diff --git "a/data/dm_maths/full_data/1533_11255.jsonl" "b/data/dm_maths/full_data/1533_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1533_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let h = 3148 + -3149. Let y = 74\/15 - 16\/3. What is the closest to h in y, 0, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*l**2 + l**2 + 4*l**2)*(6*l - 6*l - l**2) + (11 + 3*l**4 - 11)*(-2 - 16 - 10) to p*l**3 + c*l**2 + h*l**4 + d + t*l and give h.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 34726041 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 - 5*b**2 - 26*b - 3. What is the units digit of m(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5358216 * -0.02.\nAnswer: -107164.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -0.3445807.\nAnswer: -4.6554193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220545 divided by -44109.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m - 23 - 29 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*(-2 + sqrt(147) - sqrt(147)) - (sqrt(147) - (sqrt(147) + 0 + 2*sqrt(147) + sqrt(147)))) + 3 + 3)**2.\nAnswer: 168*sqrt(3) + 1334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14464 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1251 - -626?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/30*10\/(-14).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 242358*n**3 - 3497452 wrt n?\nAnswer: 727074*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 13*u**3\/3 + 7*u**2\/2 + 5*u - 6. Is b(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -150, -298, -446, -594, -742?\n\"Answer: -148*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43152206?\nAnswer: 2, 2801, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(4\/(-2) - -4). What is the highest common factor of 18 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4597267266?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*q**4 - 6*q**4 + q**4 - 3*q**4 - 569 - 2*q**4 - 2*q wrt q?\nAnswer: -8*q**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 10:50 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 - (-27 - (-2793)\/(-49))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 - 6*b**2 - 7*b - 7. Is p(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -1\/6*x**4 - 5*x**2 + 0 + 0*x - 1\/6*x**3. Let a be m(-1). Solve -4*f = -f - r + 8, -a*r = -15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 12*u**2 + 31*u - 196. What is l(-15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10 from -57177884.\nAnswer: -57177874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20f (base 16) to base 6\nAnswer: 2235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 - (-4008710)\/480. Let d = -8348 + g. Find the common denominator of d and 111\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 111353)\/(-4)*1. Suppose 4*t - 1078 = -k. Is (2\/(-6))\/(((-14)\/t)\/(-7)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.46 (b) -1\/9 (c) 26 (d) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 978 is divided by (-2)\/(8\/(-6) - 296\/(-240))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + 191. Is j a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.74 + -1.93. Let c = -1.129 - s. Let w = c - -10.939. Is w bigger than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -12 + (-13)\/(-2) + 12\/(-8) + 58272?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (10 - (16 - 15)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**3*q - 56*d**2*q**2 + d**2 - 29*d*q**2 - 7*d wrt d?\nAnswer: 18*d*q - 112*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15 and -8.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -51*g**2 + 87*g. Let a(j) = 2*j**2 - j**2 + 3*j - 2*j. Let q(z) = 2*a(z) - m(z). Find the second derivative of q(y) wrt y.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from hwhccwgkwcwkhhwc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3366 and 5202.\nAnswer: 57222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171849?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + r. Let y(i) = 18*i**2 + 2*i. Calculate -2*b(s) + y(s).\nAnswer: -2*s**3 + 18*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133*x + 7 + 10 + 137*x - 403*x + 137*x to f*x + q and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - -47)*1*3. Suppose 5*u + t = 53. Let n = 28 + u. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 + -135. Let f be -1*j\/(-7 - -4). Is -19 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 3 + 1)*(-2 - 1 + 5) + (4 - 3 - 2)*(3 - 1 - 3) - 1 + 1 + 1 + 6 - 1 - 2)*(18*l - 3*l + 5*l) as w*l + m and give w.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 37, 104, 217, 388, 629?\nAnswer: 952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfofffotottoffttt. What is prob of sequence ttty?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -492 + 459. Let v(c) = 2*c**2 + 53*c + 251. What is the hundreds digit of v(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/422 and -103\/3878.\nAnswer: 818258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57a9b (base 15) in base 5?\nAnswer: 32413041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 597132 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 9*m**2 - m + 13. Let l be s(9). Suppose 0 = l*f + 9 - 21. Suppose 0*z + 4*k + 3 = 3*z, -f = -3*z + k. Solve -z - 4 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -20, 3, 43, 2 in decreasing order.\nAnswer: 43, 3, 2, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -147641 (base 14) to base 5\nAnswer: -140240204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137059.\nAnswer: 13, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -183827.4, 2, -0.5 in decreasing order.\nAnswer: 2, -0.2, -0.5, -183827.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -143 - -174.4. Let l = 34.15 - t. Round l to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 89*x**2 + 35*x**2.\nAnswer: -56*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 0*j**2 + 5*j + 1\/1080*j**6 - 2*j**3 + 1\/36*j**4 + 0 + 1\/120*j**5. Let q(i) be the second derivative of f(i). Factor q(u).\nAnswer: (u + 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 12190 = -4*i, 5*i = -4*m + 5*m - 2409. List the prime factors of m.\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 7) + -6 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - w + w)*(-2*w + 5*w + 3*w)*(116*w + 15*w + 9*w).\nAnswer: 1680*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1051463587?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28879 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (567\/12)\/9 - 15\/20. Let p = 11 - 6. Which is smaller: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -68? (a) 7 (b) 2\/5 (c) -5\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14305 (base 7) in base 3?\nAnswer: 12101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(-8))\/7 + (-3)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30380 = 2*k + 4*i - 30514, -2*i + 79 = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039330414 rounded to 4 decimal places?\nAnswer: 0.0393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(8\/(-2)))\/(125\/500). Put 0, f, 5 in increasing order.\nAnswer: f, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24354887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + 76. Let h be -1*9*9 + 2. Let t = h + a. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 11*l**4 - 438*l**3\/5 + 699*l**2\/5 - 304*l\/5 - 12\/5 = 0.\nAnswer: -2\/55, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-6\/5))**(-1\/9)*(r*r\/((r**30\/r)\/r))\/r**(2\/13) assuming r is positive.\nAnswer: r**(-15443\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 33.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 - 3*p + 2. Let c(w) = 6*w**2 - 9*w + 6. Let t(b) = b + 1. Let d be t(-12). Let s(a) = d*l(a) + 4*c(a). What is the tens digit of s(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 55 and 159 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*v + 4*c, v + 29 = 2*v + 5*c. Suppose v*d = -45 - 299. What are the prime factors of (-51)\/17 - (d*1 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10695 divided by 1195\nAnswer: 2139\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/6)*o**(-2\/9))\/(o**(2\/21)\/(o\/(o*((o\/(o**11*o))\/o)\/o))) assuming o is positive.\nAnswer: o**(1703\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -264 + 418. Suppose 3*q - 2*l = 139, 4*q + 59 - 246 = l. What is the remainder when v is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -891*i**5\/20 + 46665*i**4\/16 + 14729*i**3\/6 + 1535*i**2\/2 + 106*i + 11053. Find n such that p(n) = 0.\nAnswer: -2\/9, -2\/11, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*v - 62*v - 55*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 49*j**2 + 14*j. Let h(m) = 10*m**2 + 3*m. Let z be (-11 - -4)*(-3)\/(-6)*-4. Let v(t) = z*h(t) - 3*b(t). Let c(g) = 15*g**2. Determine c(v(y)).\nAnswer: 735*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -110*n**2 + 3*n + 3. Let f(t) = -222*t**2 + 7*t + 6. Calculate 13*d(w) - 6*f(w).\nAnswer: -98*w**2 - 3*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*y + 57318 = 103*y. What is the remainder when 1735 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 8}. What is prob of picking 2 m?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33669 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -50000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 7) to base 4.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 - 63*h**2 + 795*h + 665. Give d(-41).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14.186, 0.2, 0.5, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -5, -48 in increasing order.\nAnswer: -48, -5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(242) - (sqrt(242)*-1 - sqrt(242)))*6 + sqrt(242))**2.\nAnswer: 87362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/57, 5, 0 in increasing order.\nAnswer: 0, 1\/57, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -731 + -0.1.\nAnswer: -731.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-21)*o*o)\/o**(-3))**(-1\/8) assuming o is positive.\nAnswer: o**(15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 89 and 4.197.\nAnswer: 373.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, h: 1, w: 2, j: 3, n: 6, q: 2}. Give prob of sequence whjj.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:26 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2a385 (base 11) to base 15\nAnswer: -cb4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 145*h**3 + 0 - 139*h**3 - 5*h - h**2 - 4. What is p(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*l + 517, -2*u - l = l - 1058. Suppose 6*a - 2*w = 3*a + u, -3*a + 3*w + 531 = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5159137229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -4*w + 3*a + 36, -7 = -3*w - a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**3 + 30716*d**2 - 245536*d + 490944 = 0?\nAnswer: 4, 7671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**8\/16 + 13*g**5\/60 + 42*g**2. Find the third derivative of p(w) wrt w.\nAnswer: 1260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-165)\/(-15) - 3)*(-1)\/(-8))\/(-27)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/14, 0.05, -0.1, -1\/751, 0?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47407, -47473, -47539?\n\"Answer: -66*y - 47341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 11\/(-5)) + ((-7410)\/(-75))\/26. Sort -5, 2\/3, 1317, j, 0.5.\nAnswer: -5, 0.5, 2\/3, j, 1317","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2508 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 61.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 16, -135*j = -136*j + 2*g + 47. What is the remainder when 150 is divided by j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -48, 37, -65835 in decreasing order.\nAnswer: 37, -2, -48, -65835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -810077 times -0.2\nAnswer: 162015.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108.353241 microseconds to days.\nAnswer: 0.0000000012540884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57709699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 2*m**3 - 55*m**2 + 98*m - 5*m.\nAnswer: m**3 - 55*m**2 + 93*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3907.\nAnswer: 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**3*k**2 + 132*c**3 - 3*k**2 + 43 with respect to c.\nAnswer: 6*c**2*k**2 + 396*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyqs when four letters picked without replacement from {y: 3, s: 2, q: 1, f: 6}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 445\/2674 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -3\/4 (c) 159983218\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1\/6, 2\/11, 0.5, 5\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*c + 100*c - 181*c + 5*c**2.\nAnswer: 5*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3680)\/(-115)*(-2)\/(-3)*(-27)\/(-18).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -280687237, -280687245, -280687255, -280687267, -280687281, -280687297, -280687315?\n\"Answer: -r**2 - 5*r - 280687231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -6.4, 0.1, -38, -20, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 1) + (-1 - -2). Which is smaller: -13 or z?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 5:37 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 644, 1264, 1886, 2510, 3136?\nAnswer: 3764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 85, 1\/4, 5 in ascending order.\nAnswer: -13, 1\/4, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15865168.\nAnswer: 2, 11, 109, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(18\/3))\/(-2 - -3). Which is smaller: 0.34 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**6\/120 + z**5\/15 - 5*z**3\/6 + 3*z**2. Let g be u(4). What is the second biggest value in 2\/7, g, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1128 - -5643\/5. Let q = -0.23 - -0.42. Let f = 7.81 + q. What is the smallest value in 3\/4, f, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phhhhphphhhhphhphhh. What is prob of sequence ph?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -662 and -1988\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-14))\/(-14*24\/3528)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + o - 3*o)*(2*o**3 - 2*o**3 - 2*o**3) + 8*o**4 + 9*o**4 - 4*o**4.\nAnswer: 11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (48\/10)\/((-2)\/(-60)). Suppose -f = -x + 67. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -11197*s - 3051. List the prime factors of x(-8).\nAnswer: 5, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (32\/28 - 0)*35\/10. Let x(m) = 5 - 2*m - k + 1 + 3*m. Let d(a) = -2*a - 3. Let v = 23 + -21. Give v*d(z) + 3*x(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 5*l**2 - l**2 - 4*l**2 + 7*l**3.\nAnswer: 7*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09 - -29.09. Let h = -32 + g. Which is the smallest value? (a) -4 (b) h (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(83106\/(-38)))\/(2\/(-6))?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1602 + 1602. Solve u = 14*o - 22 - 20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + (-3 - -19))\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 - 4*p**2 + p\/2 + 4.\nAnswer: -(p - 1)*(p + 1)*(p + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + sqrt(1100))**2 + 1 + sqrt(704) + -3 + (-4*sqrt(704))**2.\nAnswer: -32*sqrt(11) + 12366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464253?\nAnswer: 3, 17, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*f + 10*f = 434 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from {u: 6, m: 1, w: 8}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b. Let x(q) = q**2 - 2085*q + 3. Determine x(f(w)).\nAnswer: 9*w**2 - 6255*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2499 and 294.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.5 (c) -13 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17377777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10020454499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 15) to base 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30*9\/90)\/(0 - -1). Let v(b) be the first derivative of b**2\/2 - 2*b + 1. Determine v(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -1829*l**4\/2 + 58*l**3\/3 + 22*l + 3730. What is the third derivative of v(j) wrt j?\nAnswer: -21948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2\/13, -7, 0.2, -94, 1, 21, 7?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 108 = 3*b. Suppose 6*c = 2*c + b. What is the highest common divisor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, -4, 2, -11 in descending order.\nAnswer: 2, -4, -11, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2381.0766 minutes to hours.\nAnswer: 39.68461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6255.541g to nanograms.\nAnswer: 6255541000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**3 - 2*l**2 - 4*l + 1. What is the remainder when i(-4) is divided by 98?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 187, 287?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 254192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4284446+-240330\nAnswer: -4524776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f**3 + 28*f**3 - 18*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 94823 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21002590?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - 5 + 61. Let b(w) = 4*w**2 + 5*w. Let t(c) = 6*c**2 + 8*c. Give x*b(v) - 5*t(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (135\/9)\/90 + 23\/24. Which is the biggest value? (a) 3\/2 (b) v (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 200*s**4 + 250*s**3 - 706*s**3 - 277*s**4 + 1017*s**4 + 1884*s**3 - 8*s**5.\nAnswer: -4*s**3*(s - 119)*(2*s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 24 - 12*t + 3*t - 11 + 12*t. Let y be j(-4). Let i be 1*-7 - (-4)\/2. Put i, y, -4 in increasing order.\nAnswer: i, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(162) - (sqrt(162) + -2 + sqrt(162))) + 2 + (sqrt(162) + sqrt(162)*-2)*2 + sqrt(162))**2.\nAnswer: -144*sqrt(2) + 665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 0. Suppose 0 = 3*k - 2*v + 7, -2*k - 5*v - 11 + 0 = 0. Sort k, 5, i in descending order.\nAnswer: 5, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7 = 2. Suppose 2*k - n - 20 = 7, 68 = h*k + 4*n. Suppose m + 3 = c - 2*c, 0 = 5*c + m - 5. Calculate the greatest common factor of c and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/50 of a kilometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1041\/1388)\/(2\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 2:53 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 280.263 - 280. What is w rounded to 2 dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(-1)*i))**(3\/38))**(-15\/4))**(5\/11) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + g = 7, 6*g = -2*j + 2*g - 16. Is j < -6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 13352*c + 22284488.\nAnswer: 2*(c - 3338)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (14 - 7) - (24\/2)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r + 414 = 9*m, -3*m + 36*r + 42*r - 52 = 74*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -9*i. Suppose 5 - 6 = -9*a + 26. Let h(m) be the second derivative of 0*m**2 + 0 - 6*m - 1\/12*m**4 + 0*m**a. Give h(b(p)).\nAnswer: -81*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + 19 + -3 + -24 + -2.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -101, -0.2, 2\/15, 4, -1\/6, -674?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(468) + -1 + sqrt(468)) - sqrt(468)*3*1) + 1 + 5)**2.\nAnswer: 37908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 784 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + p**2 + 4. Let a be j(0). Let u = -20 + 13. Let c = 3 + u. Sort a, c, -1 in descending order.\nAnswer: a, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)\/u*u*u*(u\/u**(1\/7))\/u)\/(u**(1\/2))**23*(u**(-1\/4))**24*u\/u**(1\/4)*(u**4*u)\/u assuming u is positive.\nAnswer: u**(-417\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**6\/120 - g**5\/40 - 3*g**4\/4 + 17*g**3\/6 + 11*g**2. Let w(c) be the first derivative of l(c). Solve w(u) = 0 for u.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, 3\/5, 3, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(152)\/sqrt(4)*-5 + (sqrt(2432)*-2 - sqrt(2432) - sqrt(2432)))\/(sqrt(18)\/((sqrt(9) + sqrt(36))*3)).\nAnswer: -333*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011884 to six dps.\nAnswer: -0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 11 + 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p - 12*p**2 + 3 - 1 + p + 16*p**2. Let j be (-2)\/(-5) - 114\/10. Let d(q) = -7*q**2 - 15*q - 4. Give j*u(r) - 6*d(r).\nAnswer: -2*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -124 + 243. Suppose -2*l + 4 = t - 1, 3*l - 2*t + 10 = 0. Suppose l = -2*f - y + 68, -3*f + 5*y - 43 + c = 0. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 19. Suppose 6*n + 16 = -2*n. Which is the fourth smallest value? (a) n (b) 2 (c) -3\/4 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3406066 (base 7) in base 2?\nAnswer: -1100111000110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 321 - 335101?\nAnswer: -334340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 120 = 4*v, -3*c + 2*c = 0. Suppose 23*i**2 + v*i**2 + 25*i**2 - 81*i**2 + 3*i = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392 is divided by (79 + -68)\/((-2)\/(-18))?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 0.4 (b) -12 (c) 0.71 (d) -1046\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19870, -39743, -59616, -79489, -99362, -119235?\nAnswer: -139108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j. Suppose -2*z + 3*b + 1 = -8, z + 2*b + 13 = 0. Let r(w) = 2*w + 1. Determine z*y(o) + r(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114547332.2 + 114327858.19936. Let o = -219418 - a. Let q = -56 + o. What is q rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 3*r + 9. Let l be j(-5). Let x be (-4)\/(44\/(-40) - l). Suppose -t - 10 = -x. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9629, -9887, -10155, -10439, -10745, -11079?\nAnswer: -11447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-12 - -12)) + (-21 - 0)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/408 and -19\/196.\nAnswer: 19992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 5*k - 30, -3*u - 5*k + 6 - 36 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*i = 5*r + 7, 4*i + 5*r = 3. Let m(a) = 1 + i*a - 3 + 6. Determine m(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a6230 (base 13) to base 16.\nAnswer: -a3afe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 1:10 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - -0.36. Suppose 2*w + 19 = 169*o - 164*o, 2*w - o = 1. Let n = -3.4 - -4.7. Which is the third smallest value? (a) f (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2417 - -16147. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.6 - 5.6. What is the fourth smallest value in -4, 28, 0, d?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0562 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11211997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -6.1. Let u = -0.5 + r. Which is the smallest value? (a) -4 (b) -0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 10. Suppose -5*o + 3 + 7 = q. Suppose o*z + 2*z = -3000000. What is z rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*o + 10609 - 587 + 5884 = -4758 for o.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37063121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 11*o + 1. Let y(u) = -2*u**3 - 85*u**2 - 33*u + 368. Let r be y(-42). Calculate d(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -17 + (-10 + 3 - -21 - 16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/2360049 and 31\/1218.\nAnswer: 33040686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 2, -2, 18.\nAnswer: -2, 1, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 384, 4, 5, -2, -10 in descending order.\nAnswer: 384, 5, 4, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 376, -5, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106681*-95.\nAnswer: 10134695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j - 77 - 99*j**2 - 8*j + 78 + 3*j as o + g*j + n*j**2 and give n.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5352*t**2. Let z(a) = -2*a**2. What is v(z(d))?\nAnswer: -21408*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, i: 2, q: 1, y: 8}. What is prob of sequence si?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4023 times -3.19?\nAnswer: 12833.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/9*(-7)\/(-35)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257370721?\nAnswer: 113, 2277617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) 0.3 (c) 0.8 (d) -17.4 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 67 = -4*u, -5*u - l = 2*l - 56. Let t = u + -9. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151928092 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u = 18*u + 56. What is the remainder when (106*(1 - 2))\/(-2) is divided by u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 > -4\/673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (274\/(-4))\/(10\/220). List the prime factors of 1\/(-4) - x\/44.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24, 47, 72, 105, 152?\n\"Answer: u**3 - 5*u**2 + 31*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k - 848 = -15*k. Let i = -210 - k. Determine l, given that -2\/7*l**i + 0*l + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-6))\/(1\/3). Suppose -5*s + 59 = 4*m, x*m = 3*s - 0*m - 29. Let k = 73 - 40. What is the greatest common factor of k and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 252700 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 3*x - 4*x - 14 = 0, 2*x + 13 = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 12322624.\nAnswer: -12322625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68751 = 8*f + f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2377304398 and -0.3882.\nAnswer: -2377304398.3882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125.6 + 62.2. Let o = -54 - q. Let z = -9 + o. Put -0.1, -1\/5, z in ascending order.\nAnswer: -1\/5, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2359.37907 seconds?\nAnswer: 0.027307628125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.782 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -13 + 7. Suppose -2 = x*n - 3*n. Is n\/(-5) - 28296\/(-40) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80561 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(77\/(-4)))\/((-21)\/147).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -113003 + 24?\nAnswer: -112535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v + 201 - 881 = 0. Is 39 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqdqdpd. What is prob of picking 1 d and 1 q?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m - 14*m**2 - 18*m + 14*m - 12.\nAnswer: -14*m**2 - 13*m - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-3844081.81.\nAnswer: 1922040.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 622 + -552. Let a(f) = 7*f**2 + 2*f + 1. Let u be a(3). Calculate the greatest common factor of o and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i = -4*g + 127, 4*i = 3*g - 103. Solve 5*x - g = -4*j, j = -4*x - j + 24 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69\/(-23))\/(8\/32)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-2 + 1 + 22 + -2 - (91 + -98))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2458 and 0.078.\nAnswer: 2458.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-4))\/(2\/(-4)). Suppose -s*x + 90 = 3*x. Find m such that 2*m**4 + 8 + 18*m**3 - 4 - 8*m**3 + x*m**2 + 14*m = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2 - 401582758*t + 40317177880721641 = 0. Calculate t.\nAnswer: 200791379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5433194*j**3 - 4631766 wrt j.\nAnswer: -16299582*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.6+-95.3397\nAnswer: -93.7397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 69711.47?\nAnswer: 209134.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -26*k + 1. Let r(j) = 4921*j + 5487. Let a(w) = -r(w) + 5*t(w). What is the first derivative of a(b) wrt b?\nAnswer: -5051","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/63, 780, 1\/6 in decreasing order.\nAnswer: 780, 1\/6, -1\/63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 5*c**8\/336 - c**7\/21 - c**6\/8 + 2*c**5\/3 - 5*c**4\/6 - 6*c**2 - 3. Determine n, given that p(n) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**3\/5 + 22*j**2\/5 - 46*j\/5 - 14 = 0.\nAnswer: -1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b - k + 8, -4*b = 5*k - 2. Let j be (-13 - -12) + b\/(-6). Suppose 2*c = -0 - 2. Put 2\/9, c, j in decreasing order.\nAnswer: 2\/9, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 10 - 70 = 0. Is z <= 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**5\/15 - 2*c**3\/3 + 4*c**2 + 6. Let o(j) be the second derivative of v(j). What is the first derivative of o(b) wrt b?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbss. Give prob of picking 1 b and 1 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j - 4*j - 3*j)*(2*j**2 + 2*j**3 - 2*j**2) - 6*j**4 - j**4 + 0*j**4 - j**2 + j**2 + 3*j**4 in the form d*j**2 + o*j**4 + s + b*j + k*j**3 and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -z - h + 7, 5*h = 4*z + 19 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m + 13*m - 11 - 6*m.\nAnswer: -m - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 20 = -2*u - 2*u, -g = 4*u - 10. Suppose g*n - 1 = 9*n. Which is smaller: n or 9\/11?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34790 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 230093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2014 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: Sort -270, -4, 0, 5, -2.\nAnswer: -270, -4, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4066*m*n**2*p**2 + 2*m*n**2 - 4*n**2*p**2 + 34*n**2*p - 12*n with respect to m.\nAnswer: -4066*n**2*p**2 + 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101.3 + -28.1. Let g = -129 - v. Which is the closest to -0.03? (a) -2 (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (101 + -98)*4\/24. Solve -v*m + 1\/8*m**2 + 3\/8 = 0 for m.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/((-4)\/24*1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -29, -43, -63?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 4*f - 2. Let g be t(-5). Let n(z) = -3 + g - 3*z. Let r(p) = 2*p. Calculate r(n(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48188, 96372, 144556?\nAnswer: 192740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = p + 5*k - 25, 4*p + 32 = 4*k. Let j be (8 - p)*2\/(-18). Let y = j + 11\/9. What is the nearest to -2\/7 in y, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from saslklsaddqla. Give prob of picking 1 s and 1 l.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 358 = 2*a - 711 + 353, 19*z + 3*a + 53 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2\/3*m**3 - 10\/3*m + 4*m**2 = 0. What is m?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 2:15 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + 10002201122212?\nAnswer: 10002201122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 6:04 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 10) in base 3?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and -29.74818238.\nAnswer: -29.44818238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -185992*f**4*u**3 + 270*f**3*u**3 + 4188*f**2*u**3 - 3035*f*u**3 + 8*u wrt f?\nAnswer: -4463808*f*u**3 + 1620*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/4 + 11100714*p - 41075283769932.\nAnswer: -3*(p - 7400476)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 divided by -466?\nAnswer: 199\/466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9004151?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6169 - -6199. What is the greatest common divisor of a and 1910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-17)\/6 - 41\/(-82))\/((-14)\/18). Let t be 2\/(-5) + 34\/10. Solve -x = s - 3*x + t, -k = -4*s + 3*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 8 - (-2 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 492571 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**5)\/f**(-2))\/(f\/f**(5\/4)*f\/(f*f*f*f**(-1\/3)*f))*((f\/((f*f**(-2\/7))\/f))\/(f\/((f\/((f\/(f*f*f**5))\/f))\/f*f)))**(25\/6) assuming f is positive.\nAnswer: f**(3061\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 10 = -37. Let t = w - -9. Solve -i + 4*i - 3 = t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 76464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -h + 0*h**2 + 0 - 2\/27*h**3 - 1\/18*h**4 - 1\/90*h**5. Solve m(b) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 27244*o - 92779442.\nAnswer: -2*(o - 6811)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2\/7, -81, 0.035, -1\/6, -3, 0.064?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3319790 and 1550?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2336 is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 3214440?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3*k + 4)*(0*k - k + 0*k) + 3*k**2 + 0*k**2 - k**2 + 0*k**2 + k**2 + 0*k**2 - 2*k**2 - k + k + (-6 - 1 + 4)*(5*k + 0 + 0)*(5*k - 4*k + 4*k).\nAnswer: -71*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/3)\/((-7)\/(-14)). Let t(d) be the second derivative of -y*d**3 + 0 + 0*d**2 + 3\/5*d**5 - 1\/6*d**4 + 8*d. Factor t(p).\nAnswer: 2*p*(2*p + 1)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddgdoddgddo. Give prob of picking 2 o and 2 g.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/898323 and 31\/21?\nAnswer: 6288261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 876113 + -6?\nAnswer: 876107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -10. Suppose -3*c - 90 = -2*d - 259, 4*c = o*d + 237. Let j = 36 - 22. What is the remainder when c is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32604824 to the nearest integer?\nAnswer: 5710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7, -5, -49, -143, -305?\n\"Answer: -3*w**3 + 2*w**2 + 3*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 - -17. Let s = 17 + j. Let v be (5 - s)\/((-24)\/(-32)). Solve -i = i + v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9a - 41b1?\nAnswer: -428b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/13 (b) 0.0091 (c) -0.0536\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, -43, -93, -149, -211, -279?\n\"Answer: -3*h**2 - 35*h + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/20)\/(3\/(-10)). Let g(v) = -v**3 + 5*v**2 - 2*v + 1. Let y(o) = o**3 + 3*o**2 - 4*o + 2. Let b be y(-4). Let a be g(b). Solve a = u*x - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 11*w - 6. Let x be y(-4). Suppose 49*n = x*n - 20. Solve -n*t - 24 = -o + t, 0 = 3*o - t - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.0689 - 1.116. Let a = h + 0.018. Round a to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 0.121, 1, -2, 3\/11 in descending order.\nAnswer: 71, 1, 3\/11, 0.121, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 33, 80, 147, 234, 341, 468?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2598 divided by 6\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 16*c**3.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 48 = -13*o. Suppose -3*u + 23 - o = -5*v, -2*v = -2*u + 18. Calculate the remainder when 44 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00055479923 to 7 decimal places.\nAnswer: 0.0005548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57 and 27.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 14 = -4*k, -4*k + 22 = -3*p + 6*p. Suppose -6*d + 4 = -p*d. Suppose 2*s - 2 = 0, s - d = -0*a - 3*a. Solve -5*h + f = 2, a = h + 2*f - 2 - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (6*-4)\/(-3). Let q(b) = b - 3. Let y be q(g). Solve -2*h + 3*h = -y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6914 is divided by 3077?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2.6, -0.3, -4, -8.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -p + 1757. Let m = 252 - p. Let g(y) = -20*y**3 + 8*y**2 - y + 6. Let d(f) = 21*f**3 - 9*f**2 + f - 7. Let z(w) = 6*d(w) + 7*g(w). Calculate z(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 13. Let x(v) = 33*v + 71. Let q(t) = a(t) - x(t). Determine q(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a84 - 2577?\nAnswer: -3550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/7 - 17486232*z\/7 - 17486235\/7.\nAnswer: 3*(z - 5828745)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 10*p**2 + 169*p - 35. Let b(m) = 7*m**2 + 113*m - 24. Give 5*a(x) - 7*b(x).\nAnswer: x**2 + 54*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.03 - -2.030265. Round l to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 203*c. Suppose 5*b - 1049 = -0*b + g, -3*b + 631 = g. Let x(y) = -108*y + b*y - 101*y. Determine n(x(f)).\nAnswer: 203*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 3*q**4\/8 - q**3 + 3*q**2. Let d be p(6). Is 13 a factor of -3*1\/(-3) + d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*j + 1 + 4*j - 23*j as h*j + w and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2*(5 - 6))\/((-8)\/(-76))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.082\nAnswer: -0.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9\/4*s**2 + 13\/4*s + 1 = 0. What is s?\nAnswer: -1, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*s + 62*s + 53*s - 340 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + 9\/(-2))*(-70)\/15. Let j(m) = m - 5. Calculate j(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + -15a?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2191 and -7929.\nAnswer: 17372439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c + r + 9, 0 = 5*c + 5*r + 15. Suppose d + p - 4 + 3 = 0, -3*d + 5*p - 5 = 0. Let b = d - -3. Sort c, 1, b in descending order.\nAnswer: b, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u + 7. Let x(m) = -5*m - 9. Let y(p) = -4*c(p) - 3*x(p). Let i = 11 - 9. Let v = i + -6. Calculate y(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**4 + 3*s**3 - 3*s**2 - 3*s + 3. Let f(q) = -4 - q**3 + q - 4 + 7 + 0. Let b(y) = -3*f(y) - g(y). What is the third derivative of b(o) wrt o?\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 964.1936 + -965. Let h = i - -0.883. Let r = h - 0.075. What is r rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-25)*(-5)\/(-1). Suppose 0 = -5*g - 5*f - 47 - 38, 45 = -l*g + 3*f. Calculate the least common multiple of (-8)\/(-3)*(-60)\/g and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + (-13 - -8 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x - 82. Let a be i(28). Let h = a + 50. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3) + -4 - 7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + (46 + -23 - -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -277 - -501. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**3 - 13*j - 12*j + 8*j.\nAnswer: -8*j**3 - 17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 240920658?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*q - 50*q + 6*q**2 - 2 + 2*q**4 - 5*q**2 - 13*q**2 to the form r*q**3 + s*q**2 + d*q + h*q**4 + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + 3*n**2 + 0*n**2 + (5*n - 2*n - n)*(0*n - n + 3*n) + (4*n - 3 + 3)*(-51*n - 79 + 79) in the form d*n**2 + x + g*n and give d.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.03, 0.2, -2, -2333, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*(l**(4\/3)\/l)\/l*((l**1\/l)\/l)\/l)**(-50)*(l**3*l**(-1\/2))\/(l*l\/(l*l**(-2\/3)*l*l*l*l))**50 assuming l is positive.\nAnswer: l**(205\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b + 156 + 1344 = 0. Let t be (-10)\/8*60\/(-2)*2. What is the greatest common divisor of t and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t + 2. Let y(a) = -a - 1. Suppose -2 = -5*v + 3. What is v*w(m) + y(m)?\nAnswer: -4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-85)\/(-105) + 3\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 25*v**2 - 3633*v + 654. Determine r(145).\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95598 and 904?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 12:46 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**6\/120 - p**4\/24 + p**3\/6 - 3*p**2. Let f = 0 - 0. Calculate the smallest common multiple of x(f) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 24, -34, -5, 7 in descending order.\nAnswer: 24, 7, -2, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2028 divide 158013648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 11*a + 44. Which is bigger: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74 (base 15) to base 10\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-16))\/(3\/(18\/3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5666, 5667, 5668, 5669?\n\"Answer: t + 5665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-15) + 1872\/(-180) + 108. Solve 679*b + g = 693*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.838 less than -3407?\nAnswer: -3406.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7882.925 kilograms in micrograms?\nAnswer: 7882925000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 2*r**2 - 20*r + 21. Let u be m(1). Let y(j) = 52*j - 6. Determine y(u).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**2*p**(-2\/23)*p**(-2)\/p**1 assuming p is positive.\nAnswer: p**(-25\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 302\/23 (b) -164 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1210517344?\nAnswer: 2, 37828667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63676964.6526 + -0.7.\nAnswer: 63676963.9526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 5) to base 3\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - g**2 - g + 12. What is c(-3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.91 - 0.09. Let o = -1 - n. What is the closest to o in -4, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 125 = -4*l. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -8*y + 12. Let n = -52 - -35. Is n < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10.13, -1, -1\/5, 19\/6, 0.5, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 80, 44, -5 in decreasing order.\nAnswer: 80, 44, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 6*i. Let p be a(-7). Let v = p + 10. Suppose -v*u - 2*u = -25. Solve k - 8 = 4*q, 2*k + 0*q + 23 = -u*q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 14800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/8)\/((-12)\/(-400)). Which is smaller: -0.1 or m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - -4) + 12 - (-38 - -48)) + -32.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -360930, -360843, -360740, -360615, -360462, -360275, -360048?\n\"Answer: h**3 + 2*h**2 + 74*h - 361007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 + 11*j**2 - j - 1. Let b be w(5). Suppose -20*m + b*m = 0. Sort 3\/4, -2, 1\/4, m.\nAnswer: -2, m, 1\/4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 29\/(-6) - 5\/30. Which is the third smallest value? (a) 2\/11 (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = s - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p + 2*p**2)*(3 + 3 - 5) + 8*p**2 - 755 - 747 + 1495.\nAnswer: 10*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2172 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1058 is divided by (-24)\/30 - (-5345)\/25?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1394320, 2788644, 4182978, 5577322, 6971676, 8366040?\nAnswer: 9760414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2958921847 to the nearest integer?\nAnswer: 1436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d**2 - 6*d**2 - 4*d**2 - d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, x: 3, z: 4, m: 2}. What is prob of picking 2 m and 2 z?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r + 25. Calculate p(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffufrfffrrraaff. What is prob of picking 1 a, 1 u, and 2 f?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 bigger than 120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.719084*-0.4.\nAnswer: -0.6876336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136397.\nAnswer: 136397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 31*s**2 - 38*s + 125. What is the hundreds digit of t(-32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23008 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3931609, 7863221, 11794833, 15726445?\n\"Answer: 3931612*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 4*d + d - 24, -d + 3 = -f. Let u = -123 + 122.9. Which is the closest to f? (a) -0.4 (b) 2\/93 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2851d4 (base 14) in base 15?\nAnswer: 1c8e38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.7 - -23.7. Which is the third biggest value? (a) 1 (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**3 - 4*d**2 - 17*d + 7. Let i(m) = -m**3 - 3*m. Let v(k) = -6*i(k) + r(k). What is v(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-34) + 168\/(-306))\/((-52133)\/1332 - -39).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 6756035?\nAnswer: -6756032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*t**2 - 18*t**2 + 43*t**2 + (3*t - t - t)*(t + 3*t - 5*t) - 2*t**2 + 0 + 0.\nAnswer: 38*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 4*n + 20. Give g(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1168829\/2297280 - 886\/2393. Calculate the common denominator of 7\/768 and y.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 divided by 165?\nAnswer: -71\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -127*g**2 - 428*g + 114*g**2 + 8*g**2 to l + c*g**2 + o*g and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 704492 is divided by 13543?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 341041143 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-1 - 0)\/(38 + -30). Let r = 0.16 - -0.14. What is the third smallest value in 5, r, 0, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 723 + 209?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -8*d - 8. Is 8 a factor of h(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3\/5*t**3 + 0*t**2 + 0 + 3\/5*t**4 + 0*t = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 j, and 1 w when three letters picked without replacement from {c: 4, k: 2, j: 3, y: 3, w: 2, g: 4}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53941?\nAnswer: 17, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + 3*f**3 - 2*f**3 + 3*f**3 + f**3 - 6*f**3 + 59*f**3 + 48*f**3 - 93*f**3 + (3*f**2 - f**2 - 3*f**2)*(3*f - 3*f + f).\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27170.64 millennia in years?\nAnswer: 27170640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**2 + 13257*l + 2056050 = 0?\nAnswer: -150, 4569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-2 + 3) - 1. Let t = 0 - w. Find the third derivative of -3*k**5 + 0*k**2 - t*k**2 - k**5 wrt k.\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 0.1746938?\nAnswer: -36.8253062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 509062398?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 + 53*j**3 - 35*j**3 - 13*j**3 + 16*j - 2*j**2 in the form x*j**3 + n*j**4 + y*j**2 + b + i*j and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10573.87 times 231\nAnswer: -2442563.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 197 + 224 = f, -v = -3*f + 1263. Suppose 0 = 2*q + 45 - f. Let i = q - 75. Is i a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 444*k**2 - 12544*k + 7119*k**3 + 12544*k - 445*k**2 in the form r + g*k**2 + q*k**3 + s*k and give q.\nAnswer: 7119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-144)\/90*(-18)\/(-8)*5\/(-15). Sort -1\/16, 5, -2\/13, k, -1\/2 in decreasing order.\nAnswer: 5, k, -1\/16, -2\/13, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 53824, 215198, 484122, 860596?\n\"Answer: 53775*o**2 + 49*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101081996 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4840?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580062.\nAnswer: 2, 3, 7, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-889)\/(-889))\/((-4)\/42*12\/(-32))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-1))\/((-624)\/4056)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-245)\/(-25) + 3\/15. Let c(o) = o**2 + 9*o - 10. Let d be c(a). Suppose -2*f + 4*p + 120 = 0, -2*f = f + 4*p - d. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5117365 litres in millilitres?\nAnswer: 511.7365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 201*m**2 - 204*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5578.45mm?\nAnswer: 557.845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*d + 25*d + 148*d to the form m*d + u and give m.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5979, 11860, 17753, 23664, 29599, 35564?\nAnswer: 41565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 13 = -d - u, 0 = d + 4*u + 17. What is the common denominator of (-279)\/(-30) + d + 0 and 47\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1434 - 535. What are the prime factors of w?\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z - 4*z - 56 = 8*z for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -40*u - 15. Let c be f(8). Let w = 670 + c. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/109 and -45\/92977.\nAnswer: 92977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 - 3*h + 3. Let i(b) = b**2 + b - 1. Let l(n) = -3*i(n) - r(n). Let s(q) = -9*q**2. Give s(l(p)).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 8:59 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 10 (c) -29\/4 (d) -1\/54 (e) 3 (f) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2 - 3*o + 5. Give y(-5).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 - 48*n**3 + 84*n**2 + 392*n.\nAnswer: 4*n*(n - 7)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*q - 49*q - 24 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -177620921\/1218 - -145830. What is the common denominator of y and 22\/9?\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 135 in descending order.\nAnswer: 135, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000028419 to 7 decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -q - 6, -2*y = q - 4*q - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1963 - 1186. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-14)*(((-198)\/(-11))\/18)\/(-1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.8 - -8.98. Let r = 12.38 - t. Let c = 15 - r. Which is bigger: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 7 = q - 2*q, 2*q + 14 = 2*v. Suppose -3*t + v*t = 20. Calculate the remainder when 6 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 9*u + 2*k = -1260, -4 = -k. Let g = u + 331. Is g smaller than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 45\/2 of a millennium?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 23925171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -18*l + 6. Suppose s - 3*q = 17, 4*q + 18 = 2. Let a be r(s). Let o be (-24)\/a - 66\/(-14). Solve 4*n + 5 = o*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23948*o**3 - 2*o**2 - 632*o + 2 wrt o?\nAnswer: 143688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -977956 + 1405811. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272*f = -268*f. Suppose f*l + 4180 = 10*l. What are the prime factors of l?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 214\/23 - -3245\/69. Let n = 57 - h. Suppose -3*k = -5*k. Which is the closest to n? (a) -4\/7 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36.8 + -37. Let x = -1.94 + -0.06. What is the smallest value in x, i, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-13)\/(715\/10) - (-19509)\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -3\/7 (c) 1.9 (d) -2 (e) -2341 (f) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-12)\/(-56)*2\/3.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.25 + 0.3. Let j = y - 0.15. Let z = -5.9 + j. Which is the third smallest value? (a) -0.5 (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-97654)\/(-40) + (-1)\/2. Let g = h - 2437. Calculate the common denominator of g and (-4)\/(96\/27) + 2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (49098\/(-84))\/((-7)\/2). Solve -166*a + q*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5 - 121*y + 250*y - 130*y. Calculate w(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, p: 2, h: 2}. What is prob of sequence hppl?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 53. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8902, 8191, 7006, 5347, 3214, 607, -2474?\nAnswer: -6029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 12*d + 16. Suppose -5*u + 43 = 4*s, -10 + 1 = -3*u. Suppose 21 = -s*k + 98. Calculate t(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*w + 89*w - 40 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 2\/5, -1\/5, -24\/17?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q - 38. Let t = 4 - 2. Calculate the smallest common multiple of m(-10) and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x. Let f be u(-6). Let t = 70 + f. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**5\/2 + 45781*o**4\/2 - 45785*o**3\/2 - 137345*o**2\/2 + 22892*o + 45782 = 0.\nAnswer: -45782, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 m when three letters picked without replacement from {m: 2, h: 2, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 plus 3?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 27 - 15 = 0. Let 8*p - 8*p**3 + 6*p**2 - k*p**2 + 4*p**2 - 4*p**4 = 0. Calculate p.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 67, 82, 103?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251 divided by -33862.\nAnswer: 251\/33862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 324 - 530. Let b = h - -205.6. Suppose 0 = 3*m + 4*t - 25, 22 + 21 = 3*m - 5*t. What is the nearest to 1 in 4, m, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/2))\/(k*(k*k*k**28*k)\/k)*k\/(k*k*k**(-16))*k*k*k*k*k\/(k\/(k**(2\/19)\/k)*k))**(-2\/3) assuming k is positive.\nAnswer: k**(509\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, 18155, 7 in increasing order.\nAnswer: 7, 94, 18155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - p - 10. Let f be v(0). Let o be ((-2)\/8)\/(f\/8). Let l = -14955 - -14956. What is the third biggest value in o, l, 1\/3, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 13105543?\nAnswer: -13105542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1288423*t**2 - 2 - 1288428*t**2 + 4 + 152*t + t**4 + 113*t to the form n + h*t**4 + z*t**3 + c*t + x*t**2 and give c.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4547713*h*m**4 + 4*h*m**3 + 23820936*h wrt m?\nAnswer: 18190852*h*m**3 + 12*h*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 360 and 5.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 531370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13663b (base 15) in base 8?\nAnswer: -3436052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, g: 2, d: 4, m: 4, k: 2, i: 2}. Give prob of sequence imk.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -3*i + 4*s - 5*s, 5 = 5*s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*f - 2)*(-4*f + 1 + 4*f - f**2).\nAnswer: -3*f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a**2 - 4*a + 7. Let l(m) = -5*m**2 - 4*m + 6. Let o(v) = -7*l(v) + 6*x(v). Let z(t) = -5*t**2 + 5 + 5 - 5 - t**3. Let p be z(-5). What is o(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 7. Let j be t(-7). Suppose 0 = 5*l + 4*r - 36484, r + j + 4 = 0. What is l rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32.6 - 5.8. Let j = s + -22.8. Which is the closest to -0.1? (a) -0.03 (b) 1\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**2 - 15*h**2 - 201*h**2 - 7*h**2 - 40*h**2 + 78*h**2.\nAnswer: -177*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 10:55 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 6:14 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*k - 13*k - 13*k + (1 - 3 + 1)*(-2*k - 2*k + 3*k) + 2*k - 3*k + 3*k)*(-19 + 63 + 105).\nAnswer: -447*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 9, w: 6, q: 4}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 8 = 2*w + 10, -5*o = 15 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3 + 9. Suppose 2*p = 4*a + 144, 3 = 3*a + c. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2965443 less than or equal to 2965443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*m - 2076 - 417 = -117*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 961*t - 68277. Determine k(71).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 709\/2504402 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 1:14 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*q - 4*q - 9*q - 6*q - 64*q**2 to m + a*q + p*q**2 and give p.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 165 and 9?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-130)\/(-15)) + 22021\/(-4332)\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -188 + 344. Suppose 0*o = -4*x - 4*o + u, x - 2*o = 27. Let j be (68\/x + -2)*-5. Put 1\/3, 4\/5, j in decreasing order.\nAnswer: 4\/5, 1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5115 and 210.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152118 divided by -162.\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 110111011111001010000 (base 2) in base 11?\nAnswer: 1032042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.15 and 2209106805086.\nAnswer: 2209106805085.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283 = 58*c - 86 - 37 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/2720229, 2 in decreasing order.\nAnswer: 2, -2\/2720229, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.60166 milliseconds to microseconds.\nAnswer: 80601.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1500))\/(sqrt(192) + sqrt(192)*2 + sqrt(192) + sqrt(192)).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (769 - 240 + 520)*(0*t**2 + 0*t**2 - t**2)*(4*t**3 - 2*t**3 + 0*t**3).\nAnswer: -2098*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -205?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 10*l**2 - 287*l + 293. Let v be f(-23). Solve -v*d + 153 = 102 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*q**6 + 60*q**4 - q**3 + 32*q**2 - 3*q - 124 wrt q.\nAnswer: 4560*q**3 + 1440*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1288000 and 2833600?\nAnswer: 14168000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 bigger than 276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-65)*7\/(21\/(-60)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 309 (b) -1\/4 (c) -407 (d) 1 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + n**2 - 2*n**2)*(-3 + 4 - 3) - n**2 + 3*n**2 - 4*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 3:31 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n - 38*n**3 + 73*n**3 + 2 - 41*n**3 - 2.\nAnswer: -6*n**3 - 15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1754 is divided by 36.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -702969259812.\nAnswer: 702969259813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -370637755 - -10.\nAnswer: -370637745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1049.2 + 996.2. Which is the second biggest value? (a) o (b) 0 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**6\/120 - o**5\/20 - o**4\/24 - o**3\/3 + o**2 - 1. Let k(n) be the second derivative of p(n). Is k(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 16) in base 15?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -478\/189 - -76\/27. What is the third biggest value in -5, j, -1\/13, 4\/9?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10460, -20982, -31514, -42062, -52632, -63230, -73862?\nAnswer: -84534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (-37727)\/(-1178) - 56?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -2540?\nAnswer: 2535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-464 + 464 + 12*a)*(2 - 3 + 3) + (0 - 2*a + 0)*(7 - 1 - 3))*(-1 + 5 + 2).\nAnswer: 108*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5405380037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39793065, 39793075, 39793085, 39793095?\nAnswer: 39793105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1671973 is divided by 4019?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a - 98 = -5*v, -61 + 25 = -a - 3*v - 30 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 337485001?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 155 and 14317.\nAnswer: 2219135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 552.78 - 553. Let k = r + 0.22000662. Round k to 7 decimal places.\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/18 - -5\/9. Let i = -2.4 + 2. Put -1, i, 5, t in increasing order.\nAnswer: -1, i, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldo when three letters picked without replacement from doddldooldod.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.28 + -3.12. Let s = c - -4. Let z = 1.4 + s. What is the nearest to 0 in z, -2\/15, 0.4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-15)\/6)\/(17\/204)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (10\/(-6) - (-1)\/(-3)). Let n(u) = -u + 2. Let y be n(h). Is 3 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 4*x - 5 = 0, 602*h - 4*x + 10 = 1196*h - 592*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 7:20 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 + 4*x - 5. Give h(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15497.047 + 15487. Let b = -9.9 - 0.1. Let d = b - y. Round d to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 15428\nAnswer: -30856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-4))\/(3\/(-6)). Let k(v) be the third derivative of v**6\/120 - v**5\/12 - v**4\/24 + v**3\/2 - 35*v**2. Calculate k(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Let m = 0.2 + x. Let t = -261 + 260.7. Put t, -2\/5, m in decreasing order.\nAnswer: m, t, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/297 or 1?\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 96\/5*j - 24\/5*j**3 - 4\/5*j**4 - 64\/5 - 4\/5*j**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/22 and -91\/5804.\nAnswer: 63844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/8)*m**7\/m)**(-2\/45)\/(((m**(-8)*m)\/(m*m\/m**(-2)))\/((m\/(m*m**3))\/(m*m*m\/(m*m**1)*m*m))) assuming m is positive.\nAnswer: m**(283\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 - 11*i - 18)*(-3580 - 3560 + 477 - 1908 + 1145) to the form m + s*i and give s.\nAnswer: 81686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 109807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88094 is divided by 2142.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41359655 to the power of 1\/3, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/442 and -55\/208.\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12681 - 12671. Solve -2*c + 11*o - 1 = z*o, -o = -4*c - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 9. Find the common denominator of 131\/12 and z\/((-320)\/212) + 3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46771 - 21315 = -296*v for v.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**2 - 8092587*m + 8092587*m.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2204393354?\nAnswer: 2, 157, 7020361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/1896 and -103\/56.\nAnswer: 13272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + n - 12 - 3 = 4*n, -9*d = 585*n - 590*n + 79 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f - 3. Let d be w(-2). Suppose d*n - 6*n = -12. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 3. Let b be a(4). Let n = 11 + -8. Sort n, 5, b in ascending order.\nAnswer: b, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -m + 18, -4*i + m = -4*m + 27. Put -1, i, 2, 4 in descending order.\nAnswer: 4, 2, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 65, 110, 133, 122, 65, -50?\n\"Answer: -2*b**3 + b**2 + 56*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*r**2 + 267*r**2 - 138*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -30?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = p - 514. Let j(o) = -566*o + 3 + p*o - 17. Determine j(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-4) + 2)*(-2 + 2). Which is the closest to 1? (a) -3\/4 (b) -282 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 290044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19938142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235 + 1420 = -71*j - 1300 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -4086.7422 - -4087.28760639. Let l = z - -31.45441061. Let x = -32 + l. Round x to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 26*c + 0 + 0.\nAnswer: -27*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0569 from -0.95.\nAnswer: -1.0069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000043779592 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u - 114. Let f be -2*(u\/(-27) - 2). Which is the nearest to 1? (a) -1 (b) f (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1842.114 to the nearest 10.\nAnswer: -1840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 + -18. Let q = 89 - 63. Suppose 0 = 4*p + 2*m - t, -q + 11 = 3*m. Solve a - p = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5))**(28\/5)\/(w**(2\/15)\/w*w*w**(-2\/9)*w*w*w) assuming w is positive.\nAnswer: w**(-403\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60.598901 + -52.5988988. Let s = -8.19 - -0.19. Let z = s + u. Round z to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3984*c = -1875*c + 71706 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.64472 millilitres?\nAnswer: 0.00664472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 6)*(0*l**2 + 0*l**2 + l**4) + 2*l - 2*l + 2*l**4 - 104*l + 35*l**4 + 693*l**4 + 102*l.\nAnswer: 736*l**4 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*y - 3. Let z be (-1)\/(y - (0 + -6)). Let m be (-2)\/8 + 114\/(-120). What is the smallest value in z, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9360\/7 or -1336?\nAnswer: -9360\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -432*1\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.25. Let p = -35.05 + 33. Let g = y + p. What is the third biggest value in 2\/5, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.3608706 to three decimal places.\nAnswer: -4.361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -385*r + r**4 - r**3 + 2*r**2 - 1 + 791*r - 416*r as l*r**4 + u*r + n + m*r**2 + w*r**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 3*f - 4. Let d be h(3). Let u = 32828 + -32831. Which is the nearest to d? (a) 0.5 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 238267951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 184 = 88. Let n = -48 - i. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 - 0.1. Let p = 0.1 + -0.2. Let i be 0 + 6*(-1)\/(-9). Which is the closest to -2\/7? (a) i (b) s (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/11)\/((z*z*z\/((z\/((z*z*z**(-7))\/z))\/z*z)*z)\/z))**24)**(3\/2))**(19\/4) assuming z is positive.\nAnswer: z**(7866\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3315284?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 1e0e23a?\nAnswer: -1e0e23d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2 minus -10.9945137?\nAnswer: 4.7945137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54015.\nAnswer: 3, 5, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 110*l**2 - 2008*l - 682. What is t(-87)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -643\/5 + 129. Which is the closest to -1\/3? (a) 0 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 41, 4, -1 in descending order.\nAnswer: 54, 41, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -362. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1748 and 8924.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m - 174. Suppose 0*l + 9 = -3*l, -4*l = -5*x + m. 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 1011001 (base 2) in base 11?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**7\/210 - f**5\/15 + f**2 + 2*f. Let r(b) be the first derivative of n(b). Find the third derivative of r(z) wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2398526955611 and 3.\nAnswer: -2398526955608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1680495 is divided by 93331?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 2*d - 6801, -5*p + 3*d + 4585 = -2226. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqzztqztctztczzzcznq. What is prob of sequence qq?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*-9*(-68)\/60. Let t = -46 + h. Suppose 0 = -4*j - 2*p + 210, 0*j = 3*j - t*p - 177. Calculate the remainder when j is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 240232 - -21411?\nAnswer: 302043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-92)\/(-16)*520\/1300\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.8 + 7. Let c = 9.833 + -9.63298. Let f = c - s. Round f to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 560707?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 155187 and 1230669?\nAnswer: 52918767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5))\/(1\/2 - (-296)\/(-80))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bdbdq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m**2 - 3*m**3 - 10*m + 2*m**3 + 21*m. Let u be a(-6). Solve -11 = h - u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/59, 0.5, -0.1, -15.1, -0.8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((45\/3)\/((-4)\/1))\/((-2442)\/(-13024))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3420, -3940, -4876, -6234, -8020?\nAnswer: -10240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4052 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4816*o**2 - 5*o + 100. Let k(r) = 4816*r**2 - 4*r + 80. Determine 5*k(c) - 4*y(c).\nAnswer: 4816*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -674*p**2 + 335*p**2 + p + 340*p**2 - 17 to the form s*p + w*p**2 + o and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.117076 + -0.1073. Round v to four dps.\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.097 and 1994.\nAnswer: 1993.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**2\/11 - 140016*i\/11 - 140018\/11 = 0.\nAnswer: -1, 70009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 29 * -14\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14470876 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4760 - -4959.1. Let b = c - 199. Do 22 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23744)\/4452)\/(1\/6).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 53 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**2 + 8*s - 1. Let u be f(2). Solve 6 = 2*q - 5*j, q - 5*q + u = -5*j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-10)\/(-4))\/(-5))\/(10\/(-2560)). Does f = 129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 48*r**2 - 104*r.\nAnswer: 2*r*(r - 2)*(r + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457776 a multiple of 328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1636902713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34476793 is divided by 84.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:38 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6527 is divided by 429?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 4*r + 1791, 9*w = 4*w - r + 1779. List the prime factors of w.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 5. Let r = -538 - -539. What is the closest to r in x, 4\/7, 1\/8?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 - k + 6. Let p(c) = -8*c**2 - 4*c + 24. Determine 9*l(y) - 2*p(y).\nAnswer: -2*y**2 - y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -1 (b) 1\/4 (c) 24 (d) 1\/3 (e) 9.5 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -2)*1\/(-6). Let q = 0 - 0. Let n = 0.2 + q. Put 0.4, n, j in descending order.\nAnswer: 0.4, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j = -30*j + 2. Let s be (-2)\/(-52)*2*j. Let y = -5 - -3. Which is the third biggest value? (a) y (b) -4\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1128411, 1128336, 1128261?\nAnswer: 1128186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 9:03 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*u - 24*u + 99*u**2 - 85*u**2 - 2)*(2*u**3 + u**2 - u**2).\nAnswer: 28*u**5 - 20*u**4 - 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59*f**2 + 46*f**2 - 82*f**2 + (-1 + 1 + 2*f)*(-4*f - 2*f + 4*f) - f**2 - 3*f**2 + 3*f**2.\nAnswer: -100*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s**2 + s + 1. Let c(u) = -63*u**2 - 5*u + 9. Determine c(g) + 5*d(g).\nAnswer: -33*g**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 573 - 569. Solve -4*j = -l, -j = -r - 3*j + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b**2*c**2 - 5*b**2*c - 101909888*b**2*g - b**2 - 8*b*c**3 + 391*b*c - 7*c**3*g - 513*c**2 wrt g.\nAnswer: -101909888*b**2 - 7*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + 4*t**2 - 6 + 3*t**2 - 1 + 6 in the form h*t**2 + w + y*t and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64 in 1, -11, -1\/289?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 divided by -6957?\nAnswer: -179\/6957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*k + 1 + k)*(2 + 0 - 3).\nAnswer: -4*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1, -0.18, -2\/7, -0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -64*h + 48*h + 59*h**2 + 72*h**2. Let p(s) = 2*s. Give p(o(k)).\nAnswer: 262*k**2 - 32*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 + 20*w**2 + 2*w + 12. Let o(z) = z**3 + 8*z**2 + z + 5. Let k(g) = 12*o(g) - 5*u(g). Let l(f) = -f**2 + f. Determine k(d) - 2*l(d).\nAnswer: 2*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -299 + 293. Let j = 25 + -19.1. Let t = x + j. What is the second smallest value in t, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4133 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (4 - (-2 + 7) - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 6*c - 3. Let z be 6\/4*(1 - -5). Let s be (-3 + z)\/((8\/(-2))\/(-2)). What is the units digit of i(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6272 - 200629\/32. Let g = -451\/10 - -165\/4. What is the common denominator of z and g?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1728 - 1696.38. Let t = -0.064 - 30.936. Let f = g + t. Round f to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 7 - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 34092*l + 6034310. Calculate a(-177).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 2*a + 8. Let k be r(-4). Suppose -d + 7 = -k*d. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Let a(c) be the third derivative of 0*c - 100*c**2 + 0 + 1\/3*c**3 + 0*c**4 + 8\/5*c**5. Give a(x(h)).\nAnswer: 96*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - h = 6, -h = -0*h. Suppose -8*d + 4 = -6*d. Sort i, d, 5.\nAnswer: d, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -346416*o**3 + 17318*o**2 - 5 wrt o.\nAnswer: -2078496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-272)\/10608*((-45)\/(-5))\/1?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyyyyuyyyyyu. Give prob of picking 4 y.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j + 0*j + 5*j - 15. Let c be i(8). Let m(q) = -q**2 - 9*q - 5. What is m(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -226432, -226434, -226436, -226438, -226440?\n\"Answer: -2*o - 226430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**4\/4 + 31. Let r(j) = 3*j**3 + 35*j**2 + 80*j + 60. Let s(p) = 2*n(p) + r(p). Factor s(k).\nAnswer: 5*(k + 2)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.67 - -1.73. Let w = y - 6.06. Which is the nearest to 1? (a) 6\/7 (b) 0.7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3403045 - 0?\nAnswer: 3403045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**3*v*x + 152*g**3*v + 50*g**3*x + 4*g**3 - g**2*x - g*v*x - 4*g*v wrt x.\nAnswer: g**3*v + 50*g**3 - g**2 - g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13138401*v**5 - 16522415*v.\nAnswer: 262768020*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 123.1 + -118. Let p = 0.1 - d. Which is the third smallest value? (a) p (b) -0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/3*p**3 - 2\/3*p + 5\/3*p**2 + 1\/3*p**4 + 0 = 0. Calculate p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycyc when four letters picked without replacement from {y: 2, e: 2, c: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 18*p**2 + 4. Let c be t(18). Solve 3*n - 2*u - 18 = 0, 0*u = c*u + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -520356 (base 11) in base 5?\nAnswer: -203204321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 6:27 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1000 - -204?\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*n + 38. Let k = n - 3. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*p**2*y**5 - 2*p**2*y - p**2 - y**5 + 5*y wrt y.\nAnswer: 160*p**2*y**3 - 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43976 is divided by 14628.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 37200.11ml?\nAnswer: 37.20011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 111, 4, 4120, -4.\nAnswer: -4, -3, 4, 111, 4120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 29 (b) 0 (c) 2\/19 (d) -12 (e) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6281576*g*l**3*w**4 + 291724*g*l**3 - 13*g - l**3*w wrt w?\nAnswer: -25126304*g*l**3*w**3 - l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1011001 (base 2) to base 3\nAnswer: 10022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 196 - 98. Calculate the highest common factor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(30)*2)\/sqrt(6) + ((sqrt(45) - sqrt(90)\/sqrt(2))*2)\/sqrt(9) + -4.\nAnswer: -8*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 183, 428, 813, 1362, 2099, 3048, 4233?\nAnswer: 5678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w + 39. Let n be q(19). Let b = n + 1. Suppose 0 = -0*y + b*y - 4. Let j(m) = 9*m - 1. Give j(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 707 and 5050.\nAnswer: 35350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-966)\/(-5))\/(1\/(-10)). Let i(n) = -4*n**2 + 15*n + 2. Let a be i(4). Let j be y\/486 + (2 - a). Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 12 = -x, 12*x - 8*x = q - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b + 3. Give f(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 12 - (1 + -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 19*b**9\/504 + 4*b**5\/15 + 25*b**2. What is the third derivative of m(a) wrt a?\nAnswer: 2280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0.2. Let r = i - -0.3. Let n = 4 - -1. What is the second smallest value in r, 5\/6, n?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57428?\nAnswer: 2, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5344\/21 + -1779\/7. Let w be 0\/2 + 3\/(-6). Let u = -0.3 + 0.1. Which is the nearest to w? (a) z (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/41 in -2\/57, -3, 57, -1, 3\/5, -6?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(208))**2 + 2)*5 + ((sqrt(13) + (sqrt(13) - 2*((sqrt(52) - sqrt(13)) + sqrt(13))))*-1*5)**2.\nAnswer: 2350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.163, -183\/8, -0.2?\nAnswer: -0.163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 862, 854, 856, 874, 914, 982, 1084?\nAnswer: 1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1460 and 286355348?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 106*w**3 + 16*w**2 + 16*w - 16. Let i(m) = -35*m**3 - 5*m**2 - 5*m + 5. Give -16*i(l) - 5*t(l).\nAnswer: 30*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - y**2 - 2*y + 36400. Let c be f(0). Round c to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**2 - 111*f - 181. Determine o(-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-12))**(4\/5) assuming n is positive.\nAnswer: n**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-4*o + 4*o + 2*o) + 15386*o - 21947*o - 33485*o + 2063*o - 34369*o.\nAnswer: -72354*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2787 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3807*i**2 - 6747*i - 15. Let z(j) = -1903*j**2 - 3372*j - 6. Let q(k) = 2*f(k) - 5*z(k). Find the second derivative of q(d) wrt d.\nAnswer: 3802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + sqrt(99) + sqrt(99).\nAnswer: 4 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -47*h**6\/24 - 136*h**3\/3 - 446*h**2. Differentiate r(z) with respect to z.\nAnswer: -705*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 + 106*m - 299. Let y be w(50). Let p(a) = -2*a**2 - a + 7. Let o be p(3). Let c be 4\/o - 20\/28. Is y at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 2.39?\nAnswer: 2.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 20*c**2 - 50*c - 21. Let d be b(17). Let n(k) = -k**2 - 6*k - 1. Let h be n(-6). Put h, 6, 4, d in decreasing order.\nAnswer: 6, 4, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -4. Let r = q - -3. Is r at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1841*x. Let u(a) = -3*a**2. Calculate g(u(z)).\nAnswer: -5523*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17344*s**5 + 15102*s**2?\nAnswer: 1040640*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/28)\/(33\/9 + -4). What is the closest to -4\/7 in -0.4, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iyyiyyyyyyiyyyyyiyy.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9462457 to the nearest integer?\nAnswer: 3076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 + 99. Is 38 a factor of b\/4 + (-8)\/(-16)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 3*h + 5 - 3, -7 = 3*h + 2*v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-3*sqrt(1872) + 2)*5)**2 - ((-4*2*sqrt(65) - sqrt(65))\/(sqrt(225)\/sqrt(5)))**2.\nAnswer: -3600*sqrt(13) + 421183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12? (a) 3\/2 (b) 6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1846 + 1914.845. Let s = p - -0.155. Let n = 66.1 - s. Round n to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 10, -1 in decreasing order.\nAnswer: 10, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*sqrt(1331) + 5 - sqrt(1331))*3 + 1*sqrt(1331)*-6*3)**2.\nAnswer: -6864*sqrt(11) + 766825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 11*p - 12. Determine x(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -150\/19 < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -2*t**2 - 4. Let d(o) = 37*o**2 - 39*o**2 + 12*o**2 + 16*o**2. Calculate d(h(u)).\nAnswer: 416*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 - 2*r - 1. Let x be (-2 - (1 - 0)) + -1. Let l be t(x). Let s = 35 - 24. What is the greatest common divisor of s and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -25*b**5\/3 + 7345*b**4\/3 - 27703*b**3 - 7695*b**2 + 22806*b + 10152 = 0.\nAnswer: -3\/5, 1, 12, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -903, -949, -983, -999, -991?\n\"Answer: r**3 - 53*r - 851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = 12*u - 252. Let h be (1 - u\/16) + (-7)\/28. Suppose -j - 5*r = 15, -15 = 3*j - 6*j - 3*r. Solve -5*d = -h*d + j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/25)\/(6*8\/(-7144680)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.612 - 1.45. Let t = d - 0.1729. What is t rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/132 - 4176232\/(-264) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 30*t + 57. Give p(28).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/30*16\/12. Which is the third smallest value? (a) -0.1 (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1584)*1 + 4)**2.\nAnswer: 96*sqrt(11) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13220\/260 + 4\/26 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-110))\/((8\/20)\/1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2214, 26, -1 in increasing order.\nAnswer: -2214, -1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11001111100100110 (base 2) to base 12\nAnswer: 51606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9761*z - 9763*z - 84263 + 42008 + 42255.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121964 is divided by 12195?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 240373 + -58597293?\nAnswer: -58356920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 21 - 3*n**3 - 39 - 12*n**2.\nAnswer: -3*n**3 - 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*1\/(-1)*-19. Let b be 1 - 0 - (-3 + 1). Suppose -3*p = -2*r + 13, 5*p = 6*r - 3*r - 18. Solve s - r = -3*h, -q = 4*s - 3*s - b*h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -11*b**2 + 0*b**3 + 0*b - 1\/10*b**5 - 11\/24*b**4 + 0. What is the second derivative of l(n) wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116\/(-78) + 7*(-44)\/(-231)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1731 rounded to two dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 505683 and 749169.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(16\/12)*(-16)\/12. Let f = -6.2 - -6. Which is the second smallest value? (a) f (b) -11\/4 (c) -0.5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 4. Let w be 11\/(-4)*(3 - 7). Suppose -r + d*p - 6 = -17, -r + w = 2*p. What is the lowest common multiple of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2725268, -2725259, -2725250?\nAnswer: -2725241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -75*x**4\/2 - 31681680*x**3 - 6691538323476*x**2 - 5353215451584*x - 1070642076504 = 0. Calculate x.\nAnswer: -422422, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -c - c. Suppose -264 + 60 = -51*k. Suppose 4*z - 2 = -2*u - c, -z = k*u - 15. Solve -u*d + 10 = -0*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*v + 41. Calculate the highest common factor of 6 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0423511512 to 3 decimal places.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -312*i + 3738. Calculate y(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3) + 90\/27. Suppose 0 = -3*z + 3*n - 51195, -5*n + 17045 = -w*z + 3*z. Round z to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 1. Calculate x(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1, -1, 2\/7, -2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/33 in 4, -3, -312\/43?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (34*w - 22*w - 15*w)*(2*w + 3*w - 3*w) + 3 - 3 - 2*w**2 in the form g*w + b + l*w**2 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612 = 35*i + 33*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022111 (base 3) to base 15.\nAnswer: 43d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 2697*n - 138 = -2701*n, -3*b - 5*n + 186 = -0*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7456882 or -7456891?\nAnswer: -7456882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + -41. Solve -3*c**3 - 9*c + s*c - 6*c + 3 - 7*c**2 = 0 for c.\nAnswer: -3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-6) + 2 + (-44)\/6. Let s(r) = -8*r - 46. What is the remainder when 33 is divided by s(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29518.1 + 194?\nAnswer: 29712.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-234)\/(-104))\/((-12)\/224)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/130 and (135\/(-315)*452\/42)\/(240\/(-28)).\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.8 - 16. What is the second smallest value in -0.3, 0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3348\/620 - (-15 - -20).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112101 (base 3) in base 2?\nAnswer: -110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -50.1, 3\/28?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-56))\/((-21)\/(-7)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (0 - 4 - (-24 + 19)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, o: 7, t: 1, g: 2, u: 1}. Give prob of picking 1 u and 1 f.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-274)\/1096)\/(((-5)\/220)\/((3\/5)\/3)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 133 - 11. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6678578 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -109. Let i = 59.8 - p. Which is smaller: i or -4\/15?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9540)\/675)\/(-106))\/(2*(-2)\/(-3180)).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**2 - 5*a**2 + 3*a**2 - 8*a - 80 + 2*a**2 + 80 + (a - 1 + 1)*(0*a + 2*a - 5*a).\nAnswer: -7*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 277741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**4 + 16*j**3\/3 - 2*j**2 - 16*j + 1. Factor i(x).\nAnswer: 4*(x - 1)*(x + 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 9*m - 34 = -5*m, -3*k = -5*m + 13. Do k and -51\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 2. Let f be 2*(-2)\/i*1. Let u be ((-60)\/(-68)*2\/(-25))\/((-108)\/180). Which is the nearest to f? (a) -0.3 (b) 0.07 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 + 2*h - 2. Let r be b(2). Solve 4*p = -q - 2*q + 20, -2*p = -5*q - r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 929, 1, -2 in descending order.\nAnswer: 929, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*x**3 + 8*x**3 - 2 + 3 - 25*x**2 in the form l*x**2 + p*x + u*x**3 + b and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 0*v + 2*v)*(-159 - 206 - 228)*(-v**3 - 3*v**3 + 3*v**3) - 2*v**4 + 4 - 5 - 1.\nAnswer: 2963*v**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13213 - 13217. Let z(o) = -o**3 - 6*o**2 - 11*o - 8. Determine z(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 12*p**5\/5 + 10761*p**4\/5 + 2394942*p**3\/5 - 1571943*p**2 + 1698300*p - 607500 = 0.\nAnswer: -450, 1, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 5*l**2\/2 + 1. Let s(g) = -2110*g + 2110*g - 3*g**2 + 4*g**2. Calculate z(s(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7*w + 4. Let z be q(-4). Suppose -74 = -3*x - 2*b, -x = -0*x - 3*b - z. Let r be (-1 - (0 - 1)) + 65. What is the highest common divisor of x and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 797*i**6\/30 - i**5\/20 + 543*i**4\/2 - 2513*i. What is the third derivative of k(v) wrt v?\nAnswer: 19128*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -542822\/11 greater than -49347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21122202 - -1120201?\nAnswer: 100020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5460 and 525?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4+-11302\nAnswer: -11298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one sixteenth of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 2, 8, 16 in descending order.\nAnswer: 23, 16, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*2*sqrt(5600))\/(1*(sqrt(128) - -1*sqrt(128)) - sqrt(128)).\nAnswer: -2 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -277*g**2. Let f(o) = -24*o**2 + 12*o**2 + 10*o**2. What is u(f(d))?\nAnswer: -1108*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 173978, 173977, 173976?\n\"Answer: -r + 173979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkmkmmkmkkkm.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 2:07 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103 - 16 - 510)*(-2 + l + 2).\nAnswer: -629*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14.215 times -112.3\nAnswer: -1596.3445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**2 + s + 1. Suppose -3*j + 24 = -3*z, -2*j + 4*z + 4 = -10. Suppose 0 = -x - j + 5. Let d(l) = 5*l**2 - 2*l - 1. Determine x*f(p) - 3*d(p).\nAnswer: p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/9 + 332*k**2\/9 - 13312*k\/9 - 327680.\nAnswer: 2*(k - 90)*(k + 128)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4433 divided by -5?\nAnswer: -4433\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -5, -25, -67, -137, -241?\nAnswer: -385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b - 5. Let z be t(4). Suppose 0 = -z*w - w + 4*c + 8, -4*c = -5*w + 8. Put -1, w, 4 in decreasing order.\nAnswer: 4, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/5 - 0) + (-10)\/2\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30307 + -2014. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -233, -782, -1853, -3620, -6257, -9938?\nAnswer: -14837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58262864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**7\/5040 - t**5\/30 + 38*t**2. Let s(i) be the third derivative of z(i). Let h(o) = o + 5 - 4 + 10. Calculate s(h(q)).\nAnswer: -q - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y - 2, -m = -3*y - 350. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1947\/236 - (-66 + 2)\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85.4 - 85. Let x be 4\/(-10)*(-1)\/10. Which is the third smallest value? (a) s (b) 4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239977 = -134*z + 237565 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h + 323. Let q(r) = 92229*r. Determine v(q(c)).\nAnswer: -184458*c + 323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005207 to six dps.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 18*x**2 - 20*x + 7. Let m be f(19). What are the prime factors of ((-62)\/2)\/(m - -11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13011101032 (base 4) in base 2?\nAnswer: -111000101010001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*q = 107*q + 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 68394.6385 to zero decimal places.\nAnswer: 68395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(2736) + 0 + (sqrt(2736)*1 - sqrt(2736)) - 1*1*-3*sqrt(2736)*4)**2.\nAnswer: 624*sqrt(19) + 462388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 137 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f + 2 + 0*f + 0*f)*(f + 0*f - 2*f) + (0*f + 4*f + f)*(-2910 + 2910 - 82*f) to the form x*f**2 + d + p*f and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -6594a?\nAnswer: -65945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Suppose -28 = -30*z + 32. Put g, 3, 1, z in ascending order.\nAnswer: g, 1, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2\/2*(-9)\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1333944, -2667888, -4001832?\n\"Answer: -1333944*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + 17 + (-12 - 1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7074, -4, 4, 1, 8, 56.\nAnswer: -7074, -4, 1, 4, 5, 8, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 - 4*h**3 + 6*h**3 - 6*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3181723034.\nAnswer: 2, 7, 61, 521, 7151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24530834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/71262 and -91\/31672?\nAnswer: 285048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbuxxqxqxuuo. What is prob of sequence xuuq?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30473 = 5*s - 4*a, -4*s - 6085 = -5*s + 4*a. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -3 + 5 + -3 - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 5\/3, -2\/79, -4\/3, -669?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 451.56 - 324.8.\nAnswer: 126.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8\/9, -11, -221 in descending order.\nAnswer: 8\/9, -4, -11, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 12:17 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 10*w**3\/3 + 5*w**2\/2 - 4. Let x(g) = -g**2 - g. Determine h(y) + 5*x(y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 0, 59 + 37 = 3*o - 3*s. Let z = -20 + o. Calculate the greatest common factor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 51. Calculate the smallest common multiple of 18 and l.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 792575417?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17023*z**4 - z**3 + 2 - 16961*z**4 + 0*z**3 + (4*z**3 - 4*z**3 + 2*z**3)*(-4 + 2*z + 4).\nAnswer: 66*z**4 - z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -12988, -2, -0.432, 3?\nAnswer: -12988","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u**2 - 123*u + 105. Let l(a) = a**3 - 5*a**2 + 2*a. Calculate the remainder when n(17) is divided by l(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 3*n + 1. Let h be o(7). Suppose -155*t - 219*t - 28271 = -125885. Calculate the highest common divisor of t and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -10*k**2 + 618*k - 3841. What is w(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 6*v - 3*v)*(2*v**3 + 6*v**3 - v**3) - v**4 + 0 + 1 + 0*v**4.\nAnswer: 20*v**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 50\/8500*3502 + 4\/10\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44053639 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 2*i**2 - 4*i**2 + (-5 + 5 + 1)*(5*i**2 - 4*i**2 - 3*i**2))*(-10*i - 3 + 3)*(i + i - i)*(-2*i + 0*i + 3*i) + i**5 - i**4 + i**4.\nAnswer: 41*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - v**3 + 3*v**3 - 4*v**2 + 0*v**3 + v**4 - 3*v**3 in the form d*v + u + h*v**3 + c*v**4 + g*v**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6434 is divided by 153?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.963 + 5.863. Which is the smallest value? (a) l (b) -21 (c) -1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13838379 + 0?\nAnswer: -13838379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Let l = 5 - 1. Let p(c) = -c**3 + 3*c**2 + 4*c + 2. Calculate the remainder when p(l) is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4170616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 + 31*q + 5. Let g be u(-8). Which is greater: g or 9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -916*k + 17632. Give i(17).\nAnswer: 2060","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = v + 17810, -3*k + v + 10698 = -2*v. Suppose -k - 14733 = -6*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d**1\/d*d)*d*d)**(-37)\/(d**(-2\/9)*d*d**(-2)) assuming d is positive.\nAnswer: d**(-655\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 0.8.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48\/5 - (-2 + 48\/30). Solve 0 = -0*r - 5*r - k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 + 0.38. Let l = -2 - 6. Let j = 7.5 + l. What is the closest to 0.1 in -5, t, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1305 and 7830?\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6283 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 163 - 610 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -94451*g**3 + 6*g**2 - 40457427.\nAnswer: -283353*g**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 4*f**2 + 5*f - 6. Suppose 4*d = 3*d + 3. Suppose -1 = d*u - 73. Suppose 4 - u = 3*v - 5*p, 5*v + 24 = -p. Determine i(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5798.409 litres to millilitres.\nAnswer: 5798409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v = 27*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 189121766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 9:19 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*r + 7*r - 292 = 0, -2*t + 4*r + 170 = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474897427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (250\/(-375))\/(-2 - -1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -47 (b) 2\/21 (c) -6\/5 (d) -0.1 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -4 - (-9 + 2)) + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - 318614?\nAnswer: -318602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**4\/48 - 7*o**3\/24 + 9*o - 4. Factor f(b).\nAnswer: -b*(b + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -30.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5*i + 35, -5*i + 11 + 4 = -v. Let g be (2\/3)\/(i\/9). Differentiate -1 - 8*u**4 - g + 0 + 0*u**4 with respect to u.\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f + 4*d + 97 = 0, d = -4*f + 88559 - 88582 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in hours?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1447 - -11517\/8. Calculate the common denominator of x and 123\/(-63)*(-6)\/4.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 3678*l + 3381921.\nAnswer: (l + 1839)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-14 - -3)) + (-5 - -4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 8*d - 7. Let i(n) = -26*n + 30. Let t(j) = -9*j + 10. Let m(l) = 3*i(l) - 10*t(l). Let g(s) = -7*f(s) + 5*m(s). Does 17 divide g(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z + 12. Calculate the highest common divisor of 51 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 - -9081?\nAnswer: 9099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {f: 2, m: 3, y: 4, v: 2, k: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6)*(-9)\/(-120)*600\/(-16). Which is the biggest value? (a) -4\/7 (b) 5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0 + 0 + (-w - 5 + 5)*(3 - 4 - 1))*(8*w - 9*w - 9*w).\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73484 is divided by 24460.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 20*l + 19*l + 62 = 0, -2*j = -3*l + 26. Is -28 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 s, and 1 b when three letters picked without replacement from {b: 3, n: 1, j: 2, s: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 13*n**2 + 2*n**3 + 23 - 13 + n**4 as w*n**3 + l*n**2 + m + h*n**4 + q*n and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -301 - -323. Sort -3, 2, c, -6.\nAnswer: -6, -3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -293, -9167, -33249, -80141, -157445, -272763, -433697?\n\"Answer: -1267*o**3 - 2*o**2 + o + 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2 - 2. Solve w*y = 3*s - 19, 0 = -3*s - 2*y + 7*y + 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2380 and 833?\nAnswer: 16660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2300089 divided by 11.\nAnswer: -209099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 7*l**2 + 7*l + 1. Let v(k) = -k + 9. Let a be v(7). Suppose 0*s + 40 = a*s. Calculate the remainder when s is divided by d(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -41, -261, -847, -1985, -3861, -6661, -10571?\n\"Answer: -31*u**3 + 3*u**2 - 12*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*(-33)\/(-1188)*-9 + 49\/(-11).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 v, and 1 f when three letters picked without replacement from mmqfvim.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydyyydyydyyy. What is prob of picking 1 d and 2 y?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 0 - 3*b + 13\/2*b**3 + 7\/2*b**2. Is w(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -3, -5, 0, 171, 5.\nAnswer: -5, -3, -1, 0, 4, 5, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - 21) + 1 + -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 337bb05 - 3?\nAnswer: 337bb02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3355 = 5*q - 10*q. Suppose -2*a + 1033 = -q. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 17 = 2*j, -14 = -v + 3*j - 2*j. Suppose i - 4 + 37 = 0. What are the prime factors of 6\/i - (-321)\/v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1527*m + 19854. Let p be n(13). Solve -d = p*g + 8, 127*d = -2*g + 125*d - 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from {b: 2, g: 6, v: 2, n: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 41*h - 308. Give a(31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-1)*(-208)\/78. Let w(n) = n**3 + 3*n**2 - 3*n - 3. Let p(r) = -2*r**3 - 10*r**2 + 8*r + 8. What is m*w(x) + 3*p(x)?\nAnswer: 2*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-3)*a**4\/a)**(-1\/51))**(-32))**(-1\/6) assuming a is positive.\nAnswer: a**(-16\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -532*x**2. Let c(a) = -7*a. What is c(t(n))?\nAnswer: 3724*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 444*l**2 - 2991*l - 4230.\nAnswer: -3*(l + 2)*(l + 5)*(l + 141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -94*x**2. Let s(h) = -1001153 + 1001155 + 0*h + 5*h. What is n(s(a))?\nAnswer: -2350*a**2 - 1880*a - 376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1182 - 1?\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a0c (base 16) in base 9?\nAnswer: -28002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p - 13*p - 6 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) 1\/6 (c) -1 (d) 16\/3 (e) -0.5 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112022222 + -110?\nAnswer: 112022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 1550.\nAnswer: 10850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15380 - 15376. Solve 9 - 25 = -f*l, -5*l + 20 = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + 1)*-5 + -1 + (-1 + sqrt(931)*-1)*-6 + (sqrt(931) + sqrt(931) + -1 + -5 - ((0 + sqrt(931) - sqrt(931)) + -1)) + 3 + -4)**2.\nAnswer: -252*sqrt(19) + 8415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6336 times 2?\nAnswer: 12672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 5*b**2 - 6*b + 5. Let g be t(-6). Suppose g*i - 1 = 6*i. Let v be 49*i\/(2\/(-2)). Calculate the greatest common factor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**2 - 59*h + 21. Let v be w(-15). Let r be (2 + -1)*250\/10. Suppose -v*m + 5 = -r. Let g(n) = n**2 - 7*n - 4. Determine g(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 10 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/((-68)\/204).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (135\/(-36))\/(81801\/(-27264) - -3). Suppose -a = -33*a + u. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2496) + sqrt(2496)*1)\/(sqrt(3) + (sqrt(432) - sqrt(432)*2)))**2.\nAnswer: 3328\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, -5, -134406, 8 in ascending order.\nAnswer: -134406, -134, -5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 277472991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 4*p - 39 = -3*d, 3*d = 37*p - 213. Which is the second smallest value? (a) 3\/20 (b) 1\/18 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*b = u - 182, 4*b + 52 = 3*u + 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1, -36.99212 in decreasing order.\nAnswer: -0.5, -1, -36.99212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(10\/5))\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29, -56, -85, -116?\n\"Answer: -v**2 - 24*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-37 - -30) + (-100)\/(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (0 - 0 - (10 + -13))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77269*q**2*r**4 - 3*q**2 + q - 124*r**2 + 1 wrt r?\nAnswer: -1854456*q**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -51b8 (base 15) to base 12\nAnswer: -9bb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3515 + -3526. Let m(c) = -7*c - 23. What is m(r)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + -1)\/1 + (-1080)\/(-70) + -12. Solve -6\/7*y + 3\/7*y**2 + t = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*t - t. Solve 4*h = -5*b - 0*b - 28, 2*b + t = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q - q - 2*q**2 - 4*q + 4*q + 2*q**2 + (38 + 2*q**2 - 38)*(0 + 2 - 1) in the form b*q**2 + a + y*q and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -115279685*j**2 + 74983058*j wrt j?\nAnswer: -230559370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56999\/221 + -3562\/17. Let u = g + -10607\/234. Let w = -383\/158 - 6\/79. Calculate the common denominator of w and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**6\/30 - 1346*c**5\/15 + 452929*c**4\/6 - 45*c**2 - 4. Find y such that z(y) = 0.\nAnswer: 0, 673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 = 26*v + 3*g, 1126*g - 25 = 3*v + 1124*g for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -7*j**2\/2 - 2. Let d be (1 - 4) + 8\/2. Let a(x) = -2*x + 2. Let s(r) = -r + 2. Let b(t) = d*a(t) - s(t). Determine b(p(m)).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from {p: 11, w: 2}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*12\/(720\/2670)*-1?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 + 5*c - 4. Let a be h(1). Let m(d) = -39*d - 13. Let z be m(a). What is the units digit of (-2)\/(-13) - 9470\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*a + 5*a + 4*x, -5*a - 2*x = -23. Suppose a*v = -2*v + 200. Calculate the remainder when v is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(5) + 2 + sqrt(40)\/sqrt(32).\nAnswer: -3 + 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -179, -296, -433, -596, -791?\nAnswer: -1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -19*z - 6. Let b(t) = -t. Determine b(y(s)).\nAnswer: 19*s + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1942175*p**6 + 107*p**5 + 92151465*p**2?\nAnswer: 233061000*p**3 + 6420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-10)*-1)\/(751\/(-11265))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 88.5862 decades?\nAnswer: 0.885862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 4 - -1) + 4. Suppose -z + 24 = 4*d, 0 = 4*z - 2*d - k - 4. Suppose -l + 22 = z*m, -l + 7 = 5*m - 20. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**4\/12 + 8*q**3\/3 + 8*q**2. Let g be u(-7). Suppose -5*p - 334 - 323 = -g*f, -5*f = 4*p - 1659. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6711.5 + -6712. What is the third biggest value in g, 0.2, 1\/2, 0, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 3*g - 6, 1137*g + k = 1140*g - 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62 - 48) + (5 - 30) - -17 - 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + q - 3. Let m be d(0). Let t be -5*(m - 52\/(-20)). Suppose -j = -u - 3 - 2, -2 = -4*j - 2*u. Solve t*g + j*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*p - 102 = 0, 4*r + 0*p + 118 = -3*p. Let a = r - -46. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 1:58 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xmmmxmpoxxm. Give prob of sequence xomp.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/3)*v)**(-1\/13)*(v*v**(-5)\/v)\/v**(2\/5))\/(v**(-5)\/((v\/(v\/(v**(1\/9)\/v)))\/v))**(-5\/4) assuming v is positive.\nAnswer: v**(-5509\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 240.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139381 is divided by 634?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 1:48 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1282 and 3306278?\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 185\/7, -1, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 176 - 36. Suppose -2*j = i - r, 5*j - 53 = i + 290. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1458145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 15 - -4 - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 1363*n + 1237. List the prime factors of t(37).\nAnswer: 2, 12917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58.2 and -26904.\nAnswer: -1565812.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 622054 - s**2 - 311024 - 311030.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v + 4*v - 33. Let k be v\/((-12)\/(-520)*5). Solve -3*y + 5 = -3*q + k, 0 = 2*q - 5*y - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((k + 2*k - 2*k)*(-2 + 4 + 0) + (5*k + 0*k - 4*k)*(-3 - 2 + 3) + 2*k + 0*k - k)*(-3*k**3 - 9*k + 9*k).\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = i - 6*i + 18, 4*i - 11 = -j. Suppose -14 = -3*h + 4*c, 3*c - 8*c + 50 = i*h. What is the remainder when 37 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 60 = -4*p, 9*d - 12*d + 39 = -3*p. Which is smaller: p or -0.0794?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 396\/14 - (-2)\/(-7). Factor 2*f**4 - 52*f + 10*f**2 + i*f + 28*f + 4*f**3 + 4*f**3.\nAnswer: 2*f*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, n: 3, t: 3, i: 2, v: 2}. Give prob of picking 1 k and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from bssssvdldbmvdbvsb?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (-2)\/(-4))*0. Suppose 3*o + d*o = -4*a + 39, 2*a = 3*o + 33. Suppose 0 = a*w - 7*w - 5. Which is greater: w or -1.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (524\/917)\/(1\/35)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 318503855 a multiple of 445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - l = 80, 3*v - 13*l - 48 = -12*l. Calculate the greatest common factor of 40 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 99 = -3*k - n, 2*n + 27 = k. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437389026.\nAnswer: 2, 3, 72898171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6202686 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c - 17133 = -48*c - 119*c + 2073 for c.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 95 + 0*k + 0*k + 2*k**3 - 13 as i*k**3 + z*k**2 + d + q*k and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 693317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 3796708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a - 1. Let p be h(1). Suppose 2*b = p*b - 24. Suppose -373 = 9*j - 409. Solve 3 = 3*o + x - 2*x, -5*o - j*x = b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -1, -4, 2\/9.\nAnswer: -4, -1, -0.04, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 8*t + 10. Let r be i(9). Let f(n) be the first derivative of 17*n**4\/2 - 2*n**3\/3 + n**2\/2 - 2. Is 14 a factor of f(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 131\/37 and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 642.3589km to centimeters.\nAnswer: 64235890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/45 - 130\/(-18). Let y = -3 + n. Let b(p) = 2*p + 25. Let u be b(-10). Solve y*t - u = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 1 + -5 + (0 - -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**4 + 3*v**3 - 3*v**2 - 3*v. Let m(k) = -2*k**4 - 7*k**3 + 7*k**2 + 6*k. Let i(j) = -6*m(j) - 14*s(j). What is the second derivative of i(b) wrt b?\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 - 3 + 4 + 0 - 4*l - 2*l**2 + 0 + 21*l**2 to j*l + i*l**3 + q*l**2 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-5))\/(0 + 1). Let d = -129.6 - -129.6. Which is the nearest to d? (a) -0.9 (b) z (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1323 - 581. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.029*-268.47\nAnswer: -7.78563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 4*u + 28, 0 = 72095*v - 72097*v + 4*u - 26 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3 + 3)*(2737 - 788 + 2656).\nAnswer: 9210*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - f + 0*f)*(-2*f**2 - f**3 + 2*f**2) + 4*f**4 - f**4 + 2*f**4.\nAnswer: 7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -17. Suppose k - j*k + 2*r + 84 = 0, -2*r = 4. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -11*z**3\/2 + 2*z + 373. Let k(j) = 32*j + 1. What is -2*k(w) - 3*u(w)?\nAnswer: 35*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10a5 (base 16) in base 5?\nAnswer: -114021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.233 (c) 9 (d) -2.4 (e) 2\/11 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 15*t - 47*t. Which is bigger: t or 2\/1081?\nAnswer: 2\/1081","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 - 57. Suppose -5*a + 81 = -2*f, f - 3*a = -k - 37. Which is greater: f or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 1076?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -184. Let x = t - -167.98. Suppose 0 = 2*m - 5*v - 12, 2*m + 2*m - 5*v - 14 = 0. What is the closest to 1\/4 in x, m, 4\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 357032 to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.95 + 0.15. Let o = u - 0.1. Let l be (1\/2)\/((-9)\/(-54)). What is the third smallest value in l, o, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u**2 - 55 + 7*u - 36 + 115 - 86 to the form l*u**2 + d + j*u and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**(-2\/9)))\/(g**(-4)\/g))**(11\/5))**(-31\/2) assuming g is positive.\nAnswer: g**(-14663\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 43. Suppose 4*m = 3*i + n, 4*m = i + 14 + 14. Solve 2*h + 25 = m*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/6 (b) -3 (c) -65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29*2 - (0 - (-1 + -1)) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y - 1 - 2*y**2 - 53*y**3 + 109*y**3 - 53*y**3 + 3*y**4 as a + q*y**3 + o*y**2 + r*y + d*y**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 5*n = -221 - 132, -2*n + 116 = 2*w. What is the remainder when 384 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4462894*k**3 - 3*k + 3*k.\nAnswer: -4462894*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v - 11 + v**2 + 11 + (v**2 + v**2 - 5*v**2)*(4 + 6 - 4).\nAnswer: -17*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l + 5*l + 2*l**3 + (l - 3*l + 0*l)*(-5*l**2 + 4*l**2 + 0*l**2) + 53*l**3 - 51*l**3 + 4*l**3 + 144 to the form a*l + c*l**2 + r*l**3 + g and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1543 - -1538. Let j(r) = 5*r. Let t(v) = 6*v + 1. Determine z*j(m) + 4*t(m).\nAnswer: -m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7428.\nAnswer: 2, 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 0*b = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22451239?\nAnswer: 283, 79333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/(125\/(-40) - -5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 2*r + (3 - 3 + 1)*(4*r + 4*r - 6*r + (-r + 0*r + 0*r)*(-1 + 1 + 1) + 5*r + 0*r - 3*r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1004 and 524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114.6974 - 0.8426. Let c = -115.64034 - r. Let n = 0.1 + c. Round n to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7721 (base 15) to base 8.\nAnswer: 61217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -26 + 7 + (-2 - -27). Let p(y) be the second derivative of 27*y + 0*y**3 - 1\/15*y**c + 0*y**2 - 1\/7*y**4 - 23\/70*y**5 + 0. Factor p(b).\nAnswer: -2*b**2*(b + 3)*(7*b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -175*m**3 + 3*m + 7?\nAnswer: -525*m**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 + -75. Is -2\/11 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 103*d - 226*d + 110*d to the form g*d**2 + u + t*d and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 139.403073 to two dps.\nAnswer: 139.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*q + 168, -231 = 6*q - 10*q + 3*x. What is the remainder when 113 is divided by q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 + 1. Let q = 18 + -19. Let u be a(q). Let x = 3 + -3. What is the closest to -0.1 in u, -2\/9, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 43*u - 347. What is the lowest common multiple of u and 3784?\nAnswer: 3784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 650*w + 9141. Let i be v(-14). Solve -27*q + 112 = -i*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 548829432*u**4 + 737112047?\nAnswer: 2195317728*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-1) + -15 + 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1166, -1, 26 in decreasing order.\nAnswer: 1166, 26, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from attvha. What is prob of picking 2 a and 2 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/5, 3, 8\/25?\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -387*f + 2442. What is the units digit of a(-28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(3\/2*(-4)\/18). Sort -2\/7, g, -0.3, -5\/6.\nAnswer: g, -5\/6, -0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 168 + -2519\/15. Let a(b) be the second derivative of 1\/50*b**5 + k*b**3 - 3*b + 0 + 1\/15*b**4 + 0*b**2. Factor a(u).\nAnswer: 2*u*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**0)\/p)**(-28)\/(p**3\/(p\/((p*p**6*p)\/p))) assuming p is positive.\nAnswer: p**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 - 5*o**2 - o + 1 - o - 6*o**2. Let d be y(-8). Let h = d + -178. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-10) + 6\/(-15). Solve z*o - 7 = -g, 3*g + o - 3 = -2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*s - 60*s - 29319 = 0. Calculate the remainder when s is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 16 - 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z + 13. Calculate m(-13).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1977 + -1958. Sort z, 0.1, -2\/7, -4 in decreasing order.\nAnswer: z, 0.1, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*(-4 + (-50)\/(-15))\/((-16)\/(-258052)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4145102161?\nAnswer: 47, 1009, 87407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2508 and 1044164.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4) + -9 + 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(75) + (sqrt(75) + -1)**2 + 0 + 5) + -1.\nAnswer: -20*sqrt(3) + 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/4288 and 43\/603.\nAnswer: 38592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 1101111001011111100?\nAnswer: -1101111001011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*c - 126 + 84 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4*g + 20, 5*b + 14*g - 50 = 15*g. What is the least common multiple of 127 and b?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 417463, 1669836, 3757125, 6679330, 10436451, 15028488, 20455441?\nAnswer: 26717310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + h + 2*h + 114 = 0, 2*h + 8 = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12382155?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 47*n. Let r(g) = 41*g**2 - 4278*g. What is f(r(z))?\nAnswer: 1927*z**2 - 201066*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43406 - 21696 - 15*v - 21710.\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/((-2)\/(-8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 3:26 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 10:33 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 352 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -4) + (-3 - 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*l + 6504, l - 754 - 533 = 4*r. What are the prime factors of l?\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12472\/5 - -2494. Sort 2, 4, 6, -6, a in decreasing order.\nAnswer: 6, 4, 2, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32)\/sqrt(2))\/sqrt(8) + sqrt(8)\/(sqrt(4)*-1) + -1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247, 899, 1927, 3325, 5087?\nAnswer: 7207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 3*q, a = -q + 3 - 1. Solve 0 = -x - 1 - a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -159c + 348?\nAnswer: -1254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p + 6. Let g be q(0). Is ((-11851)\/(-14))\/(3\/g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.74019 minutes to nanoseconds.\nAnswer: 4544411400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 - 79*x**2 + 43*x + 132. Calculate m(-40).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + l + 13. Is j(-18) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 6:35 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 4*j - 3. Let u be m(3). Let b be (u*(-1)\/2)\/(16 + -12). Solve b*y + 2 = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 45 = -4*y. Suppose 0 = -3*r + y + 3, 5*p + 3*r = 32. Solve -2*a = -p*o - 6, 0*o = -3*a - 2*o - 23 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - (5*(sqrt(132) - -1*sqrt(132) - sqrt(132)) - sqrt(132)))\/sqrt(12) - (sqrt(891) - (sqrt(891)*-1 + 4 + sqrt(891) - sqrt(891)))**2.\nAnswer: -3580 + 141*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -11. Suppose 0 = 4*x - 6*x + 28. Solve -x = 4*r + a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c**2. Let j(k) = 5*k**2 - 6*k**2 + 3*k**2. Calculate i(j(x)).\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -115*n**2 + 120050*n + 10440.\nAnswer: -5*(n - 1044)*(23*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 - 3*b - 1. Let f(h) = -h**2 - 6*h + 7. Let m be f(-6). Let c = m - 9. Determine w(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 8 = -2*z + 4*k, 5*k = 15. What is the units digit of z - -6*3\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n + 10*n - 15*n + 25*n.\nAnswer: 27*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37806 = -6*m + 711175 + 571433. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 13*m = -6. Solve 0 = -m*k - 2 - 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -163*r**3 + 4*r**2 + 3*r + 13. Is w(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p*((p**5\/p)\/p*p*p*p)\/p*p)\/p)*p**0*(p**(2\/7))**(-12) assuming p is positive.\nAnswer: p**(-59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 18 * 229\nAnswer: 4122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 1159.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4\/4 - 3*a**3 - 9*a**2 + 24*a + 48.\nAnswer: 3*(a - 4)**2*(a + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 3*n**2 + 7*n - 6. Let h(y) = -4*y**2 - 6*y + 8. Calculate 3*h(b) + 4*z(b).\nAnswer: -4*b**3 + 10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-8) - (-326)\/8 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 547491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2)*(6*z**3 - 3*z**3 - 5*z**3) + (2*z + 3 - 3)*(4*z**2 - 9*z**2 - 6*z**2) to j*z + n*z**2 + h*z**3 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.51? (a) -23 (b) -22 (c) -3\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1161104 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5391 - 846345\/157. Let m = w + -2399\/2512. Find the common denominator of 41\/10 and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86*k - 550*k**2 + 379*k**2 - 317*k**2 wrt k.\nAnswer: -976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**3\/3 + 5*j + 4. Suppose 2*t - 7 = 3. Let x(g) = t*g + 4*g - 3*g. Give x(c(y)).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bobj when four letters picked without replacement from yjbybo.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -87, -91, -73, -27?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 207, -32, 4, -5 in descending order.\nAnswer: 207, 16, 4, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 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 smallest common multiple of 38 and 232?\nAnswer: 4408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*x - 324 = -25*x. Let i(b) = -2*b**3 + 13*b**2 - 13*b. Let t(v) = -v**3 + 6*v**2 - 6*v. Determine x*i(u) + 13*t(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**3 + 112*u**2 + 49*u + 1094. Calculate x(38).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 748623951 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1193, 1\/2, -4?\nAnswer: -1193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 3*h - 2*u, 0 = 2*u + 261682 - 261682 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4098 divided by 683?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(15\/(-3))*(-8)\/(-12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 - 75. Calculate the smallest common multiple of o and (20 - 1) + (0 - 1).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k. Let t = -100 - -102. Let m(z) be the first derivative of t + 1\/2*z**2 + 0*z. Determine a(m(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3 - 7*q + 8 - 2*q**2 + 1 + 3. Let j be d(-4). Suppose 3*w - 24 = -0*w + 5*x, 0 = -j*w + 3*x + 24. Sort w, -4, 0.\nAnswer: -4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*y + 3*q, -6*y + 5*q = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24392\/4685 - -6\/937. Let o = c + 5. What is the second smallest value in o, -5, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.61 - -1.636. What is the smallest value in 1, n, 2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 + 7*i**2 + 3*i - 1. Let v(a) = -3*a**3 - 8*a**2 - 4*a. Let d(x) = 4*l(x) + 3*v(x). Let p be d(3). Suppose 10 + 0 = p*y. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -347533*w**4 + w**3 + 36*w**2 - 396867367*w wrt w?\nAnswer: -4170396*w**2 + 6*w + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/26 + (-603)\/(-1287). What is the biggest value in 2, -0.03, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*m - 100*m - 53*m + 27*m + 37*m + 35*m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3389 and 139.\nAnswer: -471071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 228\/(-42)*840\/280?\nAnswer: -114\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (58\/(-8))\/((-2)\/8). Let z be 3\/(-6) + q\/2. Suppose -4*h + 59 = 3*v - 44, -4*h + 124 = -4*v. What is the greatest common divisor of h and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5 + 29 = 5*y, -5*y + 9 = -2*x. Find the common denominator of -9\/4 and x*(-4 + (-39)\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 392.2 + -257.1. Let x = n + -234.4. What is x rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16253282.\nAnswer: 2, 29, 280229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 17. Let o be u(-15). Let p = -6 + o. Sort 4, p, 3 in descending order.\nAnswer: 4, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 35?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42\/13 - -475\/26. Let m = 4\/11 + -19\/22. What is the common denominator of m and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -296, -415, -526, -629, -724, -811?\nAnswer: -890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/(-1040))\/((-1)\/(-83)) - (-1 - 4)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0.3, 4, -179313?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/9 + 2*m**4\/9 - 14*m**3 - 482*m**2\/9 - 116*m\/9 + 80 = 0. What is m?\nAnswer: -5, -4, -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4362 rounded to the nearest one hundred?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.0558 + 0.0158. Round d to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {z: 2, b: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 27499*t**2 - 5*t - 7. Let c be s(-2). Let j be (-3)\/(-1)*(-2 + 1). Let o be c - j\/((-9)\/(-3)). Round o to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m + 22 = 16*m + 4*x, 2*m - 17 = -3*x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 11 - 39*z**2 - 11. Let p(g) be the second derivative of g**3\/3 - 1716*g. What is j(p(f))?\nAnswer: -156*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -356*i**2 + 289*i - 208*i**2 + 103*i**2 - 290*i + 533 wrt i?\nAnswer: -922*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 8*u**2 - 8*u - 3. Suppose -15 = -2*b - 3. What is the tens digit of d(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6873 is divided by 33?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-12) - (-142)\/6. Let j = -8 + a. Suppose 0 = j*z - 13*z - 36. 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: Let s be (-6)\/(-15) - 64\/10. Let d be (-4)\/s*(14 - 5). Let n = -10 + d. Let c(u) = -u**2 - 6*u - 1. Calculate c(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 25, -4*y + 3*w = -y + 141. Suppose 5*m - 145 = -4*i + 65, -4*i = 4*m - 168. Suppose -m*j = -32*j + 510. Which is smaller: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229404469.\nAnswer: 7, 61, 107, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 17508 divided by -3\nAnswer: -5836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 10. Let z be c(-10). Suppose 4*i = -3*g - 1, z*g - 3*g - 9 = 0. Differentiate 0*y**2 + 0*y**2 + y**2 + i wrt y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4109058?\nAnswer: 2, 3, 228281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 16.4. Let d = -1.4 + z. Put 0, d, 6 in increasing order.\nAnswer: d, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -2\/17, -2, 0.2, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131 + 127. Let a = -0.16 + 0.06. What is the nearest to a in -1\/3, w, 2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2678 + (24\/(-15))\/(8\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.0148.\nAnswer: 0.0444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, 4, 3\/8, 0.01, -8\/785 in ascending order.\nAnswer: -2, -8\/785, 0.01, 3\/8, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 6*y**2. Suppose 4*d + 7 = 2*i - 3, 5*i + 5*d + 50 = 0. What is b(i)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/1)\/12*8*(-11)\/220.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2800*i**3 + 331*i**2 + 696*i**2 - 1027*i**2.\nAnswer: -2800*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 2*l + 11. Let z be x(5). Let a(j) = 1 + 1 - 9*j - j. Let m be a(z). What is the highest common factor of 28 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -56.21.\nAnswer: -61.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*f - 8*f. Let j(g) = -3*g**2 + 2*g - 2. Let s(w) = 4 - w - 3 + 0. What is f*j(b) - 2*s(b)?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-7)*((18 - 27) + -5). Solve -n = 5*d - 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -622463, -622460, -622457, -622454, -622451, -622448?\nAnswer: -622445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*q - 67*q + 6860 - 606 = -12*q for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61311.\nAnswer: 3, 107, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 20.9. Let f = l + 1. Let y = -1.1 + f. Is -1\/2 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 1, 7, -55 in descending order.\nAnswer: 7, 1, -10, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.04371969 - 82.767\nAnswer: -82.72328031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/(-8 - -1) - -7. Suppose s*a = -5*t + 8*a + 1105, 5*t = 5*a + 1100. Calculate the greatest common factor of t and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 492.2 - -2002.8. Let o = -2597.1 + l. Let q = 102 + o. Is -2\/47 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/77010 and 23\/43095.\nAnswer: 13014690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 8 = -2*d, 2*d - 2*n = -6*n + 28. Let h be (d\/(-4))\/((-21)\/(-28)). Let p be 37\/(-30) - 4\/(-10). Which is greater: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 24 = l, -3*l - 2*p + 6*p - 8 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - i + i**3 + i**3 - 1 + 1 + (3*i**3 - i**3 + 0*i**3)*(-5 + 0 + 1) to j + h*i + m*i**2 + b*i**3 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -155607478*j**2 - 404025688*j + 1 wrt j?\nAnswer: -311214956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 556*p**2 - 1278*p - 90403. Determine w(-558).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 4:30 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1656 and 7395903.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*v + 20 - 5, 0 = -5*v + 7*b + 35. Solve v = 21*s - 30*s - 63 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/4 + 9*o**3\/4 - 9*o**2 + o + 12 = 0 for o.\nAnswer: -12, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474.65 rounded to the nearest ten?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 5*l - 185, -23*m + 25*m = -4*l - 68. Is 8\/m - (-4 + (-343495)\/45) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 11:24 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 494950 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 10) to base 4\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 10. Suppose 5*g - s = 4*g. Factor -1\/4*u + 1\/4*u**g + 3\/4*u**2 + 0 - 3\/4*u**4.\nAnswer: -u*(u - 1)*(u + 1)*(3*u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 967, -5, 3\/4, -0.39, -0.1, -5\/2, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 1162470?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/43, -0.64, -1\/17, 35.7.\nAnswer: -0.64, -1\/17, -2\/43, 35.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/4 + 52245*q**2\/2 - 208989*q\/4 + 26124.\nAnswer: 3*(q - 1)**2*(q + 34832)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 365, 14.5 in increasing order.\nAnswer: -6, 14.5, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18893778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.5 (b) 0.12 (c) 1 (d) 0.0676 (e) -11 (f) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*s = -5*i, -i + s + 6 = 0. Suppose i*q - p = -2 + 9, 2*p + 5 = 3*q. Calculate the remainder when q is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113087854?\nAnswer: 2, 11, 5140357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 452, 58, -3, -4, 4 in increasing order.\nAnswer: -4, -3, 4, 58, 452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a hour in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 66.562?\nAnswer: 3.3281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 + 20277?\nAnswer: 20277.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4456124 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1585, 1462, 1339, 1216?\n\"Answer: -123*y + 1708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q + 32. Let g be n(-9). What is the third derivative of -65*v**2 + 2*v**3 + g*v**3 + 59*v**3 - 2*v**3 wrt v?\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 3*f + 2. Let k be ((-5)\/(-2) + f)*8. Suppose 0 = 36*a - 32*a - 8. Solve k*r = -4*v + 2*v, -r + a*v = 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 25 = 3*h. Suppose h*u = 3*v - 91, -2*u = -u - 1. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17108*o + 17108*o + 3*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 20 = -8*d. Let g(t) = 4*t + 6*t - 5*t + t**2. Let x be g(d). Solve x*k + k + 2*u = 9, -u = 4*k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2 - 32689668*n + 133576799243778 = 0. What is n?\nAnswer: 8172417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21 - (11 - -4)\/3. Suppose -7*m = -3*m + y, m - 64 = -4*a. Calculate the remainder when 49 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01303479 rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -334201 + -1?\nAnswer: -334202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 3. Let y be w(5). Let t be (-84)\/16 + 3 + y. Let r = -1\/8 - t. Which is the biggest value? (a) -3 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 7:11 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9472 and 427424?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a day in minutes?\nAnswer: 7488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 1. Let b = u - -4. Suppose -6 = -t + b. Solve t = -2*m + 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23320301 (base 4) to base 12.\nAnswer: -24215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 6:15 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b*x**3*z**2 - 35079*b*x*z**2 + 145*b*z - 2*b - 23*x**3 - 4*x*z - 11*z wrt z.\nAnswer: 6*b*x**3 - 70158*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -126105155 divided by 5\nAnswer: -25221031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*p + 7 = 0, 3*i - 4*p = 287 - 243. Solve -i = -9*y + 13*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -356, -1049, -2216, -3863, -5996, -8621, -11744, -15371?\nAnswer: -19508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)*l\/(l*l\/l**(-1\/5)))\/(l**(-2\/3))**(3\/47) assuming l is positive.\nAnswer: l**(-977\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 360407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -373696\/19 - -19654. Let v = -8729\/760 - q. Find the common denominator of 101\/16 and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wr when two letters picked without replacement from {h: 4, v: 2, w: 1, r: 7, n: 4}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 9:45 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1424 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*i - 26. Suppose -i*a = -0*a - 12. Suppose -5*r = -3*d - 131, -2*r - 25 = -a*r + d. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9197*t - 585 = 9236*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, s: 4}. What is prob of picking 2 s?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) 13086 (c) 2\/9 (d) -1\/2 (e) -22 (f) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 1740?\nAnswer: 1740.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*h + 24, -3*t = -4*h + 2*t - 12. Suppose j + h*j - 471 = -3*p, 4*p = 5*j + 646. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217364406?\nAnswer: 2, 3, 7, 5175343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 <= 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(121*w + 150*w - 206*w).\nAnswer: 65*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1300 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2914 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*z - 86*z - 4 = 0. Sort z, -6, 0 in decreasing order.\nAnswer: z, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -1. Let s(t) = -h + t + 0 + 0*t. Let f(o) be the third derivative of o**4\/24 - o**3\/6 + 18*o**2 - 23*o + 169. Give 3*f(j) - s(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -313010002?\nAnswer: -313004442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 4)*(-2*q - 3*q + 7*q + (13 - 1 + 1)*(2*q - 3*q + 0*q)) to the form t*q + g and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 11) to base 3\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -27 (c) 14 (d) 2\/9 (e) 0.21 (f) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*k**3 + 39 - 39)*((1 + 4 - 6)*(0 + 2*k + 0) + 2 - 2*k - 2)*(1 - 3 + 3) to the form a + x*k + d*k**4 + h*k**3 + y*k**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -4*u - 0*u. Suppose 0*k + k - 2*z - 75 = 0, 235 = 4*k + 5*z. What is the highest common divisor of u and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 588*h**3 + h**2 + 37*h - 62. Is t(2) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -13*n**2 - 47*n + 25. Let l be b(-4). Let i(j) = j + 4. Let g be i(-3). Solve l*k - 2*k - 5 = -5*p, k + 2*p = g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/5, -2\/1833, -2\/3?\nAnswer: -2\/1833","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -72030 rounded to the nearest 1000?\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from {h: 1, b: 1, q: 1, y: 1, z: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-12) + (-3)\/6 - 5. Let p be (-4 - 4\/2)\/(-2). Suppose 2 + 10 = -2*g. Put x, g, p in descending order.\nAnswer: p, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/144555 and -17\/96370.\nAnswer: 289110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 2390423.68 and 6551.\nAnswer: 2396974.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**3 - h**2 + 1. Let z be s(-1). Suppose -3*r + z*r = 6. Which is the smallest value? (a) r (b) 2\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2. Is 0 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4643?\nAnswer: 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60160 (base 11) to base 4.\nAnswer: -111133201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - f + 608. Suppose -t + 2*t = f. Suppose 5*q + 32 = t. Calculate the greatest common factor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 6*t = 84. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 10:43 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -784.\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -11416, 1, 7\/31 in decreasing order.\nAnswer: 1, 7\/31, -0.1, -11416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 67250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1*(-4 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7784035?\nAnswer: 5, 7, 29, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32 + 68 + 53125*z + 74389*z - 100 + 65058*z)*(0 + 5 - 3) to the form o*z + y and give o.\nAnswer: 385144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*o - 12. Let a = 8 - o. Suppose -a*y + 349 = 3*j - 131, 2*y + 145 = j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556457887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -196. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-14)*-2 - -1. Let o = -376 - -376.1. Which is the nearest to o? (a) -5 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/165*(-9)\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m + 262. Let o be l(-38). Suppose 0 = v + 6 - 1. Let z be (-2)\/(-4) + -3*(-1)\/2. Put o, z, v in increasing order.\nAnswer: v, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 347, 532, 841, 1274, 1831, 2512?\nAnswer: 3317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 3. Let t = 15 + -12. Let w be v(t). Solve 0*z + z - 5 = w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**2 + 120*t - 123 = 0.\nAnswer: -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -3, -78421 in increasing order.\nAnswer: -78421, -23, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/90 and 52\/57159?\nAnswer: 571590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.57 + 0.57. Let u = 1 - 0.9. What is the biggest value in -5, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 19*t + 24. Calculate l(23).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -842 - -841 - (-17 - 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x - 41236 = -56*x. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3761 is divided by 351.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/7 + 10*d\/7 + 12\/7 = 0. Calculate d.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 137 and -7.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 61788403279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13573793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3340583*g**3*q - 3*g**3 + 3919*g**2*q + g**2 + 148*g*q + 2*q wrt g?\nAnswer: 20043498*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*d**5*f + 1766*d**3*u + 1438*d**2*u - 2*d**2 - d*f wrt d?\nAnswer: -300*d**2*f + 10596*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23069515 - 23069515.33899618. Let p = v - -0.339. Round p to seven dps.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 4*r**2 + 7*r + 3. Let b be j(-5). Let c = b - -16. Let p = 22 - c. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 4*i + 304 = -286. Suppose -r - 303 = -4*r. Suppose c = -r + i. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4\/5)*w**15*((w*w**15)\/w)\/w**7 assuming w is positive.\nAnswer: w**(111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1891 or 1894?\nAnswer: 1891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.1. Let z = 0.6 + -2.6. What is the closest to h in z, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*i - 29*i - 252. What is the highest common divisor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 1. Let p(n) = -2*n**2 - 3*n. Give j(c) + p(c).\nAnswer: -c**2 - 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0 + 32. Let g = s - 4. Let q = 50 + g. What is the remainder when 26 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -17693*n - 53089. What is f(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/14 and (((-419972)\/3672)\/7)\/((-126)\/(-54)) - -7.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + 1. Let w(m) = -2*m + m + 2 + 1. Let d be w(-7). What is the greatest common divisor of r and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6168580 (base 9) to base 5\nAnswer: 1320341440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*p**2 + 7 + 3*p**2 + p**2 + (0*p - 3*p + 4*p)*(3*p + 2*p - 3*p))*(-67 - 57 - 5) to s*p + b*p**2 + c and give c.\nAnswer: -903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y + 84*y + 693 = 49*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -11.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 7:29 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h**3 - 3*h**2 + h. What is d(2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (74*(-2)\/(-16))\/((-107)\/428)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -243*w - 36. Determine i(-1).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + sqrt(2) + (sqrt(2) + 0)**2 + -3 + 5.\nAnswer: sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 54416 (base 11) to base 7\nAnswer: 446260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2337, 2142, 1949, 1758?\n\"Answer: p**2 - 198*p + 2534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 3:36 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 6*f + 5. What is h(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c**2 - 313*c + 5676. Give s(14).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -462 + 491. Suppose 0 = -l*y + 30*y - 5. Solve 4*h = -2*g - 10, 3*h - y*g = 7 + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*v - 32*v - 3 - 31*v)*(3 - 64 - 6).\nAnswer: 201*v + 201","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19a23a9 (base 13) to base 11.\nAnswer: 4858498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-1 - (-17 + 16) - 9)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 126594?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -305, -304, -303, -302, -301, -300?\n\"Answer: a - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5266 = -19*p + 4196. Suppose -5*w = 4*a - 412, -28*a + 23*a = 2*w - p. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24650 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 15*l**2 - 3*l + 1. Let o(d) be the first derivative of -5*d**3 + 2*d**2 - d + 15. Let q(t) = -3*o(t) - 4*s(t). What is the derivative of q(g) wrt g?\nAnswer: -30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**4 + 3*m**3 + 6*m**2 - 6*m - 3. Let o(v) = 3*v**4 - 2*v**3 - 7*v**2 + 6*v + 4. Let k(y) = 4*n(y) + 3*o(y). Determine x, given that k(x) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvu when four letters picked without replacement from vvvvuuvvuvvvvv?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.543 to 0 decimal places.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -17. Let j = 10 - r. Suppose 0 = -j*v - 3*x + 89, v + 3*x - 73 = -3*v. Calculate the highest common divisor of 144 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.24073 nanograms to micrograms.\nAnswer: 0.04024073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1629*n - 3323*n + 1690*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -13*b**2 - 287*b - 503. What is d(-20)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-8))\/(420\/24).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 2*o - 6*o**5 + (-4*o + 0*o + 2*o)*(o**4 + 2154*o + 9857*o**3 - 9857*o**3).\nAnswer: -8*o**5 - 4308*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26170.756 minus 8897645?\nAnswer: -8871474.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-1 - (-5 - 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 8:43 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-34 - -6)*-53*3\/6. What is the third derivative of 96*r**3 - 35*r**3 + 148*r**3 - n*r**2 - 49*r**3 + 1047*r**2 wrt r?\nAnswer: 960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -272.1 + 258.1. Which is the closest to 1\/2? (a) -5 (b) 3\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 5*d = 15*d + 2*d - 86, 2*d - 36 = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 140 = i. Suppose -16 = -3*r - r, 5*l = 5*r + i. Calculate the least common multiple of 4 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92537 greater than or equal to 92536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - 4?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3818*v**3 + 25*v**2 - 3065103?\nAnswer: -11454*v**2 + 50*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert b17622 (base 15) to base 7.\nAnswer: 131433431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c*c\/(c*c**0))\/c)\/c*c)\/c)**(23\/4))**(-11\/7) assuming c is positive.\nAnswer: c**(253\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 - 84 + 40 + 535*o**2 to the form c*o**2 + z + j*o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovoioovoii. Give prob of picking 3 o and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 7:57 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 14*x + m - 28 = -5*m, 3*x = -2*m + 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66.6 - 42.5. What is f rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 5928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 567.243 + 0.757. Let b = o - 568.001886. Round b to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15022 take away 641198?\nAnswer: -641198.15022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 381 or 7\/811?\nAnswer: 381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -1500*b + 3698. Is w(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/540)\/(36\/(-6)*3\/(-12))?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -23*l - 71. Let h be d(-3). Let m(a) = 6*a**2 - a - 2. Determine m(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -5. Let d be w*36\/15 - -2. Let f = -7 - -7. Which is the biggest value? (a) d (b) 3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1056 and 97\/8?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixx when three letters picked without replacement from yxxii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 50011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 2*m - 3. Let f be d(2). Suppose -f*c = 5*r - 5, -2 - 2 = -2*c - r. Solve -4 = -g - c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by -8\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9, j: 8, h: 2}. Give prob of picking 2 j and 1 h.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 527959156 and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1540.5 - -1541. Sort 506, -1\/9, j in increasing order.\nAnswer: -1\/9, j, 506","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182001 divided by 60667?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10001201212 (base 3) to base 11\nAnswer: -41351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -752617*i**3*n - 17654*i**3*y + 2*i**3 - 891*i**2*y + 2*i**2 + 59*i*n*y wrt n?\nAnswer: -752617*i**3 + 59*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 3*y - 152 + 54 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 415062?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**5\/20 - 5*c**3\/2 + 55*c**2 - 209*c. What is the derivative of o(f) wrt f?\nAnswer: -3*f**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 163*a**4\/2 - 497*a**2\/2 - 600. Find the second derivative of v(q) wrt q.\nAnswer: 1956*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 n, and 1 a when three letters picked without replacement from uaqna.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(152) - sqrt(152)*1))\/((sqrt(8) + sqrt(16)\/sqrt(2))*5) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 9*d + 7. Let a be o(3). Let y = 4.9 - 5. Which is smaller: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24602*p - 99309 wrt p.\nAnswer: -24602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 1, 157, 5, -1 in descending order.\nAnswer: 157, 5, 3, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 8*x + 22. Let a be t(-3). Let k be (-12)\/(-16) + a\/(-120)*3. Let b be -2 - (0 - 5\/4). Sort k, -10, b in ascending order.\nAnswer: -10, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 191*h - 5225. Give d(34).\nAnswer: 1269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1848 - -2107.25. Let d = h + -259. What is the second smallest value in 2\/5, d, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -335, -896, -1729, -2840?\nAnswer: -4235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2) + 42\/(-12). Let h(s) = -1 - s - 2 - 2*s. Let m(n) = -n**2 - 5*n - 5. Let k(x) = b*m(x) + 5*h(x). Let y(a) = -3*a. Determine y(k(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + 1 + 0\/(-2). Let n be 1*(15\/k + 2). Suppose 0 = -4*u + n*u - 72. What is the highest common divisor of 18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, 1 in ascending order.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 5*x - 6. Calculate r(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 114 + 130. Suppose 3*r = -11*r + z*r. Which is the closest to 0.04? (a) r (b) 0.1 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6032 and 533?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evhvrvlhlreerrhh. What is prob of picking 1 h, 1 v, and 1 r?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**8\/6720 - t**5\/20 - 2*t**2. Let k(b) be the third derivative of p(b). Let w(z) = 2*z**2. Calculate w(k(x)).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6833668023 + 36.4.\nAnswer: -6833667986.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/2 - (107899\/22)\/(-17))*-3. Is -865 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166796805.\nAnswer: 3, 5, 7, 23, 69067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7899 is divided by 465?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36743173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, j: 2, s: 6, k: 3}. Give prob of sequence jbs.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z. Let p = -102 - -115. Suppose p*h - 14 = 38. Solve h*b + 5 - 1 = z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*r + 63 = -9*b - 574*r, 2*b + 40*r + 7 = 43*r for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z + 6. Let j(l) = 21*l - 30. Determine 11*i(f) + 2*j(f).\nAnswer: -2*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 14 + -12 - (-8 - -3)) + 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/66)\/((-1)\/3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -280 by -56.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -5 (c) -0.1337 (d) -719\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -260 - -410. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -615012688 + 609021876.34. Let g = -5990873.65999752 - u. Let o = -62 - g. Round o to 7 decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 9*z**2 - 10. Let q(c) = -c**3 + 3*c**2 - 7*c + 6. Let r be q(4). Let j = 70 + r. Suppose j = -5*h - 13. What is g(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 0) + (-12 + 80 - 33) + 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.7 - -21. What is the nearest to 1\/2 in 0.2, -2\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (482\/4*9)\/(39\/52).\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 46 - (10 + 10 + -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777632747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**2\/7 + 83128*i\/7 + 863783048\/7 = 0.\nAnswer: -20782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6 + 2 - 2601*o + 2555*o.\nAnswer: -46*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(693)*-1)\/sqrt(11))\/(sqrt(12)\/sqrt(4)*5 + sqrt(3)))\/((-1*sqrt(1372) - sqrt(1372))\/((sqrt(36) - sqrt(144)\/sqrt(4)) + sqrt(4))))**2.\nAnswer: 1\/2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.232559 minus -399?\nAnswer: 399.232559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 5592?\nAnswer: 5592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57691 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*p - 4*z - 52, -p + z = 4*z - 17 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 = n, f + 0*n - 3 = -n. Suppose 0 = 2*u - f*u. Suppose -5*w + 0*r - 2*r + 56 = u, -w = r - 13. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13 + 5 - -6)\/(7\/(-6566)). Calculate the greatest common factor of 28 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*k)*(-1 - 2 + 5)*(2 + 6 - 5) as s*k + y and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -603 - 1?\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664130.\nAnswer: 2, 5, 66413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -213665\nAnswer: 3\/213665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*f + 10*f - 6*f)*(1 + 0 + 4 + 1 - 1 + 2 + (2 + 0 - 1)*(-2 + 2 - 1) + 8 + 15 + 8)*(0 - 4 + 2).\nAnswer: -1258*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -14*c + 10. Suppose 0 = 3*h + 4 - c. Suppose -34 = h*y - 218. What are the prime factors of y?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493*l - 20*l + 31374 = -11*l + 245*l for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 - 26*g**2 - 39*g + 29. Give w(-11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 33. Let h = 34 - a. Solve h*w + 4 = 4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(2*k**2 + 4*k**2 - 3*k**2) + (-4*k + k - 3*k)*(-k + 0*k + 3*k).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39441432 and 10464.\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - h + 65. Suppose -f + 2*t - t = -14, -5 = -f + 4*t. What is the remainder when b(0) is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 2. Let x = -7.04 - -0.04. Let u = x - -9. What is the biggest value in 2\/15, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 + -41. Suppose -4*j - w = -6*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**6\/120 + n**5\/12 - n**4\/24 - 3*n**3\/2 + 3*n**2 + 178*n + 3. What is k(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*k*t**3*w**4 - k*t**3*w - 3*k*t**2 + 2*k*t*w**4 - 3*k*t*w**2 + 4*k*w wrt w.\nAnswer: -288*k*t**3*w + 48*k*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -2 + 152\/(-95))*1\/2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22113 + -10312. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-80)\/48*(3 + 0). Suppose 0 = 5*y - y - 276. Let g = y + -49. Sort 3, f, 1, g.\nAnswer: f, 1, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2925 divided by 75?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2762*t + 2. Let m(r) = -2*r**2 - 23. What is k(m(j))?\nAnswer: -5524*j**2 - 63524","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(sqrt(21) - (sqrt(3024) - (sqrt(3024) - (sqrt(3024) + -2*sqrt(3024)) - sqrt(3024)))))\/(-3*sqrt(18)\/(sqrt(96) + sqrt(6))).\nAnswer: 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 2*t**3\/3 - 5*t**2\/2 - 4*t - 2675. Let j(a) = -a + 2*a - 3 + 2 + 2. Calculate 5*j(g) + o(g).\nAnswer: 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 4, -2\/3, -0.26, -1\/134?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7211?\nAnswer: 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -251 + 252. Which is the closest to 1? (a) v (b) 0.3 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/140 and -64\/35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4 - 19 = 0. Suppose 2*k - a*j - 165 = -k, -2*j = 10. Calculate the remainder when (1040 + 3)*((-10)\/70)\/(-3 + 2) is divided by k.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yiyiilyyliii. What is prob of sequence yl?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-21))\/((-4)\/(-56)). Suppose -9*d + 13*d - r = 0. Is -0.4 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 16. What is the closest to 2\/7 in 1\/5, 0.5, g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - c**5 - c**2)*(-135 - 463 + 62).\nAnswer: 536*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 - 5*h**2 - 3*h - 4. Let x be (-5)\/(4\/(-4)) - 2. Let f(c) = -3*c**3 - 9*c**2 - 5*c - 7. Give x*f(v) - 5*k(v).\nAnswer: v**3 - 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564178 to the power of 1\/2, to the nearest integer?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**2 - 334*g - 1197 wrt g?\nAnswer: 4*g - 334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 4*z**2 - 41*z - 72. Give i(9).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5447087148.004653 - -5447084776. Let x = -2372 - q. What is x rounded to 4 dps?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c + 7. Let o(s) = 2*s - 4. Let x be (-8)\/(-6)*210\/20. Suppose 5 = 2*a + 3*a + 2*f, 3*a - x = f. Determine a*k(b) + 5*o(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 2*k**2 - k + 679. Let n be w(0). Is 679 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afwveawyyyyye. What is prob of sequence ae?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**3 + 85690*f**2 - 2139245*f + 2053560 = 0.\nAnswer: 1, 24, 17113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19700837, -19700992, -19701145, -19701296?\n\"Answer: b**2 - 158*b - 19700680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 24*f**2 + 20. Suppose -52 = 58*o - 1444. What is x(o)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + (-350)\/(-39))\/((-61)\/183)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 48 - -9d?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*2 + -9 + 8. Let c(u) = u**2 - z + 7 + 4*u**2. Let n(r) = 2*r**2. What is n(c(s))?\nAnswer: 50*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -492.777 - -493. Round o to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1.2. Let w = 0.5 - t. Let x = -271\/2610 + 1\/261. What is the third smallest value in x, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*z - 22 = -7*z, -4*z = -12. Suppose 0 = 2*j - 5*r - 61, -3*r - 6 = -b*r. Calculate the remainder when j is divided by (-10)\/(-8)*2*4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10, 11, 18, 37, 74, 135?\n\"Answer: w**3 - 3*w**2 + 3*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 9\/3)\/(-1). Suppose r = 1, 6*r - 2*r + h = 5*s. Let q = 7 + s. Calculate the smallest common multiple of 20 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from qvilqlidf?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -11. Let s(j) = 14*j**2. List the prime factors of s(u).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.17 - 0.03. Suppose 0*y = y + 3. Let v = -39244\/5 - -7849. Which is the second biggest value? (a) v (b) x (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 764401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6404 + -142?\nAnswer: 6232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n = 5. Let f(w) = 3*w**2 + 6 + 14*w - n - 7*w. Let m(k) be the first derivative of -4*k**3\/3 - 4*k**2 - 6*k + 1. What is 6*f(i) + 5*m(i)?\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 16 = -103*g + 35*g + 311 - 103 + 217, -5*k = -g + 11 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2852 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 4302.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 19*o**2 + 47*o + 126. Determine d(-14).\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*t + 7658 + 5903, 0 = 3*r + 9. What is the greatest common factor of 8 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/4*(-9)\/(-42)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -113, -230, -347, -464, -581, -698?\n\"Answer: -117*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13425a3 + 1?\nAnswer: -13425a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3085\/37254 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhuw when four letters picked without replacement from {h: 6, w: 3, u: 2, q: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1730 divided by 346\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 55*v. Give t(1).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 7, -5, 12\/11, -3?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 191 - 194. Solve -i - 4*t - 14 = 0, 18 = -4*i + k*i - 5*t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**17*q))\/q)\/(q**13*q) assuming q is positive.\nAnswer: q**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -29641195.4 rounded to the nearest one hundred thousand?\nAnswer: -29600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 6*s - 15. Let z(q) = 2*q + 1. What is the remainder when g(7) is divided by z(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75 + -51. Let a(s) = 27*s + 1. Let d be a(1). Let t = -12 + d. What is the highest common factor of t and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1.9. Suppose -2*v + 52 = 24*v. Which is the second smallest value? (a) -4\/5 (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -1.25 (c) 1 (d) 22 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + -6 + 18 - 6. Solve 0 = 4*b - d - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27425.77478 + -27426. What is g rounded to 3 dps?\nAnswer: -0.225","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d + d + 3 - 6 + d. Calculate the remainder when f(-3) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/(-6)*(-2)\/3. Suppose q - h = 44. Let t = 47 - q. Which is bigger: t or 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a + 6 = 0. Suppose -f + 4 = -a*c - 2*f, -4*c = -5*f - 20. Suppose c = -5*g + 5 + 60. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82 + 72. Let a(x) = 7*x - 43. Let j be a(s). Let l = -111 - j. Solve 5*h = l*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6107 - 6107. What is the closest to l in 1\/11, -4, 3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - l**2 + 10 + 4 + 0*l**2 - 6. Let w be g(-2). Suppose -247 = -5*h + w*u, -4*h + 198 = 4*u - 6*u. Is h a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -161*i**4 + i**2 + 1234?\nAnswer: -644*i**3 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2 + 2 = 0. Suppose 2*h + 4*b + 566 = l, -h + b - 4*b = 285. Let c = -84 - h. Does 20 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10350150 (base 7) in base 5?\nAnswer: 211323203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from dddmdmmdddmmdmmddmdm?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 16 = 4*g, -3*h - 5*g - 17 = -4*h. Suppose 2*i + h*p = 8, -2*p - 3 = -4*i + 1. Let -z**2 + 2*z - i*z**3 + 3\/2*z**4 - 1\/2 = 0. Calculate z.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 12:30 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-429)\/(-165))\/(9\/(-45)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 22. Let q be 1*32\/20 - (-9)\/f. Solve -5*b = -w + 3*w - q, b = -2*w + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-28)*(42140\/40)\/43 - 9?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**2*s**4 - 42*k**2*s**2 - 139*k**2*s + 2*s wrt s.\nAnswer: -12*k**2*s**2 - 84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 622, 2496, 5618, 9988, 15606, 22472, 30586?\n\"Answer: 624*u**2 + 2*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2 + 26*q - 33. Give y(-10).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/(-2 + -1)*1. Suppose 0*u + 2*u + 13 = -5*r, 25 = -5*u - a*r. Is 216 + ((-4)\/u - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**7\/35 - 175*t**4\/12 - 623*t**3\/6 + 514*t**2. Differentiate c(w) wrt w.\nAnswer: 24*w**3 - 350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-7) - (-5)\/7. Suppose 5*d - 5 = 55. List the prime factors of 0\/r - d\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -756959 and 4.06862.\nAnswer: -756954.93138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9*-1*1\/11. Let f = g + 67\/55. Let v = 30.1 + -30. Which is the second smallest value? (a) 0 (b) f (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 5*q - 17 = -10*q, -149 = 3*n + 91*q - 592 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 265832704?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/225)\/(2\/(-20)))\/((-740)\/44955)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 187, 282, 377?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y = -13*y - 12915. Suppose -2897 = -5*u + u + c, 2*u - 5*c = y. List the prime factors of u.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 5*z + 10 - 27 = 0, -39*i + 88*z = 170*z - 87*z + 97 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1058?\nAnswer: -5\/1058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 555\/185*(-3)\/(9\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 4:36 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19583\/110 - 909\/5. Let c = -107173\/174 - 313\/58. Let u = 1229\/2 + c. What is the common denominator of u and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11110011001101 (base 2) to base 7\nAnswer: -63244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -279546, -559089, -838630, -1118169, -1397706?\n\"Answer: l**2 - 279546*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 c when three letters picked without replacement from rccrcffffcrfn?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97\/12 + -33\/4. Put 1, u, 0.1 in ascending order.\nAnswer: u, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 52649655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55911 a multiple of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.838 and -18.742.\nAnswer: -15.705796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 8*r - 20. Let c = -31 + 39. What is the tens digit of k(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8896)\/(-20) + 2 + 3\/15. Differentiate -220*i + 1 + q*i + 15*i**3 - 227*i wrt i.\nAnswer: 45*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n**2 - 6. Let a(c) = 472*c - 2845. Let j be a(6). Let i(y) = -13*y**2 + 13. What is j*u(x) - 6*i(x)?\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7146021 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7527, 2, -168, 1 in increasing order.\nAnswer: -7527, -168, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.315 + -72.585. Let i = m + 74. Put 3, 7, i, -0.7 in descending order.\nAnswer: 7, 3, i, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12967, -107427, -363821, -863119, -1686291, -2914307, -4628137, -6908751?\nAnswer: -9837119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q + 2*o = -6596, 2*o - 10972 = -5*q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (207\/(-27))\/((-3)\/9). Let t(r) = -q + 7 + 11 + 2*r. Let u = -318 + 323. Calculate t(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 + (-262)\/(-9) - (-3532)\/(-3276))\/((-18)\/(-14))?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 127428249?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.550854ml in litres?\nAnswer: 0.002550854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 0. Are 12 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12000 divided by 2400\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40242869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*q**4 - 45*q**3 + 1328*q**2 - 2*q wrt q.\nAnswer: -1512*q - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -10 + 7 - 4*g + 40 + 3*g. Let q be f(20). Solve x + q = 3*u + 2*x, -x + 22 = 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -2 - -4 - (-4 - -17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9150 and -0.4.\nAnswer: -9150.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 187 - -3497?\nAnswer: 3662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1196.5 - -1196.9. What is the closest to -1\/4 in -8, i, -83?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 + -26. Let o = x - 49. Which is the third biggest value? (a) -4 (b) o (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 4 - 4)*(0 + 0 + g**3) + 12353 + 3*g**2 + 8*g**4 - 12351 + 2*g**2 in the form w + h*g**2 + j*g**3 + m*g + l*g**4 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: -1333000321 (base 4) to base 3\nAnswer: -222102122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.5, -3.5, 2, 4, -151?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(((-1)\/3)\/((-43)\/(-129)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 5 (c) -770343\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + sqrt(112) + -1))**2.\nAnswer: -640*sqrt(7) + 2192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-4)*3\/(-2). Suppose -2*r - k*r + 20 = 0. Calculate the least common multiple of 5 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 5 - 4, 5*r + 2*s - 19 = 0. Let t = r - -1. Solve -t*d + 10 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*i - 54*i. Suppose 1 = -u, c + 5*u = -i*u + 410. Suppose 5*b - c = -0*b. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 0.11, -5964, 59?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8*(-12)\/(-128))\/3)\/(1\/(-260))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l + 31. Give z(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -317971, -318048, -318235, -318586, -319155, -319996, -321163?\n\"Answer: -9*k**3 - k**2 - 11*k - 317950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 155754 divided by -9\nAnswer: -17306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -254513 + -82?\nAnswer: -254595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413*h - 14022 = 1115*h - 790*h for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 7\/12678?\nAnswer: 7\/12678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 32*l**2 - 1 - 41*l**2 + 1. Let b(i) = -4*i**2. Calculate b(x(f)).\nAnswer: -324*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -10*d**3 - 2*d**2 - 2*d - 1. Suppose -m + 3*b - 1 = 0, 4*m + b - 2 = -6. Determine o(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 4 + 0)*(619*k**2 + 294*k**2 - 198*k**2)*(3*k + 2 - 2) in the form x*k**2 + c*k + r*k**3 + z and give r.\nAnswer: 21450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.9? (a) 2 (b) 0.1 (c) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7196 a factor of 394582358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/(-14))\/(16\/(-24)))\/(7\/(-49)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -253369, -253408, -253517, -253732, -254089?\nAnswer: -254624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.02415 times 2.4?\nAnswer: 2.45796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 7, 0, -5.\nAnswer: -5, -2, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 640, 639, 640, 643, 648?\n\"Answer: r**2 - 4*r + 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -5. Let a be (18\/27)\/(y\/66). Calculate the highest common divisor of 242 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1679 + 1683. Suppose -4*r - r + 5*j + 45 = 0, -2*r + j = -13. Suppose -2*h + 0*h = 0. Solve h = -0*c - y*c - r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64590, 129163, 193736, 258309, 322882, 387455?\nAnswer: 452028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -923*i + 918*i + 45 = 0. What is the second derivative of -245*k**3 + 58*k + 79*k**3 + 2*k**2 + 7*k**2 - i*k**2 wrt k?\nAnswer: -996*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2529191.8 to the nearest 1000.\nAnswer: 2529000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -6 + 66. Suppose 17*q - 21*q + y = 0. Solve q*i = s + i + 5, -4*s + 3*i = -5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17752 is divided by 55.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 968 is divided by 81?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3443 - -4636. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from {p: 1, s: 7}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 68*o**3 + 14*o**3 - 44*o**3 + (-2*o + 4*o + o)*(o**2 - o + 2*o**2 - 2*o**2).\nAnswer: 41*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 924783263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2101*d - 3748*d - 134*d - 226422 = 3610*d for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-3) - (1 - 4). What is the second derivative of 7*n**5 + 4*n + c*n**5 - 5*n**5 wrt n?\nAnswer: 160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*r - 59, 4*x - 2*r - 11 = 3*x. Suppose 9*w + 3 = x. What is the third derivative of -64*t - 3*t**2 - 11*t**w + 18*t**6 + 64*t wrt t?\nAnswer: 2160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6687210 by 1337442.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czzw when four letters picked without replacement from {c: 4, w: 4, d: 1, u: 1, x: 3, z: 4}.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 9*d**2 - 6*d - 7. Let z(f) = -9*f**2 + 5*f + 6. What is -6*s(o) - 7*z(o)?\nAnswer: 9*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2, 3*y + 3*t = 2 + 34. Let p(q) = -q + 9. Let r be p(0). What is the remainder when (-6)\/4*(-240)\/r is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/238290 and 61\/83425.\nAnswer: 84592950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 550.5954mg?\nAnswer: 0.0005505954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j*j\/j**(2\/9)*j*j)*j**(-7)\/j)\/(j*j**4)**(-40) assuming j is positive.\nAnswer: j**(1694\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/2*r**4 + 45\/2*r**3 + 50*r + 60*r**2 + 0 = 0. What is r?\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y + 3. Let u be r(-3). Suppose -19*d - 9*d = -28. Sort u, 4, d.\nAnswer: u, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213909 is divided by 699.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - o = 168, 5*t + 4*o + 339 - 66 = 0. Let d = -48 - t. Suppose 0 = -13*w + d*w + 260. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 893*x**2\/2 - 139*x + 77. Let f be m(-7). Round f to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51313 plus 1?\nAnswer: 51314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 99234337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2194319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/22 and 70\/(-15)*6\/(-64).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 419 or 10804?\nAnswer: 419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (2 - -3 - 11) - (12 - 7).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 8*u + 2*u - 13, 114 = -22*l + 61*l - 2*u + 303 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2416 = -3430*g + 3429*g. List the prime factors of g.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 8 + -22 + 21.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17076223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.65226 - 0.3?\nAnswer: 0.35226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 268.277 + -269. Round v to 2 decimal places.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -109*g**2 + 5*g + 6. Let f(y) = -y - 1. Let j(a) = -6*f(a) - u(a). Let z be j(-1). Calculate the greatest common divisor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 154\/20 + -2 + 8\/(-40). Suppose 9 = q - 2*w, 3*w + 2 = -q - 4. Suppose -5*x + 31 = q*g, 18 - 5 = g + 3*x. Is g greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 0.2 (b) 13 (c) 0.6 (d) 1\/17 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 20924627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4402579*x**3 + 2785777?\nAnswer: -13207737*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2*-4 - (-5 - 105\/119). Sort -4, -0.2, -6\/5, r in ascending order.\nAnswer: -4, -6\/5, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -163 + 491\/3. Let m be 5\/(-2)*8\/(-30). Suppose 0 + m*q**3 - 4\/3*q - t*q**2 = 0. Calculate q.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 34*i**2. Let j(t) = -t + 2228. Calculate l(j(b)).\nAnswer: 34*b**2 - 151504*b + 168775456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26861 is divided by 6351.\nAnswer: 1457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2414405 and 1034745.\nAnswer: 7243215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/3*(-1 + 31)\/1. Let n be (9\/(-4))\/((390\/b)\/(-13)). Solve d - 5*d + 9 = r, 3 = n*d + 2*r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*3 + sqrt(448))**2*-1 + 5 + (3*(sqrt(448) + 0) - sqrt(448)) + -1.\nAnswer: -7164 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 145 = 215. Calculate the highest common divisor of m and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by -29.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w - 88. Let l be (-10 + 17\/3)*(-2 + -1). Let k be t(l). Let s(j) = -j**2 + 4*j - 3. Calculate s(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145351?\nAnswer: 191, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 26, -4, -16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0557 - 1.9443. Suppose 6 = -2*f + 10. Suppose f*x = 4*x. Which is the third smallest value? (a) x (b) p (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65086834, 130173668, 195260502, 260347336?\nAnswer: 325434170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 + (-2 - 1) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 329*k**2 + 293*k**2 - 617*k**2 - 7*k.\nAnswer: 5*k**2 - 7*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 29*h**2 - 13*h - 165. What is w(-3)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 215?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3158557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-296)\/(-185)*25\/120*48?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 18*x**2 + 36*x - 55. What is a(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**3 + 70*m**2 + 10. Let l(v) = -4*v**3 - 165*v**2 - 21. Give 3*l(f) + 7*q(f).\nAnswer: 9*f**3 - 5*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1060 - 130 = -155*t - 1705 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 3*x + 27. Calculate h(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279270 + 279270 - 3*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 - -55. Suppose m + i*z + 20 = -3*m, m + z = -5. Sort -1, 0, -26, m in decreasing order.\nAnswer: 0, -1, m, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -152*t - 11. Suppose d = 3*g, 5*g + 1 = -5*d - 19. Is v(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*l = 45*l + 16. Solve k + k + l*q = -18, 5*k + 5 = 5*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*l + 218, 4*l + l = -10. Suppose -6*o + t = 8*o. What is the lowest common multiple of 20 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 192*g - 196*g + o, -g - 3*o = -10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from aonnoovvavoooaovv?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-4 - (-1 - (3 + 1)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, 5, -0.1, 0.5.\nAnswer: -0.1, 0.5, 1.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 39?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 375, 3381, 11623, 27717, 54279, 93925?\n\"Answer: 436*g**3 + 2*g**2 - 52*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1239\/30)\/7 - 272\/680?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 82 = 98. What is the remainder when 27\/l + 6\/24 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3\/10, -2\/7, -0.049 in descending order.\nAnswer: 4, 3\/10, -0.049, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2\/9, 4, 2\/39.\nAnswer: -11, -2\/9, 2\/39, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-20)*4\/10. Let z = -4 + 6. Which is the nearest to z? (a) -2 (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -100390 or -100389?\nAnswer: -100389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 5)*(-2 + 4 + 0) + 1 - 1 + 1)*(-1028*s - 1161*s + 2167*s - 1226*s).\nAnswer: -8736*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**3 - 13*i**2 - 7*i + 7. Let y(d) = d**3 + 4*d**2 + 2*d - 2. What is 4*p(o) + 14*y(o)?\nAnswer: 2*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(95)*-6 + sqrt(95) - (1*sqrt(95)*-5 + sqrt(95)))\/(-4*(-1*sqrt(15)\/sqrt(3) - sqrt(5))*-2) + -5.\nAnswer: -23*sqrt(19)\/16 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2.961 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -11. Let a be ((-3)\/(-1))\/(-3) - -6. Solve 4 = -l*d + a*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 6:44 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/15)\/9*(-55)\/(-2)*-2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**6\/960 + d**5\/160 - d**4\/32 - d**3\/6 - 27*d**2 - 154*d. Let r(o) be the first derivative of a(o). Solve r(j) = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1187*m - 84276. What is k(-71)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o + 2. Let q be z(4). Suppose -3*k - 1 = -4, -57 = -3*v - 3*k. Let t = v + q. What is the closest to -0.2 in -2, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12 - 6)\/12)\/(28\/24 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*t + 1 - 15*t + 12*t as c*t + r and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55746 = -17*h - 55916 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101955.8583 + -64.\nAnswer: -102019.8583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104404 - 46505 = 5977*t - 58860 - 140252 for t.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 6. Let k be c\/4 + 1863\/(-18). What is the remainder when k\/(-4) - 5\/10 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 258*d**2 - 13242*d + 6523. Give t(-187).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**4\/12 + 4*t**3\/3 = 0.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggyoogoggoggo. Give prob of sequence yogo.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -535, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 - 4*q - 14. Let c(f) = -2*f**2 + f + 6. Let m(x) = -5*c(x) - 2*v(x). Let b(a) = 9*a**2 + 6*a - 5. What is 2*b(p) - 5*m(p)?\nAnswer: -2*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611 is divided by 63?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s - 2. Let k be j(-4). Let u be (8\/(-5))\/((-6)\/45). Solve 0 = 4*g - u, 0 = d + 3*g - 3 - k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w = 0. Suppose 18 = -4*a - 2*n, -a + w*a - 2*n - 6 = 0. Let z = -211 - -206. Which is bigger: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = g - 2*y - 7, y = g - 5. Suppose -c = -8 - g. Calculate the remainder when 27 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139942 is divided by 279.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -15*a + 16. Let o(q) = 0*q - 4*q - 16 + 12*q + 6*q. Let k(s) = -5*o(s) - 4*v(s). What is the derivative of k(b) wrt b?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2953804150 rounded to the nearest 1000000?\nAnswer: -2954000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*w - 110*w + 10 + 42*w - 22 + 21*w + 1.\nAnswer: 2*w - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 272*p - 559. What is j(2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/18)\/(28\/42)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from qwwqvwvqqwvqqqqq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a = -4*j + 20, 24 = 2*j - 4*a. Let x be 1\/(-1 - -3)*j. Solve -x*y = 2 + 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -198, -1\/2, 76186 in increasing order.\nAnswer: -198, -1\/2, 76186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 180\/46 + 2 - 146\/(-1679)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2*r = 4*r - 3, 3*p + 2*r = 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.4 - -9. Which is the nearest to -1\/4? (a) f (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from vgl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 102 = 2*g, 5*g - v - 370 = -141. What is the highest common factor of g and 9300?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**2 + n - 3. Let g(c) = c + 1. Let b(z) = -2*g(z) - j(z). Let o be b(3). Let h = o - 15. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/7065 and -1\/36.\nAnswer: 28260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 38\/7, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f = 2. Suppose -5*j = 3*v - 28, v = j - 4*v. What is the tens digit of (-160)\/(-50)*f*j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 17 - 47 = -4*c, -2*p + 32 = 3*c. Let z = -35 + 105. Let j = z + 10. What is the highest common factor of p and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*k = 2*l - 90*k + 6, -4*l + 5*k = 12. Sort l, 7, -2 in descending order.\nAnswer: 7, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 5*y - 19. Let s be p(8). Solve -15 = s*m + 5*n - 0*n, 2*m + n + 6 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {z: 1, a: 7, e: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/6)*c)\/(c\/c**(-1\/3)))**(-39)\/(c*(c*(c\/c**1)\/c*c)\/c*c*c\/c**0)**40 assuming c is positive.\nAnswer: c**(-305\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((2 - 5) + 1) - (-1 - -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = q. Let f = 0 - -1. What is the units digit of (q - f) + 1 - -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60 * -156.\nAnswer: -9360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1375976 millilitres?\nAnswer: 0.0001375976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3 - 9 = 0. Which is the nearest to z? (a) -1 (b) 4 (c) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*d - 2 - 5, 4*d + 3*z + 6 = 0. Let u(k) = 6*k + 18. Let y be u(d). Solve y = -16*l + 14*l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/35 - (-216)\/21. Suppose 6*r = r + u. Let 25\/4*o**r - 1 - 25\/2*o**3 + 2*o = 0. Calculate o.\nAnswer: -2\/5, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1192 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -1507*o**3\/3 - 9*o**2 + 2*o + 5721. What is the second derivative of i(a) wrt a?\nAnswer: -3014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-1 - (5 + -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8 = 4. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*252\/(-27)*(-11)\/((-10395)\/18).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 72 + s - 21*s**2.\nAnswer: -21*s**2 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4\/4 - 3*s**3\/2 - 2*s**2 = 0?\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7636, -97, 2, -4, 34 in decreasing order.\nAnswer: 7636, 34, 2, -4, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3600 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 - 1. Let g = 372689\/7 + -53401. Let j = -160 - g. What is the closest to y in -5, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-2)*(2\/(-4))\/(330\/(-2376))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.57325 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, y: 1, u: 4, h: 1, k: 3, w: 3}. What is prob of sequence hk?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41232 is divided by 10304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 1)*(9*v**2 + 76 - 76)*(-v - 4*v - 2*v).\nAnswer: 189*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 847?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - y + 0*y = 0, 2*z = -y. Suppose 0 = s + 4*s. Suppose s*c - 4*c + 28 = z. What is the greatest common divisor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -868 = -3*m + 395. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 1025043435?\nAnswer: -1025043440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43.05016 and -0.3.\nAnswer: -12.915048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 2, 3, -200\/27 in decreasing order.\nAnswer: 3, 2, 1\/3, -200\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86793*g**2 - 1 - 2 + 6 + 43399*g**2 - 4 + 43391*g**2.\nAnswer: -3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**3\/12 - 995*x**2\/4 - 990025*x\/4 - 2644. Solve q(p) = 0 for p.\nAnswer: -995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14167803 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5143 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.14 - 11.74. Let d = l + 11. Let g = 0.3 + -0.4. Which is the closest to 2? (a) 2 (b) d (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -28. Let u = 5 - p. Let x = 6 - 1. Put u, -5, x in decreasing order.\nAnswer: x, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(4\/3)*m))**(-2)\/(m**(4\/5)\/m**8))**(-3\/46) assuming m is positive.\nAnswer: m**(-74\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**4 - 438614*l**3 - 24048438036*l**2 - 72142243840*l - 48094244416 = 0?\nAnswer: -109652, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -343 - -413. What is the least common multiple of 70 and m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.36 - 69.64. Let k = m + 67.3. Let o = 3.7119 + k. Round o to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64901093713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1291 divided by -2577\nAnswer: 1291\/2577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56.78 - 56.98. Let o be 2 - 3 - (-5 - -2). What is the third smallest value in s, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/28 and 35\/990376.\nAnswer: 6932632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*m + 5636 = -48400. What are the prime factors of m?\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -93487315 to the nearest 10000.\nAnswer: -93490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**2\/3 + 12023*y = 0.\nAnswer: -36069, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.588167 centuries in millennia?\nAnswer: 0.7588167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 10*m**3 - m**2 - 21*m. Suppose 354 = 308*j + 171 - 433. Let z(y) = -3*y**3 + 7*y. Give j*w(r) + 7*z(r).\nAnswer: -r**3 - 2*r**2 + 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.29177 and 0.\nAnswer: 0.29177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19593 * -0.08.\nAnswer: 1567.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/609 and 61\/1218?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22210 - 221212?\nAnswer: -122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2867731 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -69*h**3 - h**2 + 5*h + 5. Let p be (5\/(-10))\/((-3)\/(-12)). Is y(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 9*h - 25 = 0. Let v be 490\/(-126) + (-1 - 2\/(-3)). Which is greater: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -7. Let t be 0\/2 + (s - 2). Suppose t*v = 6*v. Solve 3*j - 5*d + 20 = 0, d + v = 3*j + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-153)\/(-27))\/((-313)\/939)*(-4)\/14.\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 0 (b) 23298 (c) 2\/11 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/22066 and 143\/377298?\nAnswer: 244866402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7699, 7645, 7505, 7237, 6799?\nAnswer: 6149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10\/3, 79, 0.4, -17 in increasing order.\nAnswer: -17, -10\/3, 0.4, 5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 7*w + 6. Let o = 30 - 35. Give b(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002737609.\nAnswer: 1002737609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 3 + (-7 - -16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + 87. Suppose -4*m + 39 = u, -4*m + 30 = -m + u. Suppose -m*z = -10*z + 11. Calculate the greatest common factor of d and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 60159968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1704 + -1694. What is the remainder when 516 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 4*j + 6*j - 8, 0 = -5*r + j + 8. Suppose 0*q = r*v - 3*q - 12, 4*v + 5*q + 20 = 0. Which is smaller: -5\/8 or v?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -3. Let v = p - 0. Sort -2\/9, v, -0.3 in increasing order.\nAnswer: v, -0.3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -33d - -c6?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 divided by 2?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -134*h**3 - 6*h**2 - 6*h - 93. Let n(i) = -1875*i**3 - 85*i**2 - 85*i - 1300. Let v(l) = 6*n(l) - 85*r(l). Differentiate v(w) with respect to w.\nAnswer: 420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**4\/4 + 5*v**3\/3 + v**2 - 2*v - 3. Calculate the smallest common multiple of 4 and k(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21ce1b (base 16) to base 10.\nAnswer: -2215451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1544 is divided by 150.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -96 + 55. Let v = n + 59. Let h be (-163)\/(-3) + 3\/(-9). What is the greatest common factor of v and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(396) + 0))**2 - (sqrt(396) - ((sqrt(396)*-1)**2 + sqrt(396) + sqrt(396) + 0) - (sqrt(396)*1 + 0)).\nAnswer: 60*sqrt(11) + 1984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -253*d**5\/30 - 451*d**4\/24 - d**3\/6 - 1273*d**2. Find the second derivative of b(v) wrt v.\nAnswer: -1012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231734149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -229.9 in -3, -12, 2\/9, 1\/5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 127 = 72 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80\/223, 4, 5, -3, 0.1 in decreasing order.\nAnswer: 5, 4, 80\/223, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 172242 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 7*c**2 + 7*c + 16. Let b(h) = 2*h**2 - 2*h - 5. Determine 7*b(n) + 2*p(n).\nAnswer: -2*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 248516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13\/160 + -4361\/480. Calculate the common denominator of -53\/3 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -852*c + 3410. Let m be p(4). Suppose 0 - 2\/13*o**m + 4\/13*o = 0. What is o?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1598 and 893?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 17 = -5*i, 34 = 5*v + 4*i + 3. Factor 4 - 10*g + 2*g**2 + v*g + g.\nAnswer: 2*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010000000000011000 - 10010?\nAnswer: -11010000000000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 526922251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + c + 10. List the prime factors of i(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -192 - -204. What is the greatest common divisor of b and 240?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240718.\nAnswer: 2, 23, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r\/((r**(-2\/5)*r)\/r))))\/r)**(-48))**(-1\/37)*((r*r**(-1\/3)*r)\/(r*(r\/r**(1\/4))\/r))**(-28\/5) assuming r is positive.\nAnswer: r**(-2561\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (60 - -2) + (0 - 7). What is the common denominator of 5\/2*(0 + (-11)\/t) and -87\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -421603, -422408, -423213?\n\"Answer: -805*i - 420798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2025987, -4051983, -6077979?\n\"Answer: -2025996*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 1:08 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 - 585\/11. Let t = 1.1 - 0.1. Which is bigger: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 350*m - 10*m**2 - 5*m**2 + 10*m**3 - 350*m in the form r*m**3 + b*m + y + l*m**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1023 + -1024.39. Which is the biggest value? (a) 3\/4 (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -0.66, 0.3, 1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/99)\/((-1)\/42) + 50\/5 + 59.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 n when three letters picked without replacement from {o: 3, n: 3, d: 6, m: 3}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12126 + -22244?\nAnswer: -10115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 190028.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.8 + -9. Is -2\/3 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1578*s - 654.\nAnswer: 1578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190542840.\nAnswer: 2, 3, 5, 359, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3160.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 157 + -145. What is the greatest common divisor of 492 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 5:26 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x + 4 + 11 - 14. Determine a(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/11, -6, -13, 2\/15?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1498, 1354, 1142, 820, 346, -322, -1226, -2408?\nAnswer: -3910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 639694951 to the nearest integer?\nAnswer: 25292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21197155?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -179 - (0 + 4) - 7. Suppose 5*i + 4*y = -672, -2*i - 267 = 2*y - y. Let z = i - j. Calculate the remainder when z is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4338035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 6*j + 2*j)*(-3 - 9 - 1)*(3*j + 2*j**3 - 3*j) to s*j + b*j**4 + x*j**3 + i*j**2 + f and give b.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-10)\/(-5))\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -401.886146 and 0.2.\nAnswer: -80.3772292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16152*b - 10*x = -16154*b + 74, -24 = 3*x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-6))\/(((-126)\/(-7))\/36)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 11. Let b = -2.4 + 2. What is the third smallest value in 5, b, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g = 16*g - 180 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3055.810993 rounded to the nearest integer?\nAnswer: 3056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-6)\/18) + -1. Let d(z) = 209*z - 121. Let u(b) = 7*b - 4. Give s*d(c) + 121*u(c).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 12) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z**2 + 234*z + 7. Let d be c(39). Solve 0 = 84*y - 77*y + d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 838.7383 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 18 = -5*l, 3*l - f - 8 = -22. Let y(k) be the third derivative of k**5\/60 + k**4\/4 + 7*k**3\/6 - k**2. What are the prime factors of y(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-22))\/(-3)*2\/3.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 955, 5, -41\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*z = 605*z - 17366 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 2*f + 25. Let h be g(0). Let b = h + -11. Suppose 2*d - b - 118 = 0. What is the remainder when d is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 0)*144\/(-1536). Suppose 4*f = -0*f + o + 16, -4*f - 3*o = 0. Which is the third biggest value? (a) x (b) 30 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3433885.\nAnswer: 5, 7, 13, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) -35 (c) 3 (d) -2\/5493 (e) 1.2 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -35. Let z be (-1)\/((-2)\/3)*10. Suppose 0 = -2*i - 0*i + 4*g + 8, 0 = 5*i - 3*g + z. Is y smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 11728*l + 11728*l + 66*l**3 - 1 - 1 + 32*l**3.\nAnswer: 98*l**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 s, and 1 l when four letters picked without replacement from {t: 1, j: 1, l: 5, s: 1, y: 4, m: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 0 - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/16)\/((-93)\/(-248))*18\/(-2).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m**2 - 4*m**2 + 4*m**2 + (-4*m**2 + 5*m**2 + m**2)*(-2 - 3 + 4))*(5*m + 8*m - 55*m).\nAnswer: 336*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 13 - (7 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17208 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*q**5\/7 - 2*q**4 + 48*q**3\/7 + 24*q**2\/7 - 32*q\/7 = 0. What is q?\nAnswer: -4, -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147 - 146.9882. Let f = i - 0.0117837. Round f to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3662.2 + 3662. Which is the nearest to 484? (a) 1\/3 (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 37*b - 7*b - b**2 - 14*b + 32. Let t be u(19). Let a = t - -56. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 28 = -248. Let c be -2 + (-16)\/j*(-5)\/(-2). Solve c = -8*d - 7 - 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 2278124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3003, -5970, -8917, -11850, -14775, -17698?\nAnswer: -20625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 6622276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = -2*r. Is 46\/(-4)*36\/r a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/7)*(i**(-10)\/i)\/i*((((i**(-1)*i)\/i)\/i)\/i)**22 assuming i is positive.\nAnswer: i**(-547\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7437953 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -8. Suppose 3*v = -2*w - 8 - 3, t*v - 13 = 4*w. Let m = 20\/9 - 133\/72. Is m at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 - k + 9 - 2 - 6*k wrt k.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371308*w = 371839*w + 35577 for w.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l**2 - 2*l**3 - 27 + 2*l**2 - 17*l - 5*l**2 + 2*l**2. Is m(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 19*p + 6 = -17*p, -5*p = 2*a - 22 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 126 or -2473314?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -10*k**2 - 17*k. Let x(b) = 6607*b**2. Calculate l(x(t)).\nAnswer: -436524490*t**4 - 112319*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1280532133\/849348 + -698\/23593. Let h be (0 - -1507) + 2\/1. Let w = s + h. Calculate the common denominator of 107\/18 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1057 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m**2 + 12*m - 36. Let h(x) be the first derivative of -x**3\/3 + x**2\/2 - 3*x + 131. Let g(t) = c(t) - 12*h(t). Find p such that g(p) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-2*s**5 + 0*s + 0*s) + 3*s**4 - 2*s**5 - 3*s**4 + 3*s**5 - 6*s**5 + 2*s**5 + (-5*s**3 + 3*s**3 + s**3)*(3 - 3 + 2*s**2) - 5 + 5 + 4*s**5.\nAnswer: -5*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 17 = 23. Suppose -n = 4*i - 168, -41*n + 42*n = -5*i + 170. Calculate the highest common factor of n and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 172*v**6 + 71*v**2 wrt v?\nAnswer: 20640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 69, -0.3, -1, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/2)\/(27\/(-2592)) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 37.062. Let w = 0.532 - x. Round w to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20320346?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of (6\/((-36)\/405*-10))\/(1\/1652)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 482 = 4*a - 598. Let i = a - 147. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + (-11 - (-6 + -16) - 20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21513 < 21514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1089*k + 195363 - 195363.\nAnswer: 1089*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 3 (c) 2.4002\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*1*1 - sqrt(50)\/(-2*sqrt(10)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1088)\/(-192) - 1\/(-3). Which is smaller: 44\/7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -6*r - 9. Suppose 1299 = c + r*c. Suppose -5*o + c = 3*s + 24, -71 = -o + 3*s. Does 22 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5, 4*i - 2*o = -4*o + 342682. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8963 - 45.890205574?\nAnswer: -9008.890205574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48548*i**3*z + 47*i**3 - 26*i**2*z + i**2 + 48*i*z - 3*i - 2*z wrt i?\nAnswer: -291288*z + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39.97 + 42.97. Which is the closest to v? (a) -1\/3 (b) -2 (c) 0.3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -201.04127 + 183.941189. Let b = -16.755 - 0.345. Let p = b - s. Round p to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**2 - 2*t - 10. Let d(y) = -y + 462 - 462. Let m be -1 + 4\/12 + (-3)\/9. What is m*i(w) + d(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3107791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-10) - (-3 - 11\/2). Let y(o) = 9*o + 4. Let w(a) = -18*a - 9. What is g*y(c) + 4*w(c)?\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 17*p + 36. Calculate the remainder when (-258)\/p + -8 - (-2)\/4 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/9)\/(v**(-3\/8)\/v))**(2\/7) assuming v is positive.\nAnswer: v**(115\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 28*f**2 - 77*f + 80. What is z(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14658759 and 1002?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.044 - 848.\nAnswer: -847.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (303\/24 + -8 - 5)*126\/(-27).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c + 129 - 129)*(-32*c + 548 - 548).\nAnswer: -320*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 41 = -5*i, 2*u = -5*i + 26 + 13. Let t(w) = -w**3 + 6*w**2 + 9*w + 7. Let g be t(i). What is the derivative of 5*y**3 + 21*y - 10 - g*y wrt y?\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 = -0*k - 4*d, k - 3 = d. Suppose 2*v = 5*s + 25, -4*v = -0*s + k*s + 10. Solve 3*n - 12 = v, -f + n = 6*n - 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (0 + sqrt(320))**2) + (sqrt(5) - (sqrt(20)*-1)**2) - ((sqrt(720)*1 + -1)**2 + sqrt(720)).\nAnswer: -1061 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 q, and 1 n when three letters picked without replacement from {x: 1, i: 5, q: 1, z: 1, o: 5, n: 7}?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 0*i - 42. Calculate the greatest common divisor of 35 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -1\/6, 2\/13, 0, 761?\nAnswer: 761","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -11*x**2 + 16*x + 16. Let u(d) = -10*d**2 + 15*d + 15. Let i(q) = 6*r(q) - 7*u(q). Let j(g) = 2*g**2 - 4*g - 4. Determine -4*i(l) + 9*j(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(3 + 128\/(-42)). Let r be 70\/l - 1\/3. Suppose r - 23 = -5*j. Solve -5*y = -n + 18, n - j*y - 9 = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3) + (-40)\/114. Let d be (-80)\/12*(-32)\/2280. Let z = j - d. Which is smaller: 5\/2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -124954?\nAnswer: -124952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46768 = -10053*c - 2286 - 71582 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/2064222 and 23\/33?\nAnswer: 22706442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k - 12 = 10*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 + 0.9. Let p be (-221)\/340 + (-2)\/(-5). What is the third smallest value in -4, p, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 616487910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -324*v**3 - 74*v**2 - 4*v - 107 + 193*v**3 + 74*v**2 - 519*v**3 wrt v.\nAnswer: -3900*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11765 at most as big as 11757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*r**4 - 79*r - 1865*r**2 + 20*r + 2005*r**2 - r**5 + 3*r**3 - 137*r.\nAnswer: -r*(r - 2)**2*(r + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-52)\/20 - 84\/(-15). Calculate the greatest common divisor of m and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(144)*4)\/(((1*sqrt(1728) - sqrt(1728) - sqrt(1728)) + sqrt(1728) - sqrt(1728))*5).\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + g + 14, -4*l = -2*l + g. Put 3, 1\/12, -2, -1\/10, l in descending order.\nAnswer: 3, l, 1\/12, -1\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/120)\/((-15)\/10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*j - 15, -r + 3*j + 12 = 7*j. Suppose r = -4*o - 10 + 46. Let t be (0\/(-1) - 0)*o\/(-18). Solve 4*q = -5*d + d, t = -4*q - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3994*u = -3987*u + 455 for u.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1409733\/(-26)*-2*(-1)\/(-3). Is (n\/(-6))\/((-3)\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -235*d**4 - 78*d wrt d?\nAnswer: -2820*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -471, 232, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*a**2 + 65*a**2 - 28*a**2.\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)*c)\/(c**(-2\/5)*c*c))\/(((c\/(c**6\/c*c))\/c*c*c)\/(c\/(c*c**(-1)*c)))*(c**2)**(-1\/6)*c**8*(c\/c**(1\/3))\/c assuming c is positive.\nAnswer: c**(146\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2807903717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v - 2*v. Suppose v*c = -c + 24. Let o be (153\/2)\/9 - (-3)\/(-6). What is the greatest common factor of o and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.46153 + -98\nAnswer: -81.53847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6142, -24538, -55190, -98092, -153238, -220622, -300238, -392080?\nAnswer: -496142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10143 + -10050. What is the greatest common divisor of 992 and g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18971830 is divided by 3681?\nAnswer: 3637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7062 - 4383. Let r be c\/513 - 4\/18. Put -1, r, 2, -3 in increasing order.\nAnswer: -3, -1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/8*(-166 + 182)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**2\/3 + 275*p\/3 = 0.\nAnswer: -55, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53985 - 54116.9496. Let i = c + 105.94962. Let r = 26 + i. Round r to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 9 = 3*p, 5*p = -5*c - 14 - 1. Let t be 5 - 9\/((-9)\/(-4)). Which is smaller: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 4.8. Let n = 21 - 20.5. Which is the closest to j? (a) n (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/3*(-8)\/(-24)*45\/10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - j**3 + 3*j**3)*(0*j + 3*j - 2*j + (-7 + 8 - 20)*(2 + j - 2)).\nAnswer: -36*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o + 3 = 0, 4*g - 110 = -2*o. What are the prime factors of g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 658, 4771, 15938, 37687, 73546, 127043, 201706?\n\"Answer: 588*q**3 - q**2 + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 4696861 and 4696861 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, 812, -23 in increasing order.\nAnswer: -52, -23, 812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4\/3, -24 in ascending order.\nAnswer: -24, -4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -72*j**2 - 6*j - 10. Let s be k(-3). Let q = s - -1193. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35970 = -2269*b + 1615*b for b.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 87*b - 3697. Let h(t) = 32*t - 1232. Calculate 4*f(q) - 11*h(q).\nAnswer: -4*q - 1236","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 951, 925, 881, 819, 739, 641, 525?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 610 or 6714\/11?\nAnswer: 610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89908 and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 395118622?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*y - 10*y. Factor 9*v**3 - 9*v**y + 22*v - 2*v**3 - 8*v**2 - 12.\nAnswer: -2*(v - 1)**2*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 31 + 0*w + 7\/2*w**2 - 7\/3*w**3. Let f(c) = 12*c**2 - 13*c. Let d(j) = -6*f(j) - 10*s(j). Let d(p) = 0. What is p?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 17. Let h = -3.2 + 5. Let d = g + h. What is the smallest value in d, 1\/9, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 47 - 39 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1455 - -2204. Let j = -5241\/7 + g. Factor 8\/7*t**3 + 0*t**2 - j*t**4 - 32\/7*t + 32\/7.\nAnswer: -2*(t - 2)**3*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-79)\/(-401715)*3\/((-18)\/(-2175)) and 101\/30?\nAnswer: 10170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) + (4 + sqrt(1331)*5)**2 + (4*((4*sqrt(1331) - sqrt(1331)) + sqrt(1331)))**2 - ((1*sqrt(1331) + 3 + -5*-2*sqrt(1331))*2)**2.\nAnswer: -270213 - 2453*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p**(-16))\/p)*((p*p\/p**2*p)\/p)\/p)\/((p*p\/p**(6\/7))\/(p\/(p**(-11)\/p))))**(-39) assuming p is positive.\nAnswer: p**(-7605\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314571 = -3571*i + 180568 - 120184 for i.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2. Let n(g) be the third derivative of -37*g**5\/60 - 8*g**2. Give n(x(q)).\nAnswer: -148*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -721710 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1222 - -838. Let s = -235 - j. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134270 + 268522 - 134252 - 14*l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-12)*(-600)\/125?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) 31 (c) 2 (d) -388\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 974 less than or equal to 1028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 - -141. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2001*x**2 - 411*x**2 + 2823*x**2 - 419*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000728 rounded to six decimal places?\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**9\/108 + 2*p**6\/45 - 13*p**3\/3 + 1. Let n(d) be the third derivative of z(d). Find the third derivative of n(g) wrt g.\nAnswer: -1680*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1694*y = -1682*y - 96 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*j**3 - 31*j**2 - 29*j**2 + 60*j**2 + 101*j**3.\nAnswer: 72*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 499 and 508481.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3 - 6) + 3)*(-4)\/24. Suppose -2 + 26 = 3*o. Solve -7*f - k = -o*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = q - 5*d, -6*d + 9 = 3*q - 3*d. Suppose -4*i + q = -3. Let w be 3\/((-3)\/(-7)) + -3. Solve -w*v + 7 = -i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-4)*32\/(-6). Solve 0 = 4*p + 2*g + 12, g = -h*p + p - 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19479145593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -1\/3*b**3 + 1\/2*b**4 + 0 - 3\/10*b**5 + 1\/15*b**6 - 41*b + 0*b**2. Factor a(y).\nAnswer: 2*y*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/10)\/(14\/35). Suppose x = -p, 2*h - 3*x = -2*x + 230. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**9*f**(-3\/2)\/f*f*f*f)\/(((f*f\/(f\/(f\/(f**12\/f))*f)*f)\/f)\/(f**4*f)) assuming f is positive.\nAnswer: f**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -4. Let q(p) = -p**2. Let y(o) = 2*o**2 + 5*o. Let a(d) = -q(d) - y(d). What is the remainder when a(-3) is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_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 im when two letters picked without replacement from {m: 1, u: 1, i: 1, t: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 2*1*88385\/1100 + (-24)\/(-80)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 f when four letters picked without replacement from {f: 6, t: 5, w: 4}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w. Let a(h) be the second derivative of 7*h**4\/24 + 5*h**2 - 16*h. Let g(p) be the first derivative of a(p). Determine s(g(d)).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1131a (base 12) to base 7.\nAnswer: 123550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t = 6*t + 17226. Is 87 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 9 = -d, -d = 3*l - 253 + 241. Suppose 3276 = 3*t - 5*g, 5*t - l*g = 6*t - 1106. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(208))**2 + 2.\nAnswer: 7490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8934933803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 132924802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7592*a**3 + 42*a**2 - 3*a - 18433468 wrt a?\nAnswer: -22776*a**2 + 84*a - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-6)*(-21)\/175. Is k at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-4))\/((-24)\/108*15). Suppose 0 = 2*k + k. Let x = -1 - k. Which is the nearest to x? (a) -2\/3 (b) 1\/4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -113 - 603465?\nAnswer: -603611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 2. Let x(f) = 9*f**3 - 6*f**2 - 2*f - 6. Calculate 3*n(p) - x(p).\nAnswer: -6*p**3 + 6*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.83, 2, -21, -1 in descending order.\nAnswer: 2, 0.83, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47928 - -47984. Let f(y) = 5*y + 0 - 1 + 3. What is the remainder when a is divided by f(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -7. Let j = -155.27 - -155.32. Sort n, 0.1, j in increasing order.\nAnswer: j, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 260008 by 14.\nAnswer: 18572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrm when three letters picked without replacement from mmmmrraaa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 b when two letters picked without replacement from {a: 5, b: 3, e: 4}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 13, m: 5}?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + 101. Let f = -132 + o. Let b be (1 - -9)*(-27)\/(-6). Calculate the highest common factor of b and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-3) + 4 + 201053\/321. Suppose -5*z + 2*d = -247 - 30, -d = -3*z + 167. What is the greatest common factor of z and w?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*o**2 + 507*o + 54 = 0 for o.\nAnswer: -2\/19, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590 a factor of 4479030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 1:09 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1048 + a?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from {b: 1, o: 1, a: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/(-3))\/((-4)\/(-60)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 5*j**2 + 16*j + 53. Let q be v(10). Let c = -192 + 191.9. Is q > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 609661 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2\/73)*l)\/l)\/l**11)\/(l**(-2\/9))**7 assuming l is positive.\nAnswer: l**(-6223\/657)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 27. Let j = 243616\/15 + -16216. Let r = -25 + j. Do h and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5257?\nAnswer: 7, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 - -44. Let r(m) = m - 1. Let y(i) = -1. Let o be -3*(-2 - -5 - 4). Let u(q) = o*r(q) - 5*y(q). What is u(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 8:10 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901809 is divided by 2947.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 32*u - 75. Let h = -224 - -253. Let n be d(h). What is the greatest common factor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/446 and 137\/6276?\nAnswer: 1399548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233600 is divided by 396?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 288754 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**6\/12 + 57*o**5\/25 - 293*o**4\/40 + 44*o**3\/5 - 4*o**2 - 6451. Find m such that w(m) = 0.\nAnswer: 0, 4\/5, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7369031?\nAnswer: 37, 277, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*n - k - 18 = 11, k - 5 = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - 6*y**2 + 0*y**2)*(4*y**3 - 2*y**3 + y**3) + (-4 + 4 - 3*y**3)*(1094*y**2 - 2909*y**2 + 539*y - 539*y).\nAnswer: 5439*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -1, -26, -67?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4706 divide 253815113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 58 = -3*f, -10*i = -9*i - 2*f - 6. Suppose i*n - 189 = -35. Solve 0*k + 4*k = j + 8, -5*k - n = 4*j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*s - s - 18 = 0, 2*z - 4*s - 16 = 0. Let u = 56.9 + -67. Let i = u + 12.1. What is the closest to i in z, -4, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (119\/(-833))\/((-11)\/693)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 346477 in decreasing order.\nAnswer: 346477, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38098 = -31*h + 15315. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (198\/(-33))\/(9*42\/6678)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 8*x**2 - x. Let o(j) = -j**2 + 5*j + 1. Let y be o(5). Let b be -4 + 2 + y - -2. Is m(b) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((4 + -3)*1). Suppose -2*j - 9 + 31 = w. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18954 is divided by 1554.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + 1 + -41 + 23 + -6\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*j*z**3 + f*j*z**2 - f*j*z - 243533*f*z + f + 5990135*j*z**3 - 2*j*z - 3 wrt z.\nAnswer: 6*f*j + 35940810*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -273*n**3 - 2292*n**4 - 250*n**3 + 3173 + 523*n**3 wrt n.\nAnswer: -9168*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 6302 + 4966 = 0. Let g = x + -504. Does 45 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (-76 - (-116 + 39))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x + 9201 - 9301 = 0. Sort -2\/5, -1080, x in ascending order.\nAnswer: -1080, -2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1735 = -3*d, -5*d + 7*d = 3*v - 1022. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 194191913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 10*o**4 + 6*o**3 - 6*o - 10. Let w(q) = 140*q**4 + 85*q**3 - 85*q - 140. Let l(k) = -85*j(k) + 6*w(k). Find the first derivative of l(p) wrt p.\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 111613?\nAnswer: 111616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -903 - -904. Let z be (x\/(10\/8))\/((-33)\/(-5115)). Solve z*a = 123*a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6180 divided by 103?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u - 59 = -5*p + 46, -21 = -3*p + 3*u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -755987 divided by -32869?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1*-1*((-30)\/(-32))\/15\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 52*w + 96. Let l be n(-50). Which is the second biggest value? (a) 1\/22 (b) l (c) -3\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, e: 1, k: 2, z: 2}. What is prob of picking 2 a and 1 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, c: 2, n: 1, b: 1, g: 1, w: 1}. Give prob of sequence nwg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1127146, -2254288, -3381430, -4508572, -5635714, -6762856?\nAnswer: -7889998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 175*s**2 + 3*s - 25180 wrt s.\nAnswer: 350*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/81829104 and 103\/272763680?\nAnswer: 818291040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fvvvfvvv. Give prob of picking 3 v and 1 f.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/3381)\/(-1*(135\/(-63))\/15)?\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 8*u - 3*u. Let w(r) be the second derivative of r**4\/24 - r**3\/3 + 41*r**2\/2 + 74*r. Let j(t) be the first derivative of w(t). What is j(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2, 5, 8\/73, -1\/3, -3?\nAnswer: 8\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l. Let j(o) be the third derivative of -1\/12*o**5 + 8*o**2 + 0*o + 0*o**3 + 0*o**4 + 0. Calculate w(j(h)).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) 2 (b) -1\/3 (c) -1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**19*(f*f**(-2\/83))\/f*(f**5)**(-3\/40) assuming f is positive.\nAnswer: f**(12351\/664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 790329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 20, 24, 28, 32?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5380894849.\nAnswer: 11, 489172259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50681462666.16 - 1.\nAnswer: -50681462667.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40 + 40 - 184*y**2 - 56*y**2 to the form a + r*y**2 + b*y and give r.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-12))\/(((x**(1\/2)\/x)\/x)\/x)*x**1*x**(-1) assuming x is positive.\nAnswer: x**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 18*w**2 + 22*w - 18. Determine h(5).\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -905 in -0.4, -9\/2, 0.1?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z + 45. Let r be (-3)\/(z\/276*-2). Is -1 + (-1*2 - r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 65448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -4 (c) -34094 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24136119 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*t + 8. Suppose -m - 2*y + 0 = -6, t = 4*y. Suppose 2 + 2 = k. Calculate the least common multiple of m and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 9*j - 12. Let k be z(5). Suppose -k*f = -22 - 18. Suppose -56 = -f*x + 129. What are the prime factors of x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 9*l + 9 = 3*m, 4*m - 4*l = -16. Let h(r) = -1 - r + 5*r**3 + r**2 + 8*r**3 - 10*r**3 + 6*r**3. Determine h(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20222 (base 4) to base 14\nAnswer: -2b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*o**2*u + 5*o**2 - o*u + 76*o - 1 wrt o.\nAnswer: -14*u + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7317231 or 0.1?\nAnswer: -7317231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 - 19)*(4*n**2 - n**2 - n**2).\nAnswer: -58*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/2 + (-2)\/(-1). Suppose -l*j + 8 = -8. Solve h + j*c - 1 = -0*h, -5*h + 22 = 3*c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1 = -3. Suppose 4*k + k + 4*l = 43, f = -k + 4*l. Let x = -3 + k. Solve 4*h + 4*v = 28, -x*v = -2*h - 2*v - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -368 divided by 76?\nAnswer: -92\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -178*s**3 - 3*s - 3. Let h(q) = 357*q**3 + 5*q + 5. Let w(k) = -7*b(k) - 4*h(k). Let v(r) = -2*r**2 + r + 5. Let m be v(2). Is 15 a factor of w(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2 - (-7)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 5\/3 (c) 1 (d) -300\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 962436742?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -121 + -32 + (27 + 21 - 4).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**3 + 4648*f**2 + 13980*f = 0?\nAnswer: -3, 0, 1165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 2:22 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3867*f**2 - 563*f + 1128. Does 65 divide y(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 9:13 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24\/13296649 + -8518644444461\/292526278. Let b = t + 29126. What is the common denominator of -43\/6 and b?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1245, 2275, 3111, 3753, 4201?\n\"Answer: -97*u**2 + 1321*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 7.00000007. Round b to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*q + 185 + 7 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.27 + 1.27. Which is the closest to r? (a) 2 (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 8) to base 16\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vccvwcccddwd. What is prob of sequence wcvd?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/69*234\/(-507)*3471\/6?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 + 64 - 397*q**2 - 627*q**2 + q**3 - 128 to m*q**2 + o*q + c + k*q**3 and give m.\nAnswer: -1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*i + 3650 = -119*i. Which is greater: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*w - 150 = 0, -5*a + 97 = 2*w + 484. Let f = a + 82. Solve -f*k - 20 = n - 2, -k - 3 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/60210 and 59\/96336.\nAnswer: 481680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3874823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1806 and 7998?\nAnswer: 55986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + 58. What is the fourth smallest value in -6, -0.5, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/5 - 39317*v**2\/5 + 117958*v\/5 - 15728.\nAnswer: -(v - 2)*(v - 1)*(v + 39320)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1. Let d(f) = -f - 11. Let q(k) = 2*d(k) - 22*t(k). Let v(n) be the first derivative of 0*n + 102 + 2*n**2 + 2\/3*n**3. What is v(q(c))?\nAnswer: 8*c**2 - 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + n - 3. Give l(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/561 and 3692\/(-143)*(-7)\/35*15\/144?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 944451 is divided by 314322.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*p - 41*p - 5814. Let o = p - -306. Put -4, -3, o, 112 in decreasing order.\nAnswer: 112, o, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeee. What is prob of picking 4 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*c = -0*s - 8, -s + 4*c = 5. Suppose 0 = -3*o - k + s, 3*o - 6 + 1 = -2*k. Solve -13 = -o*n - 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 20)*(g**2 + 0*g**2 + 0*g**2)*(g - 3 + 1 + 4)*(16*g + 9*g + 0*g).\nAnswer: -525*g**4 - 1050*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -10) + -17 + 1 + (3 - -14).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 - 0.813. Let f = h + 1.913. Let g = -0.46 + 0.06. Which is the second biggest value? (a) -2\/7 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pee when three letters picked without replacement from {p: 1, q: 12, y: 4, e: 2}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2. Suppose 0*n = 4*n - 8. Suppose 3*a = -n*a + 10. Let u(t) = 4*t - a*t + 0*t - t. Determine u(l(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-2*a - 3*a + 4*a) - 2091*a - 8128 + 8128.\nAnswer: -2090*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*f - 0 + 4, 3*f = b + 4. Suppose 2*s + 22 = 4*a, -8 = 4*s + 5*a - 3. Sort s, -4, b.\nAnswer: s, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -50 in 0, -8, -1, 183, -2, 1\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/370 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 33.2. Let b = -1 + -3. Let p = 3.8 + -2.8. What is the nearest to p in c, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 13*l**2 + 20*l - 23. Let y be x(14). Let d = -181\/3 + y. Let w = -0.3 + 0.1. Which is the third smallest value? (a) w (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.053 and 1.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.5 + 3.92. Let s = -0.57999946 - i. What is s rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 5*r + 4. Let m(o) = o - 6. Let i be m(6). Suppose i = -5*l + 4*l - 3. Is 7 a factor of h(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20\/119 + -37\/119. Which is the third biggest value? (a) x (b) 4 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -6 (b) 2\/13 (c) -5 (d) 413 (e) 3\/10 (f) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -564.8 - -712. Let u = d + -147. What is the closest to 2\/49 in u, -0.4, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9083.46 - 0.1.\nAnswer: -9083.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -13511*m - 756653. Calculate x(-56).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h**2 - 2*h**2 + 0*h**2 - 3)*(-110 + 482062*h + 7*h**2 - 482062*h) to u*h**2 + q*h**4 + l*h**3 + b*h + i and give i.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68058868.\nAnswer: 2, 67, 253951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**9\/7560 + t**8\/1400 - t**7\/700 + t**6\/900 - t**3 - 3*t**2. Let r(n) be the first derivative of q(n). Factor r(o).\nAnswer: -2*o**2*(o - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12890 = -5*r - 2*l, 3*r + 2*l = -5627 + 13357. Let b(k) = k**3 - 4*k. Let h be b(4). What is the tens digit of (-2)\/(-8) + r\/h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - p - 10. Let z be d(3). Solve 2*x + 3*i = 8*i + 16, -z*i = 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**6\/120 - 11*o**5\/30 + 17*o**4\/24 + 25*o**3\/3 - 8*o**2 - 2*o. What is the remainder when s(-23) is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 + 12\/18. Suppose -s = 1 - 5. Suppose 0 = s*f - l - h*l + 20, -f - 2*l = -4. Which is the closest to -2? (a) 0.5 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/15 and 21\/11?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 != -0.21106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23)\/(-18) - (-8)\/36. Let s be (-1)\/(-1) + -10 + 9. What is the closest to s in -2\/7, 1\/3, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0445099 and -0.5.\nAnswer: -0.5445099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 62*j**3 + j*k - k + 105 wrt j?\nAnswer: 186*j**2 + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p - 10*p - 28 - 11*p - 10*p + 34*p.\nAnswer: -9*p - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**5\/20 - r**4\/8 - 3*r**2\/2 + 2. Let w(k) be the second derivative of m(k). What is the second derivative of w(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((9 - 9 - 7*n)*(-1 + 1 - 1) + n - 11*n - 12*n)*(-3 + 3 - 2) as a + i*n and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 837, 851, 871, 903, 953?\nAnswer: 1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 3. Calculate y(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5 + 286*y**4 - 10526*y**3 - 40190*y**2 + 4178464*y + 4207840 = 0. Calculate y.\nAnswer: -17, -1, 28, 65, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(30)\/(sqrt(1440) + sqrt(1440) + sqrt(1440)*3) + 5 + (2 + sqrt(3))*-2).\nAnswer: -119*sqrt(3)\/10 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 856\/5845 + -3\/835. Let i = -0.36 - -14.36. What is the third smallest value in -1, m, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 5:02 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 310 + -67. Calculate the highest common divisor of u and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509627 at most 509628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c. Let s be 2\/(-3 - (-10)\/3). Let h(g) = 7*g - s*g - g - 4*g**2. Determine n(h(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 20.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - w**2 + w + 1. Let r be c(-1). Let a(n) = -2*n - 1. Give a(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -874*z + 25928 = -411*z for z.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122.57 - 54.93. What is q rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.6. Let j = 14 - 15. Let d = 39 - 270\/7. What is the smallest value in j, d, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850048333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - -51) + 1203475\/(-16928)?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1853 = 4*x - 5*f, x - 4*f - 920 = 3*x. Let v = x - -843. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217.5732 rounded to one dp?\nAnswer: -217.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**4\/12 + g**2. Let x = -10 - -42. Let f(y) = 17*y**2 - 68*y**2 + x*y**2. What is f(k(t))?\nAnswer: -76*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -11. Let x(v) = -12*v + 107. Let i(m) = 4*m - 36. Let j(h) = b*x(h) + 17*i(h). What is the tens digit of j(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -11 (c) 23 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 10*w - 30. What is the second biggest value in 0.1, 1, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10021101221 - -11?\nAnswer: -10021101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*l = -9, 4*u = 2*u - l + 5. Suppose j - 24 = -4*x, 5 - 2 = 3*x - 3*j. Suppose -4*b - 2 = -x*b. What is the remainder when b is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1864?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 10*b - 31. Let l(x) = 445*x + 80. Let c(p) = 32*p + 5. Let r(a) = 14*c(a) - l(a). Suppose -6 = -4*i + i. Determine i*v(g) - 7*r(g).\nAnswer: -g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 14*y**2 + 14*y + 17. Let m be j(15). Let u(k) = 5*k**m + 1317 - 1317. Let i(r) = r**2. Determine u(i(n)).\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111112203 (base 4) to base 10.\nAnswer: 87459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence weu when three letters picked without replacement from wdduuuhweddheu.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-75848322)\/165*18\/(-4) + (-4)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s**2 - 3 + 3089*s - 3090*s - 10.\nAnswer: 15*s**2 - s - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2639775 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -25750 divided by -1547\nAnswer: 25750\/1547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33*k**2 - 22*k + 13895 wrt k?\nAnswer: -66*k - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7422, -29819, -67178, -119493, -186758?\n\"Answer: c**3 - 7487*c**2 + 57*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -4*n + 3*r, -r = 31*n - 28*n + 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 71, 4, -5\/3, 0.5, 0 in decreasing order.\nAnswer: 71, 4, 0.5, 0, -5\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/139, 0, 1\/10 in decreasing order.\nAnswer: 5, 1\/10, 0, -2\/139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 15\/4 (b) -901\/11 (c) -140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 136 = p + 134, -7*y = -5*p + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1009 - 9052\/9. What is the common denominator of 95\/6 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h - 320 = -61 + 353. Let j(u) be the first derivative of 4\/3*u - 1\/3*u**3 + h + 0*u**2 - 1\/12*u**4. Let j(s) = 0. What is s?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27855253 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -84686?\nAnswer: 3\/42343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -292*(-308)\/13220592*6\/10*(-10)\/(-2)\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 1.23063946?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.0996 - -0.02641\nAnswer: 0.12601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 38*s - 4. Let d be l(-3). Let w = 119 + d. Solve w + 9 = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/19 - 76300*r**3\/19 + 1830432*r**2\/19 - 14641408*r\/19 + 39041024\/19 = 0 for r.\nAnswer: 8, 38126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35 and -3.3.\nAnswer: 115.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3428*s**3*w**3 - s**3*w + 5*s**3 + 3*s**2*w**5 - 2*s*w - 264*w wrt w?\nAnswer: 20568*s**3*w + 60*s**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9215334471825 - 9215334475578.000006993. Let l = 3753 + d. Round l to seven decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 6*i - 3. Let d be g(-5). Let u be 69\/(-36)*(4 - d). Which is smaller: u or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23719, -23720, -23721, -23722?\n\"Answer: -x - 23718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 9. Let l be u(5). Let v be l\/35 + 17\/5. Let z(f) = f**2 - 5*f + 6. Let y be z(5). Solve -r - 7 = -v*o - 3, -3*o = -3*r - y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 35?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + o**2)*(0*o - 13*o - 2*o)*(-1 + 0 - 1)*(2 - 5 + 4)*(0 + 7 + 0).\nAnswer: 210*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, q: 2, g: 10, u: 1, h: 1}. Give prob of picking 1 u and 2 q.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -642383\/44 + 14598. Let n = 42019\/6 + -7026. Find the common denominator of n and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = -6*t. Let x = t - -4. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2509 + 131875.\nAnswer: 131874.7491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4111671 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 52. Let v be h\/(-50)*5 - (-1 + 4). Which is smaller: 48 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6732 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 - 95.6. Let z = 3.4 - 0. Let k = x - z. What is the second smallest value in k, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -23941*n**2 + 1513*n + 1513. Let u(l) = 95*l**2 - 6*l - 6. Calculate -6*p(z) - 1513*u(z).\nAnswer: -89*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*z + 17, 4*z - 2 = g + 3. Let d(v) be the second derivative of 0 + 1\/2*v**4 + 5\/2*v**2 - 2*v - 1\/20*v**5 - 7\/6*v**g. What is d(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0 = 5. Let n = -15 - -10. Put g, -3, n in descending order.\nAnswer: g, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 20.\nAnswer: -9\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -335100 (base 7) to base 10.\nAnswer: -59388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/27 + (335\/(-45) - -8). Which is the third smallest value? (a) 0.3 (b) 1\/5 (c) 0 (d) -14 (e) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*p - 9544428 = -47*p. Let w = -12629262 - p. What is w rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3754471451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -102203031 (base 5) in base 10?\nAnswer: -428516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17975137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 751395 or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6951690 by 30.\nAnswer: -231723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1082 - 1082.4. Sort -0.3, 2, i, 1\/4 in ascending order.\nAnswer: i, -0.3, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -806*1\/(-10) + (-8)\/(-20). What is the highest common factor of 54 and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (10 - -7) + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17190797 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: What is the fourth smallest value in 0.2, -2, 2119, 5, 0, 0.17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 53 and -0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 5*c**2 - 22 - 6*c**3 + 2*c**2 + 26. What are the prime factors of l(-3)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -296755640*a**2 - 64753160 wrt a?\nAnswer: -593511280*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 11*v**2 - 14*v + 14. Let r(x) = -7*x**2 + 9*x - 9. Let k(j) = -j**3 + 4*j**2 - 5. Let w = 17 + -13. Let q be k(w). Determine q*b(f) - 8*r(f).\nAnswer: f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 - -51. Let w = 1340.1 - 1335.1. Let g = -0.7 + 0.2. What is the second smallest value in w, g, 2\/7, s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1.1, -9339, -5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -r - 16268, -7*z + 9762 = -4*z - r. Suppose z + 527747 = 3*m. What is m rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2892?\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/6 and -111\/35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0.1, 4, -1\/556, -3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0*-18030185\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 7*m + 3 = 9*m, 3*t - 4*m = -31 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 566532 to the nearest one thousand.\nAnswer: 567000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 + -0.27. Let z = 1.3 + -0.3. Let j = z + 0. What is the second smallest value in -1, j, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70084 and 315378.\nAnswer: 630756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 444644 and -0.2.\nAnswer: -88928.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 88860631729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h - 965 = -785 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -795 - -794.362. Let f = n + 3.638. Let h = 0.3 + -0.4. Which is the nearest to h? (a) f (b) 9 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/(-10) - -2)\/(7\/35))\/19.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 716, 1445, 2150, 2819, 3440, 4001, 4490?\n\"Answer: -2*v**3 + 743*v - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + p - 1. Let m(k) = 3*k**3 + k**2 + 5*k. Calculate -m(c) + 5*s(c).\nAnswer: 2*c**3 - c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*n + 9*n. Solve -k - 16 = -2*x - 3, 0 = 5*k + n*x - 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29054776531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28722?\nAnswer: 2, 3, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10383813 is divided by 3308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1600 = -1116. What are the prime factors of j?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 237764.675 - -19.\nAnswer: 237783.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(3\/7)*x)**(-1)\/(x**(-5)*x*x\/((x\/(x\/(x**14\/x)*x))\/x)))**(1\/6) assuming x is positive.\nAnswer: x**(29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 minutes before 11:19 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28861145?\nAnswer: 5, 71, 81299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7470)\/(-20))\/(2\/4). Let q = -425 + c. Suppose 0 = -2*l - 2*h + q, 2*h = -3*l + 4*h + 493. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**3 + 3*k**2 - 41*k**3 + 3*k + 0*k**2 - 55*k**3.\nAnswer: -83*k**3 + 3*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-19)\/(-4)*-2. Let a = -1 + t. Let g = 0 + 2. Solve 4*z + b - a = 3*b, 5*z - g*b - 22 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p + 3. Suppose -p*f + 0*f = -15. Sort -4, f, 0 in descending order.\nAnswer: f, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60369650*i + 4*i**2 - 120739255*i + 60369605*i.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 2. Let t be g(3). Solve t*a - 4 = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1ba + -10407?\nAnswer: -105c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138893 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -4. Suppose s = 6 - 1. Find the third derivative of -2*l**2 + 3*l**5 - 3*l**6 + l**s - c*l**5 wrt l.\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-171 - -165) + -2 + 0 + 17 - 102) + -9.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 3 + 238*o**2 + 227*o**2 + 263*o**2 - o - 8 to a + z*o**2 + q*o and give z.\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000550859 to 7 dps.\nAnswer: -0.0000551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6850 divide 1018540200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggzzggz. Give prob of picking 4 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**6\/120 + 2*f**5\/15 - f**4\/8 + 2*f**3\/3 - 7*f**2. What is the units digit of v(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5422598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5384479 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*x + 27239, -3*x + 5*x + 5*n - 13627 = 0. Let m = 197 - 4223. Let w = m + x. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190 + -156 - (-5 + -1 + (-2 - (2 - 0))).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (6 - (-3 - -1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/41, -0.1, 15, -2 in decreasing order.\nAnswer: 15, -0.1, -7\/41, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-302)\/(-36) + (-10)\/45. Let g be (4 - k\/(-5))*5. Solve l + 8 = 3*z, -g*z + 4*l + 6 = -17 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13 and 15.9.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)*c*c**(7\/4)*c*c*(c*c**(4\/19)*c*c)\/c**(-37))**(-28) assuming c is positive.\nAnswer: c**(-118531\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 432832 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74915 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3248 and 33098744.\nAnswer: 66197488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 2*o + 17. Let i be l(-5). Suppose -844 = -9*y - 790. Solve 2*k - k = -i*p - y, -5*p = 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-90)*(-92*(-21)\/(-28))\/((-3)\/3)?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) -2 (c) -543 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 46*f. Let k be l(0). Which is the third biggest value? (a) -7 (b) -1\/7 (c) k (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g + 19. Let o be q(-8). Solve s - 1 = -c, -7*s + o*s + 32 = -3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4552, 4569, 4584, 4597?\nAnswer: 4608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -875875 divided by 91\nAnswer: -9625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5 - 1767*s**4 + 127149*s**3 - 248985*s**2 + 123606*s = 0. What is s?\nAnswer: -654, 0, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 78385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 - -14. Sort 3, s, -1 in decreasing order.\nAnswer: s, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*k - 517*k + 20 = 0, -3*m = -3*k + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10372.21 (b) -4 (c) 0.46 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + w + 2*o - 12, -3*w - 3*o + 24 = 0. Suppose -v = -3*v - w. Sort -5, -3, v in ascending order.\nAnswer: -5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -3. Let r = 0 - 0.2. Let d = 0.1 - r. Which is the third smallest value? (a) d (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1953 = -19*d + 2056. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**4\/4 - 2*y**3 + 4*y + 1. Let x be a(6). Suppose i - 10 = -x*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -20, b - 4*z - 4 = -0*b. Suppose 4*m + m = b. Suppose 260 = j + m*j. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-6 - -13) - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134843993 to the nearest integer?\nAnswer: 11612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 3)*(5*w + 0*w - 13 - 3*w) to t*w + k and give k.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.929 - 0.071. Which is the nearest to -3? (a) 2 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/6 and 157\/1860?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 244.\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f. Let w(c) be the third derivative of c**5\/60 + 21*c**2. What is i(w(y))?\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (20 - 26) - -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -18*i**2 - 16. Let q(r) = -6*r**2 - 5. Let z be (-40)\/(-4)*3\/(-6). Let a(t) = z*m(t) + 16*q(t). Let n(d) = -6*d**2. Determine n(a(j)).\nAnswer: -216*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1059115 to the nearest ten thousand.\nAnswer: -1060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 32 = 4*j, -4 = -0*j - 2*j. Solve u + 1 = 3*w - o, 5*w - 4*u = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7497431627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67926, 67506, 67086, 66666, 66246, 65826?\nAnswer: 65406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (133 - -11) + -79 + -12.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1552695, -3105398, -4658101, -6210804, -7763507, -9316210?\nAnswer: -10868913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10019800 by 357850.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/14 - (-2)\/7. Suppose 0 = -3*c - 0*c + 3. Let j be -4 + 6\/c - (-2)\/(-2). Which is greater: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 39*i = 0. Does i = 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 - -0.1. Let u = h + -0.18000056. What is u rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 - s - s - 1 + 1 + 1 - 1 + s + (3*s + 0*s - 2*s)*(-3 + 1 + 3) + 4 + 2*s - 4 + 0 + 2*s + 0 - s - s + 3*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 2:10 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 47\/(-13))\/(786\/(-1703)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5 - 30*d**4 - 76*d**3 + 672*d**2 + 704*d - 3072 = 0. What is d?\nAnswer: -4, -3, 2, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2343 and 213?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.76*622711.\nAnswer: -473260.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17.1 times -43\nAnswer: 735.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 264, 551, 860, 1197, 1568?\n\"Answer: r**3 + 5*r**2 + 265*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q - 26*q = 432. Suppose -3*k - 87 = -q. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (443 + 232*a - 443)*(1 - 2 + 3 + (2 + 3 - 4)*(2 + 1 - 4)).\nAnswer: 232*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2 + 6*f + 8. What is d(-4)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 8:23 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 1 + 1188*h**2 + 2381*h**2 + 7*h**3 + 262*h**2.\nAnswer: 7*h**3 + 3831*h**2 + 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2117299 and 8739003?\nAnswer: 4573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5773.268ml in litres?\nAnswer: 5.773268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -3\/88848292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/1474 and -61\/110.\nAnswer: 7370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -12. Solve -2*u + o = -6*u - 11, -o = -4*u - i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/3, 1\/9, 4, -6\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**3*x + 180*d**3 + 250*d*x**2 wrt x?\nAnswer: d**3 + 500*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1979 - 36\/((-84)\/21) is divided by 105?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-120)*((-3)\/(-12))\/1\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 3580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11.26 - -6.26. Which is the nearest to -1\/5? (a) l (b) 3\/8 (c) -0.3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 855952\nAnswer: -5\/855952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14793326 * -0.3\nAnswer: -4437997.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -21\/5, 3, 0.1 in descending order.\nAnswer: 3, 2\/15, 0.1, -21\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2822549 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*u + 9, 17*u - 7*i = 13*u + 12. Let g = -10 + 16. Solve -5*a = -k + g, u*a + 4 = -a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -10*f**2 - f - 1. Let u be ((-20)\/(-5))\/4*-1. Let y be i(u). Let j = 24 + y. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*p + 28, 6*p - 3*p + 6 = 0. Let j(w) = 5*w**2 + 7. Let d(r) = -3*r**2 - 4. Determine q*j(o) - 7*d(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 6*c + 2 = -11*c, -c + 2 = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 145456053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -1. Let o be (-123)\/40*4\/6. Let a = -9\/4 - o. Are a and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(44132\/295)*2\/(-5).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*-1)**2*-1 - (-4 + sqrt(33)\/sqrt(3) + sqrt(176) + 2)**2) + 0.\nAnswer: -554 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/51765 and 133\/343536?\nAnswer: 348689040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 13 = -5*n + 1, -5*j - 12 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -225228792, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.17 + 9.7. Let z = -8.27 - k. Round z to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 3. Let p = j - -1. Which is the closest to p? (a) -5 (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4446 - (4\/(-1))\/(-4). Suppose -3*q = 2*q - a. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2838409 or 1?\nAnswer: 2\/2838409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -14\/3. Let t = 0.22 - 2.22. Let v be 4\/2*2\/(-8). Which is the closest to 1? (a) v (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, m: 2}. What is prob of sequence ooom?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -178*c + 3910. Let k be a(22). What is the third smallest value in -2.2, 1, k, -1\/8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*f)*(-5*f + 2*f + 4*f + (6*f - f - 3*f)*(0 - 1 - 1)) + 9*f**2 - 29*f**2 - 8*f**2.\nAnswer: -34*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, p: 3, k: 2, r: 4, m: 2}. Give prob of sequence pg.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-1))\/(130\/5). Let p(f) = -f**2 + 4*f - 1. Let t be p(4). Which is smaller: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1573, -6240, -14005, -24868, -38829, -55888, -76045?\n\"Answer: -1549*n**2 - 20*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*x = 13. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 220691?\nAnswer: 2648292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((s + s - 5*s)*(-10 - 99 - 6) + 5*s - 7*s + 0*s)*(s - 3*s - s).\nAnswer: -1029*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s**4 + 8553*s**3 - 2844*s**2 - 5700*s = 0. Calculate s.\nAnswer: -2\/3, 0, 1, 950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279, -548, -819, -1092?\nAnswer: -1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 406*v - 400*v + 2*u - 30, -5*u = 2*v - 36 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 662519 and 9259107?\nAnswer: 379623387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*t + 46*t + 5*x, -56 = 3*t - 2*x - 8*x - 111 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-2)\/(9 - 19))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/65)\/(2043\/(-3405)))\/(-1)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 816087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 14*n**2 - 3*n + 3*n. Let t(d) = 116*d**2 - 340*d**2 + 108*d**2 + 117*d**2. What is t(x(a))?\nAnswer: 196*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*w + w - w)*(2 + 1 + 0) - 3 + 3 + w)*(3*w + 8*w**2 - 8*w**2 + 2*w**3) in the form a*w**3 + l*w**4 + t*w + j*w**2 + g and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w. Let a be k(3). Let f = a + 31. Let y = 25 - f. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 6*x**2 - 19*x. Let m be p(8). Let i be m\/6 + 4*-1. Is -3 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 13*y = 15*y - 43718, -4*y = 3*r - 32791. What are the prime factors of r?\nAnswer: 3, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 19*y. Let c be q(15). Let p = -24 - c. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-140))\/((-2)\/(-10)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvx when four letters picked without replacement from vzvzxzvzzxzz?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 15*v**2 + v - 2*v - 14*v**2. What is the units digit of f(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 208 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-9))**(-47) assuming r is positive.\nAnswer: r**(-470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/4)\/((-6620)\/3310*(-2)\/(-80)*2).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21122 + -200012112010?\nAnswer: -200012020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-6)*(1452 + -5)*-4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12073 + 2629*q + 24138 - 12065.\nAnswer: 2629*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1820)\/1950 + (-12)\/8*(-4)\/(-15)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.534142 and 58514500?\nAnswer: 58514497.465858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12584 (base 10) in base 6?\nAnswer: 134132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-1)\/1)*(-24)\/1230*-41?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r + 1065 = 83*r + 14*r + 3153 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*w - 27*w - 84 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**4\/8 - 5*u**3\/3 + 935*u**2. Give x(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 0*k - 3, 0 = -3*m - 5*k + 4. Let t(g) = 5*g**2 - 7 + 2 + 3 - 7*g + g**m. Determine t(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-129)\/(-344) + 1659\/24 - (-77)\/22?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8.11*-2.39\nAnswer: -19.3829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*k**2 - k**3 - 3325*k - 1014*k + 1279*k + 26*k**4 - 2 wrt k?\nAnswer: 312*k**2 - 6*k + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2581 (base 15) to base 6.\nAnswer: -101004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.383982 meters to nanometers.\nAnswer: 1383982000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*b = 3*b - 4, 0 = 5*x - 5*b - 10. Suppose x = -2*t + 9. Let c(a) = -2*a + a**3 + 2*a - 2 - 4*a**2 - a. Calculate c(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 3*w + 3*w)*(0*w + 0*w - 4*w) - 4*w**2 + 6*w**2 + 0*w**2 + (-2*w - 2 + 2)*(-3 - 3 + 5)*(-w + 4*w + 2*w).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 110*n**2 - 3*n - 221*n**2 + 113*n**2 - 3. Calculate i(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27246750 divided by -12822?\nAnswer: -2125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 629, 1245, 2239, 3593, 5289, 7309, 9635, 12249?\nAnswer: 15133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/9)\/y**(-3\/4))\/((y**(-3\/8)\/y)\/((y\/y**(-2\/5))\/y)))**(-35) assuming y is positive.\nAnswer: y**(-6923\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 4666 to the nearest 100.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4015 by 340729.\nAnswer: -4015\/340729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6193975?\nAnswer: 5, 247759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -263*t + 3074. Give h(11).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 2322 in descending order.\nAnswer: 2322, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -85*b + 1506. What is a(19)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -26*i + 596 - 50*i - 596. Let s(g) = -g. Give l(s(z)).\nAnswer: 76*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74.4 + 64. Let o = j - -10. What is the nearest to 3\/5 in 4, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -1765\nAnswer: -16\/1765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - ((-4)\/(-1))\/(-1). Suppose -3*c = -s*c - 5. Solve -g - 12 = -c*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 90272958.3 milliseconds in weeks?\nAnswer: 0.14926084375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 + 39*y**3 - 507*y**2 + 2197*y.\nAnswer: -y*(y - 13)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*l + 468, 3*v - 156 = 2*v - 2*l. Suppose v - 444 = -4*f + 4*p, 0 = -3*p + 15. Let b = f - 9. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 17*r + 5 - 5.\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**0)\/w**(2\/9))**(38\/3) assuming w is positive.\nAnswer: w**(266\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.2395221 to two decimal places.\nAnswer: -16.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248071.\nAnswer: 248071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -3, 18259 in ascending order.\nAnswer: -3, -2, 1, 18259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5540400 divided by -180.\nAnswer: -30780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, y: 5}. Give prob of picking 1 y and 3 p.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 211\/150780 and -37\/215400?\nAnswer: 1507800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 17 (c) -16 (d) -0.5 (e) 2.3 (f) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 13 - 2 + 6*r**2 + 5*r - 5 - 5. Let c(a) be the second derivative of 7\/3*a**3 + 40*a + 17\/12*a**4 + 0 + a**2. Calculate -4*c(v) + 11*f(v).\nAnswer: -2*v**2 - v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 33*c + 115. Is t(24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26a379 (base 11) to base 15\nAnswer: -85822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -184 + 186. Let v(o) = 3*o + 0*o + 1441*o**s - 1 - 1440*o**2. Determine v(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 12\/14 - (-72)\/(-14). Let h be (-1 - 4\/(-3))\/(p\/(-120)). Let s(l) = 3*l**2 + 3*l + 2. Let g be s(-3). Solve g = h*k - 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 703 and 111.\nAnswer: 2109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22807 is divided by 1103.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfp when three letters picked without replacement from {t: 3, c: 4, u: 1, p: 4, d: 4, f: 4}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -774 and 39.\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33773247 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, u: 2, x: 3, o: 1, r: 9}. Give prob of sequence rrnr.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11603\/9165 - 2\/3055. What is the common denominator of n and -169*(-4)\/(-60) - (-40)\/(-120)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-111 - 1))\/(134\/(-3384)). Let u = s + -6\/67. Determine r, given that u*r**2 - 24\/7*r - 2\/7*r**3 + 16\/7 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -42*b + 5516. Determine d(131).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5590965*n**3 - 55969*n**2 + 16 wrt n.\nAnswer: 33545790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77)\/(-231)*(-9)\/(-2)*-1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1029938, -1030568, -1031198?\n\"Answer: -630*l - 1029308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 972952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*j = -3*j + 3, -15 = -5*j. Let a = 19 + -17. Let p(f) = 2 + 0 - 11*f**2 + 6*f**a + 3*f + v + f**3. Calculate p(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 + 64 = 9*u. Suppose 15*t + 3 = u*t. What is the closest to -1 in -25\/2, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 + -54. Let d = g + -7. Let z(c) = -3*c + 1. Let a(w) = 6*w - 2. What is d*a(n) + 7*z(n)?\nAnswer: -3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_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: What is the value of 2 - -11 - (-253)\/(-11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-9) + 20\/(-10). Let l = -100\/7 - -14. Which is the closest to 0.4? (a) i (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-12) + 101\/(-12) + 10.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 1.989.\nAnswer: 5.967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3337.9 to the nearest 10.\nAnswer: -3340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9222348 divided by -174.\nAnswer: 53002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 155 + -123. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*z = -19*z - 683 - 167 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 9*t - 3. Let s(x) = -2. Let a(f) = -g(f) + 4*s(f). Let b be a(8). Solve 0 = 3*h - 0 - b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8553*w = -8798*w + 9555 for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(91))\/sqrt(7)*1)**2 + 5*((sqrt(13) - 2*sqrt(13)) + -5).\nAnswer: -5*sqrt(13) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-9) - 85\/(-225). Which is the smallest value? (a) w (b) 1\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1.3 (b) 0.02 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11739762 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 2. Let i(j) = -10*j - 4. Let a(n) = -n. Suppose y = -y - v + 15, 18 = y + 4*v. Let l(g) = y*a(g) - i(g). Calculate -3*l(k) + 5*p(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 3. Let q be g(-11). Let t = -3 - q. Suppose 0 = -t*k + 13544452 + 455548. Round k to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 429 - 282. Let a = w - 145. Suppose -4*d - 5*i + 3 = 0, 0 = 4*d - 6*i + i - 13. What is the remainder when d is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -b47a82?\nAnswer: b47a7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 41*d - 42*d = 2, 15 = 5*d. Suppose -5*h + 8*h - y - 2711 = 0, -w*y = 25. Calculate the least common multiple of h and 12.\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 59, 82, 103, 122?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -141*i**3 - 5*i**2 - 4*i + 5. Is m(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*x + 5*f, 2*x + 3*f - 6*f + 14 = 0. Which is the nearest to 2\/7? (a) -3 (b) -5 (c) -4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 7 = -1. Let n(i) be the first derivative of -i**2 - 10*i - 344. What is n(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 308070 = 24853 - 108683. What are the prime factors of g?\nAnswer: 2, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4128 - 3757*x**4 - 36*x**4 - 479 wrt x?\nAnswer: -15172*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -24.3, -38, -1\/34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 482999\/36 - 13418. Find the common denominator of ((-1216)\/6)\/4*6\/216*6 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**5\/60 + 3*x**2. Let m(q) = 20*q + 117 - 117. Calculate m(n(c)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 5*f + 10. What is the units digit of l(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 15, -2, -34, 5, -4 in decreasing order.\nAnswer: 22, 15, 5, -2, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 4*b**3 - b**2\/2 + b + 15. Calculate the smallest common multiple of 4 and r(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74 (base 10) to base 5.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a + 2. Let j be p(-8). Calculate the highest common divisor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - (-12420)\/(-420)) + (-267)\/525.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = t + 5, 247 = 3*r - 2*t. Suppose -5*h + r = -12. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4714205*o**2 - 364125*o + 28125\/4 = 0.\nAnswer: 75\/1942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1386\/(-4)*156\/(-91). What is the highest common factor of 22 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434*s + 558*s + 575*s = -70515 for s.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 49*k**2 + 40*k**2 + 6 + 2*k - 4*k - 93*k**2 + k**3. What is p(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101 + -54. Solve 37 = 2*n + b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*x**2 - 30*x**2 - 22*x**2)*(-4*x**2 + 2*x**2 - 3*x**2) to the form r*x**2 + d*x**3 + n*x + q + k*x**4 and give k.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-675)\/(-95) + 16\/(-152)*1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 22, -1 in ascending order.\nAnswer: -1, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -6*o + o. Do o and -3 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/8*-6)\/(4\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fifhfhfhhfhhhhfhhhff. What is prob of picking 4 f?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -4*a**3\/3 + a**2\/2 - a + 3. Determine v(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2*v - 300, 4*v = -2*j + 5*j - 225. Suppose 5*m - j = -5*q, 4*m + 5*q = 3*q + 52. What is the smallest common multiple of 4 and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 16. Let h = 745182 - 745170.99933. Let s = h - t. Round s to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x - 7*x + x + (-1 + 2*x + 1)*(1 - 1 - 1) + (0*x - 8*x + x)*(5 - 1 - 2) + 0*x - 2*x + 0*x.\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88101\/5 - -17619. What is the fourth biggest value in 0.02, l, -2, -3\/11, 1\/6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 - 74 = -3*x. Let o = 57 - x. Let u be (-2)\/(-9)*o\/(-2). Which is the smallest value? (a) u (b) 2\/11 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, x: 2, d: 5, j: 1}. Give prob of sequence ddjx.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -739*z**3 - 1638*z - 2 wrt z.\nAnswer: -4434*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -690, -1556, -2428, -3306, -4190?\nAnswer: -5080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 + 1247\/15. Let s(u) be the second derivative of -1\/21*u**7 + 0*u**5 + 0*u**4 + 0 - 3*u + 0*u**2 + 0*u**3 + l*u**6. Find z such that s(z) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*j + 4*j. Let c be (27 + -15)\/(-2*(-2)\/6). Let o be ((-6)\/c)\/((-20)\/(-18)). Which is bigger: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -14*h + 71. Let w be d(5). Let b(i) = 8*i + 6. Let m(r) = -r - 1. Let f(v) = -b(v) - 5*m(v). Let j be f(w). Sort -5, j, 9 in decreasing order.\nAnswer: 9, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572858?\nAnswer: 2, 11, 13, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 336\/(-189) - 1 - -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/66*(-473)\/1118.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -7 + -12 + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 354, 1485, 3364, 5985, 9342, 13429, 18240, 23769?\n\"Answer: -q**3 + 380*q**2 - 2*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 11. Suppose 3*d = 4*d + 1. What is the second smallest value in f, d, 3\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 1)\/(7\/105). Let d(z) = 5*z - 10. Let f be d(7). What is the greatest common factor of w and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133114 * 0.461\nAnswer: 61365.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 114590955157\nAnswer: -114590955156.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 63488, -5 in ascending order.\nAnswer: -6, -5, 0, 63488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 2. Suppose -g*r = r - 24. Let m(w) = -w**2 + 8*w - 9. Calculate the lowest common multiple of m(5) and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((2\/(-1))\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*u**4 - 29*u**4 - 6*u**2 - 4*u**2 + (5 - 4 - 3)*(0 + 0 + 2*u**4) - 2*u**3 + u**4 + 2*u**3 to w*u**2 + h*u + l*u**4 + r + d*u**3 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*2\/(-4) + -2. Suppose f = -r*f - 11. Let t = 19 + f. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 1\/80*b**5 + 150*b - 1\/12*b**3 + 1\/48*b**4 + 0 + 0*b**2. Factor g(k).\nAnswer: k*(k - 1)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00556 - 4480014?\nAnswer: -4480013.99444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.7 - 1.7. What is the closest to l in -0.1, -3\/2, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-321)\/(-81) + -4). Let q = g + 39. What is the remainder when 57 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13, -15, -31, -67, -129, -223, -355, -531?\n\"Answer: -n**3 - n**2 + 8*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*y - 6 = 0, 3*y = -4*z - 0*y + 54. Is (1 + (-69)\/z)*-28 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4194 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 710 + -644. Calculate the remainder when 262 is divided by s.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.11 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 874383540 to the power of 1\/4, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - b + 0*b - 2*b = -26, -4*w - 457 + 445 = 4*b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 109023 + 15*a**2 - 950*a - 16*a**2 - 158887 - 148046 - 27715.\nAnswer: -(a + 475)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/80 and -143\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 27 + 2 = 0. What is the closest to 0 in 3, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -285 + 336. What is the remainder when t is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6157335*u**6 + u**2 - 180299*u - 5.\nAnswer: 738880200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7114374 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4649830 rounded to the nearest 100000?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0146 rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214, -1019, -1922, -2563, -2582?\nAnswer: -1619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1200 and 6480?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**2 - 8*p + 10. Let b be w(2). Suppose -b*k - 15769 = -47399. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211235405 (base 6) to base 15\nAnswer: -4d3348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2853207, 11412883, 25679011, 45651591, 71330623, 102716107?\nAnswer: 139808043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15828 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 2:25 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3))**(3\/7)\/(y**0\/y)**(-4\/21))**(13\/3) assuming y is positive.\nAnswer: y**(-403\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.04 + 0.32796144.\nAnswer: 3.36796144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 3:06 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 38300 (b) 0 (c) -5908\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + r - 135 = 0, -743139*r + 743143*r = -4*k + 144 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*-1*(-2)\/(-3). Let g(m) = 5*m**2 - 8*m + 4 - 13 + 100*m**3 - 147*m**3 - 5*m + 48*m**3. Is g(y) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9758*b**2\/3 + b\/3.\nAnswer: b*(9758*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 + 59. Let x = -39 - k. Solve 4 = 5*j - y, x*j - 5*y = j - 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.4 - -22.4. Put s, -5, 5\/2, -1 in descending order.\nAnswer: 5\/2, s, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**7\/42 - 41*s**6\/24 - 43*s**5\/6 - 1965*s**2. Factor h(f).\nAnswer: 5*f**2*(f - 43)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2871694 rounded to the nearest one hundred thousand?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.071074 - -126.922726. Let b = g - 128. What is b rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, g: 8}. What is prob of picking 1 e and 1 g?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1630529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33 + -71c?\nAnswer: -751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -5. Let j be -1*(2\/3)\/(20\/6). Put -3\/7, j, h in decreasing order.\nAnswer: h, j, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*x + 2389 + 640 + 1182 = -3892 for x.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k - 3 = 0. Let q(d) = 2*d**2 + k*d**2 - 4*d**2. Let g(a) = a**2. Determine g(q(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**2 - 682*l + 4*l**2 + 5*l**2 + 1959*l.\nAnswer: l**2 + 1277*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/624 and 73\/32.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133 - -136. What is the highest common divisor of f and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 33 (b) 3 (c) -197 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/5)*u)\/u*u**(-2\/13)*u*u\/(u**(-1\/4)*u)*u**7 assuming u is positive.\nAnswer: u**(1949\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + -271\/8. Let x = 19\/30 - 5\/6. Let m be 1\/(-15) + (-4)\/12. Which is the closest to m? (a) -0.4 (b) k (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*a - 9, 2*x + 5*a + 1 = 0. Let w(m) = -7*m + 3. Suppose -i = 4*i. Let u(n) = -3*n + i - 7 + 18*n. Calculate x*w(r) + 3*u(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -279*o**3 + 5*o**2 + 585. Let i(j) = -j**3 + j**2 + 2. Let z(f) = -4*i(f) + q(f). Find the third derivative of z(a) wrt a.\nAnswer: -1650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528.2 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 46122552, 46122555, 46122558, 46122561?\n\"Answer: 3*p + 46122549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -0*v - 4*o + 124, -3*v = 2*o - 76. Let s be (112\/18)\/((-10)\/(-45)). Calculate the highest common factor of s and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfxs when four letters picked without replacement from {s: 2, f: 1, d: 2, q: 1, x: 10}.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -167184 by -55728.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 5:10 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4031.8 to the nearest 100.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1005)\/(-10) + 1 + -2)*2.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*a + 66, a - 2*a = -4*g + 69. Suppose 0*v - 3*v = -12. Suppose -v*p + 30 = p + 3*z, 25 = -5*z. What is the greatest common factor of p and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47.3 + 43. Let b = m + 4.5. Let w be (-13)\/45 - 6\/(-15). Which is greater: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-4 + 2 - -29). Let i = w + -22. Suppose -2*s + 3*s + 4*l - 6604 = 0, -32995 = -i*s + 5*l. What is s rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f**2 - 11*f - 146. Let i(l) = 3*l**2 - 7*l - 144. Give 3*i(x) - 2*p(x).\nAnswer: x**2 + x - 140","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(13\/5)*q\/((q**(2\/29)*q*q)\/q))\/(q\/(q**3\/q)*q*(q**(-2\/29)*q)\/q) assuming q is positive.\nAnswer: q**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggg. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -15*y + 57. Let g(n) = -4*n + 14. Determine -21*g(x) + 5*q(x).\nAnswer: 9*x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 291, 293, 301, 315, 335, 361, 393?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/2 - (-116 - 2). What is d rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(726)*2).\nAnswer: sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1200234 is divided by 212.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-3)*(-6765)\/50. Let w = g - -181. Which is the second biggest value? (a) 1\/4 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*a + 114 = 0, 5*g - 207 + 67 = -5*a. Suppose -w + 2 = 4*b, -w + 76 = 2*w - 2*b. What is the least common multiple of g and w?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 126?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/4511 in -1, -1\/4, -11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85478830 to the nearest integer?\nAnswer: 9245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 278543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*f - a + 4447, -3*f + 3321 = -4*a. Let w = f - 739. List the prime factors of w.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/20*100\/60?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-12))\/(10\/3 - 3). Let c = -2 + 6. Put -3, c, q in decreasing order.\nAnswer: c, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(30\/28*3\/(-60)). Suppose -3*j - 5*f = -q + 11, f = 3. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/25575 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -150 - -361. Let c = x + 46. List the prime factors of c.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + 2 + 2*-2*-2*sqrt(931))**2.\nAnswer: -224*sqrt(19) + 59588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 207*-4\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17220581 rounded to 4 decimal places?\nAnswer: 0.1722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 4*r + 0*r)*(-5*r + 4 - 2*r + 11*r).\nAnswer: 12*r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -765 by 311274.\nAnswer: -85\/34586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from {h: 3, l: 6, o: 2, v: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189747 is divided by 61720.\nAnswer: 4587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1410 and 77503?\nAnswer: 2325090","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.05, -0.1759, -0.1.\nAnswer: -0.1759, -0.1, 0.05, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 - 3*y**3 + 1 + 5*y**3 + y**2 + (y + 3*y - 3*y)*(16 - 12 + 22)*(-71*y - 4*y**2 + 71*y).\nAnswer: -102*y**3 + y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-1))\/(6 + -2). Let o = -0.088 + -37.012. Let w = -37 - o. Which is bigger: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 + -3 + 0 + -2. Let n(s) = s**3 - 4*s**2 + 2*s + 4. Let x be n(a). Put x, 3, -3 in increasing order.\nAnswer: -3, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3212220003 + 110?\nAnswer: 3212220113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*y = 4*c + 11, -c - 3*y = 7. Put 14, 0, c, 2 in ascending order.\nAnswer: c, 0, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 + 111 = m + 4*h, 4*h + 126 = 2*m. Solve m*b = 40*b - 26 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 322 - 214. Let w(g) = -78*g**3 + 6*g**2 + 12*g**2 + 16*g - 5 + 79*g**3. Let q be w(-17). Calculate the highest common divisor of l and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*y + 12 - 42 = 0, 15 = b - 4*y. Let z be -9*b*(4\/4)\/(-9). Suppose 3*q - z*i = i + 2897, -1938 = -2*q + 4*i. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 26 - 24. Let j be (m - -2)*(-4 + 7). Suppose 2*a - 36 = -0*a + 2*w, 4*a = 3*w + 67. Solve 3*i - 2*r = a, -2*i = -j*r - 3 - 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/2969?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(1377) - sqrt(1377)*2)*-5 - (sqrt(1377) + 1)*2) + 5)**2.\nAnswer: 108*sqrt(17) + 49573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00835201 rounded to five decimal places?\nAnswer: 0.00835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 359 - 356. Let z(c) be the first derivative of 0*c + 0*c**2 + n - 1\/3*c**3. Let y(b) = 6*b. Calculate z(y(i)).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13563, 54362, 122303, 217338, 339419, 488498?\nAnswer: 664527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 670000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4.3 + 371433578\nAnswer: 371433582.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - 16 - 30\/(-2). Factor -16\/7*y + 16\/7 - 4\/7*y**v + 4\/7*y**3.\nAnswer: 4*(y - 2)*(y - 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -243 - -9?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 27)*(-95)\/(-1425)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 7 + 19 = 0. Suppose -160 = 4*c + b + b, -l*c - 4*b = 120. Let i = c - -95. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-37352)\/(-140))\/(-46).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -360, -0.2, -0.4, 0.1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 7*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-55)\/(3\/15*-1). Suppose 0 = -4*h - h + v. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 12. Let r(l) = l**3 + 11*l**2 + 2*l - 9. Let p be r(y). Calculate the common denominator of (-2)\/(-14)*p + -2 and -6\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129806119 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42)\/(-20) - (-36)\/(-60). Which is the closest to 16? (a) 2 (b) 5\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -39*p + 123257 + 295394. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l - v = 61, -43 = -2*l + 3*v. Which is greater: l or 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193489?\nAnswer: 181, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 7:01 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -236218.9 times -0.5?\nAnswer: 118109.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = g - 10*c + 5*c, 3*g - 2*c = 0. Suppose 0 = 4*o - 30 + 6. Let i(x) = x**3 - 5*x**2 - 4*x - 5. Let p be i(o). Solve -g*l + p*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1205006 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4}. What is prob of picking 3 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 36 = 9*z. Solve b = -2*b - z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d**2 + 5*d. Let p be n(6). Let v(q) = q**2 + 32*q + 135. Let f be v(-27). Suppose -2*r + f*z + 246 = -5*z, 2*r + z - p = 0. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*b + 32, -r - 3*b - 5 + 2 = 0. Let t be 2\/(0 + r\/(-51)). Calculate the highest common divisor of t and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 208 + -205. Suppose 4*g - g = -5*r + 21, g + h = -5*r. Calculate the least common multiple of 27 and g.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*l - 61 + 44 + 17.\nAnswer: -69*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c**2 - 2*c + 0*c + 4*c - c**3 + 2*c**3. Suppose 0*a + 3*a + 9 = 0. What are the prime factors of j(a)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Let h(w) = -2*w**2 - 15*w + 13. Suppose -2*x = 5*i + 41, -3*x + i - 19 = -0*x. Let b be h(x). Put r, -3, b in descending order.\nAnswer: b, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1. Suppose 2*d = -3*d + 25. Suppose -d*u = -2 - 3. Let j(r) = r**2 - 2. Let x(w) = u*j(w) - 2*i(w). Let v(l) = 2*l. Give x(v(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/9853597 and 91\/8?\nAnswer: 78828776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/2, -5, 2, 64?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i - 3*i)*(-2*i**2 + 2*i**2 - 3*i**4).\nAnswer: 12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 301\/7*(-1)\/(121\/(-11) - -12).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 24 + 24. Let w = 15 - o. Solve -x - 29 = b + 4*x, 4*x = -w*b - 32 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + r**2. Let k(x) = -23*x**4 - 8*x**3 - 212*x**2. Let u(w) = -k(w) + 6*s(w). What is the third derivative of u(g) wrt g?\nAnswer: 552*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -10 + 6*b + 8 - 10 - 9. Let j be l(4). Suppose -c = -t + j*c - 6, -4*t = -5*c - 9. Calculate the lowest common multiple of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1008) - (2*sqrt(1008) + 0)) + sqrt(1008) - (1 + sqrt(1008))**2*-6) + (sqrt(1008) - (sqrt(1008) + 3 + -4))**2 + 0)*-4.\nAnswer: -24220 - 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, o: 1, x: 1, m: 4, p: 2, g: 6}. Give prob of picking 2 p, 1 d, and 1 x.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p = -46*p + 3*p - 2627 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020522631 to seven decimal places.\nAnswer: 0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21165 and 578.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) 5 (c) -5 (d) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*n + 6 - 2, -2*n = 3*p + 12. Let w be (p\/18)\/((-7)\/168). Determine m, given that -w + 154\/3*m**4 - 146\/3*m**2 + 34\/3*m**3 + 64\/3*m - 98\/3*m**5 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmhvhvhvm. Give prob of picking 2 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -6*z. Let k(f) = -2*f + 21 - 36 + 34. Determine i(k(v)).\nAnswer: 12*v - 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36 - 36 - ((-125)\/5 - 2). Solve 0 = -3*y - m + 15 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from {e: 2, b: 6, r: 3, i: 1, c: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18193039.2 minutes in weeks?\nAnswer: 1804.865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.7 - 24. Which is the smallest value? (a) w (b) -0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3999289\/911 - -4390. Let z = 40979\/14576 + o. Find the common denominator of z and -7\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691650 is divided by 3602?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from {u: 1, w: 1, s: 2, h: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -97899 * 363\nAnswer: -35537337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 8*k - 5. Suppose -23 = 2*j - 3*c, -j - 13 = -4*c + c. Let y be j\/(-4)*444\/(-185). Give v(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-4) - 0)\/(-21*125\/(-7000)). Find z, given that -4\/11 + 2\/11*z**n + 2\/11*z = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00034707363 rounded to five decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 4*r = -15, -x + 2*r + 11 = 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (2 + sqrt(11))**2).\nAnswer: 20*sqrt(11) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 + 4*u - 1. Let a be m(-3). Let v(h) = h**2 - 8*h - 3. Let l be v(a). Suppose 4*s - l = 23. Is 26 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/40545253 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - b - 11 = 0, 4*t + 5 = 3*b + 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6)*k)\/((k*k*k\/(k*k**3\/k)*k)\/k)*k**(-1\/2)*(k**(-3)\/k)\/k)\/(((k**(-1)*k*k)\/k)**37)**16 assuming k is positive.\nAnswer: k**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1131315, 2262646, 3393977?\nAnswer: 4525308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*b = 3*b + 3, 17 = 5*j - 3*b. Suppose 0 = -4*n - k - 134, n - 112 = j*n - 5*k. Does 13 divide 5\/15*6 - n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -860, 1\/4, -1061, 3, 0.4 in ascending order.\nAnswer: -1061, -860, 1\/4, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83\/666 - -1\/74. Suppose -2*z + z + 45 = 0. Let q be 10\/z - (-4)\/(-6). Which is the smallest value? (a) -3\/2 (b) q (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q**2. Let i(a) be the second derivative of 5*a**4\/6 - 82*a. What is u(i(m))?\nAnswer: -600*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -y - 2. Let g(u) = -3*u - 1. Let m be g(-3). Suppose -m = -5*w - 3. What is the remainder when w is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(931) + 5).\nAnswer: -21*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 + 3*z - 3. Give p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -258.9\nAnswer: 103.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-10)\/n*n)**(-18)*n**22*n**44 assuming n is positive.\nAnswer: n**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 89*t + 87*t = 8, -t - 9 = 0. Solve 5*h = -b*n, -4*h = 7*n - 27 + 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.796 + -0.796. What is the third biggest value in 4, -2, 11, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100330313 + 10?\nAnswer: -100330303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4124104 is divided by 994?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -15*k + 11*k. Suppose -2*o = s, -4*s - 2*o - 3*o = 0. Suppose s*v + k*v = 85. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1930*d + 15. Let a(h) = -5773*h - 43. Determine 6*a(k) + 17*z(k).\nAnswer: -1828*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**10*h))**(-7\/4)\/(h\/(h*h*h\/(h\/h**(1\/21))*h))**(-16\/3) assuming h is positive.\nAnswer: h**(1217\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159239, -159238, -159237, -159236, -159235, -159234?\nAnswer: -159233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1092 (base 12) to base 6.\nAnswer: -12302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -20, -0.09, 1\/9, 2\/17, 2\/7?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29018?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from {k: 1, t: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/10)\/((-15)\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 2:41 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 21*i - 2975. Let c = 247 - i. What is the remainder when c is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 - 23 = 227*p + 77 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, c: 2, e: 2, m: 2}. Give prob of sequence mec.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10 = 2*l + l, -5*t = -10. Let u be 1\/((-15)\/(-6) + -2). Solve r + c = l, -u*r + c = -3*c - 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -1, 17 in decreasing order.\nAnswer: 17, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 7107102.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 less than 80274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Suppose -d = -h*d - 2*m + 5, -2*d + 15 = m. Suppose 6*z = z. Solve z = -2*i + 4*i - 3*j + 2, 0 = -2*i + d*j - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 8*m + 12. Let y(v) = -v - 1. Let w(k) = -2*p(k) - 18*y(k). Let i be w(4). Suppose 2*c**3 - 3*c**2 + 2*c**i + 0*c**3 - c = 0. Calculate c.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4611301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.15218 - 0.1.\nAnswer: -1.25218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9064 and 68?\nAnswer: 154088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 70569\/(-27165) - 8\/20. Is r at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27 - 15*o + 27)*(-1 + 4 - 4 + (1 - 3 + 0)*(-2 - 1 + 2)) to i + j*o and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -61*d. Let o(h) = h**2 - 6*h - 23. Calculate g(o(w)).\nAnswer: -61*w**2 + 366*w + 1403","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16032176579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -205?\nAnswer: -205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 17059436.\nAnswer: 17059439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j**2 - 9*j + 5. Let n(u) = -8*u**2 - 8*u + 4. Let h = 17 - 12. Let i(b) = h*n(b) - 4*w(b). Find the second derivative of i(t) wrt t.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -8*b**2 + 151*b + 3725. Determine y(33).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, 1, -13 in ascending order.\nAnswer: -13, -9, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 14*m**2 + 11*m - 30. Suppose -4*p + 9 = 69. Is n(p) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 913601303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v = 5*s - 123, 2*v = -2*s + 42. Find the common denominator of 31\/36 and 10\/s*481\/130.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 13 = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*k + 2 = 0. What are the prime factors of k*(-12 + (-4 - -3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**3 + 3*z**2 + z + 15. What is h(-5)?\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -5709*x**7\/7 + 7756*x**3\/3 - 5656. What is the third derivative of y(m) wrt m?\nAnswer: -685080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 24*r**2 + 20*r - 14. Calculate d(-23).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o**2 + 24*o. Let g(y) = -447*y - 449*y + 1343*y - 452*y. Determine g(f(c)).\nAnswer: -35*c**2 - 120*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 16) to base 10.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4961060766 to the nearest integer?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3076710357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 972372 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert a4 (base 16) to base 5.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 1:31 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -128*v**5\/5 - 7*v**4\/12 + 76*v**2 + 1987*v. What is the third derivative of r(z) wrt z?\nAnswer: -3072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*j**2 - 292021*j + 292021*j.\nAnswer: 124*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let r = -18075\/800377 + 1\/8993. Are d and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2341816479?\nAnswer: 3, 1579, 164789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -5\/11, -1.4, 0.3?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*45 - (1 - 1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p + 1. Let d be l(-6). Let g = d - 8. Suppose s - 14 = -2*t, t = g*s - t - 22. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 465 = -701. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 11. Calculate the remainder when 14 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38355 is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Let f(w) be the first derivative of 3*w**4\/4 - w**3 + w**2 - 2*w + 1. Is 7 a factor of f(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*q + 7792 - 7198 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**2 + 220*p + 224 = 0.\nAnswer: -1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -11328.641716 to 1 decimal place.\nAnswer: -11328.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*q = 3800000. Let k be 0\/(-6) - q\/1. What is k rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*s = -26, -4*w - 19*s + 3880 - 3803 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 33 = -j - 5*o, o = -4*j - 21 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - w = -3*u + 298, 0 = 5*w - 10. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3748?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 328? (a) 0.04 (b) 2\/11 (c) -8.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -40, -0.2 in decreasing order.\nAnswer: -0.2, -7, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.063 (b) 0.06 (c) -20 (d) -1\/6 (e) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14032449 and 438?\nAnswer: 2048737554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1775.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - t**2 - t**2 + 2*t**2 - 2*t + 2*t + (-2 + 3 - 2)*(t**2 - t**2 - 2*t**2) - 3*t**2 + 2*t**2 + 0*t**2 + 405*t - 1236*t - 2*t**2 + 6*t**2.\nAnswer: 6*t**2 - 831*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 0*c**3 + 5\/4*c**4 + 20*c + 49 - 1\/2*c**2. Find the second derivative of w(a) wrt a.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81*u**4 - 26*u**4 - 26*u**4 + 36*u**2 - 10*u**3 + 4*u**2 - 27*u**4 wrt u.\nAnswer: 48*u - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**4*p**2 - 45*c**3*p**2 - 15*c*p - p**2 wrt c?\nAnswer: 24*c**2*p**2 - 270*c*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**5 + h**5 + 2*h**5)*(0 + 1 - 5).\nAnswer: -8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 31 + 7. Suppose -9*z = -8*z - 11. Calculate the remainder when t is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -400197\/124003 + 1\/22546. Calculate the common denominator of v and -109\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(156)\/(-1*sqrt(12)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.84 + -0.16. Let g = h - -13.62. Let o = -0.22 + g. What is the closest to 0 in -1, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.1 (c) -0.4 (d) 0.68 (e) -7 (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 9*n - 8. Determine r(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h - 3*h - 16*h + 199 + 14*h + 5557.\nAnswer: 2*h + 5756","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + -4*((sqrt(245) + 1)*-4 - sqrt(245))**2 + 1.\nAnswer: -24569 - 1120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 1.75324\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246*w = 11*w - 1542. Calculate the remainder when 274 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9328815.\nAnswer: 3, 5, 207307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12360\/(-7200) - (-10)\/6?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65\/126 - -73\/630. What is the nearest to 4 in -4, i, 1, -1.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 - -213. Suppose r + 2*r = -2*l + h, 5*l - 3*r - 230 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**4\/5 + 1247*m**3\/5 + 8688*m**2\/5 + 9904*m\/5 - 3968 = 0.\nAnswer: -1240, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6*g + 4*m, -5*m = 0. Let v(n) be the third derivative of -1\/210*n**7 + 0*n - 1\/360*n**6 + g*n**4 + 1\/90*n**5 + 0 + 0*n**3 + n**2. Factor v(h).\nAnswer: -h**2*(h + 1)*(3*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43199366 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 13. Let t be l(9). Let p = 75 - t. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1776, -3?\nAnswer: 1776","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*f = -12. Find the common denominator of 41\/6 and (-8)\/(f\/5 - 1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -13, -1\/6, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a6 (base 11) to base 9.\nAnswer: -283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3 = -3*u + c, -5*u - c + 3 = 0. Suppose -6*z + 2*z - 2*r + 18 = u, -z + 2*r = 8. Solve 0 = -z*q - q + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2. Let n = 0.157 + -0.057. Let z = -0.1 + n. What is the nearest to r in -0.4, 1\/5, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -990.772 + 991. What is n rounded to 2 decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24, 166, 310, 456, 604, 754?\n\"Answer: u**2 + 139*u - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - m - 125*m - 5)*(-5*m + 5*m + 4*m).\nAnswer: -504*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -6) + 0 + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 11 - 32 + 4*m + 18. Give k(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 178*u + 338 = -7*u. Is -2\/689 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/3 (b) -0.3 (c) 0.048 (d) 24 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuu. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 not equal to 978\/331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 10. Suppose p - 22 = -u. Calculate the greatest common divisor of p and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**4\/4 - 39*p**3 - 4563*p**2\/2 - 2*p - 46. Find t, given that c(t) = 0.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from gwwhegzeeg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 18*t**2 - 68*t + 137. Is a(48) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2731 + -2768. Suppose 0 = -4*g - 8, 3*m + 3*g + 220 = -2*g. Let a = h - m. Calculate the greatest common divisor of a and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 131*h - 13045. Let p be v(100). Solve 301*m + p = 312*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, g: 5, o: 6}. What is prob of picking 1 g and 3 o?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 881.1646um to kilometers.\nAnswer: 0.0000008811646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -5, -46, -111, -200?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 2:50 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, m: 3, a: 6, b: 1, g: 3}. What is prob of picking 1 b and 2 g?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8813290.\nAnswer: 2, 5, 73, 12073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/152090 and -87\/566.\nAnswer: 43041470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Suppose -f = -y + 1. Let b = -4 + y. Put b, 5, 3 in increasing order.\nAnswer: b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*40\/210 + (-2)\/(-3)*17.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209154563 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 281750987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*v**3 + 22194574*v**2 - 22194574*v**2.\nAnswer: 63*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 + 2*y - 2*y + (-y**2 + 2 - 2)*(0 - 1 + 0) - 2 - y**2 + 2 - 5*y**2 + y**2 + 2*y**2 + (-4 + 1 + 4)*(-1 + y**2 + 1) as t*y + v + i*y**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70 (base 11) to base 10.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19730?\nAnswer: 2, 5, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -1.3298916989.\nAnswer: -1.5298916989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 173205 and 13950.\nAnswer: 53693550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8*(2 - 2). Let y be (124 + (-6 - -6))*2\/4. Suppose -63*b + y*b = -4. Solve -b = 2*f - r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -6, -2\/3, 3, 4\/21, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145776 a multiple of 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 42 = -b - 33, 15 = 4*b - 5*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.6 and 0.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 0 + 2*w + 1\/3*w**3 + 0*w**2. What are the prime factors of y(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 47 (c) 89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -313 + 641. Suppose 0*w - 2*w + 6 = -u, u = 3*w - 11. Suppose 3*f + 79 = 2*n, u*n - 4*f - 94 = 66. Calculate the greatest common factor of x and n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 9*n**2 + 9*n + 13. Let a = -238 + 752. Suppose 524 = b + a. Give f(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-96)\/(-60))\/((-2)\/(-5)) - -1. Solve 2*w + y*h - 1 = -0*w, -3*w + 5*h = 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 19*f**2 + 184*f - 158. What is the hundreds digit of d(-43)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25302 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iupp when four letters picked without replacement from uppi?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(11)*4 - sqrt(11))*1.\nAnswer: -13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009831 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 276\/72311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 892*d - 617. What are the prime factors of o(15)?\nAnswer: 12763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110111 (base 2) in base 5?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 1221202121?\nAnswer: 1221202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -272*u + 254*u + 396. What is the smallest common multiple of u and 294?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e0c1 + 31?\nAnswer: e0f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*n - 3*v - 27, 4*n - 3*v = 3. Let x = -2.8 + 3. What is the closest to -0.1 in 4, x, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**4 - 4*t**3 - 8*t**2 - 9. Solve b(i) = 0 for i.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -2, 2, -5, 0, 170 in descending order.\nAnswer: 170, 22, 2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2790391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 245622.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 7*x**2 - 5. Let n(q) = 2*q**2 - q**2 + 25*q + 1 - 25*q. Suppose 0 = m + 2*m + 4*y - 9, -2*y + 10 = -4*m. Calculate m*i(j) - 5*n(j).\nAnswer: -j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.226, 0.2, -5\/4, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -253090 rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 15) to base 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -157\nAnswer: -4\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-145)\/87)\/((-40)\/(-72)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 54\/2592*-72*(3\/(-4))\/((-13)\/936)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 8:17 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85056 + -60617. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6091713346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5435, 6662, 7889?\nAnswer: 9116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -9*r - 5*o - 34, -o = -4*r + 17. Solve -7 = 2*u - r*p, 3*u - p = 8 - 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -183 + 200.2. Let z = -17 + q. Which is the smallest value? (a) 3 (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 + -66. Does 73 divide (-1)\/(7\/m)*-365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Suppose a*r = 2*r - 138. What is the remainder when r is divided by -9 - (22 - 57) - 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.955 + 18. Let f = 5911.0550184 - 5911.1. Let z = l + f. What is z rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + 9*n - 31. Let a be v(-7). Solve -5*z + 29 = a*q, 2*z - 21 = -q - 2*z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 9:25 AM?\nAnswer: 356","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -7*i - 2. Let h be 1\/(-2)*2 + i. Suppose 2*x - h - 5 = 0. Solve -2*j = x*j - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/(-32))\/(5\/4). Which is the smallest value? (a) -0.5 (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104 - 6*i - 8*i - 110 - 2*i.\nAnswer: -16*i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57743291*d + 302871776 wrt d.\nAnswer: 57743291","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 c when three letters picked without replacement from {n: 4, p: 1, c: 1, f: 1, a: 3, q: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2. Let p(y) = -5*y. Let b(w) = 2*w. Let a(z) = -17*b(z) - 6*p(z). Calculate a(m(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 205296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-3*5\/(-15)). Suppose 0 = -u*q - 12*q + 108. What is the greatest common divisor of 144 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/5938448 and -95\/2969224.\nAnswer: 5938448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22209*k - 12836*k - 9378*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 220*b**2 + 3989*b + 2374. Calculate f(200).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7819 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 334850\/69 not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/1600 and -49\/3200?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.2 (b) 0.47 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -1045, -4198, -10505, -21010, -36757?\nAnswer: -58790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/4 (b) -1\/4 (c) 0 (d) 2.4 (e) 0.143787\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225 divided by 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sst when three letters picked without replacement from {g: 10, s: 2, t: 1, h: 1}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/9 - 1\/(-3). Let n(d) = -d**3 + 2*d**2 - 2*d + 2. Is n(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + z. Let t = 20 + -21. Let j(n) be the first derivative of -3*n**2\/2 - 1. Give t*j(o) - 3*r(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = k + 4, -3*m + 3*k - 6*k - 3 = 0. Let z(f) = -f**3 - 5*f**2 - 9*f - 3. Let y be z(m). Solve 5*x - 3*r = y - 35, -x - 1 = r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u - 1. Let w be b(-3). Suppose -2*h + 2*y + 6 = -y, -w*y = 0. Suppose -44 = -f - z, h*f + 2*z - 53 - 82 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 29*o**3 - 3*o**2 + 3*o + 3. Let c(z) = -z**2 + 692523*z + 2*z**2 - 692524*z - 1. Determine -a(g) - 3*c(g).\nAnswer: -29*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9399, -12386, -15365, -18330, -21275, -24194?\n\"Answer: z**3 - 2*z**2 - 2988*z - 6410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2. Let d = 1 + 2. Let r(h) = h**3 + 6*h**2 - 8*h - 4. Let b be r(-7). Let q(k) = -k + b + 2*k - d. Give q(l(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 12097*b + 142614. Calculate r(-12).\nAnswer: -2550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 82 in ascending order.\nAnswer: -4, 2, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/361, -9\/7 in decreasing order.\nAnswer: 2\/361, -0.4, -9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4642\/3 + -311062\/201. Put -2, z, -11 in descending order.\nAnswer: z, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11049786229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d - 24*d = -9*d. What is the units digit of (d + 7\/(-4))\/(23\/(-13616))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((12 - 22) + (2 - (-2 - 0)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 0.127457?\nAnswer: 0.427457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -120 + 0?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbbs when four letters picked without replacement from byuybynbsbybbys.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 2*w**5\/13 + 17*w**4\/26 + 4*w**3\/13 - 20*w**2\/13 - 16*w\/13 + 10. Suppose c(u) = 0. Calculate u.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*n**4 - 333*n**3 + 514*n**2 - 98466130*n wrt n?\nAnswer: 360*n**2 - 1998*n + 1028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.137.\nAnswer: 0.0274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.25 + 8.2. Let k = 12 + -12.05. Let x = i - k. Sort 4, x, 0.5 in decreasing order.\nAnswer: 4, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -25*i**2 + 20*i + 14. Let r be n(-10). Let d = 26899\/10 + r. Find the common denominator of -131\/36 and d.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.9316\nAnswer: 0.27948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 8*q**2 - 3*q + 6. Let w be o(-6). Let k = 145 - w. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c**2 - 6*c + 1. Is v(4) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 100*p**2. Let v(s) = s. What is b(v(x))?\nAnswer: 100*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + r + 2080 = 0, 2*y + 1823 = -4*r + 5983. Let h = y + -998. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342206 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 280*x - 3344. List the prime factors of n(44).\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 3*n**2 - 8*n + 118. Let r be p(13). Suppose -17*q = -8*q - r. What are the prime factors of q?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**2 - 47 + 18*q - 17*q - 2*q**2 in the form v*q + s*q**2 + w and give w.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420)\/sqrt(40))\/(sqrt(81)\/sqrt(3)))\/((sqrt(6) + sqrt(72)\/(sqrt(12)*2))\/(sqrt(12)\/sqrt(16) + sqrt(3))).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -520 - 4. List the prime factors of n.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9043919, -9043982, -9044081, -9044210, -9044363, -9044534, -9044717, -9044906?\n\"Answer: l**3 - 24*l**2 + 2*l - 9043898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 316597105 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*130*2\/8 and 6\/21 - (1 + (-1719)\/84).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -186*h + 3. Let f be n(0). Solve f*s + 2 = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/2)\/(-4))\/(2*611\/(-752))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssps. What is prob of picking 1 p and 2 s?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 11*m + 2. Suppose 4*r = -5*u + 27, 1 = -3*u + 2*r + 4. Let f(k) = k + 1. Let b(p) = u*f(p) - v(p). What is b(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-4) + 40\/(-22). Let r = -1053.7 - -934. Let d = r - -120. Which is the third smallest value? (a) d (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31792031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 + 60*y**3 - 4*y**3 + 8*y**3.\nAnswer: 68*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -70?\nAnswer: -6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 2*m + 6. Suppose 15 = -5*k - 10. Calculate b(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -0*q - 4*q. Let b(c) = 3*c - 8. What is the remainder when q is divided by b(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6*w + 184. Let t be 1\/6 - w\/(-12). Suppose -t*r + 10*r = 900. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316*x + 17355 = -303*x. List the prime factors of x.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + 2*sqrt(42)\/sqrt(2))\/(sqrt(48)*3 + sqrt(3))*-6.\nAnswer: -18*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115.919 + 0.081. Let k = r - 116.0129. Round k to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -3.2 (c) 2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*n - 2. Suppose -n*b = -20 - 2. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7767 divided by -800.\nAnswer: -7767\/800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 + -265849?\nAnswer: -265829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = 12*u + 49 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -7 - (-3 + 0 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1590 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2013154115650007\/492 - 4091778283151. Let r = 1625327 + z. Let f = -4\/123 - r. Which is the third biggest value? (a) 0.5 (b) 1\/3 (c) f (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4836964*s**4 - 21*s**2 + 128529*s wrt s?\nAnswer: -116087136*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408930487?\nAnswer: 7, 223, 241, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00261940419 rounded to four dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -615385*k + 5. Let a be n(13). What is a rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 334 + -324. Suppose a*t - 52 = -3*t. Solve t*r = s - 6, 4*s - 2*r = 2*r + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 28*u**5 - 652*u**4 + 3348*u**3 - 6308*u**2 + 4400*u - 816 = 0.\nAnswer: 2\/7, 1, 2, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -38, -3, 5, -10.\nAnswer: -38, -10, -5, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a day?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -2*u + 7, -4*u - 22 + 34 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4. Let i(m) = 3 - 10 + m + 0*m. What is 3*i(o) - 5*p(o)?\nAnswer: 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51008633 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1298 - 5491 = -311*m + 4407. Calculate the least common multiple of m and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**4\/8 + 11229*g**3\/4 - 44877*g**2\/8 - 101061*g\/4 + 50517 = 0. Calculate g.\nAnswer: -3, 2, 3, 7484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7816788 to the power of 1\/2, to the nearest integer?\nAnswer: 2796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 537 and 1979024?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1531 is divided by 95?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 215057 to the power of 1\/2, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 0. Let o be -2*((-2)\/b + -1). What is the derivative of 3 + 1 - 5 - u**o wrt u?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 78 = -315. Let r = 111 - z. Suppose -3*m - m = -r. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15232223 (base 6) to base 11\nAnswer: 334645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -8*m**2 + 5*m - 17. Let a(z) = 9 + 138*z - 47*z - 3 - 47*z - 46*z + 3*z**2. Determine 11*a(x) + 4*o(x).\nAnswer: x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2. Let v(y) = 2*y**3 - 11*y**2 - 588*y + 3493. Let j be v(6). What is the closest to j in 0.1, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.11, 406728?\nAnswer: 406728","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 80*-41.2\nAnswer: -3296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*t**4 - 75*t**3 + 1471*t.\nAnswer: -180*t**2 - 450*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((25\/15)\/((-50)\/(-180)))\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**2 + a**2 - 6*a**2 - 15*a + 43*a**4 wrt a.\nAnswer: 516*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 401001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.794447 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*v - 247*v - 4 = 0, 4*v + 2 = 5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t + 3*t - 12*t + 4 + 0*t to the form g + j*t and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205101 = -6*k - 205167 + 409806 for k.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -x**4 - 3*x**2 - 10 + 25 - 13*x**4 + 38 wrt x?\nAnswer: -56*x**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -801*z - 62270 = -811*z. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2318.8931 + 2319. Round k to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1409130671 to the nearest integer?\nAnswer: 37538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -207\/8 in -974, 161, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -43. Calculate the smallest common multiple of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 + 110 - (-3 + 5 + 5) - (1 + -2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7 + 7 = 0. List the prime factors of r\/2*(2 + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 35 = -0*h. Suppose -d - h = 5*w, 2 = -d + 4*w + 4. Let q(i) = 1 + 0 - 3*i + 0*i. Give q(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13525354 + -2?\nAnswer: -13525400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 - b - 140. Let m be a(-7). Let n be (-2)\/7 - 198\/(-7). Calculate the greatest common divisor of n and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2. Let r(o) be the second derivative of -2*o**3 + 18*o. What is s(r(g))?\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-60)*-5*(-254804)\/(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/2 - ((-9)\/6 + 2). Suppose -2*d = -p*h - 7*d + 7019, 1781 = h - 4*d. Is (5\/((-60)\/h))\/(3\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3330 - 3345. Let y(d) be the third derivative of -d**4\/4 - 4*d**3 - d**2. What is the tens digit of y(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1. Let x(f) = f + 2. Let z(g) = g + 2. Let s(p) = -6*x(p) + 4*z(p). Let i(m) = -4*d(m) - s(m). Let v(w) = -w**2 + 9*w - 1. Determine 9*i(r) - 2*v(r).\nAnswer: 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -202 - -199. Let o(m) = -5*m**2 + 4*m. Let q(y) = 9*y**2 - 7*y. Suppose h = -3*v - 5, 3*h + 3*v = -v - 15. Give h*o(f) + n*q(f).\nAnswer: -2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -42. Let j be b\/(-6)*90\/(-35). Suppose -7*q + 3*q - j = 0. Are q and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216000 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n + 14. Let d be c(3). Suppose 5*f + 2*p - 24 = 0, -3*f + d*p = 4*p - 12. Suppose f*h = -92 + 668. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.52092 nanograms in kilograms?\nAnswer: 0.00000000007952092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -107666.6 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16886 - 13078. Calculate the highest common divisor of l and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(-15) - 324\/(-2430))*16\/(-56)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -11. Is w > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*l + 3*m + 55, 0 = -3*l - 4*m + 123. Let v = 42 - l. Solve 2*i + 9 = 5*j + 5, -v*j + 6 = -3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 708*1\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5150 + 4472*l**2 + 10345 + 120*l - 5170 wrt l.\nAnswer: 8944","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = 6*f - 2*f. Calculate the common denominator of 8\/11 and f\/(-10) - 8\/(-40).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65520 and 974960.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 + 69*i + 1247. Calculate the remainder when 4919 is divided by p(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15180 by -2530.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/4*-6*6\/45. Let c be ((-4)\/5)\/(n\/5). Suppose 2*y = 2*z + 2, -4*y = -c*z - y. Which is bigger: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/2 + (86 - 66). What is the highest common factor of 180 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709160701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -758904 divided by -24\nAnswer: 31621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -122*-2*(-6)\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49475102837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14448 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1217537, -2435076, -3652615, -4870154, -6087693?\nAnswer: -7305232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x = 2*u, 4*x + u + 11 = 0. Let c be -3 + 1*-16*x. Suppose 1 = 2*n - c. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 smaller than 6626\/1855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 495906 to the power of 1\/2, to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(2*q - 2 + 2) - 4*q + 4*q + 2*q + q - 28*q + 3*q - 3*q + 4*q - 2*q + (0 - 4 + 6)*(2*q + 3*q - 4*q) - 3*q + 5*q - q.\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 - 15*x + 1. Let h(t) = t**2 + 7*t. Let m(s) = -3*d(s) - 7*h(s). Suppose 3*a - b = 5*a - 11, -5*a + 5 = -5*b. What is the units digit of m(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -15*u - 5. Let d(p) = -15*p - 6. Let o(b) = -5*d(b) + 6*x(b). Let k be o(-3). What is the greatest common factor of k and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l - 11. Let i be d(-9). Let t(r) be the first derivative of 11*r**3\/3 - r**2\/2 - 2. Let p be t(-1). Solve i = -5*a - 5*v - 8, p = -4*v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-21)*((-1)\/4)\/(10\/(-140)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 5*u**2 - 3*u + 6. Let a = -36 - -30. What is b(a)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + z**2 + z + 3. Let l be m(0). Suppose l*i = 117 - 6. Is 26 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -84 (c) -50 (d) 4 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9012 + 9017 - 4*o**2 - 6*o - 18029.\nAnswer: -4*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 9508?\nAnswer: 9505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = 52 + 8. Let x(k) = -153*k**2 + 81*k + 5. Let v(d) = -d**2 + 2*d + 1. Let r(s) = m*v(s) + x(s). Find the second derivative of r(n) wrt n.\nAnswer: -296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010001110111 - 1?\nAnswer: 1011010001110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46240 and 9740.\nAnswer: 22518880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*u + 3*u - 20 = 0, 0 = 2*r - 4*u + 16. Let t be (-1 - r) + 4\/1. Solve -2*n + 5*n**4 + 4*n**2 + 4*n**t - 3*n**2 + 4*n**3 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 4:02 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 514780.3g?\nAnswer: 514.7803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**3*r**3*s + l**3*s**3 - 13*l**2*r**2*s**3 - 150*r**3*s**3 + 2*r**2*s wrt r?\nAnswer: -6*l**3*s - 900*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-44)*(x**(-2\/5)*x)**(-1\/6))**(-23) assuming x is positive.\nAnswer: x**(-10097\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23188811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -s + 1, 4*a = 8*s - 3*s - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/31902 and -115\/42.\nAnswer: 223314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6383296.\nAnswer: 2, 17, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254928634.\nAnswer: 2, 17, 441053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, h: 1, q: 1}. What is prob of picking 2 m and 1 q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -29\/36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 6*k**2 - 2*k - 8. Let n be a(-6). Find the third derivative of 22*z**4 - 2*z**2 - 6*z**4 - 7*z**n wrt z.\nAnswer: 216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -179038484 divided by 2\nAnswer: -89519242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u = 7*u + 45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 0. Let n be (24\/(-120))\/(6\/10). What is the nearest to n in -2\/3, 2\/7, a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -649498.42 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -3097 = -3170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1008 and 1555596?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18 - -14) + (-145 - -1). Let w = -11 - y. List the prime factors of w.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -7*j + 12*j + 45, 2*j + 54 = -10*s for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4331163 to the power of 1\/2, to the nearest integer?\nAnswer: 2081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-15)\/(-24)*4)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 364 in -3, 2\/3, 10368?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 24*d + 130. Let z be i(-16). Let k = -4 - -6. Solve 5*j = 0, t + z = -0*j + k*j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 0*t + 1\/8*t**4 - 20*t**2 + 0 + 31\/6*t**3. Differentiate d(s) with respect to s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) -3 (c) -3\/40 (d) 33 (e) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -23320773 divided by 7\nAnswer: -3331539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j\/(j*j*j*j**(-1\/5)*j))\/(j**(-3)*j**3) assuming j is positive.\nAnswer: j**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 9*w - 11. Give j(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*a + 5*u - 0*u, 5 = u. Suppose -5*t = -4*r + 421, t + 2*t = -a*r + 205. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2670 a factor of 413372070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 574545, 1149099, 1723651, 2298201?\nAnswer: 2872749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 7*q**2 - 2*q + 7. Let n(p) = -p**2 + 12*p + 3. Let s be n(12). Is v(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(-49*(-14)\/441)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 3.7. Let g = h - 1.8. Which is the nearest to 0.1? (a) g (b) -0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537420 + 3789802 = 17*t - 2196067. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + g = -3*n - 132, n - 3*g - 33 = 0. What is the remainder when 160 is divided by n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.0508.\nAnswer: -0.01016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78534497\/318240 + 7\/35360. Let j = f - 247. Let d = -6 - -68\/11. Which is the closest to -1\/3? (a) j (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14158, 13739, 13042, 12067, 10814, 9283, 7474?\n\"Answer: -139*j**2 - 2*j + 14299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 16. Let c(l) = -l**2 + 10*l + 13. Let w be c(b). Let t be (1 + -1)\/(w - 4). Solve 4 = 4*o - t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 36. Let g = -6 + y. Suppose -3*j + 4*j = 0, -2*t + g = -j. Solve -t*a - 8 = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*i**3*u**3 - 4*f**2*i**3*u - f**2*i**2*u - 8*f**2*u - 838*f*i**3*u**3 wrt u?\nAnswer: 6*f**2*i**3*u - 5028*f*i**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/17297 and -53\/392.\nAnswer: 138376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4870 + -4870. Solve -9 - 1 = -a - 2*x, -a - 4*x + 22 = k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -2.7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 192924 a multiple of 466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80.9 - 90. Let n = a - -9.10000155. What is n rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 6*b + 3*b + (2*b - 2*b - b)*(-4 - 1 + 4) + b - 5*b + 2*b)*(b - 5*b + 2*b) + b**2 - 3*b**2 - b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ijiijijiij.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14566 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 6*w. Let a be c(5). Suppose -o - 3*o + 40 = -4*j, -j = -a*o + 42. Calculate the remainder when 22 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -260\/9. Suppose 4*j - 16 = 2*p, -p = -0*p - 4*j + 12. Which is the smallest value? (a) d (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -101, -254, -381, -470, -509, -486, -389?\n\"Answer: 2*r**3 + r**2 - 170*r + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Let a(s) = 569*s + 377*s + 1 - 953*s. Calculate t(a(d)).\nAnswer: -7*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/825776 and -5\/1125222.\nAnswer: 909179376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 14 - 137*n - 30 to the form s*n + z and give s.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 + 114*c + 1085. Calculate x(-11).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*p - 2*q + 3*q - 93, 288 = -p - 15*q + 20*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*r - 2 = -0, -9 = 3*r. Let h be -11 - -12 - (-1 + 0\/j). Find the third derivative of -s**h + 21*s**2 - 19*s**2 + 20*s**2 + 16*s**4 wrt s.\nAnswer: 384*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i, 109*d - 6272 = 105*d + 4*i. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, h: 1, g: 2, t: 1, v: 1, o: 1}. What is prob of picking 1 v, 1 h, and 1 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 39\/2*4\/(-3). List the prime factors of (-5)\/(-1)*i\/(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 + 15*z**2 + 7*z + 3. Calculate the smallest common multiple of 525 and o(-7).\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-25))\/((-175)\/(490875\/102)).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(147) - (sqrt(147) + -3*(sqrt(147) - sqrt(147)*-2 - sqrt(147))) - (sqrt(147) - -1*sqrt(147)*2)) + 4)*1)**2*-4.\nAnswer: -21232 + 1344*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*p**2*x**5 - 2*p**2*x**3 - 3*p**2*x**2 + 12*p**2 + 7*p*x**3 wrt x?\nAnswer: 420*p**2*x**2 - 12*p**2 + 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**4 - 390*i**3 + 1260*i**2 + 3510*i - 10935 = 0.\nAnswer: -81, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 13*q**2 - 13*q - 12. Let h be u(14). Determine g so that -374 + 0*g + g**h + 3*g + 370 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 386 * -425.\nAnswer: -164050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -44c2a6 - 0?\nAnswer: -44c2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17068620 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z - 72. Calculate the remainder when 35 is divided by c(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4*n**(3\/20))\/(n\/n**(-4\/17)*(n\/(n\/(((n*n**(3\/32))\/n)\/n)))\/n))**(-23) assuming n is positive.\nAnswer: n**(-301599\/2720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -5*x**4\/2 - 11*x - 15. Let w(g) be the first derivative of f(g). Let p(o) = 2*o. What is w(p(q))?\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 33*z - 66*z - 35 - 30 + 36*z.\nAnswer: 3*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one eighths of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54627710 to the nearest integer?\nAnswer: 7391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 234765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vunvrunnuvvnuuvnv. What is prob of picking 1 v and 1 n?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i*(i**(1\/4)*i)\/i)\/i*i)**(-12\/7) assuming i is positive.\nAnswer: i**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 43*i - 44*i + (1 - 1 - 2*i)*(6 - 3 - 4).\nAnswer: -83*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 3. Let j be m(-2). Solve i = j, 0 = -f + 2*i + i - 19 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -6\/11, 2, -1\/6 in increasing order.\nAnswer: -6\/11, -1\/6, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 59*c + 190 = -2*a - 2*a, -2*c + 20 = 30 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-4) + 323080\/(-12320) + 25\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-7) - 3244770\/924. Let f = w - -3513. What is the common denominator of f and 77\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.9279465 weeks?\nAnswer: 9353.70072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 6 = -3*a, 5*d = 5 + 10. Solve 12*f = 15*f + 3, 0 = -2*m + 3*f - a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 9*p - 10.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2024*a**3*s**2 + 4*a**3*s + a**2*s**2 - 2*a*s + a + s**2 - 34 wrt a.\nAnswer: 12144*a*s**2 + 24*a*s + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 4, 2 in descending order.\nAnswer: 4, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 143180573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 26*y**2 + 24*y - 29. Let m be s(-25). Let q be (0*(m + 3))\/(-3). Solve -2*l + 6*l = q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.6 and 932263?\nAnswer: 932262.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52137 + 52137. Let f = -0.3 - -0.2. Let v = -0.3 + 3.3. What is the closest to f in s, -3\/2, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -32b11a8 - -5?\nAnswer: -32b11a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 30771*y**3 - 45 + 30574*y**3.\nAnswer: -197*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45764 is divided by 9152.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**4 + 280*p**3 - 3627*p**2 - 8120*p - 4205. Let o(c) = 3*c**4 - 280*c**3 + 3628*c**2 + 8120*c + 4205. Let u(s) = 2*b(s) + 3*o(s). Factor u(f).\nAnswer: 5*(f - 29)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*d + 25 = 0, -3 + 17 = 2*m - 3*d. Solve -m = 5*q - 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 310 and 7533?\nAnswer: 75330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (2*(sqrt(34)\/sqrt(2) - sqrt(17)))**2 + sqrt(17) - (-1*sqrt(17) + -2) - ((sqrt(17) - sqrt(17)*-3) + -3)*-3.\nAnswer: -7 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-17))\/((15\/(-30))\/((-5)\/410))?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -24498 not equal to -24494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2663264 and 13\/1830994?\nAnswer: 29295904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4 - 4*f + f + 1 - f**3 + f**2 + 2*f**2. Let k be 0 + (-2 + 2)\/1. Suppose k = -5*b - 3*r + 21, b = 4*r - 2 - 3. Give j(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -78*q**2 + 72*q**2 - 2 - 141*q**2 + (5*q - 2*q - 4*q)*(2*q - 2*q - 2*q).\nAnswer: -145*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5294.7 * -2.2.\nAnswer: 11648.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -2, -55.9, -0.0506?\nAnswer: -0.0506","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 69. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2366*x - 2268*x = -2352 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02178598 times -1?\nAnswer: 0.02178598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1\/1720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3\/(-21) - 106\/(-56))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -8. Let j = p + 4.7. Which is the nearest to 1? (a) -1\/2 (b) 0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 11. Let o be r(-8). Let j be -1 + 1 + o + -2. Let a = -1 + j. Round a to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5324 divided by -44.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.09, -5.4, -2.0355?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44356 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 4*k**2 + 2*k**3)*(2*k - 6*k + 3*k) + (3*k**3 - 3*k**3 + k**3)*(4*k - 11*k + 2*k).\nAnswer: -7*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyrceypeccrrphe. What is prob of sequence hccc?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 2*l = 14*i - 508, 2*l = -2*i + 260. Is i < 128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -691279, -691277, -691275, -691273, -691271, -691269?\n\"Answer: 2*l - 691281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13496*a**4 + 0*a**3 - a**3 + 13442*a**4)*(2 + 0 - 4).\nAnswer: 108*a**4 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -3*u**2\/8 + 78369*u\/4 + 10829205\/8 = 0.\nAnswer: -69, 52315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.123 + 0.03. Let l = 0.049 + x. What is l rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 6*q**2 + 6*q + 7. Let f be z(-5). Let m(g) = -3*g**2 + 2*g - 4. Let r be m(f). Let a = -12 - r. Let w(k) = -k**3 - k**2 - k + 4. What is w(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -215819 + 2968\nAnswer: -212851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/3 + 82*p**3\/3 + 706082*p**2 + 809378318*p\/3 - 811496644\/3 = 0. What is p?\nAnswer: -581, 1, 1202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 11:28 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o + 6. Let f = 26 + -28. Let v(g) = -3*g + 5. Let j(r) = f*k(r) + 3*v(r). What is j(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 1661*m**6\/6 + 5*m**2\/2 - 119*m + 534. Find the second derivative of u(s) wrt s.\nAnswer: 33220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171) + (sqrt(171) - -3*sqrt(171))*6)\/(sqrt(36)\/(sqrt(16)\/sqrt(4))).\nAnswer: 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 2\/17, 1676, -0.5, 1\/70?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by (25\/(-10) + 2)*-32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 474880832?\nAnswer: 474880833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (288592 + 799*k - 288592)*(-1 + 3 + 8).\nAnswer: 7990*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1407 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eau when three letters picked without replacement from {a: 2, i: 3, u: 2, e: 1, o: 9}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1616114 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**2\/2 - 94464*g - 16015530 = 0?\nAnswer: -62806, -170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17997 = -102*l + 1168965. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**5\/35 + c**4\/14 - 4*c**3\/3 + 23*c**2\/7 - 3*c + 385. Factor t(i).\nAnswer: (i - 3)*(i - 1)**2*(i + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 - 100*g\/3 + 416\/3.\nAnswer: -(g - 4)*(g + 104)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 51 + 44. Suppose 3*z = i - 53, -4*z + 7*z - 4*i + 59 = 0. Let u = z + b. Solve 4*v + s + 6 = -s, -u*v = -5*s + 33 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 11*g - 14. Let p be (10\/(-6))\/(105\/(-378)). Determine m(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06321932286 to three decimal places.\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*s + 51*s + 26*s + 27*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*b = -13 + 3, 5*v + 4*b = 50. Suppose -v*o + 54 = -o. What is the smallest common multiple of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-12) - 5\/(-2) - -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 288 + -391. Let i = 104 + x. Solve -13 = 3*y - i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12595996 divided by 644.\nAnswer: 19559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**5\/12 + 5*n**4 - 120*n**3 + n**2 + 20*n. Factor g(o).\nAnswer: -5*(o - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + o - 263 + 81 = 0, -2*f = 5*o - 82. Let d(p) = 3*p - 2. Let z be d(-6). Let q = z + f. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*b + 68. Let n be 4\/(-6) - b\/(-12). Solve -2*z - 5*i + 50 = 3*z, 20 = n*z - i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**8\/112 + 3*l**7\/10 - 88*l**2 - 5. Factor r(k).\nAnswer: 3*k**4*(k + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.6 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-25)*(-23)\/(-23)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 12:19 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*i**2 + 3 + 39*i**2 - 2 in the form v*i + x*i**2 + t and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2766, 0.5, 3128\/3?\nAnswer: 3128\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 3. Let u be -1*(1 + 4\/(-6)). Let r be (2\/(-4))\/((-11)\/(-4)). Which is the second biggest value? (a) u (b) m (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 667*q**2 - 59 + 20 + 121*q**2.\nAnswer: 788*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(95) + sqrt(95))*5 + 2*sqrt(95)*3)\/((sqrt(5) - sqrt(15)\/sqrt(3) - sqrt(5))*-2 - (-1*sqrt(180) - sqrt(180))).\nAnswer: 3*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1455 + 1485. Let c = -1.7 + 1.8. Which is greater: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52626 and 3042.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6801239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 903761.1 years?\nAnswer: 90376.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (3 + (-14 - (-8 - -1))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 + b + 6. Let x be s(0). Is (4\/x)\/((-8)\/(-1956)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**4\/4 + 2*y**3\/3 + 9*y**2\/2 + 2*y - 24. Let s be t(4). Suppose g = -s*g - 7. Is g < -11\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -4378 (c) 3 (d) 8 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5068 and 38372?\nAnswer: 268604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -668*j**5 + 2*j**2 - 601 wrt j.\nAnswer: -40080*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -1. Let n be 111\/21 + (-5)\/(-7) + r. Is n < 7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-8))\/((-1)\/48). Suppose -24 = -3*o + g. Suppose -4*t + 24 = 4*p, -6*p + 3*p = 4*t - o. Which is the nearest to -0.1? (a) t (b) 2\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220190 is divided by 12952?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -4934 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1744 and -247.257.\nAnswer: -247.0826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 143329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4\/4 + 5*h**3 + 5*h**2\/4 - 15*h\/2.\nAnswer: 5*h*(h - 1)*(h + 2)*(h + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*r + 25024 = 171*r. What is the remainder when r is divided by 41?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6*v = -3*v + 2646, f = 4*v + 1328. List the prime factors of f.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 410?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -2, 1, -0.01?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 325282460 to the nearest integer?\nAnswer: 18036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -57*-1*(-8)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 3*u - 30, 4*u + 21 = -k + 23 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 q when three letters picked without replacement from iaaiaiaiidiqiqia.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-515)*(-6)\/32. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0053 and -0.8?\nAnswer: 0.7947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 2, x: 1, s: 1, q: 1}. What is prob of sequence xs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 11 - (-6 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v. Let a(q) = -q + 10. Calculate a(z(j)).\nAnswer: -j + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80892 and 4.\nAnswer: 80892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 46 = -2*n, 36 = -3*z + 2*n + 95. Let s(t) = 16*t + 99. Let a be s(-6). Differentiate 21*y**2 + a*y**3 + 10 - z*y**2 wrt y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 - 76. Suppose -n*w + 4 + 8 = 0. Solve 3*t + 10 = 3*x + 1, -w*t = -x + 18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -13*z**5\/120 + z**4\/2 + 11*z**3\/6 + 2*z. Let b(x) be the second derivative of h(x). What is the derivative of b(r) wrt r?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 31551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -1a39?\nAnswer: -1a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-99)\/27)\/11)\/(3\/99)*-1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -4.\nAnswer: -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1228630 and 13136890?\nAnswer: 170779570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**4 + 4*a - 4*a + (-5 + 0 + 4)*(-7*a + 7*a - 5*a**4).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 74.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.068 - -25744777.\nAnswer: 25744777.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43333*d - 56800*d + 20717*d + 8758*d - 52233*d.\nAnswer: -122891*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - r**2 + 10*r - 2. What is u(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1055 - 2*q + 2115 - 1063 - q**2)*(1 + 4 - 2) in the form n*q**2 + d + t*q and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15902945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxx when three letters picked without replacement from {x: 3, h: 4, n: 10, v: 2}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1589? (a) -1\/7 (b) -4\/5 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + 15. Suppose 4*a + p = 11*a. Suppose a*y - y - 9 = -3*s, 4*y = -s + 12. Solve d - c = -6, s = 3*d - c + 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 6*u - 1. Determine n(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -803*u**3 - 793*u**3 + 1605*u**3.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = -l, 0*f - 3*f = -2*l + 24. Let n(k) = k**3 - 5*k**2 - 6*k - 2. Let g be n(l). Let o be 7\/(((-2)\/1)\/g). Solve o = -2*h + 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -443, -1554, -2677, -3818, -4983?\n\"Answer: -x**3 - 1104*x + 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + -13 + 34 + 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/395304 and 43\/48.\nAnswer: 790608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2 - 4. Let j(c) be the third derivative of -2*c**6\/15 + c**5\/60 - c**4\/24 - c**3\/6 + 8*c**2. Calculate j(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*r + 95 + 319 + 423 = -72 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 0. Let a be s\/(-9) - 8\/6. Let d(q) be the third derivative of -q**4\/24 + q**3\/6 - 9*q**2. Calculate d(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.14 + 9.14. Let k = -8.9 + n. What is the third smallest value in 3, k, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -5\/12, 2\/7, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 35*t = 33*t + 5517, 2*t = 0. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1998 divided by -9\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50602?\nAnswer: 2, 25301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 359039926*s*v + 419207130*v wrt s?\nAnswer: 359039926*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 6.4. Let d be ((-6)\/(-4))\/(2\/44). Suppose -j - d + 5 = -5*l, -5*l = -2*j - 31. Which is the closest to 0.1? (a) j (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x + 2. Let i be y(-2). Suppose -6*o + 19 = 1. Let r = i - o. What is the greatest common divisor of 45 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8830\/8 - 2\/(-8). Let z = g + 142. What are the prime factors of z?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4269, 8540, 12811, 17082, 21353, 25624?\n\"Answer: 4271*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 14*w**2 - 5. Let t(x) = -3*x**2. What is k(t(b))?\nAnswer: 126*b**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d**(3\/4)*d*d\/(d*d*d**(-11\/2)\/d) assuming d is positive.\nAnswer: d**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 12) to base 13.\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008166 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 12, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - a + 385 = 0, -2*a = -3*o + 390 + 1. Let p = -45 - 17. Let t = o + p. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/3)*g)\/g)**(4\/17))**(-13\/6)\/(g**(-2\/21)\/g**(-3)*g**(-4)\/(g\/(g**4*g))) assuming g is positive.\nAnswer: g**(-2929\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -13, 6, 3 in increasing order.\nAnswer: -13, -3, -2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3\/5 - 2176*y**2\/5 + 548362*y\/5 + 24089644\/5 = 0. Calculate y.\nAnswer: -38, 563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 1. Let k(p) = -24 + 22 - 27*p + 14*p + 15*p. What is -2*k(g) + 3*x(g)?\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -722, -694, -656, -614, -574?\n\"Answer: -z**3 + 11*z**2 + 2*z - 734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 879 - 879 - 10*s**3.\nAnswer: -10*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -24.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/19)*x)\/x**(-2))\/(x*x**(4\/5)*x**7\/x) assuming x is positive.\nAnswer: x**(-446\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 10:35 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -46, 4\/7, 1, -2\/13, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = -0. Let a = 142 - 155. Does 10 divide (-5 + 5)\/(-4) - a*f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6 + 6 = 0. Suppose -5*o - 27 = -14*o. Suppose o*b - r = -2*r + 1, 5*b + 3*r = -1. Solve b = -c - t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2. Let c(j) be the first derivative of -27*j**2 - 2252. Calculate c(d(p)).\nAnswer: -216*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 47724992.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-462)\/132*(-1 - 1\/1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4816582207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(9 + 217\/(-28)). Let s(q) be the first derivative of 5\/3*q**3 + 0*q**u + 0*q**5 + 0*q - 1 + q**6 + 0*q**2. Find the third derivative of s(z) wrt z.\nAnswer: 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.97 + 0.03. Let h = v - 19. Let p = -6.36 - h. What is p rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/12)\/((-1)\/4). Let t = x + 3. Suppose -v = v - 3*s - 29, 5*v + s - 47 = t. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 7*u - 168. Let b be s(10). Suppose -f - 422 = -b*t, -13*t = -10*t + 5*f - 607. Are t and 209 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5646\/111038 - 3950\/(-59).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (12 - (8 - 9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stwwetwfewttteef. What is prob of picking 1 w and 1 s?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 3*p + 1. Let z be 10\/4 + 2\/4. Let m be u(z). Let i be 2 + -4 - 644\/(-299). Is m greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51.921 - 43.88955599\nAnswer: 8.03144401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2983860 and 596772.\nAnswer: 2983860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 185\/11 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 f when three letters picked without replacement from hfppponfhh?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -16. Let o(k) = 3*k**2 - 6*k + 8. Let z(w) = -w**2 + w - 1. Give n*o(f) - 6*z(f).\nAnswer: 3*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 519990 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/i**5)**(-20)\/(i**(2\/9)\/(i**(2\/7)\/i)*i**4\/((i**(2\/3)*i)\/i)) assuming i is positive.\nAnswer: i**(3511\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1079900?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10339 and 844?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 42. Let i be ((-6)\/(18\/(-15)))\/(1\/u). Suppose i*n - 310015 = -5*c, 2*c + 3*c + 2*n - 310006 = 0. Round c to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*r**5 + 2*r**4 + 5*r**3 - r**2 - 871*r + 2 wrt r?\nAnswer: 240*r**2 + 48*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.037256839 to 5 decimal places.\nAnswer: 0.03726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a millimeter in micrometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.05 (b) 28\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8692020345 + 1.98.\nAnswer: 2.8492020345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**4\/12 + 11*r**2 - 287*r. Calculate h(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*w**2 + 2 - 1 + 2*w - 13*w**2)*(2 - 2 - 5).\nAnswer: -20*w**2 - 10*w - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 76?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 254116068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -768 + 789. Solve -4*p + 5*b + 8 - j = 0, -5*b + 28 = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 17*s**2 - 9*s - 16. Let a be v(8). What is a rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 9*g**2 + 12*g + 117. Calculate n(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*d + 4575 = 10*d - 735 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 + 4195\/(-210))*(-49)\/14?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 12 = -r - 10, 4*r = 4*a - 8. Let o = -4 + 7. Suppose -3*j - o*i + r = 0, 0 = j - 3*i + 4 - 13. Solve 20 = j*w + 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -0*k - 3*o - 118, 0 = -4*k - 4*o + 104. What is the common denominator of (-41)\/(-15) + (26 - k) and 16\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 191\/6, 7 in decreasing order.\nAnswer: 191\/6, 7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-9))**32)**(2\/5))**(-10\/11))**28 assuming a is positive.\nAnswer: a**(32256\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 257 times 2629?\nAnswer: 675653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*v**3 - 762*v**3 + 137 - 137.\nAnswer: -553*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -488 - 5576*n**2 + 990 - 502 to b + j*n + u*n**2 and give u.\nAnswer: -5576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 599 + -573 + (-5 - 45)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2. Suppose 5*h - 58 = -3*t, -11 = -2*h + 2*t + 9. Let m(o) be the third derivative of o**5\/10 + 4*o**2. Determine h*z(b) + 4*m(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17322611 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epre when four letters picked without replacement from ceyrreccerepcp?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 891228052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4092 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -92139, -92348, -92707, -93216, -93875, -94684?\n\"Answer: -75*h**2 + 16*h - 92080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1871 - 2282 - 1244 - 1762 + 1147 + 460)*(-2*q**3 - 11*q**3 + 3*q**3).\nAnswer: 55520*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4a - 2f?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.35956 rounded to zero decimal places?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -19*g**8\/28 + g**4\/6 + 3*g**2 + 38*g. Find the third derivative of f(v) wrt v.\nAnswer: -4560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 + 175 - 14*i**2 - 456.\nAnswer: -14*i**2 - 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*c**4 - 3 + (20 - c - 2*c - 18)*(1058 + 1202 - 1942)*(-2*c**3 + 8*c**3 - 3*c**3).\nAnswer: -2864*c**4 + 1908*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 7*g**2 + 3*g + 7. Calculate x(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 3:51 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3147 - -3141.8. Which is the closest to v? (a) 6 (b) 1\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/588 and 85\/71064.\nAnswer: 497448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10812, 10814, 10816, 10818, 10820?\nAnswer: 10822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/325*-52)\/((-1)\/1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 2*y - 16, -5*f + 4*f = -3*y + 8. Let d be 0 + 9 + (f - -9). Solve 2*p = -3*p - d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11950 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-485)\/(-245) + -2). Let a(q) = -q**2 + 71. Let f be a(0). Let k = x + f. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20547934 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 12:57 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 9, 5, 4517 in ascending order.\nAnswer: -2, 4, 5, 9, 4517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*d**2 - 22*d**2 + d**3 + 2*d**4 - 2 - 30*d**2 as a*d**4 + o*d**2 + v + w*d**3 + n*d and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91754 + -91741. Let j be 1*791 - (-4 - -2). Calculate the highest common divisor of j and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 6.4. Let y = 1.1 + t. Let g = 2.5073 - y. Round g to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 24*i**2 + 54. Let h be g(24). What is the highest common divisor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -171, -180, -193, -210, -231?\n\"Answer: -2*f**2 - 3*f - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6816 - 3971. Let s be y\/(-25) + 2\/(-10). Is ((-4)\/6)\/(4\/s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 5. Let h = 7 - 6.7. Let s = h - 0.7. Which is the nearest to -1? (a) -0.1 (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*d + 357 = 3*l, -3*l + 3*d = -342. Let b = l + -55. Let m = -44 + b. Calculate the lowest common multiple of 16 and m.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 13 = 3*i - 20, -5*k = 3*i - 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.8452 to one decimal place.\nAnswer: -26.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 57842428009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (2 + 0 - 3). Let g be (4 - 3)\/(t\/17). Let a = g + -9. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 at most -8265\/488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and -2.602931?\nAnswer: -3.6441034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 5*o**2 - 5*o - 3. Let w be d(6). Let p = 22 + -6. Suppose 0 = g - w*g + p. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 42*s + 348. Give n(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-6*(sqrt(363) + -1))**2 - (1 + sqrt(363) + 1)).\nAnswer: -803*sqrt(3) + 13104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2118 = -v - 4*z, 3 - 12 = -3*z. What is the greatest common factor of v and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, y: 7, l: 1, h: 3}. Give prob of picking 3 y and 1 d.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**7\/42 + b**3 + 7*b**2. Differentiate d(y) wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2812*g = 2837*g - 5704*g + 55 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-297924)\/185 - 2\/(-5). Round x to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110*g**2 - 7*g + 16?\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + i - 24 = 0, 4*m = -3*i - 6 + 34. Let f(u) be the third derivative of -1\/28*u**m - 2\/21*u**3 + 0 - 1\/210*u**5 - u**2 + 0*u. Factor f(q).\nAnswer: -2*(q + 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 24*a**2 + 53*a + 48. Is 3 a factor of u(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12*1\/4*40\/15. Suppose -q*w - 15 = -5*w. Let r(c) = 3*c + 5. Let v(s) = -5*s - 7. What is w*v(x) - 7*r(x)?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81339 is divided by 10153?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -232101233?\nAnswer: -232101230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3))**28\/((s*s**(-4))\/s*s)**(-36) assuming s is positive.\nAnswer: s**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75092247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -50, -5012, -7, 7 in descending order.\nAnswer: 7, -1, -7, -50, -5012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 1:11 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14686000981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -933, -930, -927, -924, -921?\n\"Answer: 3*q - 936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - 119\/14) + 4. Let h be 3\/(-2)*(156\/63)\/13. What is the second biggest value in 5, h, -0.01, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1417 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 9. Suppose 2*i + i + 2*q = 91, 5*i - 145 = -k*q. Calculate the greatest common divisor of i and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 8:52 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -13. Suppose -5*u - x = 2*n - 49, 0 = 4*n - 2*u - 134. Calculate the remainder when 60 is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 4\/9, 0.06789, 2\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 3*x + 1\/30*x**6 + 0*x**3 + 0*x**2 + 0*x**4 + 1\/20*x**5 + 0. Solve r(p) = 0 for p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 315?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*h - 3 = 0. Let q = 13 + h. Suppose -6*d - 20 = -q*d. Solve 4*i + 5*m = -28, i - m - d = -3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5506, 5717, 6062, 6535, 7130, 7841, 8662, 9587?\n\"Answer: -g**3 + 73*g**2 - g + 5435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/18869 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.37 - 2.2. Let s = 605 + -596.98. Let p = w - s. Round p to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 8*u - 2. Let p(k) = 8*k - 3. Let q(t) = -4*j(t) + 3*p(t). Let r = 2 - 4. Calculate the remainder when 27 is divided by q(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189504 divided by -28.\nAnswer: -6768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 2. Let s(b) = b**3 - b - 5. Let r(f) = -10*q(f) + 4*s(f). What is the second derivative of r(k) wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 2\/11 (c) 1944\/11 (d) -8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 12.414?\nAnswer: 11.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**4 - 19*m**3 + m + 1. Let u(r) = -4*r**4 + 246*r**3 + 2823*r**2 - 2*r - 2. Let z(p) = -2*h(p) - u(p). Find the third derivative of z(l) wrt l.\nAnswer: 48*l - 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14074571, -28149143, -42223725, -56298323, -70372943, -84447591?\n\"Answer: -z**3 + z**2 - 14074568*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*x - 89, 3*z - 61 = -2*x + 6*z. Let u(g) = 15 - g**2 - 8*g**2 + g**3 + 7*g - 29 - 2*g**3. Calculate the remainder when x is divided by u(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.021758 - 0.0222. What is w rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 a when two letters picked without replacement from {k: 5, d: 3, w: 3, a: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*w**2 - 8*w**2 + 8*w**2 as u + q*w + a*w**2 and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 + 2 - 2 + (0*l**2 + 0*l**2 - 2*l**2)*(-8*l + 8*l + 10*l).\nAnswer: -19*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k + 71*k**3 - 77*k**3 - 4 + k**2 - 10*k in the form n*k**2 + x + d*k + c*k**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*2\/3 + 4. Let o be 2*b\/4 + -25001. Round o to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 781.096665 to the nearest integer.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3 + o)*(7*o**2 - 12*o**2 - 22*o**2)*(-3 - 3 + 5) + (-o + 4*o - o)*(5*o - 5*o - 3*o**2).\nAnswer: 21*o**3 + 81*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 193167593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 149*y**2 + 1 + 88*y**2 - 159*y**2 to the form o*y**2 + n + j*y and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**4\/24 + k**3\/6 + 2*k**2. Let j be g(0). Solve 5 = -4*f + j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4310 or -0.134?\nAnswer: 4310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 66135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/39706 and 109\/22?\nAnswer: 436766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07142 - -0.60732. Let f = l + -0.53. What is f rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 5*a - 4. Let h = 7 - 7. Suppose -d - 2 - 2 = h. What is u(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5169608?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-150)*(-7)\/(-2940)*-60.\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*h - 108, -5*j - 5*h - 8 = -148. Let g(s) = s + 4. Let k be g(0). Solve -3*v + n = -2*n - j, -k*v + 5*n = -36 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from ysyyysttybtn?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 9:15 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.2482928 millennia?\nAnswer: 24.82928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + m + 134160, -4*m - 70588 + 177940 = 4*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*178 + (-40)\/(-10) is divided by 51?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 136, -0.3 in decreasing order.\nAnswer: 136, 0.6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 52853789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 268889773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c - 195. Let b be v(11). Are -1352\/9 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z + 95 - 89 + 25 + 65 as r*z + g and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2276630?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 668117.3 from -2042.\nAnswer: -670159.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 7.3 (c) -1\/7 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*13899\nAnswer: 2779.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 780, 784, 806, 852, 928, 1040, 1194, 1396?\nAnswer: 1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 - -94.86. Let m = w - -0.14. Let c = -1 + -4. Put c, m, 0.2 in descending order.\nAnswer: m, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*b - 461*b + 251*b.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 10:04 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 589 and 1707575201.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 10. Let k be t(9). Let f be -1 + k\/(1\/(-30)). Suppose 5*z - 41 = f. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 73, 87, 115, 163, 237, 343, 487?\n\"Answer: t**3 + t**2 + 4*t + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r**3 - 231*r**3 + 84*r**3 - 84*r**3.\nAnswer: -214*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10761, 2\/7, -3\/7, -4, 2, 0.2?\nAnswer: -10761","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 6:04 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 117876 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18500 and 153550?\nAnswer: 1535500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -565?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 291e + -3?\nAnswer: 291b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*l - 23*l + 13*l = 329 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 3*o**2 - 6*o - 6. Let d be w(-4). Let h be (-3)\/d*70\/21. Sort h, -4, 1 in descending order.\nAnswer: 1, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + v - 1. Let s be o(1). What is the tens digit of 2 + -5 + (s - -64)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1304753 - 366939\nAnswer: -1671692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (11 + -8 - -6) - 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 - s**3 + 16*s**3)*(s - s + s).\nAnswer: 17*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 - 789*d**2\/2 + 1180*d - 786.\nAnswer: (d - 786)*(d - 2)*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 10*r**2 + 9*r + 20. Let v be u(-9). Let l(o) = 2*o**2 - 3*o - 3. Does 31 divide l(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + -4*-2*sqrt(832))*3 - 5*(1 + (sqrt(832) + 1)*-6))*-6)**2.\nAnswer: 964224*sqrt(13) + 87374628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -g, -84 = 4*t + 16*g - 20*g. Which is the nearest to -3? (a) t (b) 2\/21 (c) 2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -472 by -35.\nAnswer: 472\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/14)*y**(-4\/3) assuming y is positive.\nAnswer: y**(-47\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 2:49 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 4, -1\/4, -265, -4\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92663238.\nAnswer: 2, 3, 137, 139, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -24 - (-10218)\/429 - (-1)\/(-11)*-35. Let c(y) be the third derivative of -y**4\/4 + y**3 - 2*y**2. Give c(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696cb (base 15) in base 8?\nAnswer: 4132601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -57*u**2 + 0 + 5\/12*u**4 + 1\/15*u**5 + 0*u**3 + 0*u. Solve i(z) = 0 for z.\nAnswer: -5\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 448 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3468 divide 49928796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 4918 + 522 = 0. Let g(b) = -39*b**3 + 2*b**2 + b. Let s be g(-1). Calculate the highest common divisor of z and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-5*sqrt(90)*2 + sqrt(90))\/sqrt(10))\/(-6*-2*sqrt(3) + (sqrt(3) - (sqrt(6) - sqrt(6)*-1)\/sqrt(2))) + 5).\nAnswer: -10 + 18*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3. Let g(t) be the third derivative of t**6\/120 + t**4\/12 + 28*t**2. Give -3*f(d) - g(d).\nAnswer: 2*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7147 - 1404.\nAnswer: 5743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - -3) + 1392 + -1324\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((-5 - -2) + 9 + -11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 8*w + 2. Let q be x(-7). Let n(u) = -u**2 + 10*u - 4. Let l be n(q). Suppose 90 = 5*t + l*m, t = -2*m - m + 26. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 26*t - 27. What is s(12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 13*l - 69. Suppose -l*y + 24 = -312. Calculate the greatest common factor of y and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1932 and 33?\nAnswer: 21252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805351809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7163 and -4.89.\nAnswer: -35027.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8852119 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/5)*l*(l\/(l*l*(l**(1\/6)\/l*l)\/l))\/l)**(-8) assuming l is positive.\nAnswer: l**(116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34983 and 563661.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8560\/(-175) + 213\/(-2485)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 2*m + 14, 3*t - 13 = 5*t + m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 9:17 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 + 595\/9. Let g = -84 + 85. Which is the third smallest value? (a) g (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159 - -160.6. Let u = t - 1.5. Which is smaller: -0.15 or u?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 7) to base 4.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/5, 0, 2\/11, -174, 7.24, -10, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 60 = 2*d, 225111 = -4*q + 4*d + 225091 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 3 + 8)*((5*k - 2*k - 5*k)*(0 - 2 + 0) + 4*k - k - k + (-2 + 0 + 1)*(-k + 3 - 3)).\nAnswer: 98*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.01, 5, -0.4, 6.1838, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 9. Suppose g + 25 = -q*v + 60, 5*g = 3*v + 85. What is the remainder when 58 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4, 3*v - 2*x - 2*x + 7 = 0. Suppose 0*p = -m - 2*p + 34, v*p + 57 = 3*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. Let t be ((-1300)\/(-78))\/(6\/(-9)). Calculate the lowest common multiple of (t\/u)\/((-1)\/2) and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13721 + 86234?\nAnswer: 72413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 2. Let w be j(6). Let f = 4 - w. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.28477 - -247.28477. What is the closest to 1\/2 in x, 0, -5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*c - 5*l, -2*c - 17 = -c + 4*l. Suppose -i + 2*g = -3, -c*i + 4*g + 1 = -4. Let r = 0.2 - 1.2. Is r less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14\/645 - 416\/645. Let z = 255\/418 + -9\/19. What is the biggest value in -4, z, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22737*c**2*t**2 + 2*c**2*t - 3*c*t**2 - 6415*c*t + t wrt t.\nAnswer: 45474*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 12*u**2 + u + 9*u**2 + u**2 to r*u + y + v*u**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - y - 32 - 19*y**2 - 522*y**2 + 13 as s*y + u*y**2 + c and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25068077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from ggbccgrbbccgbcc?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/441 and -5\/27846.\nAnswer: 194922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2430601, -4861204, -7291805, -9722404, -12153001?\nAnswer: -14583596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/16*(-6)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -8. Suppose p + 116 = y*s, -p - 10 = p. Calculate the remainder when s is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34171, -68409, -102645, -136879, -171111?\nAnswer: -205341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 338877*i*p**3 + 3*i - 37*p**2 + 1222 wrt p.\nAnswer: 2033262*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 6:09 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5)**18 assuming m is positive.\nAnswer: m**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(6\/5)*o)\/(((o\/((o*o**1)\/o))\/o)\/o))\/(o**7\/((o*(o\/o**(1\/2))\/o)\/o)))\/((o**1)**(5\/12)\/(o\/o**0)**50) assuming o is positive.\nAnswer: o**(2777\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 9*y**2 + 3*y. Give h(-9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1131, -1116, -1103, -1092, -1083, -1076, -1071?\n\"Answer: -u**2 + 18*u - 1148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -482971 + -267019.\nAnswer: -749990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**4\/6 + 12*q**2. Let f(w) = -4*w**2. Give f(z(k)).\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 15 + (-274)\/40 + 30\/(-75).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, s: 1, w: 3, d: 1}. What is prob of sequence wds?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -29045*x - 7770. Let w(p) = -269*p - 72. Let y(m) = 12*n(m) - 1295*w(m). Let r(s) = s. What is r(y(f))?\nAnswer: -185*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53028.\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -66115955*s**3 + 61084733?\nAnswer: -198347865*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/20 and (-1)\/((-36)\/8)*(-19)\/4.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/77 at most 179879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 339.1 (b) 148 (c) 8\/7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 70 = 7*c. Calculate the remainder when -1*((-16)\/(-4) + -57) is divided by c + 0\/(1 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1507*i + 310*i + 375*i + 367*i + 304*i + 315*i.\nAnswer: 164*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 213*s**2 - 6*s + 1. What is the hundreds digit of o(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 8*r**2 + r + 9. Let a be d(-8). Suppose 3*f + 4*p + a = 18, f - 11 = 4*p. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 35?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-39 - -10) - -19.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 1:05 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23936 = 3*r - 14*r. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -61 or 66492?\nAnswer: 66492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5491 and 11741203?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6*q + 324. Suppose 0 = 4*y + p - 108, 5*y - 3*p = 71 + q. Suppose 5*z - 784 = 616. What is the highest common factor of y and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, u: 1, d: 2, p: 2, b: 1}. What is prob of sequence dpp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -9.8. Let q be (9\/(-4))\/(6\/4). What is the second smallest value in 4, s, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaemmmaamem. What is prob of picking 1 e and 1 a?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -11 + 3 - -24 - 8.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 6:31 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 89735 or -3\/8?\nAnswer: 89735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2400 and 450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 999314 is divided by 497568?\nAnswer: 4178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-462)\/55)\/(-6)*-5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 3. Let k be b(-2). What is the derivative of -23*w - k + 0 - 11 wrt w?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (14 - 664\/44)*1\/2.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -886*n + 105434. What is b(119)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*y = 4*c - 8, 2*y - c - 4 = 0. Suppose -y*h = w + 4, -4*w = 2*h - 6*h + 16. Let v = 11 + w. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 16*y**3\/3 - 7*y**2\/2 + 3*y - 57. List the prime factors of f(6).\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -619, -1003, -1387, -1771, -2155?\n\"Answer: -384*a - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8d795 (base 16) to base 11\nAnswer: -366408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*k - 32 = -28*k. Let v be ((-6)\/4)\/(15\/(-160)). Is 19 a factor of (v\/(-3) - -4)*135\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 5. Let p be h(3). Suppose -x + 33 = p*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*m = -17*m - 1452. What is the smallest common multiple of 4 and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**4\/6 - 17*n**3\/6 + 22*n**2. Let z(l) = -l + 4. Give -6*k(b) - 26*z(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 3*k + 2. Let z be s(-1). Solve 3 = h - z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7*m**2. Let y(f) = -123*f. What is h(y(n))?\nAnswer: 105903*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -8. Suppose -54 = -3*l - k. Is 508\/l - (-12)\/(-42) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -24. Suppose -m - c - c + 19 = 0, -64 = -4*m - 5*c. What is the remainder when m is divided by (1\/o)\/(1\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-7 - -15) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -8*s - 4. Calculate the remainder when (10 + -94)\/4*-2 is divided by 77\/5 + s\/10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 18. Suppose 0*k = k + 5*f - 43, 20 = 4*f. Let x be b(k). Solve -2*t + 0 + 6 = x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 3 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2120122 (base 3) in base 4?\nAnswer: -131120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-3))\/((-1)\/3). Suppose -5*k = -4*s - 211, -168 = -4*k + 3*s - 0*s. Let p be 0 + ((-6)\/k - 0). Is p at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w - 16. Determine y(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2648.3 + 2648.6. Which is the closest to -0.1? (a) -21\/13 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1064 = 4*j + 3*w, 4*j + 1056 = w. Let h = -21 - j. Suppose -7*o - h = -9*o. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1e (base 16) to base 3\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -173 + 178. Solve 3*o - 18 = s*x, 3*x - 10 = 5*x - 4*o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 - 3*q**3 - 1182*q + 1177*q + 0*q**3. Let o(x) = -7*x**2 + 7*x + 5*x - 3*x + 6*x**3. Give -7*f(w) - 4*o(w).\nAnswer: -3*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 878 and 21511?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.3 and 3113?\nAnswer: 3115.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/173 in 2\/39, 2\/9, -2\/3?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 60*g - 49. Let y be l(-29). Calculate the greatest common divisor of y and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635517?\nAnswer: 3, 241, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 358049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*z - 7293 = 475*z - 765 for z.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-378)\/6930)\/(130\/(-572))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 9:20 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4350 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -162 (base 11) to base 13\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -0.3 (c) -3 (d) -1\/3 (e) 312 (f) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4 = k, 0*s = 4*k - 2*s + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u - 113. What is m(-37)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -7288.\nAnswer: 7288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 107, 114, 125?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22822099*g**2*n**3 - 2*g**2*n**2 + g**2*n - 2*g**2 - g - n**3 + 156*n**2 + 101 wrt n.\nAnswer: -136932594*g**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 8:19 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = -h, 3*h + 5*q + 3 = -1. Let l be 0 - -1 - (-1)\/h. Factor -2\/3*a**2 - l*a**4 + 0 + 0*a + 4\/3*a**3.\nAnswer: -2*a**2*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 + 86*w**2 + 20*w - 17. Let s be y(11). Calculate the highest common divisor of 69 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(2*sqrt(448) + sqrt(448)) - -1*(sqrt(448) + -2 + sqrt(448))) + 5)*3)**2.\nAnswer: -5616*sqrt(7) + 681489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3362934929 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**2 + 0 + 0)*(f - 7*f + 4*f) + (7 + 10 - 2)*(-3*f**3 + 0 + 0) + 2*f**3 + 0*f + 0*f to g*f + i*f**2 + k + q*f**3 and give q.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*w - 358265, -w + 31771 + 39882 = 5*v. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-4 + 0) - 0. Suppose -m + o = m. Factor 6*r**2 + 4 - 5 + 3 + 6*r + m*r**3.\nAnswer: 2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1181*w = 1162*w + 19228. What is the highest common divisor of w and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24284\/(-65) - (1 - 2))\/(54\/(-180)). What is the highest common factor of k and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2987 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100568 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210895 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -3*u + 6, 2*g + 2 = 7*u - 6*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o - 6. Let d(m) = 48*m - 40. Let y(g) = -3*d(g) + 20*i(g). Let w(b) be the first derivative of b**3 - 1. Determine w(y(f)).\nAnswer: 1728*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-2 - -5 - 4). Let o(d) = 2*d**2 + d + 1. Is o(b) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - z + 1. Let d be a(2). What is the remainder when (2 - 208\/12)\/((-1)\/3) is divided by (-2)\/(-9) - 142\/d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + -6. Let a = 20 - 32. Let p = a - x. Which is bigger: -4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1254 and 6.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2542*o**2 - 1775*o**2 - 1481*o**2 as g*o + l + h*o**2 and give h.\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8531 - 8530.7. What is the second biggest value in -43, -5, c, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1714*r + 50484 = 89*r for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (41 + -63)) + 20 + 1.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -35*p**2 - 1. Let r be o(-1). Let z = r - -15. Let u = z - -42. Is u at least 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/(-20))\/((-33)\/48). Suppose 4*n + 5 = -n. Is o at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -751, -3052, -6893, -12280, -19219?\n\"Answer: -m**3 - 764*m**2 - 2*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4184303*p**2 - 5211491 with respect to p.\nAnswer: -8368606*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4051.6899 + 4052. Let n = f + -0.0101. Which is the second smallest value? (a) n (b) -32 (c) 0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 2*x**2 - 3*x - 3. Let r be z(-3). Let d = r - -5. Solve 2*n + 24 = 4*q, q - 3*n - 1 = d*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - sqrt(7)) + 5)**2 + 3.\nAnswer: 10*sqrt(7) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) -6 (c) 6\/35 (d) -4 (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 2*t - 4. What is m(-5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*k + 68, 0 = -0*k + k + d - 13. Let o be 23\/(-7) + 4\/k. Let u be ((-12)\/(-10))\/(o\/(-4500000)). What is u rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 2423273?\nAnswer: 4\/2423273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - f + 252, 0 = -j - 4*f + 23 + 40. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.45261 years to centuries.\nAnswer: 0.2345261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 9 + 1 - 524*l.\nAnswer: -524*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 89885, 179757, 269629, 359501, 449373?\n\"Answer: 89872*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -349 greater than or equal to -367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 - 3)*(-r**4 - 3*r**4 + 2*r**4) + r**4 + r**4 + 0*r**4.\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + x**2 - 4*x - 4. Let j be m(-3). Suppose q + 3*q - j = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76255 + -33506. List the prime factors of m.\nAnswer: 7, 31, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2695, 2689, 2683, 2677, 2671, 2665?\n\"Answer: -6*x + 2701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/103044 and 109\/5952?\nAnswer: 1648704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 2531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -2. Suppose 0 = 3*w - 7 + m. Solve 0 = 3*j - w*j + 2*s + 9, -4*s = -2*j + 22 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 0, 10, 28 in descending order.\nAnswer: 28, 10, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - -1.55. Let n = -37.35 - u. Let w = n + 37. What is the second smallest value in w, -4, -3\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262565 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*z = -65*z + 70. Suppose -6*x + 28 = -812. Calculate the highest common factor of z and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14940\/40*(-2)\/(-1). Suppose 52*p - 43*p - a = 0. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3912 and 32?\nAnswer: 15648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/16 + 111\/(-12). Let k = 13 + h. Let g(w) = 4 - 11*w**3 + 0 + 2*w**k - 2*w - 3. Let u(n) = 8*n**3 + 2*n - 1. Give -6*g(j) - 7*u(j).\nAnswer: -2*j**3 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2458 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61405875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*p - 73. Let h = 40 - p. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 277071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2278*a + 793*a**2 + 827*a**2 - 1618*a**2 as i + n*a + o*a**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7732 in -0.6, 1, 0.3, -3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0004 and 6458257196.\nAnswer: 6458257196.0004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15303336 a multiple of 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1107188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*k = -1, -172*k + 168*k + 5 = 5*w. Put -5, w, 27 in ascending order.\nAnswer: -5, w, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -380*v - 3534. Let t(c) = 11*c + 101. Let r(h) = -6*l(h) - 209*t(h). Calculate the remainder when 182 is divided by r(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 11 - 11 = 0. Let m = 97159 + -97074. What is the remainder when m is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 2\/235 (c) -2 (d) -1\/4 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 745*i**3 + 908*i wrt i.\nAnswer: 4470*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 6*v + 2. Suppose 0 = 2*p + 161 - 385. Let j = p - 94. What is the remainder when j is divided by o(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35.99999898 + -36. What is v rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-11)*i)\/i*i)\/i**(2\/25)*i\/i**(-2\/3)*i**1 assuming i is positive.\nAnswer: i**(-556\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2212, 9001, 20300, 36097, 56380, 81137, 110356, 144025?\nAnswer: 182132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w**2 - 15*w**2 - 10*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90706106?\nAnswer: 2, 45353053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, 54, -0.5, -36, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnee when four letters picked without replacement from nenneeeneene.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**4 + 31215*r**3 + 562746*r**2 + 1000608*r = 0. Calculate r.\nAnswer: -16, -2, 0, 10423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(55) - (sqrt(220) + sqrt(55) + sqrt(55)))*1)\/sqrt(5).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 3\/7, 0.1, -13, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 21. Let y be r(-11). Let t(w) = -4*w - 21. Let m be t(y). What is the greatest common divisor of m and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101011011101010 (base 2) to base 15\nAnswer: -1b026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -16. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1038 divided by 5\nAnswer: -1038\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -1373.53?\nAnswer: 1373.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1022368 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**5 - 10*m**4 - 39*m**2 + 2 wrt m?\nAnswer: 60*m**2 - 240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19675 - -4?\nAnswer: 3.80325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-13398)\/5445*-1 + 24\/(-10)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9, -5, 5624 in decreasing order.\nAnswer: 5624, 9, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23292 + 23289. Let o(y) = -y + 1. Let z(q) = q**2 + 4. Determine a*o(c) + z(c).\nAnswer: c**2 + 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-37 + 6 - -27 - (-2 - 8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2892.52 - -0.2\nAnswer: -2892.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 84006520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12601\/18 + 701. Let q = -3823\/5346 + -14\/243. What is the common denominator of q and b?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/68 and 46\/78081.\nAnswer: 312324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15926.\nAnswer: 2, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/13 (b) 462 (c) -0.17 (d) 2\/5 (e) 5 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477344827?\nAnswer: 477344827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 1)*1 + -8. Let v(a) = a**3 + 3*a**2 + 4*a**2 + 5*a + 0*a**2. What is the units digit of v(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 52*g**2 - 11*g - 464. What is the lowest common multiple of 4 and p(51)?\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001020296 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2632853ng to tonnes.\nAnswer: 0.0000000000000002632853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h = -210. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnqqqwnnnnqwqrq. What is prob of sequence nn?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -22, 0, 37.\nAnswer: -22, -2, 0, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + 3 + 1767\/666. Let d = s - -1\/74. Let x = 0.2 - 0. Sort -1, x, d in ascending order.\nAnswer: -1, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20123720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 200.658001 to 0 decimal places.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/5 + 620\/50. Let z = s - 8. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/24230610 and 83\/6.\nAnswer: 24230610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -204*f. Let b(t) = 7*t**2. Calculate b(r(y)).\nAnswer: 291312*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 1:39 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10879651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5792, 0.5, 2\/123?\nAnswer: 0.5792","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13498673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 1. Let j(g) = -5*g - 2. What is 4*a(d) + j(d)?\nAnswer: -d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/34*124\/310?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -6*(-3 + -5 + (sqrt(1458)*2 - sqrt(1458))))**2.\nAnswer: -16200*sqrt(2) + 54988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 17*t - 42534. Suppose -t = -u + 29. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3687\/56 - 530\/7. What is the common denominator of (8\/54)\/(2\/30) and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in -2, 3, -2\/3, 14?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86\/17 - -355\/34. Calculate the common denominator of 9\/16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49792 divided by -2\nAnswer: -24896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 460.21 * -0.0937\nAnswer: -43.121677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 42*a. Let q(x) = -278 - 13*x**2 + 278. Determine q(v(m)).\nAnswer: -22932*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 - 39. Does 23 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 110 + -20435?\nAnswer: -20325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/7 (b) -2 (c) 9249 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 2*i - 1. Let g be 2\/5 + (-39)\/(-15). Calculate the remainder when 11\/((-11)\/(-36)) + 4 is divided by q(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/3*(1 + 2). Let d be (-34)\/(-14) + (2 - (-238)\/(-98)). Suppose -2*y = -d*u + 6, 4*y = -5*u + 9 + 6. Solve 5*q = 4*c - 14, b*c + y - 2 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 1 = -17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 104 = -24*w, 70*w - 16 = 65*w - 2*t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57550 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: What is the remainder when 470667 is divided by 156862?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3101, 3034, 2967, 2900?\nAnswer: 2833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*k**3 - 68*k**3 - 83*k**3 + 95*k**3.\nAnswer: 98*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*w - 4*w. Let x be ((-4)\/2)\/2 - w. Suppose -140386 - 217599 = -2*j + 5*y, 0 = -x*j + 4*y + 715988. What is j rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3776, 14447, 38920, 84095, 156872?\nAnswer: 264151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) - ((sqrt(847) + -1 - sqrt(847)) + sqrt(847) + sqrt(847) + sqrt(847)))*-4 + 4)**2.\nAnswer: 54208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5 - 12)*(-2 + 2 - 2*a)*(-7*a + 3*a - 12 + 5*a).\nAnswer: 42*a**2 - 504*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -192 + 191.808. Let n = 0.108 - y. Let p = -1 - -1. Sort -1, n, p in increasing order.\nAnswer: -1, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 569*w**6\/2 - 67*w**3 + 3*w + 4139. What is the third derivative of c(u) wrt u?\nAnswer: 102420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69629 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11055 and 825?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46*w + 1166?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 36860616.71 to the nearest 1000.\nAnswer: 36861000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 242b (base 12) to base 7\nAnswer: 14600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by 2?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7133 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*k - 46 - 1, -2*k + 33 = -3*t. Suppose 1 = o - 4. Suppose -k*p + 144 = -o*p. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -19 - -12 - -9 - -5570?\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4197, 8458, 12709, 16944, 21157?\n\"Answer: -o**3 + o**2 + 4265*o - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - 31 - (189 - 190)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/(-2))\/(-1 + (-306)\/(-304)) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*j - 42*j + 405*j + 163*j in the form o*j + m and give o.\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g**2 - 4*g**2 + 2*g**2 - 11*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*l = 4*l + 28, -4*l = n + 22. Let f(x) = -3*x - 2. Let w be f(n). Suppose -w*v + 52 = -24. Calculate the remainder when v is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -4, 0.305, 3, 9, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 7*i**2 - i - 7. Let f be b(-7). Suppose -v + 4 = f, 64 = -0*s + 4*s - 2*v. What is the remainder when s is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 12. Suppose 2180*g + 32 = 2196*g. Solve r = -g*w + 2*r - 6, -j*w - 4 = r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4*n - 12 = 0, -r = -0*r - 2*n - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 128. Let a = c - -438\/5. What is the third smallest value in 3, -3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 9, h: 5}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkklkkklkkklkkkkk.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 751, -1 in ascending order.\nAnswer: -5, -1, 0, 751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 2*q**2 - 7068*q + 246*q**4 + 7062*q + 1 in the form r + x*q**3 + u*q + m*q**4 + c*q**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, b: 2, k: 2, d: 4}. Give prob of sequence kubd.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 + 2*c**2 + 0*c**2. Suppose -11*w = -9*w - 4. Let p(i) = 18*i**2 + 0*i**w - 6*i**2 - 10*i**2. Calculate m(p(a)).\nAnswer: 20*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -13*a**4\/24 + 23*a**3\/6 + 2*a**2 - 164*a. Let j be b(1). Let u(y) = 6*y + 4. Let m(i) = -11*i - 7. Give j*u(h) + 6*m(h).\nAnswer: -6*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 315 and 45?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 4\/35*t**5 + 3*t + 4\/21*t**3 + 5\/21*t**4 + 2\/105*t**6 + 0 + 0*t**2. Let w(k) = 0. Calculate k.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 b when three letters picked without replacement from tttttttbtkbkttjtttt?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1.3, -2 in decreasing order.\nAnswer: -0.2, -1.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/5))**(-17)\/(c\/c**(1\/5))**(-45) assuming c is positive.\nAnswer: c**(129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4016 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) 13809.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**3 + 6*f**2 - 6*f + 1. Let j(z) = -5*z**3 - 5*z**2 + 5*z - 1. Calculate -5*g(b) - 6*j(b).\nAnswer: 10*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -0.3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 94421547 and 33.\nAnswer: 94421547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*l - 10. Let d = 18 - l. Solve 2*b + 0 = d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 5*c**2 - 4. Let u(b) = -3*b**3 + 14*b**2 + 11. Suppose -2*m - v + 37 = 0, -120 = -5*m + 2*v - 41. Determine m*w(h) + 6*u(h).\nAnswer: -h**3 - h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + (sqrt(6) - -1*sqrt(216)) - (sqrt(6) + 1*sqrt(24)))\/(sqrt(128)*-1 - (sqrt(98) + sqrt(98)*-2 + sqrt(98))).\nAnswer: -5*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45159137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*b - 17 - 40. Solve -s - 4*s - 5 = 5*v, 0 = -s + 5*v - b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77.5 + 68. Let h = 12.28 + i. What is h rounded to one dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = r - 4*y, -3*r - 21*y + 20*y = -15. Suppose 2*d + 3*a - 8 = 2, -3*d = 3*a - 15. Solve r = -4*n - 5*k - 5, -n - d = 2*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 11. Let j = o + 0. Let v = 2099\/9 + -233. Is j at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 188212583.9999966 + -188212419. Let v = y - 165. What is v rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*w - 4*x, 7*x + 28 = 2*w + 3*x. What is the remainder when 471*(80\/24)\/w is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (5 + -1 + sqrt(720) - 4*(-2 + sqrt(720) + sqrt(720))) + 1*-2*sqrt(720) + 2 + sqrt(720) + -4)**2.\nAnswer: -2688*sqrt(5) + 46276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**5\/180 - 17*j**4\/24 - 15*j**3 - 705*j**2. Let q(f) = 0. Calculate f.\nAnswer: -45, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+45235.3\nAnswer: 45234.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 16, 2 in decreasing order.\nAnswer: 16, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 - 10*b**2 + 95*b + 100.\nAnswer: -5*(b - 4)*(b + 1)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3200 = 5*s - y, 0 = 4*s - 3*y - 616 - 1944. Is 55 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 9. Let f be (129\/45 - 2\/10) + o. Which is the third smallest value? (a) f (b) 0.1 (c) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, -3, 11302, 2 in increasing order.\nAnswer: -3, -1, 2, 9, 11302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 2*b - 70. Let s be -1 - (1 + 0) - b. Let f be (-2)\/s*(-1 - 1). What is the second smallest value in f, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.093246 * 341\nAnswer: -31.796886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 z when three letters picked without replacement from {l: 1, x: 5, p: 1, d: 3, z: 4, t: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 a factor of 95692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 - 72*l**2 + 358*l + 432. Let r(w) = -4*w**3 + 143*w**2 - 717*w - 864. Let d(x) = 7*i(x) + 4*r(x). Find t such that d(t) = 0.\nAnswer: -1, 8, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 - 9 - 12*t**4 - 13*t**4 + 5*t**4 wrt t.\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.1, -0.08, 121\/2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -2*t - 215. Let i = t + -10. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -2\/33 (b) -0.2 (c) 81 (d) 0.239\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.8413161 and -22.6878.\nAnswer: -20.8464839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n + 30*n + 5 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*sqrt(112))**2*-5 + 4 + (1*((sqrt(112) - (sqrt(112)*-3 - sqrt(112))*-1) + -4))**2.\nAnswer: -4012 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 - 95 + 182 + 124)*(1 + 3 + 2)*(3 - 3 + 2*v) as w + f*v and give f.\nAnswer: 2280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -2.131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + ((sqrt(405) - 2*sqrt(405))*3)**2.\nAnswer: 9*sqrt(5) + 3645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, 12, 31, 58?\n\"Answer: 4*d**2 - d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 269621 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-597)\/(-54) - 1 - 3*1 and -2 + 4 + 237\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.00365 and 34089.\nAnswer: -124.42485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 100 + (-97 - -61).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11*n**3 + n**2 - 47*n + 243. Let k be w(5). Sort 3, -1, 1, k in descending order.\nAnswer: k, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f. Let g(s) be the first derivative of s**3\/3 + 3*s**2\/2 - 1. Suppose 2*v = 2*q + 26, -4 = 5*q + v + 19. Determine q*d(p) + g(p).\nAnswer: p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 - ((-13 - -4) + -4 - 0). What is the highest common divisor of 4437 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24108628?\nAnswer: 2, 29, 207833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66441 divided by -3.\nAnswer: 22147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.6293nm to centimeters.\nAnswer: 0.00000156293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -772*x = j - 773*x - 4, -j = x + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**3 - 5*y**2 - 2*y + 31. Let k be r(-5). Let t = -452 - k. Solve 0 = 5*w - t*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 6096434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - w = -0*k + 3, 3 = -w. Suppose k*l + 108 = 4*l. Suppose -5*u - 18 + 2 = -4*o, 29 = 5*o - 4*u. What is the highest common divisor of o and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -79*c - 1487. Give q(-19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 7*d - 10. Give b(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3374*q - 6985*q - 3610*q.\nAnswer: -7221*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 3*k - 8. Let w be p(-8). Suppose 0 = 2*j - 6*j + w. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -338*i + 6386. Let y be r(19). Let l(g) = g**2 + 40*g + 106. What is l(y)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91.62 + 75.7. Round j to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -39*k + 7. Let m be l(0). Let s(g) = -3*g - 1. Let i be s(3). Let o be (-76)\/i + (-6)\/10. Calculate the highest common factor of m and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0871 rounded to three dps?\nAnswer: 0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 2 (b) 3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139414 is divided by 4646?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/20 and (-3)\/(45\/12) - (-9386)\/7020.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3156444, -3156445, -3156446?\nAnswer: -3156447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 12*g**2 - g. Let k be d(-1). Suppose 0 = -4*a + 3*n - k + 41, -a - 5*n - 16 = 0. Solve -4*q + 2*h = 16, 0 = 7*h - a*h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -1)*(0 - 4\/8). Suppose d*p + 3*h = 4*p - 575, -2*p = -4*h - 300. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/2964*-19 + 125\/1110.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 302318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -509*r + 1514 - 3358*r - 1514 to the form m + q*r and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 smaller than 0.76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157025 by 31405.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -430*k + 2592. Is 26 a factor of m(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1896 divided by 6.\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-80)\/112)\/(10\/452))\/(4\/14)*1?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**4 + 22*z**3 + 1243*z**2 + 2018*z + 800 = 0.\nAnswer: -16, -1, -2\/3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -551*o**2 - 168*o - 10. Let c(f) = -554*f**2 - 166*f - 12. Let j(v) = -6*a(v) + 5*c(v). Find the second derivative of j(y) wrt y.\nAnswer: 1072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096788 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1. Let h(w) = -2*w. Let l(d) = h(d) - 4*j(d). Let n(b) = 0 + 0*b + 2*b + 3. Determine 3*l(g) + 4*n(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**4\/4 - q**3 - 5*q**2\/2 - 2*q. Let y(l) = 3*l**2 + 5*l + 4. Suppose -9*z + 2*z = 35. What is z*f(r) - 6*y(r)?\nAnswer: -3*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27199240?\nAnswer: 2, 5, 679981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - (6*sqrt(77)*-1 - sqrt(77))) + sqrt(77))\/(sqrt(7) + sqrt(42)\/(1*sqrt(6))) + (sqrt(66)*-1*6)\/(sqrt(150) + 1*sqrt(150)) + 1)**2.\nAnswer: 39*sqrt(11)\/5 + 16831\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 96103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 867\/(-6)*(3 - 5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3 + 192355*m**2 + 3077872*m + 12311744 = 0.\nAnswer: -8, 192371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36666 and 40581.\nAnswer: 55108998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 2:05 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sphjsohhposjsjss. What is prob of sequence oo?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58758025 or -58758024?\nAnswer: -58758024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2585 divided by -5.\nAnswer: -517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 10:28 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k. Let j be z(0). Differentiate -l + j + 6 - 2 wrt l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 238\/198 - (-252)\/(-2268)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -301\/122 - 2\/61. Calculate the common denominator of 0 + 1 + 6\/20 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -29*t - 3. Let w(m) = -34*m - 4. Let j(z) = 7*n(z) - 6*w(z). Suppose 3*l + 20 = -2*l. Determine j(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b**2 + 7*b**4 - 2*b**4 + 7*b**2 - 2*b + 2 - 4*b**4 + b**3 to i*b**2 + l*b + k + v*b**3 + f*b**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-163 - -1)*(-18)\/(-36). Let o = g + 122. Find the common denominator of 34\/5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*y - 3*q + 16, -5*q + 5 = 2*y. What is the greatest common factor of y and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22.06707 + 0.06707. Which is the closest to -8\/3? (a) 3 (b) r (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/5 - 6*x**4\/5 + 22*x**3 - 274*x**2\/5 + 252*x\/5 - 16 = 0.\nAnswer: -10, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f + 39 = 5*w, -28 = -2*f - 4*w. What is the least common multiple of 2 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -55, -83, -111, -139?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000025283857 to six dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 3. Let j(s) = 2*s + 3. Let v(m) = 5*h(m) - 6*j(m). Let n = 862 + -868. Give v(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (-20)\/((-2440)\/(-6))*(-32197)\/99.\nAnswer: 1\/183","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 83*n**2 + 730*n - 8. What is d(73)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/18 and 20\/72106551.\nAnswer: 144213102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/243 - 152\/1215. What is the nearest to -2 in 2\/15, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -423*m + 1321. Calculate c(0).\nAnswer: 1321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696\/5 - 683\/5*u**2 + 1502\/5*u - 6\/5*u**3 = 0 for u.\nAnswer: -116, 2\/3, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = d + 26 - 21, 0 = -2*n - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8216, -16325, -24552, -32903, -41384?\n\"Answer: -i**3 - 53*i**2 - 7943*i - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*k - 36, k + 21*v - 16*v - 11 = 0. Solve 17*o = -k - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5 + 11. Solve -14 = 5*b - m, -2*m = -2*b + 4*b - s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3\/3 + 832*j**2 - 36958*j\/3 - 13152 = 0?\nAnswer: -1, 16, 1233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28773.603ms?\nAnswer: 0.47956005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**4 + 2*d**5 - 1 + 4*d**4 + (3*d**3 + 3*d**3 - 4*d**3)*(2*d - 2*d + d**2) - 2*d**5 + 4*d**5 - d**5.\nAnswer: 5*d**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -358*g**3 - 179*g**2 - 179*g + 179. Let i(p) = p**3 + p**2 + p - 1. What is -h(x) - 179*i(x)?\nAnswer: 179*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 4*y - 87993 + 88153 = 0, g + 77 = 2*y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313489, -313494, -313499, -313504, -313509, -313514?\nAnswer: -313519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 534380100 rounded to the nearest 1000000?\nAnswer: 534000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -116, -123, -132, -143, -156?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 2. Let t be ((-6)\/6)\/((-1)\/3). Let v(w) = w - 2. Give t*v(q) + 2*s(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**2. Let i(q) = -5*q + 5 + 13*q - 4*q. Let g(r) = r + 1. Let n(w) = 15*g(w) - 3*i(w). Give d(n(l)).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -2\/7 (c) 0.2 (d) -38957 (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 10:29 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 726 + 660. Let b(n) = 16*n**2 - 6*n - 26. Let c(a) = 3*a**2 - a - 5. Determine q*c(v) - 2*b(v).\nAnswer: v**2 + v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*m + 9. Let y be 21\/(-49) + 11\/m. Let l = 0.9 + -1. What is the closest to l in 4\/5, y, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2 (b) -1\/37 (c) 0.44 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -166 - -363. Suppose 5*j = -3*v + a, -177 = -6*j + j + 2*v. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 5*l + 10. Determine w(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/209 and -51\/2299?\nAnswer: 2299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 40*z + 4. What is m(-19)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 179416121137 and -2.\nAnswer: 179416121135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-2\/3))\/(y*(y**(-9)*y)\/y))\/(y**(5\/4)*y**(2\/3)\/y*y) assuming y is positive.\nAnswer: y**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-12)*(-1)\/6. Let n(t) be the second derivative of -1\/60*t**6 + 0*t**2 - 1\/8*t**4 - 2*t - h*t**3 + 0 - 3\/40*t**5. Find p, given that n(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 111?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 + 254. Suppose -3*z = -730 + r. Suppose z - 822 = -5*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14185 + -14165. Let d = 2 - 0. Solve -d*l + 5*c = 14, -c = 4*c - j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -23. What is the highest common divisor of 220 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.09 - -5.09. Let s be (2\/7)\/(36\/(-84)). What is the third biggest value in s, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -2*t**3\/9 - 32*t**2\/3 - 40*t + 150. Suppose k(g) = 0. What is g?\nAnswer: -30, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10eca + 9?\nAnswer: 10ed4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - 25 - ((-1 - -2) + 14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3093669*k - 3093669*k + 11*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 808 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r - 5. Give t(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xucx when four letters picked without replacement from {x: 4, c: 2, u: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 - -0.088?\nAnswer: 162.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16 - 323 + 698*u**4 + 37 wrt u.\nAnswer: 2792*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = -407 + 343 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - 2) + (-3)\/(-3). Suppose k - 3*b = 5*k - 18, -5*k = -5*b - 5. Sort k, 2, g in decreasing order.\nAnswer: k, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1954 + 1.1954. Let m(i) = -i - 7. Let j be m(-11). Suppose 0*s - j*a = -s + 5, -36 = 3*s + 5*a. Is s equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 3:01 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/7*n**2 + 20\/7 - 16\/7*n = 0. What is n?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.157 - -3.157. Which is smaller: x or 57\/16?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-10)*130\/13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10971f (base 16) to base 2.\nAnswer: -100001001011100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52\/7 or 0.2?\nAnswer: 52\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 42\/5 of a kilogram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-1 - 234\/(-222)). Let z = s - -188. Solve -w = -3*a + 4 - 5, 8 = -4*a + z*w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f + 7. Let p(t) be the first derivative of -t**2\/2 + 1. Let u(o) = 4*g(o) + 4*p(o). Let r(h) = 3*h - 5. Give -28*r(a) - 5*u(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -10*j**2 + 3*j + 2. Let m be f(-1). Let z = 14 + m. Solve 0*c + 6 = z*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*p - 3. Let o(v) = -v**2 - p*v + 1 + 2*v + 0*v. Let s(h) = h**2 + 5*h - 1. Calculate -5*o(n) - 4*s(n).\nAnswer: n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 15056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c28076b - -2?\nAnswer: -c280769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1812 and 8985?\nAnswer: 5426940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110 + -6494274251.\nAnswer: -6494274361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10)\/(-65) - (43416\/(-26) + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 9:11 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-5181.3\nAnswer: 2072.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddg when three letters picked without replacement from {t: 2, p: 1, d: 4, g: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**6\/320 + 9*p**5\/40 + 285*p**4\/64 - 361*p**3\/8 - 51*p**2. What is u in x(u) = 0?\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*(-1 + 33\/15). Let w = 3 + j. What is the remainder when 15 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i + 467 + 264 = 0. Let j be 2 + -47 - (4 - 2). Let c = i - j. Solve 2*t - 2*l = -4, 10 = -c*l - l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4 + 1690*v**3 - 5025*v**2 = 0. Calculate v.\nAnswer: 0, 3, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from {q: 1, e: 3, l: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49921 - 14926358\/299. What is the common denominator of -14\/23 and k?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -156 - -159. Suppose -3*w + 95 + 176 = -4*l, 0 = -2*w - k*l + 158. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c\/c**1)\/c)*(c\/(c*c*c\/c**(1\/2)))\/c assuming c is positive.\nAnswer: 1\/sqrt(c)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -55 (b) 2 (c) 0.3 (d) -0.017 (e) 1\/108 (f) 5 (g) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f - 3. Let b(g) = 10*g - 33. Let q(c) = -19*c + 57. Let w(n) = 5*b(n) + 3*q(n). Give 9*p(u) + 4*w(u).\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57021213?\nAnswer: 3, 17, 1118063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 928?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 3326 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1168179?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 divided by 3867003?\nAnswer: -79\/3867003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03237 + -0.03239309. What is t rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 4. Let s = -1.2 + n. Let i = -0.35 - 0.05. What is the nearest to 1 in s, 3, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2285 - 20566\/9. Sort 65\/4, -3\/4, w, 0.\nAnswer: -3\/4, w, 0, 65\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4790?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((31944\/990)\/(-121))\/((-4)\/50)*(-18)\/14?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9281 is divided by ((-175)\/(-240) - (-4)\/(-64))\/(2\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -3*w**5\/80 + 9*w**4\/16 - 3*w**3\/4 - 21*w**2 - w - 199. Factor y(o).\nAnswer: -3*(o - 7)*(o - 4)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 72 + (-44446)\/497?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -243*v**3 - v**2 - 2*v - 1. Let p be i(-1). Let d = -4833\/20 + p. Find the common denominator of d and -6 + 3 - (-99)\/60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1567575.\nAnswer: 3, 5, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -0.2, -2\/7, -1\/4, 112 in decreasing order.\nAnswer: 112, 21, -0.2, -1\/4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**2 - 243370*b - 2961447845 = 0. What is b?\nAnswer: -24337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 + 0*r**2 - 2*r**2)*(0 + 2 + 1)*(-1 - 4 + 32) as p*r + u + t*r**2 and give t.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*v + 5*c, v + 2*c + 5 = -3*c. Suppose v = -0*i - i + 11. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1260 and 83\/420.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109.1 - 101. Let g = d + -8. Let v = -15 - -14.9. Put v, g, -0.3 in increasing order.\nAnswer: -0.3, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 99608.2ml?\nAnswer: 99.6082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a + 208. Give k(-40).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 - 93.49185923?\nAnswer: -176.49185923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 399696 and 66616.\nAnswer: 399696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -2\/5, 1.36, -1\/45, -2 in decreasing order.\nAnswer: 1.36, -1\/45, -2\/5, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11179843*g**2*w**3 + 30649897*w**3 wrt g.\nAnswer: 22359686*g*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53451 by -2.\nAnswer: -53451\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 898 - 834. Calculate the greatest common factor of d and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d - 12. What is m(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3 - 4*c**2 + 842*c - 836 = 0. What is c?\nAnswer: -22, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -33. Let l = 224 + -157. Let u = k + l. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2747298 is divided by 102.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*i - 8 = 0, 3*i = -3*m + 5 - 14. Let k be ((-18 - -17)*(-1 + 1))\/1. Find the common denominator of 340\/24 + k - m and -20\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1)*15\/75\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.476858 millennia in centuries?\nAnswer: 44.76858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 485088 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: Is ((-22)\/11 + 2)\/(-1) + 799003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15928)\/(-242) - 4\/(-22). What are the prime factors of (-3098)\/(-22) - (-1 + 54\/s)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 339 + -235. Does 26 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -597*l - 564*l - 585*l.\nAnswer: -1746*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/21))\/(n\/(n**(-8)*n)))**(-14) assuming n is positive.\nAnswer: n**(298\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 431669?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 3 = -4*f. Let m be 52\/12 + 2\/(-6). Suppose m*w - w = 21. What is the least common multiple of w and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6319443737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*f - 39988*f**4 + 79987*f**4 + 22*f**2 - 39997*f**4 + 2 - 2*f**3 to l*f**2 + v*f + t + u*f**3 + y*f**4 and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mddfddhfuhf. What is prob of sequence uf?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -12*x**2 - 16. Let r(z) be the second derivative of -z**4\/12 - z**2\/2 + 5*z - 1. Calculate -n(w) + 16*r(w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: bb (base 13) to base 8\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from skimmmkwkski?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-45) - 148\/333\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*u + 4*u. Let s = -4 + 3.8. Let g = -12 - -10. Which is the closest to u? (a) g (b) 0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*o**(-2\/11)\/o*o)\/o*o*o)**(2\/23)*(o**2)**44 assuming o is positive.\nAnswer: o**(22326\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4484.5647 + 4486.4. Round a to 1 dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.062 and -0.2.\nAnswer: -0.0124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - l = 5, -3 = -l + 2. Suppose 4*i - 4*x - 26 = -6*x, 5*i - x - 22 = 0. Solve 5 - 15 = 5*k - g*m, 8 = -4*k + i*m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s + 33. Let f be a(-18). Let y be (-13)\/f + (-2)\/9. Which is bigger: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 4*a**2 + 8*a - 13. Let v be p(5). Suppose v*d - 48*d = 16. Calculate the remainder when (-7 - -5) + 6*3 + -1 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -101*k**3\/3 + 115*k**2\/2 + 71. What is the second derivative of l(d) wrt d?\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -223040 + 223384.249. Let k = d - 344. What is k rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55557 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(424270\/(-9348)) - ((-2)\/(-6))\/(87\/18)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 736\/(-12)) + 3\/(-9). Let h = -28 + n. Does 34 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/15 - 288*w\/5 = 0. What is w?\nAnswer: 0, 432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3277755, -6555416, -9833077, -13110738, -16388399?\nAnswer: -19666060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/45, -322\/3, -2\/19 in increasing order.\nAnswer: -322\/3, -2\/19, -2\/45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 9*m**2 - m**3 + 2*m**2 + 6*m - 10*m**2 - 15 - 6 + 19. Determine c(5).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*n + 52*n - 730 = 0. Calculate the remainder when 1267 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10722, 43029, 96880, 172275?\n\"Answer: 10772*g**2 - 9*g - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131482926 by 503766.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 184*g + 4. Let k be p(0). Let v(f) be the second derivative of -18*f + 0*f**2 - 2\/3*f**k + 5\/3*f**3 + 0. What is the second derivative of v(i) wrt i?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1116, 3\/4, 0 in ascending order.\nAnswer: -1116, 0, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o. Let u(b) = b**2 - 4*b. Calculate -4*q(g) + 5*u(g).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/2 + 3*h**2 + 9*h\/2.\nAnswer: h*(h + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q + 7. Let h(b) = 3*b + 6. Calculate 5*g(i) - 6*h(i).\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3839774 (base 10) in base 15?\nAnswer: -50ca9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 181207, -7, -2?\nAnswer: 181207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3588 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-260)\/(-84) + 12\/(-126). Let l = 630 + -324. Suppose w*s - 795 = l. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -114*w**3 - 103*w**2 + 62*w**3 - 20 - 24*w**2 + 51*w**3 - 68 wrt w.\nAnswer: -3*w**2 - 254*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 160261 - -175?\nAnswer: 160456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115.019726 - -2.019635. Let s = 0.153 - -112.847. Let b = s + i. What is b rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 + 2*u**2 + 2*u - 1. Let g be (-2)\/(-4)*(-4)\/1. Let b be (2 - (-2 + 2))*g. Let j be (b\/(-3))\/(12\/18). Give s(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-8)\/(c**(2\/63)*c) assuming c is positive.\nAnswer: c**(-569\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/4, 172691, 6 in increasing order.\nAnswer: 1\/4, 1, 6, 172691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -9 + 2 + 9 + 36*i**2 + 8 + 10*i. Let s(g) = 7*g**2 + 2*g + 2. Give -3*q(w) + 16*s(w).\nAnswer: 4*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 223041 = 56*m. Let b(c) = -2*c - 8*c**3 + m - 3919 + 0*c**3. Let o(l) = -l**3 - 1. Give b(a) - 6*o(a).\nAnswer: -2*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 774c + 0?\nAnswer: 774c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4170798130?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*v - 10. Let d = v + -6. Let w be ((-6)\/d)\/((-3)\/(-4)). Let k(h) = 16*h + 11. Let j(t) = -3*t - 2. What is w*k(b) - 11*j(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2904*z**3 - 120*z**2 - 240*z - 360. Let i(v) = 3*v**3 + v**2 + 2*v + 3. Determine c(s) + 120*i(s).\nAnswer: -2544*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 308 (b) -5\/4 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1034, -1062, -1108, -1172, -1254?\n\"Answer: -9*r**2 - r - 1024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.3. Let b = 16351 + -16351.09999. Let m = n - b. Round m to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 3:04 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 945 and 21945?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 75*m**2 - 360*m + 380.\nAnswer: 5*(m - 2)**2*(m + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187056476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 647*t**2 + 5*t - 5. Let n(w) = -3*w + 4. Calculate z(n(u)).\nAnswer: 5823*u**2 - 15543*u + 10367","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 4*g = 2*b - 4, g = b - 8. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*10\/(-200)*(-390)\/9672.\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(9) - (sqrt(1089)*2 + sqrt(1089)) - sqrt(9)))**2 + (-1*sqrt(208))**2 + -1 + sqrt(52).\nAnswer: 2*sqrt(13) + 225436\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674193.\nAnswer: 3, 13, 59, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 95*(2 - 32*(-2)\/(-20)). Let r = j - -119. Calculate the smallest common multiple of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73\/4 + -18. Let z = 169\/708 - -2\/177. Determine j so that -1\/4*j + 1\/4 - v*j**5 - 1\/2*j**2 + z*j**4 + 1\/2*j**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -176*h**2 + 111*h**2 + 128*h**2 + (4*h - 5*h - 2*h)*(-h + 5*h + h) as p + j*h**2 + v*h and give j.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-18) + 7\/21. Suppose 2\/9*d**3 - p*d**4 - 2\/9*d + 0 + 2\/9*d**2 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**3 - 9*h**2 + 241*h - 231 = 0.\nAnswer: -21, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 44.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/((j\/((j*j**(-1\/23))\/j))\/j*j*j)))**(-2\/15)*(j\/j**(1\/30)*j)\/(j\/(j**13*j)) assuming j is positive.\nAnswer: j**(10139\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/264)\/(3\/4)*16\/(-96).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 8:05 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.7 and 326.6107267979?\nAnswer: 327.3107267979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 0 - z + 0. Let x(a) = -a + 1. Let r(q) = 1. Let o(t) = -2*r(t) + 2*x(t). Give n(o(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 12:03 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x**4\/4 - 84*x**3 + 1727*x**2\/2 - 1484*x + 2809\/4 = 0. Calculate x.\nAnswer: 1, 53\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(50)*-1 + sqrt(50) + sqrt(50))*1)**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-12)\/(-9) - (-174)\/29. Find b, given that 0 + 14\/9*b**2 - 10\/9*b**3 - o*b + 2\/9*b**4 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333b1b (base 12) in base 9?\nAnswer: -1472575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 54, 38?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 7) to base 6\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -240*a**2 - 364*a + 3. Let p(g) = 3*g**2 - 2*g + 1. Let l(n) = 3*p(n) - r(n). What is the second derivative of l(c) wrt c?\nAnswer: 498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - sqrt(343)*2)**2 - (-1 + sqrt(63)).\nAnswer: -3*sqrt(7) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 7:20 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.97 - 29.77. What is the second smallest value in -2\/11, r, -1.9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23\/1646 or 0?\nAnswer: -23\/1646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*l - 3, 5*d = l - 3*l - 7. Let r be (l - 2 - 7)\/(-2). Does 20 divide (16\/r)\/(12\/150)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34986247?\nAnswer: 151, 223, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by -36\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5154)\/(6\/(-400)*(-10 + 6)). What is a rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 281389449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 642937 and 1.\nAnswer: 642937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*q**2 + 15*q**2 + 4*q**2 - 4 - 8*q - 20*q**2.\nAnswer: 4*(q - 1)*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from {s: 10, d: 4}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2000 - -21?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/138*2\/2\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33434097?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -22, -2\/3, -2\/17, 3, -5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/8 + 1\/8. Let s = 5.54 + -3.3. Let y = s - 0.24. Which is the closest to h? (a) -2\/7 (b) y (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 2*f. Let p be v(-2). Suppose p*j + 5*j = 190. Suppose -5*a + 2*c = 4*c - 30, -5*c = -3*a - 13. What is the least common multiple of j and a?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 10*y**3 - y**2 - 4*y - 2. Determine j(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -815 - -818. Solve 0 = -6*x + 4*x + a*c + 2, -5*c - 30 = 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 720 and 204?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3 + 33*u**2 - 1828*u - 1860 = 0. Calculate u.\nAnswer: -62, -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2441443 to the power of 1\/2, to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1175965503 to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/43)*k)\/(k**(4\/15)\/k) assuming k is positive.\nAnswer: k**(1733\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21284718 and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 4*l. Let y be (-3*1)\/(28\/8 - 5). Let t(q) = -q**2 - q. Calculate y*t(h) + g(h).\nAnswer: -h**3 - 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 21*d**2 - 10*d - 25. List the prime factors of f(7).\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126 (base 8) to base 15\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 20*f**3 + 1597*f**2\/2 + 1460*f - 114 = 0.\nAnswer: -38, -2, 3\/40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 6:59 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*b - 164 = 0, -112 = -3*k - 3*b + 4*b. Suppose 4*q - q = 5*d - 83, -q = 5*d - 99. Let j = d - -5. What is the greatest common factor of k and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 126, 14.\nAnswer: -1, 4, 14, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmbbbbmm. Give prob of picking 1 b and 3 m.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -43, -5 in ascending order.\nAnswer: -43, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004945447 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) 3 (c) -2 (d) -175 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 19.5, 118.9, -2\/7, -2\/5, 5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4833645.\nAnswer: 3, 5, 322243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -14*t - 21. Suppose -4*k + 5*f = 3, 2*f - 7 = 3*k + 4. Let c = k - t. Is c equal to -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 362376 divided by -6\nAnswer: -60396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - j = -7, 14 = -3*a + a - 4*j. Suppose -184020 = n + a*n + 4*l, 3*l + 230015 = -5*n. Round n to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52883.\nAnswer: 52883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*3\/((-420)\/(-8)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -18*h**4 - 2805*h**3 + 120798*h**2 - 20055*h = 0.\nAnswer: -191, 0, 1\/6, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 1 = 5*d - 2*z, -3*z = -5*d + 3. Let y be d\/9*(-1 - -1). Solve -x - 4*x - 15 = y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -80. Let w = z + -9. Let b be 12\/w - 1\/(-3). Put 5, b, 2 in decreasing order.\nAnswer: 5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1551*w + 4482. Calculate p(3).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81 + -43. Suppose 4*y = 2*y + b. Suppose 72*z - 40*z - 1024 = 0. Calculate the remainder when z is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1428 and 24.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.43822805 to 3 decimal places.\nAnswer: 0.438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -762 + 766 = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2 + 8*w + 2*w**2 - 7*w - 7*w. Let u be -5*2*(-3)\/6. What are the prime factors of p(u)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (113\/(-4))\/(1\/(-4)). Suppose -d - 4*n = -l, -5*n - 50 = -d + 18. List the prime factors of d.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15543 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 17 = -9*o. Suppose -o*m = -18*m - 620. Round m to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*u - 610*u**2 + 50*u + 611*u**2 - 26*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 (base 10) in base 4?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 493 - 649 = 0. Solve n*d = -21 - 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 86 = s - 0*l, -430 = -5*s + 2*l. Let k = s + 92. What are the prime factors of k?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1599795420 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 3*k + 5. Let c be w(4). Is -0.06 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15667\/28 + 5585079\/9982. Calculate the common denominator of 79\/992 and y.\nAnswer: 22816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 0.4, 2\/670705?\nAnswer: 2\/670705","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-1\/9)\/d*d*d*d**1*(d\/d**(1\/4))**37 assuming d is positive.\nAnswer: d**(1103\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11880 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 550 or 551?\nAnswer: 550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 738 - 305 - 358 = 15*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-334 - -4)\/(-5) + -6 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23433 = -235*z + 17793 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1195 and -2412.\nAnswer: 288.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**5\/20 + h**4\/3 + 2*h**3\/3 - 9*h**2. Let d be t(-7). Calculate the greatest common divisor of d and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -10. Let g(p) = p**2 + p + 2. Let j be g(d). Calculate the smallest common multiple of 6 - j - 4\/(-2) and 58.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23, 3, -0.108, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -193 - -198 - ((0 - 0) + 12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + 3*a + 1. Let f be s(-2). Suppose h - 18 = -f. What is the second derivative of -h*n + 3*n + 16*n**3 - 11*n**3 wrt n?\nAnswer: 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (2 + 8) - 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7))**(1\/52))**(-43)\/(l**(3\/7)\/(l**(2\/7)\/l)*((l\/(l\/(l\/(l\/(l\/l**(-5\/2))))))\/l)\/(l*l\/l**(-5))) assuming l is positive.\nAnswer: l**(327\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y + 6*y**3 - 3*y**3 + y - 4*y**2 to s*y + w + h*y**3 + c*y**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*s**5 + 112*s - 230\/3*s**2 + 0 + 10*s**4 - 45*s**3 = 0 for s.\nAnswer: -2, 0, 1, 7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 382*k - 310 = 379*k - u, 5*k + 5*u - 510 = 0. Solve 21*f = -31*f - k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyoohoyhh. Give prob of sequence ooyy.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110 - -25?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*1*80\/(-32). Let o(h) = h**2 - 5*h - 9. What are the prime factors of o(n)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 13 + 7 + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -3, -78, 11, 394.\nAnswer: -78, -3, 0, 2, 11, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3155340 to the nearest ten thousand.\nAnswer: 3160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - f**2 + f - 5. Let u be p(0). Let k(w) = -5*w**2 + 2*w - 1. Let i = 3 - 2. Let r be k(i). Sort r, 0, u in increasing order.\nAnswer: u, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -13*j**2. Let g(q) be the third derivative of -q**5\/20 - 14*q**2. Give g(s(f)).\nAnswer: -507*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*3*sqrt(336) + sqrt(336))\/(sqrt(28)\/(sqrt(4)*4)))**2.\nAnswer: 92928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 306247?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-122)\/(-9)*(-2 + 5). Let h = x - 1336\/33. Let o = -0.6 + 0.5. What is the closest to 3 in 0, h, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2628803653?\nAnswer: 7, 17, 19, 23, 50551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2820391, -5640787, -8461183, -11281579, -14101975?\n\"Answer: -2820396*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 25.7 times -0.46331\nAnswer: -11.907067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -56?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u*u*u**6*u)*u))\/u)\/u*u**(-1\/2))\/((((u**(-1\/4)*u)\/u)\/u)\/u**(-5)) assuming u is positive.\nAnswer: u**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 156 - 156.1. Let o be (2\/(-14))\/((-3)\/21). Let d be (9\/(-18))\/(o\/3). What is the nearest to 1 in r, d, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1479133 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*h = -52*h. Let k(u) be the second derivative of -1\/6*u**4 + 0*u**2 + u + 0 + h*u**3. Let a(j) = 3*j. Give k(a(f)).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 8:29 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*n**3 - 103*n**4 - 23*n**3 + 234*n**3 - 220*n**2 + 25*n**5 - 10 + 85*n - 27*n**4.\nAnswer: 5*(n - 2)*(n - 1)**3*(5*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 7 - 10. Is 3*l\/9 + 9 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1aacb (base 13) to base 9\nAnswer: 78768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**4 - 175*y**3 + 1305*y**2 + 1855*y - 2990 = 0. Calculate y.\nAnswer: -2, 1, 13, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 410, 0.1, -4, -3, 11 in increasing order.\nAnswer: -4, -3, 0.1, 11, 410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -73645\nAnswer: 29\/73645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 28 = -12*m. Let w = 7 + -6.5. Sort m, w, 3 in decreasing order.\nAnswer: 3, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 6*l**2 - 10*l + 13. Determine b(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 2\/17, -9\/4, 0?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + j**2 - j - 1. Let f(q) = -15*q**3 - 12*q**2 + 12*q + 12. Let m = 4 + -3. Give m*f(b) + 12*a(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 65*x**2 + 118*x + 7679. Calculate q(-65).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188.124 tonnes to milligrams.\nAnswer: 188124000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m = 6*m + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/5)\/(24\/(-4530)). Let p = 38 - i. What is the closest to 0 in p, 4, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*y = 414 + 66 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 10 + 2. Let y(u) = -2*u. Let a(i) = 2*i. Let s(l) = r*a(l) - 3*y(l). Let k(x) = -2*x**2. What is k(s(g))?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**3*o*t - 12810*g**3*r*t + 4*g**3*t - 3*g**2*o*r*t + 2*g**2*o - 4454*g*o*r*t + 4*o*r - 1 wrt g?\nAnswer: 6*o*t - 76860*r*t + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i*j**3*m*z + 6*i*j**3 + 4*i*m*z + j**3*z - 8*j**2*z - 152*j**2 + 2*j*m*z + j wrt i.\nAnswer: 3*j**3*m*z + 6*j**3 + 4*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 97 = 29. What is the remainder when k is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100010 - 102201001112212?\nAnswer: -102201001012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 8:48 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.7 + -0.7. Let a = 0.65 - 0.15. Let b = -0.07 + 0.09. What is the second biggest value in a, s, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 17*m - 8. Let u be l(6). Differentiate -115 - 27 - u + 72 - 55 - 161*c wrt c.\nAnswer: -161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**5 - 2228*i**4 + 1482289*i**3 - 253538918*i**2 - 511533620*i - 256510184 = 0.\nAnswer: -1, 266, 982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37100 + 37148 = -6*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355 - 362 + 1410 - 14*s - 359 - 334.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18489 + -18459. Calculate the remainder when 401 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/4 and -29\/19475296.\nAnswer: 19475296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11830516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/27 - ((-15865)\/945 - (14 - 31)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12980268 divided by 3.\nAnswer: 4326756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8*m**2 + 2*m + 14. Let g(b) = -10*b**2 - 3*b - 15. Let y(c) = -7*a(c) - 6*g(c). Factor y(t).\nAnswer: 4*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 47 - 31 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17687 and 7?\nAnswer: 123809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*(450\/27)\/10. Let f(u) = -u**3 - 8*u**2 - 40*u + 14. What is the tens digit of f(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i - 156. Let x be o(52). Solve x = -10*m + 15*m + z + 11, -10 = -2*m - 4*z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 81 = -4*v - 660, -b = -4*v - 729. What is the remainder when 37 is divided by (-1)\/4 - (2 + v\/12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c - c + 5*c + (3 - 5 + 3 + (0 + 1 - 2)*(-2 + 6 - 5))*(c - 8*c + 12*c).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j + 1. Let s(c) = 36*c - 3. What is s(f) + 2*z(f)?\nAnswer: 40*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + (3 + -1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -327, -646, -965, -1284, -1603?\nAnswer: -1922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -31\nAnswer: -3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6012*m = 6013*m + j + 4*j - 7, 0 = -3*j - 3 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -7 - 5*x**2 + 76*x - x**3 - 40*x - 2 - 40*x. What is the units digit of a(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/(-4) + (-9)\/12. Suppose -5*i = -h*q - q + 94, -5*q - 4*i + 95 = 0. Let v(t) = 23 - q + 2*t**2. Let c(y) = y**2. What is v(c(o))?\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 460.3 + -663. Let a = i - -213. What is a rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 2)*(1430 + 76*l**2 - 1430) + (2*l - 2*l + l)*(-2*l + 3*l - 2*l) + 2*l - 2*l + 2*l**2 - 3 + 3 - 2*l**2.\nAnswer: 227*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 9:39 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 14*a**2 + 25*a - 2. Let s be x(12). Suppose 3*i + 142 = 2*d - 158, 5*i + s = 0. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 35*k - 61. Let z be r(33). Suppose -z*v + 9 = 3*t - v, -t + 3*v + 3 = 0. Sort -5, 0.1, t, -13 in increasing order.\nAnswer: -13, -5, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sum -239646958 and -0.01.\nAnswer: -239646958.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 14*y**2 + 12*y - 10. Suppose 0 = 102*z - 105*z - 39. Let i be t(z). Solve -i*a = -a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 12:00 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 12*j - 110. Suppose 45 = -2*l - 3*l. Let o(w) = w**2 + 4*w - 8. Calculate the remainder when o(l) is divided by q(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -1165141, -1165135, -1165125, -1165111, -1165093?\nAnswer: -1165071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1840163955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.561943 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 231537283 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.233 - -1.133. Which is the smallest value? (a) -3.94 (b) -5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70895 is divided by 168?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 3\/2, -94\/7 in decreasing order.\nAnswer: 3\/2, -4\/7, -94\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/63 and -95\/70728768.\nAnswer: 495101376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -752*h + 63168. Let p be d(84). Let j = -0.04 + -1.96. Put -1\/8, p, j in increasing order.\nAnswer: j, -1\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 10 = -12*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 8 (b) -55.55 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143141 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -192 + 186. Let u be (-81)\/2 - f\/(-14 + 2). Round u to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6 - 4 - 10*v**2 - 5816*v + 5811*v + 3. Let g(z) = -z**2 - z. Let m(p) = 13*p**2 + 8*p - 6. Let f(a) = 2*g(a) + m(a). Determine -5*f(x) - 6*h(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/3 - 8*z**2\/3 + 10*z\/3 = 0. What is z?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.8. Let y = -0.5 - z. Put -2\/3, -1, y in ascending order.\nAnswer: -1, -2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/3*(-1)\/(-5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 + -1 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a + 2. Calculate the remainder when 43 is divided by i(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 35858.85 kilometers?\nAnswer: 35858850000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -16*h**2 - 13*h + 14. Let v be y(-2). What is the fourth biggest value in 0.2, v, -9, -3\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*k + 9*k**3 - 49*k + (2*k**2 + 3*k**2 - 3*k**2)*(-2*k - 2*k + 6*k))*(0*k + k + 0*k).\nAnswer: 13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 + 3*g**4 + 0*g**4 + (-1 + 1 - 3*g**3)*(0 + 0 - 2*g) + 2*g**4 - g**4 - 3*g**4 + 420*g**4 - 3889*g**2 + 3889*g**2.\nAnswer: 426*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 4*x + 9*x - x**2)*(2*x**2 + 2*x**2 - 2*x**2) + 67 - 67 + 2*x**4.\nAnswer: -2*x**4 + 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/928 and -63\/64?\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k. Let c(b) = 7*b. Let u(t) = 2*c(t) - 5*j(t). Let y be u(-1). Suppose 5*g - 3*n = -22, -6 = 2*g + 2*n + y. Put g, -4, -2 in descending order.\nAnswer: -2, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30151295 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: Suppose f + 4*n - 5 = 0, 0 = 2*f - f + 3*n - 3. Put 1, 3, f in decreasing order.\nAnswer: 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1188, 2235, 3286, 4347, 5424?\nAnswer: 6523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 9:40 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4395152 is divided by 129?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2 + 1. Suppose 4*w - 2*w + f*b - 2081 = 0, -2*w = -b - 2077. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -167402 and -7.26016.\nAnswer: -167409.26016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 21*b - 6. Let h(w) = -3 + 1 - 2*w + 13*w - 1. Let y(s) = -9*h(s) + 5*n(s). Is y(6) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3889300 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*n - 5 - 11, 5*o - 10 = 5*n. What are the prime factors of ((-40)\/o)\/(6\/(-18))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -6*o - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1500.9923396 + -8?\nAnswer: -1508.9923396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*r - 4 = -73*r + 2*p, 2*r = p - 16. Are r and 93 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 1639*z + 14698. What is g(-9)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10124 divided by 122544\nAnswer: 2531\/30636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*b + 296, 0*c = -c - 2*b + 74. Suppose c*f = 59*f + 8640. Is 36 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.31 + -0.09. Let f(s) = -s**3 + s**2 + 5*s - 3. Let m be f(3). Which is the nearest to -1? (a) r (b) 2\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8597\/9 + -73238\/63. Let n = -207 - p. Which is the nearest to n? (a) 2\/5 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-50)\/(-45))\/10)\/(1\/3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5\/9 - 82*y**4\/3 - 178*y**3 + 750*y**2 + 3168*y - 9288 = 0. Calculate y.\nAnswer: -6, 3, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 359 = -3*u + 12*d, -2*u + 241 = -5*d. Is 118 not equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14744a (base 13) in base 16?\nAnswer: -7a796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -15.7. Let u = -5.7 - q. Let c = 156 + -621\/4. What is the biggest value in c, u, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**5 - 4*p**5 + 5*p**5 + (-2*p + 3*p**4 + 2*p)*(-2 + 2 - p) + ((p**3 + p**3 - p**3)*(2*p**2 - p**2 + p**2) - p**5 - 3*p**5 + p**5)*(-3 + 0 + 6).\nAnswer: -2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**10*h\/h**(-5)*h*(h**(1\/4)*h)**25)**28 assuming h is positive.\nAnswer: h**1351","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4*y**2 + 4*y**3 + 0 - 14*y**2 + 13*y**2 - 4 to the form f + g*y + l*y**3 + d*y**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -40*d - 639. Determine l(-34).\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 p when three letters picked without replacement from ddddzqrddpddddpppq.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 10:10 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1113, -4, 3, -1.\nAnswer: -1113, -4, -1, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -63, -58, -41, -6, 53?\n\"Answer: t**3 - 2*t - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**6\/360 - s**3\/2 - 3*s**2. Let p(c) be the first derivative of r(c). Let j(v) = 3*v. Determine j(p(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -6 - -15) + -19.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5971, -13, -3, 5 in descending order.\nAnswer: 5, -3, -13, -5971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 244*c + 18. Let h be s(5). Let g = -553 + h. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1\/3, -0.09, 1, -2\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 164*f + 47. Let u(y) = 82*y + 27. What is 7*u(m) - 4*v(m)?\nAnswer: -82*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, 35 in ascending order.\nAnswer: 2, 6, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w. Let s(b) = -15*b. Suppose v + 171 = 5*j, -4*j + 2*j + 5*v = -50. Let l(y) = j*c(y) + 5*s(y). Let i(k) = 11*k. Calculate i(l(p)).\nAnswer: -55*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4416)\/(-10752) + (0 - (-4)\/(-14)). Which is the closest to u? (a) 3 (b) -52 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 96602894 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 27 (b) -3\/8 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1361 - 1304. What is the highest common divisor of 304 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 23264237072110.\nAnswer: 23264237072109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 1\/(16\/(-696))*8\/(-36)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(40)\/sqrt(4)) + sqrt(144)\/sqrt(192))\/((sqrt(30) + sqrt(1080)*1)\/sqrt(5)).\nAnswer: 5*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 6850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 2:52 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111010101110 - 101?\nAnswer: -10111010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3\/5 - 81549*m**2\/5 - 544480353*m\/5 + 26499072021 = 0. What is m?\nAnswer: -13709, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**4\/24 + 4*n**3\/3 - 4*n**2. Let p be l(-6). Find the third derivative of 0*w**5 + 0*w**2 + 0*w**2 + 2*w**p + 2*w**5 wrt w.\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 6*f**2 - 8*f + 7. Let x be c(8). Suppose 109 = -5*g - x. Let q = 50 + g. What is the highest common divisor of 154 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 536 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 2396*s**3 - 20.\nAnswer: -2396*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 - 1)*(-3 + 0 + 1) - 1 + 5 + 0 + (0 - 2 - 1)*(2 + 3 - 6))*(-2*r + r - r) in the form u + y*r and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beyskkbkkkkyyskyr. What is prob of picking 1 e and 2 y?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5982475 + 7*k**2 - 22*k**2 + 5982475.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/425*-5)\/(1\/2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 9 + 17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11846, 23691, 35536, 47381, 59226, 71071?\nAnswer: 82916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 7537501.\nAnswer: 82912511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 352506 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 249113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/123648 and -7\/736?\nAnswer: 123648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2249 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-3)*(-215)\/(-215).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 3679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 47*k - 3. Let w(l) = -5170*l + 329. What is 329*m(s) + 3*w(s)?\nAnswer: -47*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y. Let q(w) be the second derivative of -w**3\/6 + w**2\/2 + 3*w. Let l(t) = -8*t + 6. Let v(z) = -l(z) + 6*q(z). Determine m(v(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 21*f**2 - 18*f - 23. Let q be w(20). Which is bigger: 18 or q?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2. Suppose -2*n + b - 1 = 0, 3*n + 2*n + 15 = 5*b. Suppose -5 + 3 = -n*f + l, 0 = 4*f + 2*l - 20. Let r be g(f). Solve -2*a = 1 - r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (845\/140 - 6)\/(2\/8). What is the second biggest value in 3, -0.5, 1\/3, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.15 - 0.65. Let m = 35 + -51. Let g(y) = -y**2 - 17*y - 16. Let l be g(m). Which is the third smallest value? (a) -5 (b) x (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -19*x**4\/12 - x**3\/6 - 2*x**2. Let s be (6\/(-8))\/(36\/96). What is the tens digit of h(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = 3*m + 150, -46 = -114*m + 110*m - 3*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4310 - 8706 = 1343*k - 32679 - 27342 for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4 + 26*x**3 + 84*x**2 + 86*x + 29 = 0. Calculate x.\nAnswer: -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 16665*y. Let o(i) = 14*i**2 + 2*i + 10. Give d(o(j)).\nAnswer: 233310*j**2 + 33330*j + 166650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1738*r + 11984. Give a(7).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11478.6664 rounded to the nearest 100?\nAnswer: 11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 69076 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, z: 8, i: 4, x: 1}. What is prob of sequence xzi?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -984, -5, 4, 0.03, -0.1?\nAnswer: -984","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*l**3*s**2 - 2*l**3*s + 9*l**2 + 717*s**2 with respect to l.\nAnswer: 51*l**2*s**2 - 6*l**2*s + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22370*t - 22316*t = -1944 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q**3 - 205*q**2 + 460*q - 180 = 0.\nAnswer: 1\/2, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 8:11 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 33*q + 81. What is x(-37)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7\/(35\/25) - (2 + 1) and 115.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12347292 to the power of 1\/2, to the nearest integer?\nAnswer: 3514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1169299 + 15894*x**3 + 1169299.\nAnswer: 15894*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 348 - 5573\/16. Let y(j) be the second derivative of -j**5\/20 + 5*j**4\/6 - 2*j**3 + 14*j**2 + j + 157. Let w be y(9). Does c = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w**2 - 11*w - 66. Let i(l) = -l**2 - 2*l - 13. Let v(r) = 11*i(r) - 2*k(r). Give v(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.975974kg in micrograms?\nAnswer: 7975974000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t - 2. Let k = 0 - -3. Suppose 4*b - k*n + 2*n - 36 = 0, -2*b + 18 = -n. What is r(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 + 29*j**2 - 6*j - 651. Determine v(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -131, -310, -561, -884?\nAnswer: -1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 0*x + 8*x - 4*x - 3*x**2 - 1 + 9*x. Let t be g(4). Suppose -t*q + 40 = -50. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 11*r - 1. List the prime factors of l(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 8319545.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 + 12*a**2 + 5*a - 24. Let l be 23\/(230\/(-30)) + 9. Determine w(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 6 - 5*t**2 + 8*t**2 - t - 6*t**2 + 2*t**2.\nAnswer: -(t - 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -164, -5\/2, -1\/2, 6?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*i + 8\/3 + 2\/3*i**2.\nAnswer: 2*(i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 + -6. Let b(w) = 2*w**2 - 6*w - 6. Let x be b(7). Let j = k + x. What is the greatest common divisor of 21 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 1\/2*k**5 - 2\/3*k**3 + 0*k**2 + 0 + 8*k + 0*k**4. What is the second derivative of d(u) wrt u?\nAnswer: 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 less than -1971207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 250039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t + 216 = 0. Suppose 7*q - 25*q = -t. Suppose -50\/9 + 2\/9*f**q - 22\/9*f**2 + 70\/9*f = 0. What is f?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 divided by -51.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, a: 13}. Give prob of sequence aaxx.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-4 - -3))*(-3 - -4). Is -2\/229 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -34*h + 817. Let i be f(24). Which is the second biggest value? (a) 0.4 (b) 9 (c) i (d) 1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 486 and -3606.\nAnswer: -1752516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 t when three letters picked without replacement from vkvktzvvkkttktkvkzk.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15635994 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/20 and -53\/24450.\nAnswer: 48900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -2401398.\nAnswer: -1\/400233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70334755?\nAnswer: 5, 14066951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19923369131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.27?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10786774 (base 9) to base 4.\nAnswer: -110002222300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yybcyydbdbbydwy. Give prob of sequence bb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -44, -116, -188, -260?\n\"Answer: -72*r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 4 = -y. Let q be y\/(15\/5) + 6. What is the third derivative of 7*j**4 + j**4 - 5*j**2 - 4*j**2 + j**q wrt j?\nAnswer: 216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 300 + -519. Let y = n - -415\/2. Is -13 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) -5 (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((-45)\/30*4)*-25.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -3, 0.4, 1.24, 63 in decreasing order.\nAnswer: 63, 5, 1.24, 0.4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 + -47 + (-1 + 10 - (6 - 6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 32 - 0. Let m = 22 + h. Let c(s) = 14 - 8*s - m. Let a(n) = 2*n. Give a(c(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -17*y + 1. Let n(t) = 470*t - 25. Let c(g) = n(g) + 30*z(g). Let w(m) = 20*m - 2. Determine 2*c(k) + 5*w(k).\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - ((-1)\/1)\/(-3*1 - 18870\/(-6273)).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2123569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(1\/4)*o)\/(o*o*o**1))\/(o*o**(-2))**(-8) assuming o is positive.\nAnswer: o**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, 22\/3, 131, 0.5, 4.\nAnswer: 0.5, 4, 22\/3, 131, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 2. Let c be g(-2). Suppose 0 = m - c*m - 4. Calculate the least common multiple of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*l - 1182, -3*l - 2*t = 2*l - 2953. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**7\/21 + 5*a**4\/24 - 18*a**3 + a**2 - 162. What is the first derivative of b(h) wrt h?\nAnswer: -40*h**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**4\/11 - 154016*r**3\/11 + 8*r**2\/11 + 616064*r\/11 = 0.\nAnswer: -77008, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + c = 14, -5*c = -5*v - c - 5. Suppose -v*l = -8 - 13. Is (40950\/49)\/6 - 2\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 43 from 190108180372.\nAnswer: 190108180329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 682384 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12702361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38420595 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -465 (base 10) to base 8.\nAnswer: -721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -14. Suppose u = -3*q + 51 + 3. Let j = -2 + q. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51631.\nAnswer: 51631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84.5 - 85. What is the second biggest value in 4, h, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**5\/140 + 5*k**4\/28 - 12*k**3\/7 + 1584*k**2. Let j(z) = 0. Calculate z.\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4194 a factor of 568869074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7319942 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29137*v**2 + 1413 with respect to v.\nAnswer: 58274*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, 1\/7, 0.6 in descending order.\nAnswer: 0.6, 1\/7, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.7 - 8.6. Let h = 3 - 3.2. Let r = 0.8 - h. Sort 2\/5, r, b in descending order.\nAnswer: r, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 424 - 420. Let r(q) = 94*q + 121. Is r(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2323, 2307, 2291, 2275?\nAnswer: 2259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2378, 5, 1290 in descending order.\nAnswer: 2378, 1290, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - (16 + (-4 + 12 - 4))) + 0 + 9?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -10. Let p be ((-7)\/2)\/(5\/((-30)\/3)). Solve 3*a = -p*u + v*u + 17, -4*u = -4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/231 and -52\/21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104058 is divided by 25988?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 247, 86, -2, -2\/3, -5 in increasing order.\nAnswer: -5, -2, -2\/3, 4, 86, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 379a4c62 + 7?\nAnswer: 379a4c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 143*b + 64 = 74*b + 73*b, 3*w - b = 17 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1931 + -1912. What is the remainder when 190\/7 + -4 + (-135)\/(-35) is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/21 and ((884\/8346)\/17)\/(4\/(-94)).\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10596\/53 greater than -200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -6*a + 140. Suppose 0 = 4*v + 4, a = -3*d + 5*v + 5. Determine t, given that 0 + d*t**2 + 1\/6*t**3 + 0*t = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g + 7*g - 17*g.\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1815, -0.5, 0.09, -0.04 in decreasing order.\nAnswer: 0.09, -0.04, -0.5, -1815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38.2? (a) -3\/5 (b) 5 (c) -2 (d) 0.4 (e) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8350\/3 - 2758. Find the common denominator of -77\/10 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -8. Suppose -2*n = -3*j + 48, n = -p*j - 0*n + 32. Suppose -3*x = -8*x. Solve 4*m + x - j = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5613880 and 600.\nAnswer: 84208200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 259699841 to the power of 1\/2, to the nearest integer?\nAnswer: 16115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -286*s - 28220. Give j(-100).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*s + 42*s - 15. Let n(x) = -4*x + 6. Calculate n(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 3*w**2 - w**2 - 43 - 11 - 25*w. Let v be d(27). Solve -x + y + 1 = v, 0 = x - 6*y + y - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 2533648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 12*a**2 + 2*a + 16. Calculate v(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000309 to six decimal places.\nAnswer: -0.000309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**20)**(-44) assuming u is positive.\nAnswer: u**(-880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h = -33. What is the remainder when 64 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-14432)\/(-14310) + 0. Let q = -1922329\/223801245 + d. Let p = q - -3159211\/500464. Calculate the common denominator of -37\/2 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000066013874 to six dps.\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + -a?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-847 + 59*v + 847)*(v**3 - 2*v**3 + 0*v**3) as p + n*v**4 + i*v**3 + q*v + a*v**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 45*b**5 - 5*b**4 - 90*b**3 + 10*b**2 + 45*b - 5 = 0.\nAnswer: -1, 1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1687 is divided by 142?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9 + 4*c**3 + 2*c**2 + 0 + c - 11. Let h be j(1). Suppose 0*a + 71 = 4*s - h*a, 0 = 5*s - 2*a - 110. Solve -5*m - 4 = -s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-8 + (8 - 8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59.31 - 64.31. What is the closest to 4 in l, -80, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19*(-30)\/(-285) - (-42)\/28\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18653*u**2 - u - 16208?\nAnswer: -37306*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1276, 4511, 9904, 17455, 27164, 39031?\n\"Answer: 1079*s**2 - 2*s + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -17*o + 43 - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165696?\nAnswer: 2, 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11556 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -11*a - 6. Let g be c(-7). Let u = 211\/3 - g. Is 0 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 - -7) + (-16 - 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 36. Let s(p) be the first derivative of -5*p**2 + 5*p + 1. Let u be s(i). What is the highest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -478 + 34*z + 478 as o*z + i and give o.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-30)\/150)\/((-1)\/1))\/(2\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/2*(3770\/(-4524))\/((-5)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5442*b - 353100 = -1620*b for b.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97871006.\nAnswer: 2, 17, 169327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*p + 198 = -202, -5*r + 440 = 3*p. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -181 - 58 + 39*w - 12 + 13. What is the remainder when 98 is divided by x(7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 7:09 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + l + l**2 + (0*l - 5*l + 2*l)*(-3848 + 91*l + 3848) in the form w*l**2 + b + f*l and give w.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**13*w**1)\/(w**(13\/3)*w**7))**(-2\/51) assuming w is positive.\nAnswer: w**(-16\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rirprmmmprp. What is prob of picking 1 r and 3 m?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 159 - -66. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (4 - 3 - (-6 - -11))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 14*q - 12. Give r(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 913 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + 96\/(-27))\/(6\/27). Suppose 4*q + p - 2*p - 1651 = 0, k*q = 4*p + 836. Is q a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 1\/4 (c) 252 (d) 0 (e) 2\/21 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/32 in -19, 3, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 - 100. Suppose -8*r = -44 + f. Solve -1 = r*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3872 + 3878. Let q(r) = -10*r + 2. Let h(c) = -30*c + 7. What is s*h(j) - 21*q(j)?\nAnswer: 30*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01507515 rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y - 7 = 2*k, 0 = -k + 2*y + 19. Let x be 8 + -11 - (-5 + 1). What is the greatest common factor of k and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108554609 times 0.4\nAnswer: 43421843.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34939153?\nAnswer: 61, 419, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1589 - 1587. Solve -y = 1 + v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256057, -512111, -768163, -1024213, -1280261?\nAnswer: -1536307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9.541531 days?\nAnswer: 824388278.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20 - 32705\nAnswer: -32725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*g - g - 58, 3*h = -4*g + 50. Let z = 195 - 94. Let q = -96 + z. Solve -5*r - h = 3*m - 4*m, -3*m = -q*r - 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2412*a = -2410*a - 2. Solve p = s - 3 + a, 2*p + 9 = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -650, -648, -644, -638?\n\"Answer: r**2 - r - 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*b = -435*b + 1904 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + k. Let h(l) = 6*l**2. What is -h(y) - 2*v(y)?\nAnswer: -4*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 153 - 181. Is 18 a factor of 3\/21*2 - 5788\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -8\/7 (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 695 = -5*y, -b = 3*b - 20. Let z = y - -279. Is (z\/21)\/(6\/21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = r + 20, 2*r - 1 - 1 = -4*o. Let g(x) = -x**3 + 4*x**2 - 3*x - 3. Let t be g(o). Let d = t - -2. Is -8 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 896753650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*r**2 + 2347 + 2349 + 48*r - 7039 + 2343.\nAnswer: 56*r**2 + 48*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*s - 2, 0*c + 4*c = 3*s + 54. Suppose -c - 6 = -2*i. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m - 168*m = 1417 + 1048 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5136 - -5136.1. What is the fourth smallest value in -0.3, -5, w, -1\/5, -22\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-15)*2 + 128\/6. What is the greatest common factor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20103759 smaller than -20103758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.088 + -0.038. Let f = 4 - c. Let v = 0.33 + f. What is v rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154*b**2 + 123*b**2 + 426*b**2 to the form x + y*b**2 + j*b and give y.\nAnswer: 703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**5\/20 - x**4\/12 + x**2\/2 + 2*x. Let v(w) = w**3 - 2*w**2 - 2*w + 1. Determine 2*o(c) - v(c).\nAnswer: c**3 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2160)\/(-1944) - (-344)\/(-261)?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 8*x**2 + 13*x. Let p be l(4). Let z be (3\/p)\/((-5)\/300). Let m = -87 - -147. What is the greatest common factor of z and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(36)\/sqrt(6))\/(sqrt(108) - -4*sqrt(108)).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 194446*l + 777769. Give z(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -17) + -29 + 20 + (-34 - (-8 - -5))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.2, -443980.\nAnswer: -443980, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 0.3. Let u = -4378\/9891 + -2\/1099. Let y = 0.5 + -1. What is the closest to a in -4, y, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = -16*v - 319. Suppose 2047 = 6*w + v. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 - -81. What is the remainder when 33 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**5\/30 + w**4\/8 + 2*w**3\/3 - w**2. Let u be v(3). What is the biggest value in 2\/7, u, -3\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 5) + (4 - 1 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z - 4. Let l be r(2). Suppose -3*x = -6*x + l. Suppose -x*m = 2*u - 40, -4*m + 3*u = -9*m + 108. Calculate the highest common divisor of m and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 100 = -4*w, 0 = 5*w - 0*w + 4*v - 125. Let g = w - 19. What is the remainder when g is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 i when four letters picked without replacement from ojjninbbbgiobn?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.061 less than -7152107386708?\nAnswer: -7152107386707.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -4, -5*r + 2695 - 2649 = -4*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.268 times 235107\nAnswer: 63008.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/1195, 3\/7, -0.4, -0.22?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 7026 = -1976. Suppose 4*f - 321 = g. What are the prime factors of f?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**3\/2 + 2*k**2 - 6*k + 68. Let q(c) = 3*c + 3. Suppose -70 + 54 = 4*t. Give t*q(x) + 3*s(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/5*(3\/(-55) + (-10)\/25).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72157\/13410 + -6\/745. Let g = 10537\/10 + -1048. What is the common denominator of a and g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 1\/6*l**4 - l - 2 + 0*l**3 - 1\/20*l**5 + 1\/2*l**2. Let z(t) be the first derivative of o(t). What is z(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 6*z**2 + z + 2. Let q be l(-5). Suppose -2*r - 3*s = -0*r - 56, r = 5*s + 2. What is the highest common factor of r and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 2:03 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((-1 - -7 - 6) + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*1*4)**2 + 5.\nAnswer: 20805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17692952*p**2 + 1356*p + 4366?\nAnswer: 35385904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -20433?\nAnswer: -20442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -252*x + 2. Is d(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4035 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 5*j**2 - 3*j + 9. Determine o(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10874 times 3?\nAnswer: -32622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.2 - 1.2. What is the closest to 0 in -3, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 43063595408.559 and -2.\nAnswer: 43063595406.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(2) + sqrt(18)) - sqrt(200))**2 - ((1 + sqrt(18)*-2)*2)**2.\nAnswer: -815\/8 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/4 (b) 17\/5 (c) 2\/13 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1066076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1058746401?\nAnswer: 1058746401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 12, 2*i + 5*h - 3 = 2 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 22*j**2 + 2511*j + 156. Give z(-114).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2162546 * 14\nAnswer: 30275644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0 - -3 - 2) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1\/3, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 15) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698002082?\nAnswer: 2, 17, 20529473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 10:55 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2 = 11, 2*n - 689 = -5*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**3 - 4*z**3 + 54*z**2 - 39*z - 54*z**2 - 2*z**3 - 4 in the form y*z**3 + w*z**2 + n*z + k and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/6 - 4)*5040\/(-400).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12480 + 0 - (7 - 14).\nAnswer: 12487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73884175?\nAnswer: 5, 431, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/125296 and 49\/2420.\nAnswer: 75804080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -34006456.5 rounded to the nearest 1000000?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 764575, 761945, 759327, 756727, 754151?\n\"Answer: y**3 - 2637*y + 767211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 205 - 209. Suppose 3 - 15 = 4*u. Sort 2, y, u.\nAnswer: y, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*y + 151532 = -150*y + 9047298. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3619933742 to the power of 1\/2, to the nearest integer?\nAnswer: 60166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2727952290 + -0.12551\nAnswer: 2727952289.87449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (7 - 4 - 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11396 divided by -4?\nAnswer: 2849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 4*t - 2*t - 5, -2*t = -4*b + 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -17*r - 1118. Let s be m(-65). Let o(k) = 5*k + 69. Determine o(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9)*g)\/(g**22*g)*(g*(g*g**(-5))\/g)**(-1\/26) assuming g is positive.\nAnswer: g**(-401\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -5695700 to the nearest 10000.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/36*3*(-162)\/(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 293818?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -77*t - 6088. Calculate j(-79).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 553, 1, 3\/5, 0.2, -2\/7, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 304034 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(6\/(-48)*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-59)\/(-76)*4 - 3. Let j be (-21)\/(-36) + 1\/(-3). Which is the closest to f? (a) -2\/13 (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 270 - 266. Let g be -7*o\/(-14)*-7. Which is smaller: -16 or g?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h - 5*h + 1232. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/9 + -2)*-36. Solve 3*h = -h + 4*p - n, 4*h - p = -9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*f - 7. Suppose -18*b = 43*b - 36*b - 1325. What is the remainder when b is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6413, -6420, -6437, -6470, -6525?\nAnswer: -6608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122740 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, k: 8, e: 6, g: 3}. What is prob of sequence ek?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -19863687 divided by 6621229\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, m: 3, h: 1, r: 1, f: 1}. Give prob of picking 2 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 115892698 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -54474*r + 871585. What is v(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 19149463?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -172 + 161. Is (1\/(-2))\/(z\/10846) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 430\/(-172)*16\/(-10). Solve -2*b = -l, -35 = -2*a + 3*b - 49 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0834? (a) 2\/11 (b) 9 (c) -1 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 12\/34*649\/(-33)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 22*d**2 - d + 27. Determine x(22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unu when three letters picked without replacement from ugnu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.073 + -0.065. Let i = w + 0.992. What is the closest to 2\/3 in -2\/3, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 129 = 3*n, 5*n - 3*f + 2*f - 215 = 0. List the prime factors of n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7617598 centuries in millennia?\nAnswer: 0.07617598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/9 (b) 0.3 (c) 5 (d) 4\/587 (e) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 242256898 to the nearest ten thousand.\nAnswer: 242260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/6? (a) 2.35 (b) -3\/5 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 196063 and 897802.\nAnswer: 232530718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**4\/9 + 4*o**3\/9 + 2*o**2\/3 + 21*o. Factor w(g).\nAnswer: 4*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79251*x**3 - 3385*x**2.\nAnswer: 475506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3008913, 3008982, 3009051, 3009120?\n\"Answer: 69*x + 3008844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229131 divided by 76377.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v**2 - v**3 + 12*v + 30 - 12 + 0*v**3 - v. Let h be r(-8). Let u(g) = -4*g - 10. Let m(k) = -5*k - 11. Let t(n) = 3*m(n) - 4*u(n). What is t(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45351.6906 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2 + 17*d + 16 = 0. What is d?\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 5*n + 4 + 2*n + 6*n + 0*n - 2 + n + 2 + (-n - n + 3*n)*(4 - 6 - 1) + 7*n - 3*n - 7*n to x*n + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 13*b**2 + 19*b - 84. Suppose 5*w - 2564 + 2577 = 4*c, 3*c + 5*w = 71. Give z(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52 - -57)*(1 + 1)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 17*a = -4*z - 20, -z + 25 = -3*a. Put 8, 3, a, -2, -6 in increasing order.\nAnswer: a, -6, -2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t + 34*t = 2*b - 4, 24 = 4*b - 2*t. Let f be ((-140)\/(-15))\/b*(-9)\/(-2). Solve 0 = 7*m + f - 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 14 = -2*p - 0*n, -2*n = -5*p - 7. Let c be (-16)\/(-60)*(-15)\/(-10). What is the nearest to c in 3, p, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - 2\/(-17)) + (4 - (-77712)\/102) is divided by 197?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - j - 12 = 0, 4*y = 5*j - 1 + 3. Is 201*(0 + y\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 3*c**2 + c - 1. Let z be d(2). Solve z*g - 5*i = -35, -g - 2*g - 25 = -4*i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.09 + 7.09. What is the third biggest value in 4, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*f - 1183 - 1715 - 2666 = 54*f for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41751 + 4?\nAnswer: 41755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 45 - 12 - 1995*x**3 + 1997*x**3 - 14.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -169 - -178. Suppose 7*n + 2*n = -q. Let b(f) = -7*f - 2. Let v be b(-1). Sort v, n, 2.\nAnswer: n, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1215, 2493, 3901, 5505, 7371, 9565?\nAnswer: 12153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/8)\/(4\/(-32)*2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97075619*b**2 - 203*b + 14159?\nAnswer: -194151238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 10)*((-p - 3*p + 3*p)*(5*p - 2*p - p) - 1 + 1 - 3*p**2).\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2792 is divided by (55\/(-165))\/(1\/(-381)).\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/4)\/(((-256)\/(-16))\/32)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 32 = -3*d. Is 18 a factor of 52\/6*102\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -828, -968, -1204, -1542, -1988, -2548?\n\"Answer: -n**3 - 42*n**2 - 7*n - 778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54817*v - 54829*v + 109649*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*l, 0 = -l + u - 2*u. Suppose -3*d - 46 + 196 = l. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 - 21*u**2 + 47*u - 148. What is the ten thousands digit of p(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67196.852 rounded to the nearest one thousand?\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 2\/475 (c) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -18*g**2 + 53*g + 15. Let y(k) = 9*k**2 - 27*k - 7. What is 6*j(z) + 13*y(z)?\nAnswer: 9*z**2 - 33*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.1. Suppose 74335*g - 48 = 74351*g. Which is the nearest to i? (a) g (b) 3\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 5553275\nAnswer: 3\/5553275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 341 - ((-6)\/4 + (-7)\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -177.4664 and 94.278.\nAnswer: -83.1884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7443 and 5?\nAnswer: 37215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3413.1 rounded to the nearest ten?\nAnswer: -3410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*f = -3*f + 15, 0 = 3*x - f + 13. Let g(r) = r**3 + 6*r**2 + 6*r - 10. Let z(d) = d**3 + 5*d**2 + 5*d - 9. Give x*g(h) + 6*z(h).\nAnswer: h**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 9. Suppose 16 = 2*p + 2*p. Let y = p + x. What is the highest common factor of 32 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 154 = 187. Suppose -w = -3*i - 16, 2*i - 11 = -4*w - 3. Let r = 0 + w. What is the lowest common multiple of s and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4937.9 + -4938. Let g be 6\/56 - (-2)\/(-8). Let s = 0.195 - -0.005. Which is the fourth biggest value? (a) g (b) m (c) s (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**4 + 663*r**3 - 657*r**2 - 4668867*r - 4667544 = 0 for r.\nAnswer: -72, -1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 582 + 111. Let i(o) = o**3 - 4*o + v*o**2 - 693*o**2 + 3*o - 6. Let f = -27 - -27. Determine i(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 2673386961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, y: 8, p: 1, k: 2, z: 6, f: 1}. What is prob of picking 1 z and 2 y?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g. Let z(b) = -2*b**2 - 2*b - 38. Calculate d(z(a)).\nAnswer: -14*a**2 - 14*a - 266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 656 = 3*t + 2*x - 95, 5*t - 4*x = 1259. Let s = t - 259. What is the closest to s in 2\/9, 0.05, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1822.8 + 0.4?\nAnswer: 1823.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8)\/(i**(-4\/13)*i)*(i**(2\/13))**(2\/33) assuming i is positive.\nAnswer: i**(-3725\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v. Let h be -1 + 3 + (-5)\/(-1). Let b(f) = 5*f - 3*f - h*f. What is b(z) + 3*c(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -5*r**4\/24 + r**3\/3 + r**2. Let s(k) = -k. Determine m(t) - 6*s(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3137727749.\nAnswer: 13, 277, 871349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 = 3*f + 5*s, f + 4*s = -0*f + 122. Suppose f = d + 2*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 31. Suppose -i*f + 6 = -124. Calculate the remainder when f is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*p - 3*s = -409*p + 18, -s + 19 = -4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 414 divide 82928340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, q: 7}. What is prob of picking 3 q?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11810?\nAnswer: 2, 5, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgsxhyx. What is prob of picking 1 y and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l*m**2 - 4*l*t**2 + 108*l*t - 2*l - 1282*m**2*t**3 - 27*m*t wrt t?\nAnswer: -8*l - 7692*m**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 631 + -3171\/5. Which is bigger: -3 or v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f. Suppose u = -2*u. Let s be l(u). Let b(t) = -t**2 + t + 4. What is the units digit of b(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t + 791 = 24*t. List the prime factors of t.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 204*c**3 - 56 + 16*c**2 + 4*c - 205*c**3 + 44*c. List the prime factors of j(18).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.101989ns to seconds.\nAnswer: 0.000000001101989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 1\/3, -4\/7, -1619\/18, -5, -1\/4, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdvqvdqdvddq. What is prob of picking 1 q and 1 v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p - 6*p - 4*p - 8*p + 29*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = 2*o - 62, -12 = 61*t - 59*t - 5*o for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (143 - 139) + -6 + 0 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 12:45 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-516)\/28 + 100\/(-1575)*9.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 525*n = -523*n - 8, 8*n = -k - 19 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23313.6 and 1.\nAnswer: -23313.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 - 39*y - 10. Calculate o(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, o: 5, x: 2, m: 5, w: 5}. What is prob of sequence wxw?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2\/4 - 25*r\/2 + 224 = 0.\nAnswer: -64, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47c - 1c?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 25*f**8\/21 + 9*f**5\/20 - f**4\/12 - 75*f**2. What is the third derivative of i(r) wrt r?\nAnswer: 24000*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -2\/11 (c) -1 (d) 0.032 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20509 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 334588.3 litres in millilitres?\nAnswer: 334588300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.732 + 6.73200375. Round n to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5784 - 5781. What is the fourth biggest value in -0.5, 4\/5, 17, v, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (128019\/2149 - 60)\/((-30)\/112)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-162)\/(-30))\/((-20)\/(-20)*2\/30).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -2 - (11 - (-8 - -5 - -20))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(130) + sqrt(130) + sqrt(130))*-5 + sqrt(130) + (sqrt(130)*1 + sqrt(130))*-1)\/(((sqrt(90)*2)\/sqrt(9) + sqrt(10))*3) + 2.\nAnswer: -2*sqrt(13)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-42)\/(-12) + 2\/(-4). Suppose -5*h = -z*b - 437, -4*h - 4*b + 356 = -8*b. What are the prime factors of h?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 3 = -8*k. Suppose 0 = -2*l + 2*n + 18, 3*n = 7*n + 20. Let 0 - 1\/2*d**l + 1\/2*d**2 - 1\/2*d**5 + 0*d + 1\/2*d**k = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 376, 457, 418, 253, -44?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in 5, 3\/7, -8\/9, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23521541 + 1?\nAnswer: 23521542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1788 is divided by 447?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 16 = -4. Let o = 7 - d. Suppose o*j = -1 + 7. Is 4 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 52.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -219*c - 168. Let a be t(-4). Suppose 4*k + 1135 = 5*b, 3*k = b - 4*b + a. List the prime factors of b.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 460215 - -4?\nAnswer: 460220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174065 is divided by 163.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109528, 219055, 328582, 438109, 547636, 657163?\nAnswer: 766690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/53235 and 185\/28392?\nAnswer: 425880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1006 or 0.47?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-99))\/(10\/(-6))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c + 16 = -52 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**3 - 72*z**2 + 2*z - 62. Determine i(36).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from {b: 1, k: 1, g: 9, s: 5, z: 2}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 - 234*b - 5917. Let j be a(-37). Let g = 4 + -19. Let z be 2\/(-10) - 48\/g. Solve 9 = -3*n - z*p, -2*n + j*n = 5*p + 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2697.5 times -0.07?\nAnswer: 188.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 18 + 3. Suppose 0 = -5*v + 34 + 61. Suppose -17 = -4*b - t, 3*b + t + 7 = v. Solve -x = 4*w + b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1533\/(-27) + 3\/3. Is o bigger than -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 23 = 3*z + z, 2*v - 19 = -5*z. Let g be (v\/33)\/(50\/4280). Let h = 38\/5 + g. Which is the closest to h? (a) 0 (b) -1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0579 - -0.702\nAnswer: 0.6441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**2 + 16*v - 27*v + 45 - 19*v = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/95 (b) -8.7 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2adbc (base 16) to base 10\nAnswer: 175548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5 - 3 - 1 - 21*w. Suppose 3*i = -5*q - 13, -i = -4*q + 6 - 13. What is the units digit of n(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7650 divided by 510\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 - 4038*n - 4043*n - 2*n**3 + 8081*n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(20\/(-12) - -1). Which is the closest to 1? (a) 1\/2 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**3\/3 - 3*l**2 - 7*l - 9. What is n(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -2*g**7\/7 + 12*g**5\/5 - 2*g**3\/3 + 6*g**2 + 57. Find the third derivative of l(h) wrt h.\nAnswer: -240*h**3 + 288*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 216 - 127. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 2*x + 2. Let p(r) = -15*r**2 + 33*r + 33. Let a(h) = 2*p(h) - 33*t(h). Let b(q) = -7*q**2. Calculate a(b(v)).\nAnswer: 147*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046456 times 0.4?\nAnswer: 0.0185824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*b - 823, 4*b = 2*z - 874 - 210. Let o = 383 + b. Calculate the smallest common multiple of 55 and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 11:16 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.54 - 1.56. Let l = -2 - p. Which is the nearest to l? (a) -2 (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 9:19 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 - 4*y**2 - 11*y - 13. Is b(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/57)*g*g**(-21)*(g*g\/(g**(-6)\/g))\/(g\/g**(1\/37)) assuming g is positive.\nAnswer: g**(-25177\/2109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(2 + sqrt(304)))**2 - 1*-2*sqrt(304)) + -6*((sqrt(304) + -1 + sqrt(304))*-1 + ((sqrt(304) + -1)*-6)**2) + 2.\nAnswer: -64652 + 1848*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/n**(-2)*n)**(5\/7)\/((n*n**(-1))\/(n*(n*n\/(n**(-9)*n))\/n)) assuming n is positive.\nAnswer: n**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*g**2 - 25*g**2 + 29*g**2)*(-4 + 3 - 1)*(-20*g + 0*g + g).\nAnswer: -684*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8495?\nAnswer: 5, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 180.04 - 180. What is the smallest value in 0.2, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u - 10. Is 8 a factor of t(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 53234 and 74.52.\nAnswer: 53308.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 629750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.1014426 days?\nAnswer: 8764640640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**3 - 2*q**2 + 4*q - 3. Calculate g(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67510 = 2988*x + 10514*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 153\/7. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-118)\/649 - 6452604\/(-22). Round u to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31\/(1023\/22)*(0 - -1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of -1 - ((-204)\/(-4))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 8:44 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + 1 + sqrt(34)\/sqrt(2) + ((1 + sqrt(68))*-4)**2).\nAnswer: -5505 - 325*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 81504026 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-26) + (-12905)\/(-1157). Let u(n) = 3*n - 4. Let h be u(6). Let v = h - t. Solve 0 = v*d - 7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n**2 - 3*n**2 + 7*n**2)*(20*n**2 + 23*n**2 + 6*n**2) in the form h*n**3 + p*n**4 + a*n**2 + f*n + x and give p.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = -5*a. Let n be (-10 + -2)*a\/(-9). Suppose 2*q + 4*h - 11 = -q, 0 = -n*h - 16. Solve 0*c - 3*c - q = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175018 is divided by 42062?\nAnswer: 6770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18 - (2 - (4 - 3)). What is the third smallest value in i, -2, 1\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183279.13 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by 465780\nAnswer: -29\/465780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 - -6 - -5 - (-13 + 23 - 9)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**2 - 1260469616*n - 198597956607398432 = 0.\nAnswer: -315117404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 164, 408, 2 in increasing order.\nAnswer: 0, 2, 5, 164, 408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 149, -3 in increasing order.\nAnswer: -3, 0, 2, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 22*v + 69. What is l(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1047*n**3*o**3*t - 2*n**3 + 113*n**2*o - 2097*n*o**3*t - 112*o - 4*t wrt o.\nAnswer: -6282*n**3*o*t - 12582*n*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 725596272 by 18.\nAnswer: 40310904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -76721.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -3*k**5\/20 - 19*k**4\/6 - 7*k**3\/6 + 7*k**2\/2 - 90*k. Is y(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 174 + -171. Let k(i) be the first derivative of -6*i + 3 - 5\/3*i**v + 0*i**2. What is the derivative of k(h) wrt h?\nAnswer: -10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-2\/17)\/(n**1)**33)\/(n**(-3\/2)\/n**(-6)*(n**(-1\/3))**(2\/7)) assuming n is positive.\nAnswer: n**(-1571\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118 - 117.9923. Round v to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s = 12. Let t = -260 + 252. Find the common denominator of s and t + 6 - (-79)\/9 - 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8673292.8 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -9*p. Suppose p = 5*i - 2*i + 18. Calculate the smallest common multiple of 11 and 69\/9 - (-4)\/i.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -86437, -173578, -260719, -347860, -435001?\n\"Answer: -87141*n + 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/9)\/((-6)\/(-423)). Let d(k) = 5*k - 2. Let t be d(-6). Let y = t + w. What is the highest common factor of 165 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404211 (base 5) to base 9.\nAnswer: 18816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -480316, -479735, -479154?\n\"Answer: 581*v - 480897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 38 + -9?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4417 - 13\/((-156)\/(-24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/5)*s)\/s)\/(s*s**(4\/5)*s))\/((s*s*s**(-1\/4))\/(s**4\/s)) assuming s is positive.\nAnswer: s**(-39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10764, 10764, 10762, 10758, 10752, 10744, 10734?\n\"Answer: -h**2 + 3*h + 10762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1800) - (1 + sqrt(1800) - sqrt(1800))) + ((sqrt(1800) - -2*sqrt(1800))*6 - sqrt(1800)))**2 + -1 + 0.\nAnswer: 3240*sqrt(2) + 583208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-1)*(-9)\/12. Suppose c*h - 5 = 2*h. Let l(u) = 7 - 4 - u + h. Determine l(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g**2 - 2*g + 1. Let i(z) = -2*z**2 + z. Let w(n) = 2*i(n) + r(n). What is w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 1. Let b(g) = 2*g**2 - 4*g + 3. Suppose 5*p = 2*c + 21, 0*c = 2*c + p - 9. Let i be b(c). Calculate the highest common divisor of w and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 at most 887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n - 6. Let u be y(-5). Suppose -g - 4 = -5*l - 3*g, 0 = -4*l + g - 2. Suppose -4*x + l*x = -4. Solve -9 = u*c - x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 3:57 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b - 296 = 586 - 1681 for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 1. Let h be y(1). Solve 2*n + h*n = 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 1, c: 1, y: 2}. What is prob of sequence cq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -366.3 + 349. Let k = s + 22.3. Which is the nearest to 1.6? (a) k (b) 2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiilrnimiunrinnnliir. What is prob of sequence rinn?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*m**5\/2 + 2079*m**4\/2 - 5487*m**3\/2 - 5895*m**2\/2 - 675*m = 0 for m.\nAnswer: -3\/7, 0, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*s**2 + 314 - 314 + (4*s + 2*s - 4*s)*(-s - s + 3*s) - 1 + 1 + 2*s**2.\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 23*o**8\/56 - 19*o**4\/12 + o**2 - 5*o + 4. Find the third derivative of t(w) wrt w.\nAnswer: 2760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5183734867?\nAnswer: 59, 87859913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -753 or -754?\nAnswer: -753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5 + 5*j**4 - 6*j**3.\nAnswer: -j**3*(j - 3)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-840)\/(-26250)*-2*(-10)\/4.\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d - 1. Let r(k) = -43. What is 43*o(x) - r(x)?\nAnswer: -86*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**2 - 1. Let g be k(-1). Suppose 22 = -5*i - 3*t, -5*t - 13 = 4*i + 15. Let a be 14\/(g\/i) + -2. Which is smaller: 6 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2. Let l(u) be the second derivative of -7*u**5\/60 - 55*u**3\/3 - 60*u. Let x(d) be the second derivative of l(d). Give q(x(c)).\nAnswer: 196*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -s + 4. Suppose s*u + 3*i = 6, 0*u = 5*u - 4*i - 46. Let n be (-3)\/u*-6 + 2. Solve 16 = -n*c + c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 11*h**2 - 8*h - 19. Let x be r(10). Sort 16, x, -4 in ascending order.\nAnswer: -4, x, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 8, 3*f - 5*a = f + 22. Let v be ((-330)\/220)\/(6\/(-124)). Calculate the highest common divisor of v and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 38*h + 62. Determine o(-40).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-156)\/(-18))\/(2\/(-48)). Let m be (6\/4)\/((-39)\/o). Let t(u) = -m - 2*u + 8. Let w(z) = -z**2. Calculate w(t(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 2*f + 88. Let n be g(0). Let l = n - 46. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 410 divide 1911028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/312 and 77\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-35))\/((-17)\/714). Let t(f) be the first derivative of -21\/5*f**3 - 12\/5*f - 2 + 147\/20*f**4 - x*f**2. Find o, given that t(o) = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5\/2 - 2*w**4 + 47*w**3\/2 + 32*w**2 + 8*w = 0. Calculate w.\nAnswer: -4, -1, -1\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1*2*sqrt(168))\/(6*-1*sqrt(216)))**2.\nAnswer: 8*sqrt(7)\/9 + 1303\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*t - 8. Let x(g) = g**2 + 7*g + 3. Let m be x(t). Suppose 4*p - 4 = -3*f - f, 4*f - m*p - 32 = 0. Solve -z + f*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -168 or 2984\/9?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 9. Let m(k) = k**3 - 6*k**2 - 9*k - 8. Let i be m(t). Suppose 3*q + u - 148 = 0, -5*q - u = -196 - i. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7925006 - 7925020 + 157*b - 4*b in the form j*b + m and give j.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 3. Let j be 9*(l\/(-9) + -2). What is the highest common factor of 96 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 418 - 38?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**3 - 6*v - 7. Let t(j) = j**3 + j**2 - j + 3. Let y be t(0). Let p(g) = -g**y + 2*g + 2 - 4*g**2 + 4*g**2. Calculate -2*c(m) - 7*p(m).\nAnswer: -m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50099702 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 12 = -h. Suppose -5*j - 3*k = 2*k + 55, -h*j + 4*k = 44. Let c = j + 53. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -3\/14 (c) 0.1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -27031548 and -27031546 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2010 + -15997\/8. What is the common denominator of f and -67\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1905 - 18*16\/72?\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 9*s. Let i be k(9). Let t(h) = -h + 13. List the prime factors of t(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 4*a**4 - 87*a - 32. Find the first derivative of u(q) wrt q.\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134500\/63 - 19202\/9. Find the common denominator of i and 121\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = 0, 6 = -3*l + m - 6*m. Which is the closest to -1? (a) -0.3 (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, d: 4, u: 2, j: 6, g: 2, s: 4}. Give prob of picking 1 u, 1 j, and 1 g.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 a when three letters picked without replacement from pupakapaqpap.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 5*b**2 - 5*b - 4. Let y be k(6). Let o be 38\/14 + y\/7. Let t = 89895.5 - 89895. What is the smallest value in o, -2\/15, t?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5392*-0.2859\nAnswer: -1541.5728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 3*h**2 - 2*h - 4. Let o be f(-4). Let g be (-4)\/o + 3\/(-9). Let b(w) = -3*w + g*w + 5*w. Let v(n) = -15*n**2. What is v(b(c))?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1317985.\nAnswer: 5, 263597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -490, -586, -746, -970, -1258, -1610, -2026?\nAnswer: -2506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(1\/21)\/n*n)*((n\/n**(-6))\/n*n)\/n)\/(n*(n*n\/(n\/n**(-2)*n))\/n)**(-4) assuming n is positive.\nAnswer: n**(-22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 929953397 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-20))\/((36\/6)\/24)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000821 to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -1375 and 0.005.\nAnswer: -1374.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 6:26 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 52 + 3)*(2*n**5 - 3*n**5 + 0*n**5 + (-3*n - 3*n + 3*n)*(4*n**4 - 2*n**4 - 3*n**4)).\nAnswer: 86*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/5 + 14*q**2\/5 + 5*q + 12\/5.\nAnswer: (q + 1)**2*(q + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*a = -23*a + 12656 - 4853 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -12305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2. Let g(x) = 38*x**2 + 32*x + 107. Let n(o) = -50*o**2 - 42*o - 147. Let z(w) = 11*g(w) + 8*n(w). Calculate z(u(m)).\nAnswer: 18*m**4 + 16*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/25*120\/48.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 2*v**2 + 2*v. Let c be s(-3). Suppose y - 748 = -c*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuj when three letters picked without replacement from etuutltjtyytyttt.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4948 - -3120. Let c be n\/(-180) - 3\/5. Is 10 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-6)\/(-328928))*(-767 + 142). Round d to the nearest 1000000.\nAnswer: 103000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63030574294 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y. Let g(c) = -4715789*c. Calculate i(g(p)).\nAnswer: -18863156*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 3*d - 25 = 0. Let v be (6 + (-66)\/9)*(-48)\/16. Solve 3*j + w + 0 = d, -3*w = -v*j + 24 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 f when four letters picked without replacement from {y: 1, f: 5, q: 4, k: 6}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 2*q - 31 = -2*z, -q - 25 = -2*z. Solve z*y - 3*y = -9*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33 and 90.48712.\nAnswer: 2986.07496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 82879288 to the power of 1\/3, to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from {c: 1, n: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one quarters of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.113 - -1622\nAnswer: 1621.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41826*v - 8036*v + 13553*v - 5536*v.\nAnswer: 41807*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7289.839 centimeters in nanometers?\nAnswer: 72898390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 - 65. Suppose f*s - 10 = 28. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -159*g**3 - 83*g + 2?\nAnswer: -954*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f**4 - 30*f**3 + 176*f**2 - 168*f + 7. Let a(c) = 7*c**4 + 29*c**3 - 170*c**2 + 168*c - 6. Let n(u) = -7*a(u) - 6*v(u). Factor n(o).\nAnswer: -o*(o - 3)*(o - 2)*(o + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3905 + -3905. Sort -1, x, 35 in ascending order.\nAnswer: -1, x, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 - 34\/10. Is ((-1)\/w)\/((-1)\/(-57)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 37*o**3 - 6*o**2 - 28*o + 73. What is the thousands digit of q(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**19)**16\/(q\/(q\/(q**5*q)))**(-44) assuming q is positive.\nAnswer: q**568","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 - k**2 - 3. Let a(j) = 448*j**3 + 2*j + 5807. Let w(g) = a(g) - 3*t(g). What is the first derivative of w(o) wrt o?\nAnswer: 1326*o**2 + 6*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.981 + -0.019. Sort g, 0.4, -1\/8 in descending order.\nAnswer: 0.4, -1\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from ducxxfh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/2)\/(6\/60). What is the greatest common divisor of 125 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x + 4*x - 4*x + 4*x**3 - 3*x.\nAnswer: 4*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeeeejeeejee. Give prob of sequence jeej.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (61 - (8 - -74)) + (7 - -35)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*x = -60, -5*x = -4*x. Suppose z*s - 8543 = 5*j + 15*s, 2*j + 4*s + 3420 = 0. What is j rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) + (-41)\/3. Let s(w) = -2*w**2 + 4*w + 9. Let y(q) = -10 + q**2 + 467*q - 469*q + 6. Determine n*y(g) - 6*s(g).\nAnswer: -g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*i - 57*i = -7. Let d(o) = 2*o + 4. Give d(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 5 = 0, 4*g - 516*z + 116 = -512*z for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - (2 - (2 - 2)). Solve -c*k = -4, -4*m + 5*k = m + 15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 194, 3, 4, -57, 8, -3 in increasing order.\nAnswer: -57, -3, 3, 4, 8, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123962.\nAnswer: 2, 61981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-189)\/(-147))\/((42\/(-6))\/49)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -20*h**2 + 8*h + 8. Let m be u(-1). Let o = 345 + m. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -708*w - 712*w + 1417*w - 7. Determine t(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-12 - 2) - -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(3078))\/((sqrt(242)*-2 - sqrt(242) - sqrt(242))*3).\nAnswer: -9*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 6 = 7*k - 5*k, 12 = k - 4*y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**2*r*r*r**(-1\/3)*r*r assuming r is positive.\nAnswer: r**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21*-3\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -394. Let w = -235 + y. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11555 and 33.\nAnswer: -381315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxw. Give prob of sequence xwx.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q = 42. What is the remainder when 54 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r - 8. Let c be v(6). Suppose 7210 = -c*q + 45166. Is (q\/(-6))\/((-3)\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a centimeter in micrometers?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 608244?\nAnswer: 1824732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 354*a*l**3 + 89*l**3 + l**2 wrt a?\nAnswer: 354*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**7\/4200 - t**6\/360 - t**5\/100 + t**3 - 13. Let m(h) be the third derivative of s(h). Suppose m(n) = 0. What is n?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 29*m**2 + 12*m - 9. Let v(n) = 7*n**2 + 3*n - 2. Let k(y) = -2*j(y) + 9*v(y). Let d(r) = 21*r**2 + 13*r. What is 6*d(a) - 26*k(a)?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/5 + 1485448*t**3\/5 + 73551759660*t**2 + 6069809931237000*t - 6069883483293750.\nAnswer: 2*(t - 1)*(t + 247575)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2992 - 1257. Let v = 9428 - 10361. Let q = v + k. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(-47)*i\/(i*i\/i**(2\/3))*i\/i**4 assuming i is positive.\nAnswer: i**(272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 4*s**5\/5 - s**3\/3 + 47*s - 69. Differentiate o(x) with respect to x.\nAnswer: 16*x**3 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430781 to the power of 1\/2, to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -18.000142. What is w rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 z, and 1 g when four letters picked without replacement from {z: 3, g: 1, t: 10, y: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -15*o**2 - 5*o + 9. Let k(t) = -6*t**2 - 2 + t + 15*t**2 - 5*t**2. Let p(f) = 9*k(f) + 2*r(f). Find the second derivative of p(s) wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/2)*u\/u**(-3\/2)*u**(-1\/2)\/u*u\/(u*u**(-1\/4)\/u*u))\/((u**3\/u)\/u**(-3)*u**(-6)*u*u*u\/u**(4\/3)) assuming u is positive.\nAnswer: u**(25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 5*c**2 + 3*c + 2. Suppose 0 = 2*l + 2 + 212. Let q = 111 + l. What is w(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23\/2 + 157\/14. Let l = 14 + -14.6. Let j = 0.9 + l. What is the second smallest value in j, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1625*w**2 + 6496755*w + 19990.\nAnswer: 5*(w + 3998)*(325*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0)*-1 + 0. Let s(p) = -p - 1. Let w(n) = 3 - 8*n + 12*n + n. Determine h*w(u) + 4*s(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 55476583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102.1 - -102. Which is the closest to -14? (a) o (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*n + 65 - 11 = 0. Solve n = -12*i + 13*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 149, 213, 275, 335, 393, 449?\n\"Answer: -c**2 + 67*c + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.0503? (a) 13 (b) -1\/12 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1069*y + 1082. Suppose 2*a - 38 = 58. Calculate the remainder when a is divided by b(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11921, 23841, 35761?\nAnswer: 47681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-9) + (-11680)\/(-72).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6738.07657 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (3 + (-5883)\/2)\/((-200)\/(-16) + -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Suppose 9 = w + 5. Let f(n) = 4*n**2 - 6*n + 6. Let r be f(w). Suppose r = 2*y - 4*h, 3*h - 111 = -3*y - 6. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -588?\nAnswer: 235.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.8924 nanoseconds in milliseconds?\nAnswer: 0.0000718924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(140\/(-63)))\/(2\/4). Let s be k - ((-7 - -4) + 4 + -5). What are the prime factors of 6\/(-5)*(-230)\/(7 + s)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.04, 3, 0.11, 1\/896, -0.4?\nAnswer: 1\/896","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 15*v. Let f be u(14). Let t = f - 22. Let q(k) = k**2 + 5*k - 9. Let b be q(t). Solve 5*a = 3*s + 25, -s = 2*s + b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3242831 to the nearest integer?\nAnswer: 1801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 = 13*c + 49 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -47*u + 420. Determine m(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1462 divided by 561\nAnswer: -86\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42461\/297227 + 2*713\/14.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 338 - 598. What is the common denominator of k\/(-12) - (-6)\/9 and -50?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -270 - -273. Let a be (u + -1)*181 - 1. Which is bigger: a or 360?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.5, 3, 2\/3, 0.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3946? (a) -344 (b) 3\/7 (c) -3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 363 in 3\/7, -0.1, -3\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.035 * 6754.\nAnswer: -236.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j + 7*j - j**2 + j - 5. Let b(g) = 4*g**2 - 4*g + 21. Let k(o) = -2*b(o) - 9*d(o). Calculate k(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 2. Let q be z(7). Let b(t) = -5 - 6*t**2 - 1 + t**3 - 3 - q*t + 2. What are the prime factors of b(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*g + 44*g - 16 + 187*g.\nAnswer: 270*g - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 5*b**2 - 7*b + 42. Let x be v(6). Let z(d) = -8*d - 236. Is z(x) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516 - 706 = 10*o for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/13860 and 47\/9684.\nAnswer: 3728340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110001100 (base 2) to base 16.\nAnswer: -98c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tccccccccccccccctccc. What is prob of picking 1 t and 1 c?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a + 3. Let v(h) = -h + 1. Let d be v(-3). Suppose 5*o + 4*g + 36 = 0, -2*g - 2*g = d*o + 32. List the prime factors of c(o).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -10*h + 1. Let p = 12 + -13. Let u be n(p). What are the prime factors of (-15 + u)*3*-1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 1074?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2310*b - 2285*b - 600 = 0 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 3, 1614, -3.\nAnswer: -3, 3, 26, 1614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12770 (base 8) in base 15?\nAnswer: 19ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 7*z**3\/6 + 5*z**2\/2 - z. Let r(q) = -2. Let g(a) = a + 6. Let v(c) = -3*g(c) - 8*r(c). Determine 15*v(d) + 6*x(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*j - 10. Let w(n) = -3 + n**2 + j + 5 - n - 1. Let d(z) = z - 6. Let g be d(6). Give w(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t**4\/7 - 570*t**3\/7 + 1023*t**2\/7 + 3084*t\/7 - 2340\/7 = 0. Calculate t.\nAnswer: -65, -2, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -1 + -12 + (-2 - -12) + -13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*(sqrt(175) + -1) + -5*-1*sqrt(175) + -3)**2 + -5.\nAnswer: -2550*sqrt(7) + 39659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*v + 602*v**3 - 5 - 7*v + 5*v - 9*v wrt v?\nAnswer: 3612*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 39) + (24 + -40 - -140)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 9) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1 - 35*r - 4 + 155*r.\nAnswer: 120*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-2 - (-5 + 6 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (-2*sqrt(500) + sqrt(500) + -2 + sqrt(500) + -1 + 4)*-2)*6*-2)**2*5.\nAnswer: 35280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 11. Suppose s*n = -0*n + 1256. Is 27 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (15 - (0 + 1 + -1)) + (-133 - -130) and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.04 + 0.04. Let p = 39 + -36. Which is the closest to -1? (a) 2\/9 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000045677 to 6 decimal places.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3637 - 3625. Let m = 132 + -78. What is the remainder when m is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from npndqbd?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9332273 micrometers to millimeters.\nAnswer: 0.0009332273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 - 123. Calculate the highest common factor of 584 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 639307 - 329330. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.019, 2\/11, 25, 0.007 in ascending order.\nAnswer: -8, -0.019, 0.007, 2\/11, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*(sqrt(875)*-3 + sqrt(875) - sqrt(875)))\/(1*sqrt(605) - (sqrt(245) + (2*sqrt(245) - sqrt(245)))).\nAnswer: -75*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -396 or -394?\nAnswer: -396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.04 and 412638 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o + 10 = 2*o. Let v be (-2 + -6 - o) + -8323. Round v to the nearest one hundred.\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 308.7798 months?\nAnswer: 0.02573165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-14898)\/7821 - (-803)\/8833?\nAnswer: -1\/237","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 2. Let h be g(7). Let l(r) be the first derivative of r**4\/4 + 4*r**3\/3 - 3*r**2\/2 - 2*r + 604. Determine l(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 + -84. Let s(k) = k**2 + 9*k + 1. Let q(g) = -g**2 - 18*g - 2. Let x(b) = l*q(b) - 7*s(b). Differentiate x(m) wrt m.\nAnswer: -6*m + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-61)\/((-427)\/(-245)) + 8\/1. Is d equal to -1\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14713 equal to -14711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 46. Let t be 5\/(-1 - c) + 490. Suppose 5*g - 139 - t = 0. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/25 + (-1)\/(-5). Let t be (-23)\/(-2) - ((-315)\/14)\/(-15). Let s(q) = 18*q + 10 - q - t. Calculate s(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 + 52\/(-12) - 1057\/(-21) is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z - 154 + 154 in the form p*z + r and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 14*f - 17. Let y be x(16). Let s(r) = -4*r - 6. Let l be s(-3). Solve 4*t = t + y, l = 2*c + 2*t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5 = w - 2*i, -3*i - 1 = -w. Suppose -4*v - 64 = -5*b, -w*b + 3*b - 3*v + 28 = 0. What is the highest common divisor of 40 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) + sqrt(2)*-1 + sqrt(2))*4 + -2)*5 - (1*-1*sqrt(24))\/((-1*sqrt(84))\/sqrt(7) - sqrt(12)))**2.\nAnswer: -390*sqrt(2) + 1721\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12835\/52824 + -33\/568. What is the common denominator of ((-159)\/(-18) - 4)*(-8)\/(-6) and g?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**5 + j**5 - 4*j**5 + (3 + j**4 - 3)*(1343*j - 173*j + 513*j).\nAnswer: 1684*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4391, 4169, 3895, 3569, 3191?\n\"Answer: -26*q**2 - 144*q + 4561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5662 - 112?\nAnswer: 5550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-4))\/y*y**(-1)*(y\/(y*y*y**(2\/3)*y*y))**(-3\/4))**(-50))**(-2\/9) assuming y is positive.\nAnswer: y**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 429, 453, 471, 477, 465, 429, 363, 261?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 6*x**2 + 7*x + 18. What is m(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -1)*(3 - 1). Let t = 4\/31 + 96\/217. Let r = 256.2 - 256. What is the nearest to p in -5, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6403 + 2273 = -2*l. Calculate the remainder when l is divided by 256.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 57 (b) -13 (c) -0.083 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1089 or 0?\nAnswer: 1089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - (-10 + (-7 - 5) + 8)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 4*g - 1. Let n be z(5). Let i(y) = 5 + 5000*y - 5. Let d be i(n). Round d to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (7 - 15 - -13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**3 - 40*r**2 - 87*r + 319. Give k(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2813546.\nAnswer: 2, 1406773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 1, r: 2, k: 7, v: 4}. What is prob of picking 1 r and 1 n?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-248)\/(-217)*(3\/4 - 1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49287139?\nAnswer: 11, 4480649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 1330298.\nAnswer: -5321192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10044444 (base 5) to base 3.\nAnswer: -11010110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o - 12. Let p(w) = -w + 4. Let b(y) = -4*p(y) - t(y). Let s(c) = 0*c**2 - 2*c**2 + c**2. Give b(s(m)).\nAnswer: m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 + 585?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6733 * -9\nAnswer: 60597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 333\/12 - 3\/(-12). Let q = v - -2. What is the units digit of (-20)\/q + 94\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14212218 divided by 32.\nAnswer: 7106109\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) -14 (c) 2\/7 (d) -14\/1863 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*g + 153, 53*g - 5*w = 49*g + 103. Solve 168*z - g = 160*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 4:06 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - sqrt(475)*-2)**2 - (3*sqrt(133))\/sqrt(7) - ((5*(-1 + sqrt(931)))**2 - sqrt(931)*-2*-1).\nAnswer: -19025 + 361*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 22 = -0*a. What is the smallest common multiple of 3 and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + (41 - 10) - -37?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 190 (b) -2 (c) -4 (d) -5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2)*1*0. Suppose w = 5*h - h - 228. Let p = -1 + 39. Calculate the greatest common factor of h and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c + 4. Let a = 38 - 36. Let s(f) = f**2 - 3*f + 1. Let n be s(a). Let g(r) = 1. Let j(t) = -4. Let q(b) = -3*g(b) - j(b). Give n*i(p) + 4*q(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + (-5 - -4 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 4 - 176\/64. What is the third biggest value in 4, -6, l?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1756, 7027, 15812, 28111, 43924?\n\"Answer: 1757*w**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -2*y + 12, 27*d = 5*y - y + 174 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5817885158 to the nearest integer?\nAnswer: 76275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21, 72, 207, 468, 897?\n\"Answer: 7*j**3 + 2*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-17)\/(-108))\/(14\/(-21)) and 61\/12?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 4. Let d be p(0). Let u = d + 30. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -28*q**3 + 11*q**2 - 44*q + 385. Let z(w) = -5*w**3 + 2*w**2 - 9*w + 77. What is -2*t(d) + 11*z(d)?\nAnswer: d**3 - 11*d + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 103 = 3*n + 4*w, w - 41 = -n. Suppose 0 = -5*u - n + 12, 5*u + 75 = 5*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxxyxgyxtx. Give prob of sequence xnt.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 1 + 7. Suppose -y*p + 291 = g, -3*g - 132 = -p + g. Calculate the highest common factor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7644 = -207*a + 211*a. List the prime factors of a.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w = -66*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*w**2 - 132*w**2 + 382*w + 46*w**2 + 45*w**2.\nAnswer: w**2 + 382*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 5*r + 3 + 6 = 0, -2 = -2*r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*(21*c - 11*c - 14*c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**3 + 216*o**2 - 42*o - 104. What is the hundreds digit of i(71)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9618545657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**3 - 4*u**3 - 7*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -290*z + 1137 + 313 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15283 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + 4*-2*sqrt(252) - 4*sqrt(1008).\nAnswer: -90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by (-665)\/(-20) - 9\/(-12)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(5\/(45\/(-3)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -519192850 to the nearest 1000000.\nAnswer: -519000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9275, -8526, -7277, -5528?\n\"Answer: 250*j**2 - j - 9524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -452 + 153. Let y = -296 - g. Find t such that 3*t**3 + 17*t + 83\/4*t**2 + y = 0.\nAnswer: -6, -2\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 (base 8) in base 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 98*y + 24. Let j be v(1). Let d(g) = -g**3 - 2*g**2 + 1. Let m be d(-1). Suppose -j = -b - u - 3*u, m = -5*b + 5*u + 735. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70*b - 86*b**5 + 0*b + 71*b**5 wrt b.\nAnswer: -300*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4666243817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 105 + 1505?\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1. Suppose 2*l + 22 = 3*l + 4*i, -5*l + 3*i + 64 = k. Let h = -25\/2 + l. What is the third smallest value in h, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (6\/(-8))\/((-3)\/132) and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 24 = 9. What is the lowest common multiple of ((-2)\/6)\/(4\/(-24)) and s + -3 + 2 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18 + (9*-1)\/(-3). Suppose 0 = 3*h - 4*y - q, 2*y = -3*y - 15. Let w = h - -2. Solve 0*x = -x, -5*r + x = -w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -768413 and -1.\nAnswer: 768413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/12)\/(-1)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1150 = -24*a + 120*a - 770 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5)*-4)\/(34*(-1)\/(-17))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, -1, -43\/2 in increasing order.\nAnswer: -43\/2, -1, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42587942?\nAnswer: 2, 21293971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1\/12)*r*r)\/r)\/r**(-12))\/((r*r\/r**(3\/13))\/(r*r**5)) assuming r is positive.\nAnswer: r**(2675\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185285 = -1215*k - 276410 for k.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(90\/(-12)*(-26)\/130)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 8*p + 7. Let n(w) = 4*w + 0 + 1 + 0*w - 3*w. Calculate the remainder when f(5) is divided by n(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 1 = -t, 3460*v - 473 = -18*t + 3461*v for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.2 - 17. What is the biggest value in h, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/20)\/(3\/(-2)). Which is the third biggest value? (a) -5\/3 (b) -0.2 (c) 1\/2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8373*s**4 + 10*s**3 + 3*s**2 - 6 + 3*s + 29*s**3 - 3*s**2 - 8378*s**4 to the form v*s**3 + o*s**4 + k*s**2 + i + t*s and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 14*z + 3*z**2 - 3 + 7*z + 13*z**3 + 16*z + 3 to the form t*z**2 + f*z + d + y*z**3 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 6*p. Suppose -324 = -p*j - 2*j - o, 0 = 3*j + o - 486. Let g = -94 + j. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 14*v**2 + 8*v - 3. Calculate g(4).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-14) - 99\/(-462)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 554.5 * 3\nAnswer: 1663.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpc when three letters picked without replacement from topoicq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = -34*a + 49*a - 18 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -54*f**4 - 522*f**3 - 141*f**2 + 255*f - 63. Let h(i) = -27*i**4 - 260*i**3 - 70*i**2 + 128*i - 31. Let q(z) = 4*g(z) - 9*h(z). Factor q(y).\nAnswer: 3*(y + 1)*(y + 9)*(3*y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*k + 28681 = 128681, -2*k = -5*q + 100020. Is q a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lleellll. What is prob of picking 2 e and 2 l?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**2\/y*y)*y**(1\/4))\/(y**(3\/7)*y*y*(y\/((y**(2\/31)*y)\/y*y))\/y*y))**10 assuming y is positive.\nAnswer: y**(-17855\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 11) to base 8\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 14. Let s be n(-9). Suppose -s = -q + 6. Calculate the smallest common multiple of q and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = b + 2*k - 24, -2*k + 28 = 5*b. Suppose b*g + 2*h = 4 + 2, -1 = -3*g - 5*h. Suppose -g*i - 6 = -y, y - 10 + 2 = 3*i. Solve 0 = r - y*r + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(47 - 47 + 5*x**5)*(-2 + 5 - 2).\nAnswer: -5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (-15)\/25)*(-20)\/8. Let y(f) = 240*f. What are the prime factors of y(z)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1020011302321 (base 4) to base 8\nAnswer: -110056271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.985707l to millilitres.\nAnswer: 7985.707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*b - p - 2460, -513 = -b - 4*p. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*y - 24 + 48 - 20 to the form d*y + x and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -229 - -357. Let r = p + -127.99999384. What is r rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 8 = 4*f - 23, 3 = a - 4*f. What is the biggest value in -2, a, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n*n**(1\/2)*n*n)*n\/(n\/(n\/(n\/(n*(n**14*n*n)\/n))*n*n))*n*n*n**5*n\/n**(2\/97) assuming n is positive.\nAnswer: n**(4361\/194)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -110*p - 4. Let f be c(3). Let v be f\/(-4) - (-6)\/12. Let w be 2\/6 + v\/18. Solve w*t + 9 = 34 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*l**2 + 18*l**3 - 62*l**3 - 15*l**2 + 52*l**3 - 15*l**2.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1374844832 to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -111, 12, 373, 1092, 2289, 4084?\n\"Answer: 20*g**3 - g**2 - 14*g - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/1652 and -71\/36.\nAnswer: 14868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -133441.47 + 133441.54000029. Let z = 0.53 + -0.6. Let a = b + z. Round a to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/775 + 849\/28675. Let g = -39\/74 + z. What is the nearest to 0 in -2.1, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + ((-22)\/10 - -2). Let y = -3 - -2.6. Let m = -0.1 - y. Which is the nearest to t? (a) 5 (b) m (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 17*b**2 + 12. Let f be z(-17). Let x(j) be the second derivative of j**3\/2 + j**2 + 10*j. Does 19 divide x(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4445896.35 and -3737.6?\nAnswer: 4442158.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/7, -4\/3, -0.2, -5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(4*sqrt(68) + sqrt(68)) - -6*(0 + sqrt(68))).\nAnswer: -18*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6996129cm to micrometers.\nAnswer: 6996.129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/43? (a) -0.3 (b) 5 (c) 0.4 (d) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20168\/45 - -2257\/5. Calculate the common denominator of z and (-10)\/6*(5022\/(-20))\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -4. Let b(x) = x**3 - 2*x**2 - x + 4. Let f be b(4). Suppose -f = -k - r*u, -2*u = 5*k + 2*u - 55. What is the greatest common divisor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2269 + 476. Which is greater: 2746 or u?\nAnswer: 2746","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35893.\nAnswer: 11, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 + 2)*(-2 - 2*s + 2) + (-6 + 3 + 4)*(-3 - s + 3) + 6*s - 2*s - 2*s)*(s**2 - 2*s**2 - 2*s**2) to the form k*s**2 + r*s + i*s**3 + m and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ec (base 15) to base 5\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000152516718 to 7 decimal places.\nAnswer: 0.0000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 159 and 9.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 257 + 211. Suppose u - 5*u + f = 0. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 - 0.14. Let a be -17 - (12 - 28) - (-35)\/31. What is the closest to -1 in a, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 421.54 - 415.7254. Let o = -0.0454 - i. Round o to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17086, -17087, -17088, -17089, -17090?\nAnswer: -17091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 318 divide 263940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**6*b)*b\/b**(-5))**(14\/11)\/((b**0*b)**36\/(b**(1\/2)\/(b*b\/(b\/((b*b**1)\/b))))) assuming b is positive.\nAnswer: b**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2242.9 + -2242.8. Which is the nearest to -1\/4? (a) l (b) 24 (c) -2\/13 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**7\/210 + x**6\/120 - 2*x**2 - 5. Let k(z) be the second derivative of m(z). Factor k(u).\nAnswer: -u**3*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 5. Let p = 0.04 - 4.04. Let t = k + p. Which is the second biggest value? (a) 5 (b) t (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 35, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1486423420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6*x = -4*x - 782, 5*x + 1270 = -5*q. Let g = q + 258. Solve 0 = -g*w - w + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-7)*i))\/(i*i**6)*(i**3)**(7\/2))**(-2\/9) assuming i is positive.\nAnswer: i**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 347\nAnswer: -69.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 6:19 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 = 4*x - 3, 0 = -x + b - 5. Let y be (1 - 0) + 2 - -1. Find the second derivative of -w + x*w**y - w - w**4 wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -v**3 - 248*v**2 + 148*v wrt v.\nAnswer: -6*v - 496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + x + 11 = -0*f, 0 = -7*f - 3*x + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*d - 0*d - 146, 5*d - 246 = -k. Let c = -44 + d. Suppose -3*q = -q - 4*l - 30, c*l = 2*q - 29. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 7*i**2 + 3*i - 15. Let y = 26 - 17. Calculate the remainder when c(-8) is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaiqaqiaqiaiqnaqn. What is prob of picking 2 n?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbb when three letters picked without replacement from wwbwwwbwwwwwwwb?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -165*d**3 - 30*d**2.\nAnswer: -990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 226, -2 in decreasing order.\nAnswer: 226, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 8008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-74)\/(-32))*2334\/(-2723)\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 11*o**5\/12 - o**4\/3 - 23*o**3\/6 + 13*o**2. Let m be l(9). Let r = m - 1729. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h - 159. Let c be u(17). Let n(f) = -f**2 - 6*f - 4. What is n(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 52. Let l be ((-6)\/4)\/(y\/(-288)). Let j = l + -13. What is the remainder when 12 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1907115*i**2*o**2 + 445307*i**2*o + 19*i**2 wrt o?\nAnswer: 3814230*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 9)\/(12\/(-24))*(-12 - (1 + -1)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - r - 4 + 5 - 2, 4 = -4*r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23482600861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -346409972 by -2.\nAnswer: 173204986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l. Let k(u) = -219390*u**2. Give f(k(i)).\nAnswer: 438780*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 2653824.\nAnswer: 13269120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-2\/13)*a**(-6\/11)*(a**(-1\/3)\/a)**(24\/11) assuming a is positive.\nAnswer: a**(-329\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyeeeepep. Give prob of sequence yeye.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19959729 > 19959729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**2\/3 + 41668750*h\/3 - 86814236328125\/3 = 0. What is h?\nAnswer: 4166875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Total of 0.7500792 and -0.18.\nAnswer: 0.5700792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1691 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 3*d - 3. Let w be l(-4). Let n(s) = 5*s**2 - s. Let m be n(w). Suppose -q + m*q = 29700000. Round q to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8500470 and 450.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 17470 * -7\nAnswer: -122290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97 - 96.8. Which is the nearest to -2? (a) t (b) -2 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437188 is divided by 48576.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*t + x, -5*x = -0*t + 3*t + 11. Let m be (0 + 0)\/(-1 + 0). Suppose m*h - 4 = -4*h. Calculate the remainder when t is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1. Let m be (0 - 2) + 2 + l. Suppose n - 4*n + 12 = m. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 2:49 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -49, 0, -1, 3 in descending order.\nAnswer: 3, 0, -1, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2. Let a(l) = -18*l**2 + l + 37. Calculate a(q(u)).\nAnswer: -288*u**4 - 4*u**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 158*b**3 - 2*b**2 - 5*b + 5. What is the units digit of r(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**3 - 20*j**2 + 69*j. What is the lowest common multiple of 8 and y(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -318 - -335. Calculate the remainder when 31 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -629, -2507, -5635, -10013?\nAnswer: -15641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**8*s**(-2\/5)*s**10*s**(1\/42) assuming s is positive.\nAnswer: s**(3701\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1366*m**3 - 27316*m**2\/5 - 16*m\/5 = 0. What is m?\nAnswer: -2\/3415, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p + 12360. Is 16 a factor of p\/(-55) + (-2)\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 0 + 0 - 6*n + 2. Let o be m(4). Let d = -12 - o. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-1 - (10 - 5)). Which is smaller: l or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15\/11 - -3\/22. Let q = -1371 + 1371.12. Which is the second biggest value? (a) q (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 7*c**2 - 4*c + 36. Does 12 divide i(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1780114976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 - 16334*w**2\/3 + 81628*w\/3 - 65296\/3.\nAnswer: 2*(w - 8162)*(w - 4)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152 - -157. Let v = -46 + 77. Suppose 1 = -f*l + v. Calculate the highest common factor of 15 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -4. Put 1\/3, -3\/4, q in descending order.\nAnswer: q, 1\/3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1560305 != -1560308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2583, -2585, -2587, -2589, -2591, -2593?\nAnswer: -2595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - t + 13 = 0, -c - 2755*t + 2754*t = -15 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, f: 3}. Give prob of sequence fff.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38925 and 44288?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 292063358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1529*0.3513.\nAnswer: -0.05371377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*t - 168. Suppose 117 + 702 = 13*h. What are the prime factors of (t\/h)\/((-4)\/174)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -54761, -54682, -54549, -54362, -54121, -53826, -53477?\n\"Answer: 27*z**2 - 2*z - 54786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 110162861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 2, -0.193?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d\/(d\/(d\/(d**(2\/13)\/d))))**(2\/111))**17 assuming d is positive.\nAnswer: d**(1700\/1443)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 255 and 76\/80*322 - (-3)\/30?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -a + 73, 3*v + 2*v - a - 80 = 0. Let t = 0 + v. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22891.\nAnswer: 11, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + p**2 + 2)*(-1 + p**2 + 1) + (2*p + p - 4*p)*(-4*p**3 + p**3 + 6*p**3) to the form d*p**4 + k*p**2 + f + c*p + j*p**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*j + 141*j - 57150 = 1095*j for j.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -935870.3 + 5.\nAnswer: -935865.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.44 from -55689.6750805.\nAnswer: -55689.2350805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 10*u**2 - 2*u + 71. Give i(9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105.8 - 105.34. What is the closest to 2 in -0.4, 2\/5, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 98\/3 - 14\/3*r + 1\/6*r**2 = 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t - 38. Let i be d(-20). Solve -5*l = i*v - l + 6, -5*l = 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 5*y**7\/14 + y**5\/10 + 253*y**4\/6 - 552*y. Find the third derivative of l(j) wrt j.\nAnswer: 900*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/580680 and -31\/54000?\nAnswer: 87102000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14799611 to the power of 1\/2, to the nearest integer?\nAnswer: 3847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 610, -3, 64, 11 in descending order.\nAnswer: 610, 64, 11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47.1 + -3.9. Let o = -0.1533 - -51.7033. Let y = x + o. What is y rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 0*z + 4*z)*(-4 + 1 + 1).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*c - 79 - 26 = 77*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 14 - 5 + 0*r + 11.\nAnswer: -3*r + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 530, 1201, 1872, 2543, 3214?\nAnswer: 3885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -1\/3*b**3 + 3\/2*b**2 - 3 + 0*b. Find the second derivative of s(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*g)*(-11 - 8*g**2 + 11)*(-6*g + 4*g + 3*g).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12\/101 - -337\/1414. Let p = 1227\/340 + -86\/17. Calculate the common denominator of t and p.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -14*c**2. Let s(h) be the second derivative of -h**4\/12 - 76*h. What is f(s(m))?\nAnswer: -14*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1993 + 8?\nAnswer: 199b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 541 - 119. Suppose i*n = 423*n - 2. Solve 0 + 1\/4*v**3 + v**n + v = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17990?\nAnswer: 2, 5, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 10 - (-14 - -19).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-35)*((-3 + 8 - 2*3) + 86).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50db03 (base 15) to base 14.\nAnswer: -720844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*m - 5208 - 4216 = 0. What is the remainder when m is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12092\/13 + 930. Let o = -26\/11 - -100\/33. Which is the third biggest value? (a) g (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -16, 81, 4 in increasing order.\nAnswer: -16, -2, 4, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 91*j - 887. Calculate k(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27\/5? (a) 2527 (b) -5 (c) 0.5 (d) -4 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 11*x. List the prime factors of k(14).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 8560248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -137 + 543\/4. Let p = -225.5 - -226. What is the nearest to -1\/2 in p, w, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 509.155.\nAnswer: 514.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111101111111011100001 (base 2) to base 9.\nAnswer: 3735412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.04 - -0.04. Let k = -132 + 1714\/13. Which is the second biggest value? (a) i (b) k (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 136*n - 7. Is i(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 12*g + 2539 = -2*n, -g + 4*n = -853. Find the second derivative of g*m + 45*m**4 + 2 + 46*m**4 - 826*m wrt m.\nAnswer: 1092*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 45\/(-40))\/(1\/(-4))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 16 = -24. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-9)*6)\/(4\/72). Suppose -g = -1 - i. Let q be -832*(g - 4)*3125\/(-3). What is q rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9*x - 1. Let c(t) = 4*t. Let q(o) = -14*c(o) + 6*z(o). Differentiate q(l) with respect to l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h - 3. Let o(a) = -15*a + 16. Let x = 358 + -346. Suppose -4*z = -2*k + x, -4*k + 6 = 10*z - 9*z. Give z*o(m) - 11*l(m).\nAnswer: -3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-388)\/((-5)\/(2\/2) - -4). Let b = 395 - v. Solve b = 6*y - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 2345. Let p = -1361 + k. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12211 + -114. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -19*l**3 + l**2 + l + 1. What is g(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -14, -24, -38, -56?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 29 = -64*w + 59*w, 3*g - 1 = w. Solve 0 = -5*f + 4*a - 6, 2*f - w*a - 3 = -19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172692, -345386, -518080, -690774, -863468?\nAnswer: -1036162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 918 and 409938.\nAnswer: 3689442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -11, 3, 5\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99*l**3*n**3*y**3 - l**3*n*o*y + l**2*n**3*o + 30*n**3*o*y**2 - n*o*y**3 - 2*n*o*y**2 wrt l.\nAnswer: -594*n**3*y**3 - 6*n*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001111000101000100110 (base 2) in base 3?\nAnswer: -121201021210212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3847 + -3847.2. Which is the nearest to 0.1? (a) -8 (b) -1 (c) q (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36335 + 36347. Let x(q) be the second derivative of -1\/3*q**4 - 11*q - 1 + 10\/3*q**3 - h*q**2. Determine w, given that x(w) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 + 0*s + 986*s**3 + 0*s - 984*s**3 to v*s + n*s**2 + z*s**3 + c and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from znnxwnznnwmzmzlxz.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnhxamnbhhmn. What is prob of sequence an?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4155053 + -5?\nAnswer: 4155044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 1400*q - 6125. Determine l(35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23393, 23358, 23323, 23288, 23253?\n\"Answer: -35*h + 23428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/30 - (-7)\/42\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - i + 4. Let y be q(0). Let k = -43.12 + 45.12. Which is the fourth smallest value? (a) k (b) 0.1 (c) y (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 317 in -2, 90, 1\/7, 2\/3?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58155737?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*z**4 + 5156*z**3 + 4*z**2 - 44107*z wrt z.\nAnswer: -528*z + 30936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*p**3 - 8884*p**2 + 4015*p - 354 = 0. Calculate p.\nAnswer: 3\/25, 1\/3, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -75, -79, -83, -87, -91?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 372589946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*r. Suppose 4*s - 6*s - 3*t = -4, -2*s + t = -12. Suppose c = -0*c - 3*v + 21, -s*c - v + 77 = r. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -280601.9942 + 280644. Let i = 0.61 + 41.39. Let g = k - i. Round g to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 24*p + 137. What is g(2)?\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 2\/3*k**3 + 1\/12*k**5 - 2*k**2 + 1\/120*k**6 + 0*k + 0 + 7\/24*k**4. Calculate z(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 68*n**2 - 385*n - 747. Calculate l(-62).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1150.17.\nAnswer: -3450.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 + 4*c**2 - c**2)*(-2*c - 4 + 4)*(0*c**2 + 3*c**2 - 5*c**2) + c**5 - 3 + 3.\nAnswer: 29*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in 0, -522, -0.3, 2\/5, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/21)\/(196\/(-840))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8712\/1056 - (-7 + (-1793)\/(-308)).\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6560 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -46 + 36 + -8 - -66\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n - 163 + 82 + 5*n**2 + 51. Let m(b) = -5*b**2 - 5*b + 29. Let k(h) = -5*m(h) - 4*o(h). Is 19 a factor of k(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285 = -11*z - 7*z + 3*z for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (138\/4554)\/(1\/102). Factor r*o**2 + 16\/11 + 50\/11*o.\nAnswer: 2*(o + 1)*(17*o + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + o = -34, -2*o = -b - 4*b + 33. Let t = 2 + b. Suppose 5*l - t = 1. Solve g = l*j - 10, 0 = 5*j - 0*j - 2*g - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 13*l**5\/20 - 5*l**4\/12 - 9*l**2\/2 + l - 64. Let z(f) = 7*f**3 - 3*f**2 - 5. Determine 4*s(x) - 7*z(x).\nAnswer: 3*x**3 + x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2382*i - 14 + 4 + 10 + 2387*i - 4771*i - 4*i**2.\nAnswer: -4*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 559.1 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*y, 41*t = 39*t + 5*y + 524. Calculate the highest common divisor of t and 400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2916364337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by 60?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(704) + -2 + sqrt(704) + -1)*-1 - (2*(1*sqrt(704) + sqrt(704)) - (((sqrt(704) + -2)**2 + sqrt(704))*-1 + sqrt(704)))).\nAnswer: -702 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 + -5 - -11) + (-33 - 48)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -31404, -0.876 in increasing order.\nAnswer: -31404, -0.876, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c**3 + 5*c. Let v(k) be the first derivative of -3*k**4\/2 - 2*k**2 + 69. Calculate 4*h(z) + 5*v(z).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*z**3 - 322 + 320 + 8*z + 15*z**3 wrt z.\nAnswer: 114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000215 rounded to 7 decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 4*x**2 + 5*x + 2. Let p be j(5). Solve 0 = -r + p*r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 + -78. Which is the second biggest value? (a) f (b) -1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (144\/(-528))\/((-6)\/(-4)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 8. Let l = -150.829 + 151. Let b = -0.029 - l. Sort -6, b, k in descending order.\nAnswer: k, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503.995048 rounded to one decimal place?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 4*z + 3*z)*(-z**3 + 2*z**4 + z**3) + (-297*z - 406*z + 1016*z)*(-z**4 + z**4 + 3*z**4).\nAnswer: 941*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - 46. Suppose -2*f - 6 = m*f. Let l be -6*(-17 + -2) - f. Calculate the greatest common divisor of l and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 3*f - 6, -f + 4*f = -p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188 by 4.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 645611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 5)*((-5*c + 6*c + 0*c)*(-1 + 0 - 1) - 2*c - 2*c + 2*c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6 = -4*v, 5*g + 4*v + 18 = -0*g. Let k be (4 - (0 - g))\/1. Differentiate 2*h**4 - k*h**4 + h**4 - 1 with respect to h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 11*f. Let q be i(5). Let w(g) = 11*g**2 + 186*g + 1620. Let r(m) = -100*m**2 - 1675*m - 14580. Let v(j) = q*w(j) + 6*r(j). Let v(y) = 0. Calculate y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -13340?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**5\/40 + u**3\/3 - 3*u. Let k(n) be the second derivative of c(n). Let a(i) = -5*i**2. Calculate a(k(x)).\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 j when four letters picked without replacement from {z: 4, o: 7, j: 3}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -580 + 241. Let d = c - -345. Solve -4*l - 3*g - 8 = -d*g, 0 = 5*l + g - 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3587 times -15\nAnswer: -5.3805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 118, -3, -2\/25, 14, 12\/59?\nAnswer: 12\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 525?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 29 = 21. Solve 2 = -4*t - 4*o + 18, 8 = 5*t + m*o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.3 - -3.30000064. Round l to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044744928 to the power of 1\/4, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -136 divided by 6752\nAnswer: -17\/844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -49. Let a be d\/(-5) - (-184)\/115. Solve -3*q = -w - 6*q + 2, -4*w = a*q - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -105 - 135. Calculate the greatest common divisor of 110 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 5962 = -14*v. Let w = v + -2435\/9. Let l = -0.6 + 0.1. Sort l, -1\/3, -0.4, w in descending order.\nAnswer: w, -1\/3, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.15 - 1.95. Sort 5, -0.4, n in ascending order.\nAnswer: n, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a**(-1\/3)*a))\/a)\/a)\/a**(3\/8))\/(a**(-2\/9))**(-5\/4) assuming a is positive.\nAnswer: a**(-167\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -49*n - 64. Let r(s) = -148*s - 191. Let k(u) = -11*c(u) + 4*r(u). Find the first derivative of k(d) wrt d.\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*x - 0*z + 3*z, 0 = -4*x + 2*z + 22. Which is the third smallest value? (a) -1 (b) x (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, -22, -27, 6, -12 in increasing order.\nAnswer: -27, -22, -12, -6, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**8)**(-2\/29))**(25\/7) assuming x is positive.\nAnswer: x**(-400\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34277 is divided by 1223?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004735249003 rounded to 6 decimal places?\nAnswer: 0.000474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**4\/7 - 134*a**3\/7 + 24*a**2\/7 + 1640*a\/7 + 2144\/7 = 0.\nAnswer: -67, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 33*b + 49. Let x be l(-36). Let r = x + -991. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**5\/60 + 21*m**2. Let d(i) = -5*i**2. Let a be (-4)\/10 - 28\/5. What is a*p(y) + d(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 10. Calculate the least common multiple of t(-3) and (-680)\/(-30)*(-3)\/(-1).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5*z**3 + 45*z**3 + 3 + 172*z**3.\nAnswer: 212*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*c*n**3 + 12*c*n**2 - 3*c*n + 1732*c - 20498428*n**3 with respect to c.\nAnswer: 12*n**3 + 12*n**2 - 3*n + 1732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 s when three letters picked without replacement from rnlxiss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 107821104.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/sqrt(6))\/sqrt(4) - sqrt(7))*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -42834000 divided by -5\nAnswer: 8566800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*i = -2, 3*c - 4*i + 1 + 1 = 0. Suppose -5*n + 5 = -10*n. Is c less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/(-4)*7 - -1 and (-2)\/2 - 78\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 41*t - 749. Calculate r(18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*l - 5*l. Suppose 5*x - l*x = -10. Let h(c) be the second derivative of -c**3\/6 - 4*c**2 + c. What is h(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -454*v**4 - v**3 + 366 with respect to v.\nAnswer: -1816*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, a: 1, d: 1, p: 1, u: 1, c: 2}. What is prob of picking 2 p and 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1106541 and 29127?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c\/((c**6\/c)\/c*c))\/c)\/c)\/(((c\/c**2*c)\/c)\/c)*(c\/((c**(-1\/4)\/c)\/c))**(-2\/55)*c**4\/c*c**(-5)\/c*c**6*c\/(c*c*c*c**(1\/11)) assuming c is positive.\nAnswer: c**(-133\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.567101 litres?\nAnswer: 2567.101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 1. Let r(i) = 2*i**2 - 6*i - 15. Let z be r(10). Let f = z + -86. Let l = 37 - f. Give q(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2. Let o(g) = -3*g + 5. Let r(l) = -2*l - 7. Let q(i) = -4*i - 6. Let b(f) = 4*q(f) - 5*r(f). Let v(w) = 6*b(w) - 13*o(w). Give v(j(c)).\nAnswer: -3*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4154*a**3*y + 142*a**3 + 39*a**2*y - 509*a**2 + 2*a*y + 3*a + 1 wrt y.\nAnswer: 4154*a**3 + 39*a**2 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.47711891886 from 0.1.\nAnswer: -2.37711891886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17802 and 4554.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2909.\nAnswer: 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1124062084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + n = -52, 3*p - 8*p = n - 76. Suppose p*s + 22 = 38. What is the smallest value in s, -0.4, -1\/3, 11\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -115, -170, -227, -292?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3219.7 - -3219.5. What is the nearest to x in -11, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -3\/2*o**4 - 2 - 12*o**2 - 20\/3*o**3 - 58*o - 1\/10*o**5. Solve r(g) = 0.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 - 3*r**2 + 19 - 7*r**2 - 1 - r**2 + 1 - r**2 + 2*r - 2*r + (4*r - 4*r + r)*(4 - 4 - 2*r) - r**2 - r**2 + r**2.\nAnswer: -15*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -4*r - 26. Let g(m) = m + 19. Let s be g(r). Suppose z + 4 = 4*z - t, -32 = -4*z - s*t. Solve 0*c = -5*a - z*c + 9, 0 = -a - 3*c - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*n + 16*n - 20*n in the form b + a*n and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 314 + 2?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 69321273 to the power of 1\/3, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-18) + 1100\/225. Solve -15*n + 18*n = o + g, 3*n - 2*o = 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 20715.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.12 - -0.98. Let j = -0.8 + x. Let a be 2\/2*10\/2. What is the biggest value in j, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5313.51s in minutes?\nAnswer: 88.5585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43\/4 - (-5)\/20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153*x**2*z**6 - 8*x**2*z**4 + 3*x**2*z**2 - 2*x**2 + 390 wrt z.\nAnswer: 18360*x**2*z**3 - 192*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4703.8 to the nearest ten.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 24*u**2 + 52*u + 42. Calculate l(26).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3046240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5373533 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k - 16*k + 62*k - 11*k - 15*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 4*o + 46 = 22, 5*r - 35 = 5*o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2829? (a) -0.08 (b) -7 (c) -10\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1005 = 6*v - 0*v + 1077 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 2:13 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 737 + -767. Suppose -l + 14 - 4 = 0. Calculate the remainder when 1880\/48 - (-5)\/a is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/79 + 407\/474. Let o = -0.4226 - 1.5774. Which is the third biggest value? (a) o (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/20 - (1 + 1 + (-1925)\/(-125)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43197 is divided by 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -143413?\nAnswer: 143410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1415*a + 522*a + 4075 = -730*a. Suppose -3*x = 5*m - 320, -4*x - 5*m + 295 = -130. What is the least common multiple of a and x?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a. Let h(w) = 201*w + 282*w + 2*w + 55. Let p(o) = 14 + 54*o + 12 + 17 - 54 + 17. Let q(g) = -6*h(g) + 55*p(g). Determine q(y(z)).\nAnswer: -60*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -427 - -430. Let j*a**4 - 7*a**2 + 21*a - 135*a**3 + 4*a**2 + 114*a**3 = 0. What is a?\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**5\/20 - 2*n**4\/3 - n**3\/6 - n**2\/2 + 12*n. What is v(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 231*z**2 + 8*z - 4. Let c be g(-5). Suppose -23*p - c = -25948. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11216 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*o - 3*o + 234. Calculate the smallest common multiple of o and 103.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -243.62 to the nearest integer.\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9542.131l?\nAnswer: 9542131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30729801.\nAnswer: 3, 10243267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 118768770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -230520 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 16 = -7*g. Let s be ((-6)\/54)\/((-1)\/(g + -1)). Let h = 121\/280 + -2\/35. Which is the nearest to 1\/4? (a) s (b) -1\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from xxxxxxxccdd.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 10:30 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 4)*(-14*k - 3*k - 36*k) + (k + 4*k - 2*k)*(-3 + 5 - 1).\nAnswer: 268*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 4. Let k = -4.7 + m. Let t = k - 0.4. Which is the closest to t? (a) -4 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 924 - 697. What is the remainder when x is divided by 101?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + (2 + sqrt(11) - sqrt(11))**2 + (sqrt(55)\/sqrt(5))**2*-5.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 4. Let d be s(7). Let f be 16\/6 + 8\/(-12). What is the third derivative of 17 + d*n**f + 4*n**4 - 17 wrt n?\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w. Let k be h(1). Suppose 8 = k*b - 37. Solve u = 3*p - b, -2*u = 2*p + p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c + 16. Let y be v(0). What is the greatest common divisor of y and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n**3 - n + 11. Let i(v) = -14*v**3 - 2*v + 16. What is 5*i(d) - 8*r(d)?\nAnswer: 2*d**3 - 2*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 + 4*l**3 - 4*l**3 + (0 + 0 + 2*l**2)*(-2*l + 2*l - l**2) - 2*l**4 + 3*l**4 + 0*l**4 + 4 - 4 - l**4 - 4*l**4 + 0*l**4 - 4*l**4.\nAnswer: -11*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 2*t**3\/3 - t**2\/2 - t - 4. Let n be a(-1). Let r = -145 + 154. Solve 3*j + r = -2*p, 2*p - 3*j - 7 = n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 9. Calculate the greatest common divisor of 77 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -900970395 divided by -3.\nAnswer: 300323465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-5) + 6*1. Suppose -4*r = -w*r - 10. Suppose -5*m = -40 + r. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + f + 4. Let a be o(0). Calculate the highest common divisor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1053*k**3 - 3*k - 64?\nAnswer: -6318*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -991, -1\/3, -2\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-28267\nAnswer: 8480.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, -22, 0, 3, 1, -1, 2 in descending order.\nAnswer: 3, 2, 1, 0, -1, -22, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 3*b + 4*b)*(-3 + 2 - 1) + 2*b - 3*b + 4*b + (-15 + 52 + 12)*(3*b - 3*b - 2*b).\nAnswer: -107*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1924414*f**2 + 728310?\nAnswer: 3848828*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 408 - 406. Solve -4*s + z = -5*w - 8, 2*s + 3*w = -6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8706 + -2374. What is the thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2119*x**3 - 346*x**3 + 2156*x**3.\nAnswer: -309*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 + 50. Let r = q - -28. Solve 0 = -v - 1, j = r*v + 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1230 divide 14364126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**8\/960 - x**6\/360 + x**4\/4 - x**2. Let o(l) be the second derivative of y(l). Find the second derivative of o(d) wrt d.\nAnswer: 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.182 - -0.181999638. What is n rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5552\/(-240) - -23 - (-47)\/40. Let b(h) be the third derivative of 38*h**2 + 0*h + m*h**4 + 19\/3*h**3 + 0. Find the first derivative of b(w) wrt w.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/2)*r)**(-42)*(r*(r\/(r**6\/r))\/r*r)**38 assuming r is positive.\nAnswer: r**(-219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2091155 divided by 10615\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2213598 is divided by 2031?\nAnswer: 1839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1035.76176 take away 1.05?\nAnswer: -1036.81176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - w = -7, -2*w - 3*w - 55 = 4*l. Let d be ((-1)\/(-2))\/(8\/64). Let x be d\/l - (-1060)\/25. What is the highest common divisor of x and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2100\/(-1540))\/((-5)\/(-3)*4185\/(-775)).\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*b + 10, 19 = 5*b + 2*d + d. Solve b*t = t, -4*t = -2*h - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b - d?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6cc38 (base 14) to base 4\nAnswer: 1000321202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 221.97 - 240.9. Let b = r - -18.2. Let k = -0.63 - b. Round k to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -54504?\nAnswer: -54504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15281 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 2 + -45 + -11 + 7 + 9 + 0?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + y - 4. Let c(n) = n**3 - 5*n**2 + n - 3. Let x be c(5). Suppose -3*f - x*f + 3*l - 9 = 0, 2*f = -4*l - 14. Give d(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93030003 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 12. Let a = 15.01 - h. Let f = -0.08 + 0.08. Sort f, -0.2, a in descending order.\nAnswer: a, f, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -22*d - 2. Suppose 265 = -110*c + 815. Let r(p) = -45*p - 5. What is c*m(g) - 2*r(g)?\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 3) to base 11\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -5\/84*d**8 + 0*d**7 + 0*d + 0*d**3 + 0*d**4 - 29\/60*d**5 + 34*d**2 + 0 + 0*d**6. What is the third derivative of i(r) wrt r?\nAnswer: -1200*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3906.6 to the nearest 10.\nAnswer: 3910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 1:45 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -91 divided by 64\nAnswer: -91\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 42 + 2*l - 23 - 19. Let o(n) be the first derivative of -3*n**3 + 2. Calculate r(o(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1383910 divided by 6017\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**4\/24 + f**3\/6 - f**2. Let l(k) = -2. Let z(m) = -10*m**2 + 43*m + 98. Let y be z(6). Give y*b(u) - l(u).\nAnswer: -4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/16)\/(-1)*10\/30.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21247, 84959, 191133, 339769, 530867?\n\"Answer: 21231*s**2 + 19*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 117 in 25, 8403, 3\/5?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqtqaac. Give prob of sequence qtq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 2*f - 12. Let s(q) = 3*q**2 - 3*q - 17. Let h(w) = -5*s(w) + 7*u(w). Let l be h(0). Suppose 5*r = 17 + 3. Solve l = 3*t + r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1151 and 2140660877.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -21, -107, -269, -531, -917, -1451, -2157?\nAnswer: -3059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 17) + (11 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.71596l in millilitres?\nAnswer: 20715.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158167 and 571?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19486*i**2 - 16693*i wrt i.\nAnswer: 38972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by (6\/2 - -13)*(0 - -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/t**(-5\/2))\/t*t)\/t**(1\/3))**(-4)\/((t**(-1\/4)\/t)**(-2\/13)\/(t**(2\/7))**(-1\/3)) assuming t is positive.\nAnswer: t**(-9257\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -9*g - 75. Give y(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*sqrt(612)*1)**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -4*y - 204. Let l = 63 + y. Suppose 0 = l*k - 117 - 63. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -54478*d + 236679 wrt d?\nAnswer: -54478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 5:03 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**4 + 0*s**4 + 2 + 0)*(0 + 2 + 1).\nAnswer: -6*s**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 9512003?\nAnswer: 5\/9512003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17334 and 214?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from uxnx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 4*q + 39. Let g be c(-15). Calculate the highest common divisor of 33 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200, -199, -196, -191, -184?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (20 + 3 + -13).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - n = -0*i - 65, -2*i - 2*n = -28. Suppose 3*s - 23 = -5*k, 5*k - 2 = s + i. Is s\/(-2)*-4 + 185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7660134 is divided by 2553376.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3987580 rounded to the nearest 10000?\nAnswer: -3990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 10:27 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18089 is divided by 41?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 11*u**2 + 11089*u + 133302. Determine v(-12).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 9:10 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 50 - 69 = -3*r, 3*r - 99 = -3*t. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -556aa - -4?\nAnswer: -556a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 92.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4984358993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 243114 and 0.1.\nAnswer: 24311.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 392270759 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54833 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: Collect the terms in 27*n**3 + 20*n**3 - 49*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/6938, -34\/89 in increasing order.\nAnswer: -3, -34\/89, -1\/6938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 15 = 0, -j + 6*s - s - 20 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/106413?\nAnswer: -1\/106413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1128 divided by 47.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23850171497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 14. Let z = p - 4. Let t = 2 + z. Calculate the lowest common multiple of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j - 3. Let c be b(0). Let f(d) = d + 9. Let x be f(c). Let r(h) = -2*h + 6. Give r(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(6*-2*sqrt(119) + 4*2*sqrt(119)))\/((-1*sqrt(7)*-3 + (sqrt(252) - 2*sqrt(252)) + sqrt(252))*1).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 973319 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 - 31. Suppose -8*y + 7*y - 4*u = -k, y + 2*u = 53. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -9*w + 4. Let f be h(-4). Suppose 4 = -3*c + f. Let r = 0 + 22. Calculate the remainder when r is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 12:49 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22536.766 rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 206464087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -2608836.\nAnswer: 260883.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -3, 4, 1, -2 in decreasing order.\nAnswer: 4, 1, -2, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c**3 + 7*c**2 + 4*c + 2. Let x be t(-3). Let d = -112 + x. Is (4\/(-10))\/((-4)\/d) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15138 is divided by 5045?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17094594 times -4?\nAnswer: 68378376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -46 times -5.25\nAnswer: 241.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6603 - 339764717.8.\nAnswer: -339764718.4603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyt when three letters picked without replacement from yzyzztxtzitityxtxt.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 21 + -39 + 26 + -20 + 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(190)*1*-5)\/(sqrt(90)*2).\nAnswer: -5*sqrt(19)\/6 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3705, -3885, -4187, -4611, -5157, -5825?\nAnswer: -6615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001923102 to 4 dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 204*a - 205*a + 3*d + 6, -8 = a + 4*d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*x = 12*x + 11*x - 1063530. Is x a multiple of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaiaaaaaiaaai. Give prob of picking 1 i and 1 a.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -215*j + 320*j - 328*j - 477*j to the form w + h*j and give h.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(7)*-1 + -1 + sqrt(7)*-1.\nAnswer: -1 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 304331 - 10?\nAnswer: 304321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.7 + 13.7. Which is the third smallest value? (a) -0.08 (b) n (c) -3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) + 209\/3. Let y = 518 - 369. Let w = y + t. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*f**4*x - 2*f**3*x - f**3 - 3*f**2*x - 10*f*x - 4*f wrt f?\nAnswer: -1080*f*x - 12*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (12\/3)\/2. Let a(d) = -d**2 + 4*d - 5. Let f be a(4). Let u = k + f. What is the biggest value in -0.2, u, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 356386985 divided by -355.\nAnswer: -1003907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**8\/2240 + n**5\/3 + n**4\/8 + 68*n**2. Let v(s) be the third derivative of l(s). Let p(u) = -2*u**2. What is v(p(j))?\nAnswer: 36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323132, -323136, -323140?\nAnswer: -323144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -25, 0, 23, 44, 63?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479107577.\nAnswer: 13, 307, 120047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25887724 a multiple of 594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 5:58 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 54?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1148863 is divided by 679.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 80?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n - 1. Give b(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20 or 129857?\nAnswer: 129857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12429027014656 + 12429029269238.0000082. Let t = p + -2254579. Let u = -3 + t. What is u rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swh when three letters picked without replacement from hahwnhnshsswsw.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - z + 86, 3*n - 127 = -4*z + 2*z. Calculate the remainder when n is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 40 = 3*k - 8*k, 4*p = 2*k + 12. Factor -6\/5*m**2 - 2\/5*m - 2\/5*m**k - 6\/5*m**3 + 0.\nAnswer: -2*m*(m + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.18, 0, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**3\/7 + 245622*o**2\/7 - 982524*o\/7 + 982536\/7 = 0.\nAnswer: -81878, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -0*o + 5*o - 5*x, 0 = o + 5*x + 16. Suppose -o*v + 2*v = -44. Let p = -210 - -235. Solve i - 3*z + 5 = v, 3*z = 5*i - p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 148227 - -5?\nAnswer: 148230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.99 - 21. Let z = x - -0.01. Let y = 1.1 + z. What is the closest to -1 in -3, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 48 - 58 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 14*s**2 + 6*s - 44. Let l be r(14). Is 2 a factor of (24\/l)\/(1\/345)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2. Suppose z + 7 = 8, -5*l = z + 29. Let i(r) = 5*r**2 + 36*r - 324. Let c(n) = l*q(n) - i(n). Determine p, given that c(p) = 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-6))\/z*((z\/(z*z**3*z*z))\/z)\/z*z**7\/(z**1\/z*z))**(-28) assuming z is positive.\nAnswer: z**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 961 = -1310*u - 295*u + 412 - 4266 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -459, -886, -1303, -1710, -2107, -2494?\n\"Answer: 5*p**2 - 442*p - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 16*b**2 + 19*b - 39. Let w be d(17). Sort 2, 4, w in decreasing order.\nAnswer: 4, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-30)\/34) + (-2)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 1548 + 1520 = 0. Solve 0 = -25*w + 27*w + d + 5, 0 = 3*w - q*d + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28*q*x - 3*q - 2*x - 298 wrt q?\nAnswer: -28*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 962858 or 962985?\nAnswer: 962985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 701928 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -116*h**4 - 37*h**3 + 10*h**2 + 873. Let g(x) = 58*x**4 + 19*x**3 - 6*x**2 - 436. Let r(j) = -5*g(j) - 3*k(j). Differentiate r(d) wrt d.\nAnswer: 232*d**3 + 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/21)\/1*(-35595)\/116955?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-6 - 0 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 1. Find the third derivative of 12*a**3 + q + 3*a**3 - 7 + 14*a**2 wrt a.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6}. Give prob of sequence sss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 10. Let m = b - -6. Let q = 15 - m. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 293126\/3021 - 4249\/53. Let x = 28\/19 + q. Let b = -18 + x. What is the nearest to 1 in -0.2, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -274\/39, -2 in descending order.\nAnswer: 8, -2, -274\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -161 (c) 2 (d) 1158 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 38*i. Let w be f(1). Suppose j - o = w, 3*j + o = 51 + 55. Suppose 5*k - j = k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 5 + -7 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -188 divided by -94\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 41*z - 2. Let a be v(2). What is the remainder when 24 is divided by a\/4 + -2 + -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 7*d**2 - 10*d + 1. Let w(k) = 5*k**3 - 36*k**2 - 53*k + 2. Let n(r) = -11*a(r) + 2*w(r). Determine n(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23270 and 1846.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 191008.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/6)*c\/((c*((c**(-3\/4)*c)\/c)\/c)\/c)*c*c*c\/((c*c\/c**(-4))\/c)*(c*c**(-2))\/c assuming c is positive.\nAnswer: c**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**15\/c)**(7\/5)\/(c\/c**(-3)*c)**(4\/9) assuming c is positive.\nAnswer: c**(782\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*(-4 + (sqrt(19) - sqrt(76)) - (sqrt(19) + (sqrt(19) - -6*(sqrt(19) - sqrt(38)\/sqrt(2))))))**2.\nAnswer: 3456*sqrt(19) + 26928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -194?\nAnswer: 11.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 169180807 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7083451 times -1.6\nAnswer: 11333521.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + sqrt(1053)*-1)*6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -591 divided by 481.\nAnswer: -591\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 179, -18, -513, -1444, -2949, -5166, -8233?\n\"Answer: -23*s**3 - 11*s**2 - 3*s + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**3 - 4*r**2 + 3. Let u(g) = -2*g**2 + g**3 - 158 + 314 + g**2 - 155. What is -3*u(v) + w(v)?\nAnswer: 2*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5596 + 16790\/3. What is the closest to -21 in -3\/5, 0.5, -1\/2, p?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3341 and 871?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.809741ns in days?\nAnswer: 0.0000000000014445571875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 80\/111 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (99\/891)\/(3\/81). Solve -g*y + 9 = k, -k = -4*k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q = -20*q + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*k**2 - 4*k - 2*k**2 + 4*k - 2*k**2 - k**2 + 2*k**2 + k**2 - 2*k**2 - 2*k**2 + (k + 3 - 3)*(-4*k - k + 4*k).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.359 + -6.359. Is 176.7 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, a: 1, o: 1}. Give prob of sequence aco.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -545 + 1610\/3. Which is smaller: -7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 28 = 4*k + 4, -q + 3*k - 16 = 0. Let r be (-20)\/30 - 16\/126. Let g = r - -4\/7. Which is the closest to q? (a) 1\/2 (b) -1\/6 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {w: 4, z: 3, g: 9, s: 2}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -75138 and 4.\nAnswer: -300552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - 64. Suppose 5*m - 354 - 316 = z. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -456152 * 8.\nAnswer: -3649216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncnc when four letters picked without replacement from {n: 8, c: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 1 + 6)*(-455*t - 365*t + 251*t).\nAnswer: -9673*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**6\/2 - 9*q**4\/2 + 8*q**3 - 9*q**2\/2 + 13. Find v, given that k(v) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -2 - (-2)\/(-3))*-12. Suppose -4*o + 17 = -2*o - 5*f, -5 = o + 2*f. Sort -3, h, o in decreasing order.\nAnswer: o, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 446 - 298. Suppose -10*k = -3*k - 21. Suppose k*f = -3, -4*x + r = -3*x + f. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -878, -1225, -1574, -1925, -2278, -2633, -2990?\n\"Answer: -s**2 - 344*s - 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkkd when four letters picked without replacement from {v: 4, d: 4, k: 3, g: 5}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 148127205?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llacccciicc. Give prob of picking 1 a, 1 l, and 1 i.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from {i: 2, a: 1, v: 3, u: 3, z: 8, b: 1}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -12*(1 - (-3)\/(-2)). Suppose i - 2 = -2*d, 3*i + d - k = 2*d. Let q = 6 - i. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -36*s**3 - 8*s + 5. Let y(j) = 12*j**3 + 3*j - 2. What is 3*k(p) + 8*y(p)?\nAnswer: -12*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxfxxxxffxxxfxfxxx. What is prob of sequence xfx?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, -9, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 457*f + 262*f + 255*f to the form n*f + d and give n.\nAnswer: 974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2 - p - 4. Let t(f) be the third derivative of -f**4\/24 - 2*f**2. Let u(s) = -j(s) + t(s). Differentiate u(x) with respect to x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21\/17999 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9, 1.1, 0.1, 21, 5\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -220.3 - -220. What is the fourth smallest value in -0.2, -1\/3, 7\/5, k?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -16*r**3 + 2*r**2 - 4. Let x be w(-2). Round x to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 273\/858*(-60)\/35\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 (base 14) in base 5?\nAnswer: 11131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 751 + 644 = -4*w, 3*o + 59 = 2*w for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-54)*(1137\/225 + -5). Is 1.8 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -22. What is the closest to -0.1 in -5, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4365 and 33.\nAnswer: 48015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/169 - (-828)\/(-26). Let k = 9 - i. What is the remainder when k is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22, -33, -44, -55, -66?\n\"Answer: -11*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 8 + 33. Let o = -31991\/1398 - 66\/233. Calculate the common denominator of o and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2599*z**5 - 192*z**2 - 142*z - 6. Let o(r) = r**5 + 32*r**2 + r + 1. Let k(b) = -j(b) - 6*o(b). Find the second derivative of k(m) wrt m.\nAnswer: -52100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1388154 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 17. Suppose -5*x + 24 = q, -p*q = x - 2*x - 15. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16087?\nAnswer: 16087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -9, -3 in decreasing order.\nAnswer: 0.2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 3\/5 (c) -3\/19 (d) 0.1 (e) -1 (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 99.49038 decades?\nAnswer: 994.9038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from {y: 7, b: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6476549267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299)*-1 - sqrt(2299))*5 + -5 + (sqrt(2299)*-2 - sqrt(2299)))*-3 + -4.\nAnswer: 11 + 429*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 79 - 32*k**2 - 79 + (-4*k + 5*k - 3*k)*(-k - 3*k + 5*k).\nAnswer: -34*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -27102, -54189, -81276, -108363, -135450, -162537?\n\"Answer: -27087*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2737748665.\nAnswer: 5, 19, 28818407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4634 + -2457. Let x = -977 + o. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38298671, 38298683, 38298695, 38298707, 38298719?\nAnswer: 38298731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3033 + -3026. Put 8, d, -11, -4 in decreasing order.\nAnswer: 8, d, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 9:48 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*(5*(2 + sqrt(1573)) + (-1*sqrt(1573) + -4 - sqrt(1573))) + -4)**2.\nAnswer: 7392*sqrt(13) + 227296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 1252a1?\nAnswer: 1252a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (35\/14)\/((-261)\/232)\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -7 (b) 1\/3 (c) -8 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 171\/38 - 10\/2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5182 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -2\/7 (b) 2\/41 (c) 2\/17 (d) 255 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12738 and 2651616?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4, z + 2*z - x = 22. What is the greatest common factor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20876, 43048, 65222, 87392, 109552?\nAnswer: 131696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 17*m**2 + 1 - 9*m - 7 - 18*m**2 + 3. Let i be f(-8). Solve 3 = i*v - 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41595152*p**3*q**4 - 444*p**3 + p**2 - p - 32 wrt q?\nAnswer: -166380608*p**3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4616*x**2 - 2292*x**2 - 2305*x**2. Let g(f) be the second derivative of -2*f**3\/3 + 2*f. Determine g(r(l)).\nAnswer: -76*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3299543, -13198177, -29695893, -52792685, -82488547, -118783473, -161677457?\nAnswer: -211170493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 6*y - 22. Let o be s(3). Suppose -z = -10*t + 5*t + 167, -169 = -o*t + 2*z. What is the least common multiple of t and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 78026.98mg?\nAnswer: 78.02698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-7)\/(-42) - 10\/42). Let w = k - -12. What is the tens digit of (w - -3 - 0)*(112 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) 0.4 (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/3))**21)**(-16\/3)*q**0*(q**5\/q)\/q*(q**0*q)**(-6\/35) assuming q is positive.\nAnswer: q**(-3623\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13643 is divided by 4541.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 309*a**5*t**2 + 19*a**3*t**3 - 3*a*t**2 + 40*a + 3*t**3 + 4*t**2 wrt a.\nAnswer: 6180*a**3*t**2 + 114*a*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-554)\/(-144) - (44\/9)\/22).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 + -1020220?\nAnswer: -1020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*s + 14, -4*c + 0*s + 79 = -3*s. What is the remainder when c is divided by (-18)\/(-45) - (-33)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 988 is divided by 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 618*h - 138*h + 353*h + 8 + 798*h.\nAnswer: 1631*h + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -54958.1345321 - -338\nAnswer: -54620.1345321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 106*v**4 + 14*v**3 - 127*v. Let r(y) = -107*y**4 - 12*y**3 + 128*y. Let s(n) = 6*c(n) + 7*r(n). What is the second derivative of s(d) wrt d?\nAnswer: -1356*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1105\/(-4))\/(4*2\/(-32))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, 1, -6 in decreasing order.\nAnswer: 13, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -334 + 336. Let w be -2 + 0 + 48\/8. Solve -1 + 5 = -j*c - 2*d, -w*c - 8 = d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*(-5)\/((-105)\/(-12)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.03, 5\/2, 5, 80?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82750 is divided by 111.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -7006\nAnswer: 14012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 greater than 17191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 986 and 1020.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 13 = 2*o. Suppose -3*d + 25 = 2*d. Solve 0 = -d*i - o*s - 5, 5*s + 21 = 5*i - 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/229 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/4)\/(z\/(z\/(((z*z**(15\/4)*z)\/z)\/z))) assuming z is positive.\nAnswer: z**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 10274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhof when four letters picked without replacement from {o: 4, f: 2, v: 2, h: 1, n: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 332 - 332.5. What is the third smallest value in 0, -0.06, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 8906949\nAnswer: -7\/8906949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 b when three letters picked without replacement from {b: 11, i: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 7. Let i be j(-4). Calculate the remainder when 10 is divided by i*-1 - 7\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 783?\nAnswer: 5481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18471 divided by 4.\nAnswer: 18471\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(736\/576)*((-5)\/3)\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 30059, -0.057?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/6)\/(60\/(-21) + 3). Let f(a) be the second derivative of a**5\/20 - a**4\/3 - a**3 + a**2\/2 - 4*a. List the prime factors of f(q).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 12*o - 98. Is 23 a factor of w(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvbbbryypyw. What is prob of sequence vyyp?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4015?\nAnswer: 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0*z**3 + 5*z + 9*z**2 - 2 + z**3 - 3*z - 4*z. Is t(-8) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/(-5) + (-14820)\/(-100)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.09 + -0.09. Suppose 0 = y + 4*y - 2*y. Which is the second smallest value? (a) f (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 11:10 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 0.0413 (b) 5\/6 (c) 0.112 (d) -4 (e) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1666)*-4 + sqrt(1666))\/sqrt(2).\nAnswer: -21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 - 66. Let q(s) = s**3 - 5*s**2 + 4*s + 5. Let d be q(4). Find the third derivative of p + 0*v**2 - 6*v**d + 2*v**2 - 26 wrt v.\nAnswer: -360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(1 + 16\/(-14)). Let p = u + 76. Suppose -3*d + 43 = 4. What is the greatest common divisor of d and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-14))\/(48\/(-168))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 4. Let a be z(5). Let u = a + 15. Let b(q) = -6 + u + 3*q. Let c(o) = -3*o. Give b(c(r)).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -220*g**3*u**3*w + 5*g**3*u*w + 1430*g*u**2*w + 3*g*u*w**2 + 7*u**3*w**2 wrt u?\nAnswer: -1320*g**3*w + 42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2345546501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - -9*16850\/(-6075)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -45. Let s(o) = -3*o**3 + o**2. Let n be s(i). Solve 0 = 4*u + l - 10, 4*l = -n*u + 2*l + 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/13 + -22\/39. Put 4, p, 0.2 in descending order.\nAnswer: 4, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27\/25277464 or -1?\nAnswer: -27\/25277464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 5*g**2 + 6*g - 2. Let p be k(6). Let b be p\/(-32)*2*2. Sort b, -0.4, 3\/4 in increasing order.\nAnswer: -0.4, b, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o. Let d be w(-2). Suppose -b + 3 = d. Solve -3*u + 2*u - b = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1121430 - -1?\nAnswer: -1121424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 173844 divided by -9\nAnswer: -19316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 157083672 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 153*u**2 - 43*u + 99. What is the hundreds digit of p(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7638 and 2487733521.\nAnswer: 2487733520.2362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4669, 16721, 36817, 64963, 101165?\n\"Answer: i**3 + 4016*i**2 - 3*i + 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + q - 212 + 215 = 0, 0 = s - 3*q - 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = -22*z - 7 + 103. Let 2*m**z + 32*m + 1\/8*m**4 + 12*m**2 + 32 = 0. What is m?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 2 (b) 4 (c) -2\/7 (d) 750 (e) -17 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llgvn. What is prob of picking 1 n and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(40\/(-3)) + (-6)\/(-10). Let s(o) be the first derivative of -1\/18*o**3 - 1\/12*o**2 - 1 + k*o. Suppose s(j) = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 14*t - 3. Let s be n(7). Let r be (65\/(-10))\/(s\/6). Calculate the highest common factor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/12 + (-58)\/(-174)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 2*x**6\/3 - 2*x**3 - 7. What is the third derivative of n(o) wrt o?\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7371479171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 844 and 247081.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a - a**4 + 1\/2*a**3 + 2*a**2 - 5. Find the second derivative of o(s) wrt s.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -53*y**3 + 3*y**2 + 242*y + 239. Give d(-1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295532 is divided by 17383?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -40*g. Let a(y) be the third derivative of -y**7\/2520 - 7*y**5\/60 + 5*y**4\/24 - 138*y**2. Let q(n) be the third derivative of a(n). Give q(d(t)).\nAnswer: 80*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*i + 228, i - 45 - 32 = 3*t. Let w = i + -27. Calculate the remainder when w is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a meter in centimeters?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -704 - -700. Let c(x) = 42*x**2 + 11*x. Let y(d) = -14*d**2 - 4*d. Give u*c(k) - 11*y(k).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) - 819\/(-189). Let s(i) be the third derivative of 0 + 0*i + 8\/9*i**3 - 7\/180*i**j - 8*i**2 - 1\/9*i**4 - 1\/360*i**6. Factor s(w).\nAnswer: -(w - 1)*(w + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/(-10)*21\/(693\/(-44))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 1485376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 885908941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.837 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -214 or -215?\nAnswer: -215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87911017.\nAnswer: 179, 661, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 30\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 - 88*t**2 - 802*t + 45. Calculate l(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.23 and 199.3.\nAnswer: -1241.639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18510042 is divided by 4539?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**3 + 4*t**2 - 2*t - 3. Let j be a(3). Suppose l + 3*w = 3, -10 = -2*l + w + 31. What is the greatest common divisor of l and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620089?\nAnswer: 347, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2152622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 415. Determine t(41).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ce1 (base 16) to base 3.\nAnswer: -11112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 15 = a, -4*a + a + 11 = 2*q. Let r be q\/((-100)\/(-36) - 3). Let d = r - -17. Solve -1 + d = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13.1 or -14\/5?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l - 4. Calculate the remainder when r(3) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 7407b8?\nAnswer: 7407bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Let r be 1 - c - 372122\/44. Let t = r - -8452. Find the common denominator of -11\/2 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 122\/6*(-15)\/(-5). Suppose 0 = -3*v + 50 + s. What are the prime factors of v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98371 (base 12) to base 16.\nAnswer: 31105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n - 5*n - 26 = -5*n + 163 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 7*j**5\/20 - j**4\/6 + j**3\/6 - 5*j - 1. Let h(b) be the first derivative of t(b). Let s = 1 - 0. What is h(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -874*p + 974*p - 826 - 1074 = 0 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.35 in 0.4, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 181 - -347. What is the highest common divisor of 165 and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t + 17*t - 28 - 9*t to the form k*t + d and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12\/5 (b) 2 (c) -5\/3 (d) -51\/4 (e) 29.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a + 1. Let d(q) = -q - 10. Let o be d(-8). Let z be k(o). Let s be (-32)\/(-6) + (-2)\/6. Put s, z, 2 in descending order.\nAnswer: s, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 7*l**5\/60 - 7*l**2. Let u(r) = r**2. Calculate u(s(b)).\nAnswer: 49*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 69, 157, 279?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydp when three letters picked without replacement from {k: 1, r: 2, n: 1, y: 1, d: 1, p: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 93251\/31, -3, -6 in descending order.\nAnswer: 93251\/31, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10294, 20593, 30892, 41191, 51490, 61789?\n\"Answer: 10299*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87150?\nAnswer: 2, 3, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 7*m**2 - 12*m - 8. Calculate b(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1804 divided by -2\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94.7 + -10.7. Let d = -63 + y. Is d equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -1, -12, 0.2 in ascending order.\nAnswer: -12, -1, 0, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + l + 2. Let j = 27 + -7. What is the remainder when j is divided by i(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78 - 2*u**3 + 28 + 42*u**3 - 26 wrt u.\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z + 129 - 1689 = 0. Suppose 0 = o + 4*a - 30 - 30, 0 = o + 2*a - 56. Are o and z non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**5*h + 3*d**5 + 192513*d**3 + 254*d**2*h + 65*d*h + 59*h - 1 wrt d?\nAnswer: 60*d**2*h + 180*d**2 + 1155078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1) + -1 + (-2 + 5 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*z - 172*z = -17530. What are the prime factors of z?\nAnswer: 2, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Let u(m) = m + 5. Let x be u(-3). Suppose x*q + 2 - 16 = t. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j. Let p be s(-1). Let h be (-16)\/(-6)*(-60)\/(-8). Solve p*q - h = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/34658 and 65\/7395484.\nAnswer: 96141292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -593*y - 5162. What are the prime factors of k(-23)?\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*r**4 + 2 - 3 + 3*r**3 + r + 26*r**4 in the form c*r**4 + j*r**3 + d*r + y*r**2 + p and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + 5. Let c(s) = 3*s**2 - 12*s + 9. Let y be c(4). What is the derivative of n + o - y - 8*o**2 - o wrt o?\nAnswer: -16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtpttprrprpnrptpr. Give prob of picking 3 t.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)\/(sqrt(90) + (sqrt(90) - -1*sqrt(90))))**2 + (sqrt(684) - (2 + sqrt(684)*-1)))*-5.\nAnswer: -60*sqrt(19) + 715\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8497458869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.665? (a) -5902 (b) -0.5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 454 and -5.\nAnswer: -2270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 76203206449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16398 divided by 2.\nAnswer: 8199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1904, 1905, 1906?\nAnswer: 1907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*k - 4*k = 211, k = 3*i - 226. Let u(y) = 3*y + 13. Let j be u(-13). Let f = 37 + j. What is the highest common divisor of i and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(-36)*m**(2\/15)*m*m*m\/m**(-6) assuming m is positive.\nAnswer: m**(137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -179760939, -179760938, -179760937, -179760936, -179760935, -179760934?\n\"Answer: w - 179760940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - n = -4, 218*p = 217*p - n - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -60977298.4 rounded to the nearest one thousand?\nAnswer: -60977000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6618848 to the nearest integer?\nAnswer: 2573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15936)\/102256)\/(((-1)\/12)\/(14*1\/(-16))).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1130 - 15830 - 7174 - 10933)*(-4*s + 6*s + 0*s) to t*s + q and give t.\nAnswer: -65614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2342, -4676, -6782, -8546, -9854, -10592, -10646?\nAnswer: -9902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 4*x - x. What is the remainder when x is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 29*d + 488. Give i(19).\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + 2*2*((sqrt(208) - ((sqrt(208) + 1*sqrt(208) + sqrt(208) + 4)**2 + sqrt(208))) + ((sqrt(208) + -1)*6)**2).\nAnswer: -1536*sqrt(13) + 22540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -6. Let t = -7558 - -7557.974. Which is the third biggest value? (a) -2\/7 (b) k (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52316593?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/10)*g*g)**(-5\/2) assuming g is positive.\nAnswer: g**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48472820 and 1264?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7863 + 23579 - 2*d**2 - 7856 - 7860.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(6)*1*-2)\/((sqrt(72)\/sqrt(3))\/sqrt(8)) + -1*sqrt(162)*-6*4))**2.\nAnswer: 2289800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**5\/4 - 10*c**4 - 25*c**3\/2 + 10*c**2 + 45*c\/4 = 0. What is c?\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 4, 6, -0.4, 12\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -3. Let o = 0 - 0.2. Let n be 2 + -1 - (-10)\/(-16). Which is the nearest to o? (a) n (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + -1. Let o be (-245)\/(-28) + 6\/r. Let p(x) = 8*x. Let v be p(3). Calculate the highest common divisor of v and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - w + w)*(-w + 2 - 2)*(-w + 2*w + 0*w).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16728 or -456?\nAnswer: 16728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)*(h\/(h*h*h**(-3)*h*h))\/h)\/((((h\/h**5)\/h)\/h)\/((h\/h**7)\/h)) assuming h is positive.\nAnswer: h**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + 11. Let n = 87.05 - x. Let m = -0.05 + n. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/424 and 16.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10251*k**6 - 8*k**5 - k**4 + 12*k**2 + 5592*k?\nAnswer: 1230120*k**3 - 480*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**4\/3 + 2*j**3\/3 - 3*j**2 + 278. Let q(g) = -12*g**2. Give i(q(v)).\nAnswer: -96*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -29*c**2 - 2*c + 6. Let j be t(4). Let n = j + 198. Let x = -104 - n. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.24 (b) 0.1 (c) 4107 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 3 + 1\/15*n**3 + 0*n**2 - 3\/20*n**4 + 0*n. What is o in z(o) = 0?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -75*s - 7117. What is i(-90)?\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9*s**2 - 1. Suppose -2*d = 2*q - 1 - 3, -d + 8 = -5*q. Let m(c) = 93*c - 57*c + c**2 - 36*c. Determine q*r(k) + 5*m(k).\nAnswer: -4*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35 - 1051?\nAnswer: -1086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107728747 is divided by 34740.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4224204 + 3?\nAnswer: 4224211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 + 6)*(9*q - 96*q - 30*q).\nAnswer: -1521*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 10:10 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1092 and 336?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 12682*q - 63471. What is s(5)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 515768 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -557344, -2229418, -5016208, -8917714?\n\"Answer: -557358*x**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1222 + 10128 = 4*b, b - 6803 = -3*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 6*u - 2. Let h be q(6). Let x(m) be the first derivative of 11*m**3 + m**2\/2 - 3*m + 2. Is x(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 235747266?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = -15*v + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -6. Suppose r = -l + 7. Suppose -39 = -l*h - 0*h. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) - sqrt(342)*-3)\/(sqrt(2) - (sqrt(10)*-2)\/sqrt(5)))**2.\nAnswer: 1900\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a**3 - 1. Let f = -28 + 29. Let r be q(f). Does 2 divide 1*(-2)\/r*-39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c. Let x be (-6)\/10 + 924\/(-110). Is u(x) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -362780 - -966790. Round g to the nearest ten thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - 16. Let r = p + 81. Calculate the greatest common factor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaazaydaaaaxayatdaat. Give prob of sequence ydy.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3664*l - 9549 + 243571 + 73754 for l.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53428\/3 or 0?\nAnswer: -53428\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169140448552*i + 169140448552*i + 2*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6a633 - a?\nAnswer: -6a642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 154*(-77)\/((-38115)\/135).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-22)\/((i**(2\/5)*i)\/i))**(-44))**(-35) assuming i is positive.\nAnswer: i**(-34496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 550\/(-33)*510\/(-2125). Factor 28\/3*y**2 + 16\/3*y + 14\/3*y**3 + 2\/3*y**s + 0.\nAnswer: 2*y*(y + 1)*(y + 2)*(y + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 321*d**2 - 72*d + 221. Is j(30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 3*b**2 + b + 3. Let v be i(-3). Suppose -3*n - 6 = -0*n. Let u be (-1 - 3)*n\/(-36). Do v and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23, 29, 35?\n\"Answer: 6*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/(-3)*(-12 + 0). Solve -2*o - 46 = -k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*p**2 + 582*b**3*p + 784*b**3 + 85*b**2 - 8*b*p**2 + 20*b*p + b + 3*p wrt b?\nAnswer: -12*p**2 + 3492*p + 4704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4280828.\nAnswer: 2, 1070207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 36 - 14 + 0*a + 0 - 14 + 8.\nAnswer: 2*a + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 12:49 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*q**3 - 415*q**2 - 640*q - 215 = 0. What is q?\nAnswer: -1, -1\/2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g*i*o**2 + 2*g*i - 96*g*o + 4*g - 5*i*o - 13*i + 1979180*o**2 wrt o.\nAnswer: -10*g*i + 3958360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 178*r**2 + 191*r + 2470. Determine f(-177).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -311\/314032 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1801 - 226*z + 1792 - 3591.\nAnswer: -226*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186 - 192 = -21*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/3351 and 48\/5585.\nAnswer: 16755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.5679637 kilometers?\nAnswer: 567.9637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 19. Let p(q) = q - 1. Let c(v) = -p(v) + y(v). Let o be c(0). Solve -4*h - 4*g = 12, -5*g - 53 = -4*h - o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 762 (base 11) in base 16?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mem when three letters picked without replacement from {m: 9, e: 10}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7446 and 59150148?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) -4 (c) 10.6 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6 + 11 + -2 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3621022 weeks to nanoseconds.\nAnswer: 218999410560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 8*x - 1. Calculate t(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -52, 4\/7, -0.63?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-4)*(-24)\/20. Suppose -33 = -r*b + 15. Calculate the greatest common divisor of 208 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(325) + sqrt(325) + -1*sqrt(325) - 1*-3*sqrt(325).\nAnswer: -3 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 85, 79, 73, 67, 61, 55?\n\"Answer: -6*o + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252)*1 - sqrt(252)) + sqrt(252))\/sqrt(6))\/(sqrt(18)\/sqrt(3)*3).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-16) - -2)\/(63\/42)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29599.4478 rounded to the nearest integer?\nAnswer: 29599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -127, -255, -387, -523, -663, -807, -955?\n\"Answer: -2*u**2 - 122*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*((-12)\/10 - (-10)\/50). Suppose r = -t - 45, 52 = -d*t - r - 38. Let x be (-460)\/t + 2\/(-9) - -2. Solve -x = -w - 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 2*c = -5*w - 1, -3*c + 6 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*c = -7*c. Let i(d) be the second derivative of 2*d + 1\/8*d**2 + c + 1\/6*d**3 + 1\/12*d**4. Factor i(t).\nAnswer: (2*t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 23 - 182\/(-26)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 - 48 = -5*l, -88 = 4*g + 3*l. Let z = g - -38. What is the remainder when z is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-92)\/(-6) - 8\/24 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4199 - -4198.97699885. Let i = t - -0.023. Round i to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 0 = -3*m. Suppose m*o = 7*o. Let i = 226 + -5196\/23. Which is smaller: o or i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 165 = 2*y + 5*b, -5*b - 25 = 0. Let c = 46929 + -46796. Calculate the highest common factor of c and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/11 + 20\/10. Let n = 2.4 - 2.3. What is the nearest to n in f, -2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 12*b**5\/5 + 136*b**4\/5 + 584*b**3\/5 + 1152*b**2\/5 + 972*b\/5 + 216\/5 = 0.\nAnswer: -3, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -985*(-4)\/(-8784) - 16\/(-36). Is 0 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 + 7*u - 2. Determine o(-7).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1203282 (base 13) to base 15\nAnswer: 752420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -0.5, -0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 3*f**2 + 10*f - 3. Let w be v(5). Which is the fourth smallest value? (a) w (b) -2\/21 (c) 42 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 5*d**2 + d - 3. What is h(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2125*v + 4302*v = 2146*v + 1054 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122280*v - 5 = 122279*v + 4*f, -41*v = -4*f - 45 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 3:00 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(31 + -45 + 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence moq when three letters picked without replacement from {g: 1, v: 1, o: 2, m: 2, j: 1, q: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -19686 greater than -19686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3746473*c - 869475*c - 3 + 3.\nAnswer: 2876998*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -59*o - 1947. Let d be u(-35). Calculate the highest common divisor of 2419 and d.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 787963 and 787962 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(119) - -2*sqrt(119))*-6)\/(-3*sqrt(1008)*5).\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*p = -36845 - 17987. Calculate the remainder when 605 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 937*x**3 - 541*x**3 - 518*x**3.\nAnswer: -122*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -887*b**3 + 517*b + 5. Let y(q) = -q**3 - 1. Let f(r) = -2*x(r) - 10*y(r). What is the second derivative of f(z) wrt z?\nAnswer: 10704*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffbb when four letters picked without replacement from {t: 3, p: 2, f: 2, b: 5}?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-4)*(0 + 2). Let o = 21 + -21.4. Sort o, y, 0.3 in decreasing order.\nAnswer: y, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220032312 + 0?\nAnswer: 220032312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c = -5. Suppose 15 = -c*x + 735. Calculate the greatest common factor of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 463858 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001293617144 to 7 dps.\nAnswer: 0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.06 from 31.\nAnswer: 28.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -7, -0.5, 5\/2, 0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (936\/(-8))\/(-13)*-1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9\/(y**0*y))\/(y\/(y*y**0))**(-8\/3) assuming y is positive.\nAnswer: y**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1259722195?\nAnswer: -1259722200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 627242.181 + -627244.98099773. Let o = 4.2295 - 1.4295. Let z = o + r. Round z to 7 dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 10 (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342782 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 9891 = 5*i - 0*i, d - 4*i = 2457. Suppose -l - 10086 + d = 3*r, -4*r + 4*l - 10172 = 0. Is (1\/1)\/((-4)\/r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + r**2 + r**4)*(7 + 35 - 12) + (11*r**2 + 3*r**2 + 2*r**2)*(1 + r**2 - 1).\nAnswer: 46*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2242055232 + 2242055344.9999953. Let m = -9627 + 9740. Let x = b - m. What is x rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5654 < 5652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 52.3679 millilitres?\nAnswer: 0.0523679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 13*p + 15*p to n*p + x and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1032 - 1274 + 77 - 323 - 259)*(-s**2 - s**2 + 4*s**2).\nAnswer: -5622*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 19*q**2 + 264*q - 1705. What is r(6)?\nAnswer: 563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -8 - 19) + (-2 - (-8 + 3) - 7)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-28))\/(456\/(-1197)*(-3)\/(-4))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 9480.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 3*k - 5*v = -665, 826 = 5*k + v. Calculate the greatest common divisor of k and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4 = 0, 8*j = -2*l + 5*j + 5. Suppose -2*c - 4*r + 16 = 2*c, c - l*r + 16 = 0. Solve c*u + u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2959647*k**4*m + 3*k**3*m + 3*k**2*m + k**2 + 957443*k*m wrt k?\nAnswer: -71031528*k*m + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13492, -26955, -40418, -53881, -67344, -80807?\nAnswer: -94270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbbbbbbnbbbnnb. What is prob of sequence bbnb?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5715494 rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i**3 - 76*i**2 - 1668*i - 22018. Determine n(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**4\/6 - 86*k**3 + 40*k - 7. Let r(t) = 0. What is t?\nAnswer: 0, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-4 - 0)\/12) - 20. Let n = p - -44. Let i = n + -23. Solve -i*u - 21 + 1 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*b - 4 + 1, 0 = -4*b - 20. Suppose 0 = 11*s - r*s - 436. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2452, -805, 842, 2489, 4136?\n\"Answer: 1647*z - 4099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 13 = -13. Let q(i) be the second derivative of 1\/2*i**2 + o + 2\/3*i**3 + 7*i. What is the first derivative of q(u) wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -69, -11\/101, -29\/4?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 6 = 2*b + 4, -5*y + 5*b - 5 = 0. Let o be (8\/2 - 0) + 5. Suppose -3*g + o = -y. Solve g*t - 2 = t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/56)\/((-1)\/(-18))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -21 + 210\/9. Let y*j + 1\/3*j**2 + 0 = 0. What is j?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 238105?\nAnswer: 119052.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.6 (b) 1 (c) 3\/5 (d) 5 (e) 0.0496 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72735 and 195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g + 6*g = 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**3\/6 + k**2\/2 - 18*k. Let u(z) = -z**2 - 4*z + 12. Let a(i) = -u(i) - 6*y(i). What is the units digit of a(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 139\/4. Is -3 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - 5*w + 2 + w)*(5 - 1568*w + 85 - 96) to the form r*w**2 + b*w + a and give b.\nAnswer: -3124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/600 and 47\/90.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/7)\/(-1)*-7. Find the third derivative of -11*n**j + 11*n**2 + 3*n**3 - 3*n**3 - 5*n**2 wrt n.\nAnswer: -264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**42))\/y*y**(-19)*(y**15\/y)\/y*y*(y\/(y*((y*y\/(y**(3\/17)\/y))\/y)\/y))\/y assuming y is positive.\nAnswer: y**(-847\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -95 + 94.989. Which is the closest to -1? (a) 5 (b) -5 (c) -2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 10*d**3 + d**2 + 12*d + 28. What is k(-2)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 81270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/5 and -69\/13400.\nAnswer: 13400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 522157257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, c: 2}. What is prob of picking 2 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74554 - -265635900\/3563. Let d = y + 7148\/39193. Is d > 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17 + 3 + 8\/(-4). Let k(c) = -15*c**3 + 18*c**2. Let t(v) = -v**3 + v**2. What is s*t(w) - k(w)?\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-14)\/z)*z**(-8\/3))**(-46) assuming z is positive.\nAnswer: z**(-1840\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5818475.\nAnswer: 5, 13, 17903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 569, -9, 11 in decreasing order.\nAnswer: 569, 11, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 754*c**3*h - 5*c**3 + 2*c*h*p - 1256*c*p + h*p wrt h.\nAnswer: 754*c**3 + 2*c*p + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from lppjlelggxjp.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 6:24 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 6*i**2 - i + 6. Let t be k(6). Suppose 5*y - 8 - 22 = t. Suppose -60 + 12 = -y*o. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 7*d**2 + 5*d + 7. Let k be c(6). Suppose 4*o - k = -9. Let p = -3065\/1666 + 16\/2499. Which is smaller: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten thirds of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(153)*-3 + sqrt(153) + sqrt(153)*-2*2)\/(sqrt(576)*1*5)*2)**2.\nAnswer: 153\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180 - 21 + 196 + 5*q.\nAnswer: 5*q - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccccc. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*o - 11012 = 10129. What is the highest common factor of 567 and o?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*86\/4)\/(((-3484)\/(-1072))\/((-65)\/10))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -8. Suppose b = 3*l - 92 - 178. What is the greatest common factor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = d - 72, -5*k - 4372*d + 120 = -4370*d for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4960 by -5.\nAnswer: -992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2617.9179 - 2602.91. Let z = -15 + i. What is z rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1813, -36665, -137555, -337501, -669521, -1166633?\nAnswer: -1861855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**3 + 130356*k**2 - 43717764*k + 43587404 = 0. What is k?\nAnswer: -32921, 1, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**9\/h*h**(-4)*h**12*h**17 assuming h is positive.\nAnswer: h**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 2\/5, 13 in decreasing order.\nAnswer: 13, 2\/5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -2*n + 0 + n**2 + 1\/24*n**4 - 1\/3*n**3. Factor p(x).\nAnswer: (x - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19, -200, -699, -1678, -3299, -5724, -9115, -13634?\n\"Answer: -27*r**3 + 3*r**2 - r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15315 - -27398. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51\/1498 - -400\/749. Factor -1\/4 + 1\/4*t + l*t**2.\nAnswer: (t + 1)*(2*t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/19, 0.05, -3 in descending order.\nAnswer: 0.05, -3\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96 + 244. What are the prime factors of t?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22572930 by -4514586.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from gspgsgs.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) 3 (c) 3\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113361, 226824, 340287, 453750, 567213?\nAnswer: 680676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -44, -83, -120, -155, -188, -219?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, l: 5}. Give prob of picking 3 l and 1 b.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 1\/3, -1\/5, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 192\/(-21) + 1\/7. Let n be 10\/4 + s\/(-18). Solve 2*a - r + n*r = 2, -2*r = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q**2 - 164*q + 523. Determine k(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = o - 0*o - 21, 0 = -5*z + 10. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 847 + -847. Let w(r) be the second derivative of -4*r - 1\/3*r**3 + c + 3*r**2. Give w(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, g: 3, k: 3, m: 4, x: 1, a: 4}. Give prob of picking 2 b, 1 k, and 1 m.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2*g - 4*g)*(-1 - 2 + 1)*(-5 + 9 + 6).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(153) - (sqrt(187)*-4)\/sqrt(11)))**2 + -4.\nAnswer: -350*sqrt(17) + 20846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 11:36 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 4, l: 15}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*(sqrt(25) - (sqrt(25) - 6*(sqrt(125)\/sqrt(5) + sqrt(25))))\/(sqrt(500)*-3))**2.\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 374*p - 270. Does 26 divide l(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 98?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135.2 + 150.42. Let j = 22 - 37. Let d = g + j. What is d rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/7, 11, 1\/6, 3, -71, 28 in decreasing order.\nAnswer: 28, 11, 3, 1\/6, -2\/7, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4762, -10418, -16074, -21730, -27386?\n\"Answer: -5656*k + 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7302553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*q + 14106, 0 = 3*q + 2*q + 2*a - 14118. Let l = -8537\/3 + q. What is the common denominator of l and -23\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**3\/3 - 43*l. Let w(i) = -50*i**2. Determine k(w(r)).\nAnswer: -100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 11*z**2 - z - 1. Let f(c) = 8*c + 6*c**3 + 14 + 7*c**2 - 9*c**3 + 4*c**3. Let n be f(-6). What are the prime factors of r(n)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 8:57 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/539 (b) 2\/7 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -10.1. Let l = -26.6 + 27. Which is the nearest to u? (a) 0.2 (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25099108.\nAnswer: 2, 113, 55529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 - 1001\/(-28). Suppose m = 5*d - 3*d. Let j be 3\/(-18) - (-3)\/d. Solve -4*z + 6 - 18 = j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 439 * 5.\nAnswer: 2195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/2? (a) 6 (b) -19714 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9)\/(-1)*-6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162652, 162631, 162598, 162553, 162496?\nAnswer: 162427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1874 divided by 1874\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*c - 0, y + 9 = 3*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in 0.286, 2.7, 0.3?\nAnswer: 0.286","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 370109 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5))**(-23)\/(((g**(-1)\/g)\/g*g)\/g)**1 assuming g is positive.\nAnswer: g**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*u**6 - 2*u**4 - 994*u**3 - 52468*u**2 + u wrt u.\nAnswer: -360*u**3 - 48*u - 5964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 88.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44*7\/28*-4*12*(-30)\/(-160).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -5)*6\/4. Let m be 296\/f - 2\/(-3). Let n be (370\/25)\/(2\/m). Round n to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + z + 2*z**2 - 2 + (2 + 1 - 5)*(-106*z**2 + 197*z**2 - 65*z**2) + 1 - 4*z**2 - 1.\nAnswer: -54*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/5 (b) 2 (c) 1 (d) 882088\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1504 is divided by 93?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + 4 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.08248 * 0.5\nAnswer: -0.04124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*d - 3*w - 12, 0 = -3*w - 9. Suppose -5*m + 90 = d*p, -2*p + 3*p + 102 = 5*m. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**5 - 517*v**4 + 39551*v wrt v.\nAnswer: 20*v**3 - 6204*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 442?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mey when three letters picked without replacement from {m: 1, e: 2, y: 1, p: 2, t: 1, u: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -2*a + 6*a. Suppose -272730 + 283290 = 11*z. Calculate the greatest common divisor of z and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 7:26 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z - 7*z - 85 = 0. Suppose -z*m + 61 = -4*h, 26 = -0*m + 2*m - 2*h. What is the highest common divisor of 225 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*l + 926 - 568 + 2199 - 5*l - 8885*l**5 + 11*l wrt l?\nAnswer: -177700*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -45 and 175.\nAnswer: -7875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 931a?\nAnswer: -9320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 91, 0.7, -13, -3, -2 in descending order.\nAnswer: 91, 0.7, -2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -81*f**2 + 33*f + 15. Let c(q) = 29*q**2 - 17*q - 4. Let h(g) = -7*g**2 + 4*g + 1. Let v(s) = -2*c(s) - 9*h(s). What is 33*v(x) + 2*z(x)?\nAnswer: 3*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 118689336 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.12, -128, -6\/5, -491, 15?\nAnswer: -491","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25235 - 25230. What is the second smallest value in 19, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8 + 78 - 41*a + 82*a + 110 wrt a?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -486 times -0.1\nAnswer: 48.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 + 0 = 5*x + g, -5*g = -2*x - 132. Let u = x + 66. Solve -1\/2*y + 1\/2*y**2 + u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 186847983*r + 965365056 wrt r.\nAnswer: 186847983","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/3 + 11444*d**2\/7 + 2607128*d\/21 - 249232\/7 = 0. Calculate d.\nAnswer: -74, 2\/7, 2526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5946258293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1545619, -1545620, -1545621, -1545622?\n\"Answer: -i - 1545618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/590183 and 11\/160959?\nAnswer: 1770549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 4 + 6 + 5*k)*(-7*k + 18*k + 30*k**2 - 13*k).\nAnswer: 150*k**3 + 50*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**3 + 208*i**2 - 1164*i - 1368 = 0.\nAnswer: -57, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttg when four letters picked without replacement from gttttttgttttt?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5352*g - 1785*g - 1786*g + 3 - 15*g**2 - 1788*g to the form i*g + q*g**2 + u and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -99*g + 24*g + 29*g + 43*g. Let b(w) = -w - 960. Determine b(o(y)).\nAnswer: 3*y - 960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204766, -409496, -614216, -818920, -1023602?\nAnswer: -1228256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + 53*o + 285. What is the remainder when 194 is divided by q(-6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -854249*j**2 + 520518?\nAnswer: -1708498*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -73574 (base 11) to base 2\nAnswer: -11010001010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24, -45, -76, -123, -192?\n\"Answer: -g**3 + g**2 - 17*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195 - 386 + 191 + 847*l**2.\nAnswer: 847*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-7 - (-8 + 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1010, -1005, -996, -989, -990, -1005, -1040?\n\"Answer: -j**3 + 8*j**2 - 12*j - 1005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -4, 2\/39, -0.4, -25\/162 in increasing order.\nAnswer: -4, -0.4, -25\/162, 2\/39, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 2:30 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 + 172 = -33*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/2 + 105*m**3 + 1174*m**2 - 2772*m.\nAnswer: m*(m - 2)*(m + 14)*(m + 198)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-66) - 157826\/(-22). Suppose -1436 = -15*c + a. Does 41 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (2\/6 - 1). Let a(r) = -2*r**2 - 35*r + 64. Let t be a(-19). Suppose -l - 1 = 5*g, -2*l - t + 5 = 0. What is the nearest to g in m, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -1 + -5 + 3\/3)\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.1 + 5.111756. What is k rounded to 4 dps?\nAnswer: 0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/25*(-1 + 45\/(-30)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000125695898 rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -72098715 divided by -14419743?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-40) + 48\/(-64). Let t(g) = 5*g**2 - 2*g + 1. Let w be t(1). Let v be (-2 + 2)*(-2)\/w. Which is the nearest to v? (a) 0.3 (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 77859.555 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 2\/93, 9, 5, -0.3?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.422 - -0.178. Let z = 0.43 + -0.03. Let q = j - z. Round q to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4 = 7. What is the closest to -1 in p, -1\/4, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13 + -4 + 1)\/1. Let p(r) = -r + 12. Let z be p(y). Suppose 0 = z*q - 14 - 14. Calculate the smallest common multiple of 4 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**5 - 2831*a**2 + 2*a - 677?\nAnswer: -60*a**3 - 5662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5c49b + -2?\nAnswer: 5c499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 3*h - 2. Let q be i(-1). Suppose -q*a + 22 = -24. Let w = 38 - a. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 23463 (b) -5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -49069, -98090, -147075, -196024, -244937, -293814?\n\"Answer: 18*x**2 - 49075*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3588, 4118, 4650, 5184, 5720, 6258?\nAnswer: 6798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 0.3 (b) 0.0301 (c) -1 (d) -20 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 11. Let j = 16 - 5. Let l be g(j). Which is smaller: l or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*z = -3*z + 825, -5*y + 833 = z. What is y rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52535850641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22096 divided by -8?\nAnswer: -2762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/299 - -1777\/5083. Let z = 35\/51 - v. Put -0.3, z, -1 in descending order.\nAnswer: z, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d\/d**(-5\/6)*d*d)*d**(-2)\/d*(d\/d**(-3))**45 assuming d is positive.\nAnswer: d**(1039\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8178017 to the power of 1\/3, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14893 + 14919. Suppose w - 101 = -36. What is the highest common factor of z and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*z**3 - 9 + 9)*((z - 5*z + 2*z)*(2 + 0 - 4) + z + 5*z - 4*z + (3 - 3 - 2)*(-7*z + 6*z - 2*z)) to l + y*z + w*z**3 + m*z**2 + o*z**4 and give o.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 4*x + 1. Let h be r(4). Let m be h\/2 - (-5)\/(-6). Sort 0, -0.1, m in ascending order.\nAnswer: m, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - -222?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882437 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**5\/20 - v**4\/2 - v**3\/6 - v**2\/2 + 3*v. Suppose 3*l = -5*u + 55 - 16, l - 5 = u. Is q(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**2 + 288*o - 203. Calculate f(69).\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**5 - x**4 - x**3 + x**2 - 4*x. Let k(p) = -9*p**5 - 31*p**4 + 20*p**3 + 774*p**2 + 1904*p + 1440. Let u(b) = 10*j(b) - k(b). Factor u(v).\nAnswer: -(v - 15)*(v - 12)*(v + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krnn when four letters picked without replacement from {k: 3, z: 1, n: 3, r: 7}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 825807650 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68158 and 63014.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*(-20)\/(-80) - 3)\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/97 at least as big as -5426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/44*(-27)\/(-27). Let p = -1.41 - -5.41. What is the third smallest value in p, b, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 61952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*w + 15, 5*x - 2*x - 3*w + 18 = 0. Let b = -20 - -34. Let l = b - x. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -2.8. Suppose 5*t + 20 = 3*v - 7*v, 3*v = -3*t - 12. Which is the nearest to v? (a) 0.5 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/9*((-12)\/(-10) + -1). Let n = 10.7 - 11. Let z = n + -4.7. What is the nearest to k in z, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 328 and 197128?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135042284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 19 = 4*f. List the prime factors of 280\/(f\/(-3))*(-6)\/(-2).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-7 - -3) - -1) + (42 - (24 + 32)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 5)*(140*h + 81*h - 67*h).\nAnswer: -462*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*g - 2*h - 43, g = -5*h + 6. Let m be (-6)\/4*g\/(-3). Solve -d + m = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*t + 161*t + f = 14, -4*f - 4 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 2. Let k be l(-10). Suppose 0*n = n - k. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*s**3*x**4 - 3598*s**3*x**2 - 11*s**3*x - 104*s**2*x - 1 wrt x.\nAnswer: 108*s**3*x**2 - 7196*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1947635*-3.\nAnswer: 5842905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 4*g**2 - 5*g + 2. What is w(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.21811 - 0.25811. Which is the second smallest value? (a) 0.05 (b) 2\/9 (c) q (d) -1\/9 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/18 and 91\/306.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + 3 - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54.5 + -55. What is the closest to -1 in b, 1\/2, -2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -94 + 0*(-3)\/(9\/3). Let q be z\/(-18) + (-6)\/27. What are the prime factors of (-622)\/(-6) + q + (-66)\/18?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g + 2. What is u(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45540 by -2.\nAnswer: 22770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 180*c + 344.\nAnswer: 4*(c + 2)*(c + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3905008503 - 3904974630.99994. Let m = q + -33871. Let d = -1 + m. Round d to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 9:33 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -17 - 12 - (-5 - -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.161 - -0.311. Sort 4, p, -5\/3 in ascending order.\nAnswer: -5\/3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26418 - 4?\nAnswer: 26414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 123 = 3*i + 14, -5*p + 180 = -2*i. Let x = -197 + 254. Calculate the remainder when x is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/15057 and 107\/778662.\nAnswer: 5450634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2)\/r)\/(r\/(r*r\/r**3)))\/(r**(-2\/5)\/r**(1\/12)))\/((r\/(r*r**(-1)\/r))**(11\/5)\/(((r\/(r\/(r**(-2\/11)*r)))\/r)\/r**(-2\/3))) assuming r is positive.\nAnswer: r**(-371\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5564, 11093, 16622, 22151, 27680, 33209?\nAnswer: 38738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -903d - 557c?\nAnswer: -105bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8*m - 3. Let x(l) be the second derivative of -16*l**3\/3 - 13*l**2\/2 + 19*l - 155. Calculate -9*r(n) + 2*x(n).\nAnswer: 8*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1673679.\nAnswer: 3, 7, 79699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 540370030 - 4?\nAnswer: 540370024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 - 9*v + 6. Let m be i(3). Suppose -m = -2*x - 2. Suppose -x*p = 4*p - 378000. Round p to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 23*v + 10. Give j(15).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3522 (base 7) to base 6\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 113.96767 to two decimal places.\nAnswer: 113.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a milligram in micrograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1702 = -5*c - 1722. Let k(b) = 4*b**2 - 2*b. Let h be k(2). Sort -1, c, 0, h in increasing order.\nAnswer: c, -1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/12 and -23\/222.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-2 - 2) + 1 + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlolollzxflllzzxxolx. Give prob of picking 1 x and 2 l.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 - -91. Solve -u - 2 = d + d, -3*u + 3*d = -b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 4\/3*s**3 + 0*s**4 + 3\/7*s**7 + 0*s**6 - 3 + 0*s**2 + 0*s + 0*s**5. Find the third derivative of d(u) wrt u.\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 71*m - 592. Let y be n(-7). Solve -20 = 5*k + 2*g + 5, 4*k = y*g - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, -1, 2\/3 in descending order.\nAnswer: 2\/3, -1, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + -13. Let o = -4 - p. Let i(s) = -s**3 + 16*s**2 - 14*s - 11. Let l be i(o). Solve 3*y - 4*y = -5*k + 15, 3 = y + l*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-43848)*-26245 - (2 + 80\/(-42))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 324 - 133. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1431 divided by -5\nAnswer: 1431\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34586 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 2*m + 13*m.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -20*i**3 + 783*i**2 - 113*i - 163. Determine q(39).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24092 + 70*m + 24104 - 48196.\nAnswer: 70*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5410\/7531 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2)*((4*y - 4*y + 2*y)*(5 - 3 - 4) - y + 2*y + 0*y - 5*y + 4*y + 3*y - 64*y - 87*y + 21*y) as v*y + r and give v.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34733837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 4*j = -3*j - 6*c + 48, -28 = -2*j - 3*c for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**4\/12 - w**3\/6 + 12*w**2 + 25. Determine p(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 367353?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 5*k**2 - 4*k + 4. Let o be t(-4). Let s be (0\/(-2))\/((1 - 0)*-2). Suppose s = -2*z + 4*z - o. Solve 2*j - z + 0 = 2*u, -5*u + 16 = 2*j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ccc + 4?\nAnswer: cd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-14) - 52\/273)*-7?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yii when three letters picked without replacement from tytyiiii?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7276 + 7277 - 14553 - 7*t**3 + 16*t**3 - 11*t + 3*t**3.\nAnswer: 12*t**3 - 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 0.0739\nAnswer: -0.5912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1102 - 1671. Let y = 577 + u. Calculate the greatest common divisor of y and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 14*s + 6. Let a(g) = g**2 + 2*g - 1. Let p(i) = -48*i**3 - 4*i**2 - 6*i - 67. Let f(o) = s*p(o) - 3*a(o). Differentiate f(v) with respect to v.\nAnswer: 144*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -60\/13, -26, 1, -5, -1\/2, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9690199031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 7*r + 143. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 256\/96*((-30)\/40)\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1146 = t - 6*b + 1257, t + 33 = -4*t + b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -0.055.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, o: 4, j: 4, d: 3, r: 1}. Give prob of sequence dl.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -25*o**7\/21 + 7*o**5\/20 + o**4\/8 - 122*o**2. Find the third derivative of l(m) wrt m.\nAnswer: -6000*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 55\/4 of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5 = 4*g, 8*g + 4*n + 14 = 3*g. Put 3, g, 1, 4 in descending order.\nAnswer: 4, 3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 13*l**2 + 15*l + 6. Suppose c = b - 1, -2*c - 23 = 3*c + b. Is 35 a factor of d(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 35*g**2 + 36*g**2 - 69*g**2. Let q(s) = 9*s**2 + 6*s - 6. Let y(h) = -2*h - 1 + 3*h - h**2 + 2*h**2. Let i(c) = q(c) - 6*y(c). Give f(i(p)).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1 - 30*w - 21*w + 71*w - 21*w. Let d(t) = t - 3. Give 3*d(x) + 5*u(x).\nAnswer: -2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*h + 14 = 0, -3*w - h + 12 = 2*w. Let q(u) = 7*u**3 + 6*u - u**w - 6*u. Is q(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/66*15 + -6*(2 + 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -13*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.696397g in tonnes?\nAnswer: 0.000005696397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 70182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 75*j**2 + 1069*j - 849. Give x(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 6*t - 25. Let h(s) = 50*s**2 + s - 7. List the prime factors of h(t).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 3, -1.7 in increasing order.\nAnswer: -1.7, -2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -14 (b) -142 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9451 divided by 13.\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of -9 - (-158)\/18 - (-3 - (-343554)\/(-27))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*10\/(-360)*8\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110002221210 (base 3) in base 5?\nAnswer: 30111400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10626 - 5?\nAnswer: -10634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/4 + 91*n**3\/4 - 657*n**2\/2.\nAnswer: -n**2*(n - 73)*(n - 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(320) + sqrt(320) + sqrt(320) + -2)*2 + -1) + ((sqrt(320) + sqrt(320) + 3 + 0)**2 - (5 + (sqrt(320) + 1 - sqrt(320)))).\nAnswer: 192*sqrt(5) + 1273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 512*y - 130*y + 309*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 125480?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 37*g**2 - 3*g - 7. Let v(r) = 12*r**2 - r - 2. Let o(k) = -7*v(k) + 2*y(k). What is o(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 6:27 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2160 and 47\/735480.\nAnswer: 1470960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -354 (base 8) to base 14.\nAnswer: -12c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 0, 5*j - 2*c - 20 = 2*c. Suppose -2*i + j = a, -3*a = 2*i - 4*a - 4. What is the third derivative of 13*m**i - 127*m**4 - 5*m**5 + 127*m**4 wrt m?\nAnswer: -300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**3*f + 15965*a**3 - 2*a*f - 1327*f wrt f?\nAnswer: a**3 - 2*a - 1327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/9 - 76*p**2 + 17328*p - 1316928.\nAnswer: (p - 228)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 4*b + 6. Let t be x(-4). Suppose -k + t + 4 = 2*y, 14 = 3*y + k. Factor g**2 + 0*g**3 - 14*g**3 + 5*g**2 + 4*g + y*g**2.\nAnswer: -2*g*(g - 1)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - (-126)\/24) + (-287)\/(-4). Determine n so that 532*n**2 - 28*n**4 - 22*n**3 - 328*n - 60*n + y - 166*n**3 = 0.\nAnswer: -9, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 8\/7, -1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154726968 is divided by 68.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 47?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p = 22*p - 3*q - 749, -3*q + 779 = 4*p. Calculate the remainder when p is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j. Let u = 34 + -31. Let m(y) be the second derivative of 0*y**3 + 0 - u*y + 0*y**2 + 1\/6*y**4. Give m(r(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -61*j**3 - 167*j**2 - 144*j - 31. Let r(q) = -30*q**3 - 84*q**2 - 72*q - 15. Suppose 56 - 35 = -3*i. Let p(y) = i*r(y) + 3*v(y). Factor p(k).\nAnswer: 3*(k + 1)*(k + 2)*(9*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*u - 440 = 84*u. Sort 1, -5, 2\/11, u, 1\/7 in ascending order.\nAnswer: -5, 1\/7, 2\/11, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f. Let j(n) = 402040*n - 1380. Let y(p) = 2041*p - 7. Let t(o) = -7*j(o) + 1380*y(o). What is t(b(c))?\nAnswer: 6900*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-6)*(((i\/i**(6\/7))\/i*i)\/i)\/i*i*i**(-1\/5)*i*i**(6\/7)*i assuming i is positive.\nAnswer: i**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1914)\/290 - 4568\/(-680).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, l: 1, y: 1, b: 2, g: 2}. Give prob of picking 2 b and 2 p.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -244.876 + 245. Let v = s + -0.024. Which is the smallest value? (a) -4 (b) -1\/2 (c) 3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1. Let w(h) = -3 - 3*h - 12*h + 18*h - 2*h. What is 7*c(x) - 4*w(x)?\nAnswer: -4*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7184, 8153, 9122, 10091, 11060, 12029?\nAnswer: 12998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + -58. Which is the third biggest value? (a) s (b) 1\/5 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 13) to base 5.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 1\/84*u**4 + 1\/210*u**5 + 0 - 1\/2*u**2 + 0*u**3 - u. Let o(d) be the first derivative of w(d). Factor o(c).\nAnswer: 2*c*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 10*o. Let j be y(1). Let x(q) = q**3 - 10*q**2 + 3*q. What is the lowest common multiple of x(j) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -72658\nAnswer: 3\/72658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 17) + 15 + -19?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*w + 1553*w = -69*w + 51984 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -39*27\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kylkybkpppkky. What is prob of picking 1 b and 3 y?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -32*t**3 + t**2 - 2. Let q be s(2). Let m be 4\/(-12) - q\/6. What is the greatest common divisor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 177 + -175. Let z(j) = 89*j**3 - 2*j**2 - 4*j + 5. Is z(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 divide 36261684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 47919006 to the power of 1\/2, to the nearest integer?\nAnswer: 6922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 11:02 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 946099.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 18. Suppose 4*p + 20 = 5*z, p = r*z - 21 + 1. Let d be 2\/(-8) - (-9)\/z. Which is bigger: d or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k + 13. Let i be v(-4). Let j(s) be the third derivative of 2*s**2 + 0*s**3 + 0 + 0*s**4 - 1\/30*s**i + 0*s. Let d(x) = -2*x. What is d(j(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 38135*x. Let u(p) = 35*p - 8. Calculate z(u(s)).\nAnswer: 1334725*s - 305080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136831906*k**3 + 1138289*k**2 + 25?\nAnswer: -820991436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, 4, 51, 150, 319, 576, 939?\n\"Answer: 3*z**3 - z**2 - 5*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4500 is divided by 1\/(45492\/(-2844) + 16)?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4 + 203*o**3 - 5241*o**2 - 561803*o - 556358 = 0. What is o?\nAnswer: -38, -1, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssdsdssdss. What is prob of picking 2 d and 1 s?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -652\/13*x - 50*x**2 + 0 + 2\/13*x**3.\nAnswer: 2*x*(x - 326)*(x + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 2. Let o be t + -4 + (1 - 1). Let b = 8 - o. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 330.00000649 + -330. Round v to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 11*s - 4. Suppose 0 = -9*h + 5*h. Suppose h = -5*v + 25, 8*p + 2*v + 20 = 3*p. What is the units digit of q(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39437 divided by -113\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-363) - 598\/286.\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9552873 plus -6.6?\nAnswer: -5.6447127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbsd when four letters picked without replacement from wsssqsqsjjbjjwqssdq?\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + g - 5*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**2 + 10*q + 54. What is h(-4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31345 is divided by 107.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 + (-76 + 73 - -18).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -1. Let y(h) = 2*h - 10. Let c(x) = -r(x) - y(x). Let o be c(-14). Calculate the highest common factor of 429 and o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010894142 to 7 dps.\nAnswer: -0.0000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + k + 3)*(-1 - 1 + 4) - 1 - k + 1 - k - 3*k - k + (2*k + 0*k - 3*k)*(0 - 2 + 3) - 2*k - 3*k + 3*k + 18 - 18 + 4*k + 4 - 4 + 2*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 + -50.6. Put -3\/5, j, 0.5, -5 in descending order.\nAnswer: 0.5, j, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**2 - 3*b + 5. Let f(m) = -2*m**2 + 2*m - 3. Let n(v) = 5*f(v) + 3*y(v). What is the remainder when 22\/2 - (3 - 2) is divided by n(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8*j + 50. Determine g(14).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**2 + 117*p = 0.\nAnswer: -117, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2275 - -2137. Put 2, p, 0 in descending order.\nAnswer: 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -850, -4, 1 in ascending order.\nAnswer: -850, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5823*o = -997*o + 59410 + 321844 for o.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000001000000 + -1000100101101?\nAnswer: -101000101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 141 + 431. Calculate the greatest common divisor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171))**2 + -3 - (sqrt(76)*-1)\/sqrt(4)) + sqrt(190)\/(sqrt(110)\/(sqrt(22)\/sqrt(2))) + 5.\nAnswer: 2*sqrt(19) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x = 20. Suppose 490 = -x*p + 6*p. What is p rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -10, 16, 40, 56, 58, 40, -4?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6 + (-2752)\/24. Let l be (-4 - -1)*b\/18. Let g = -8 + l. What is the remainder when g is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 3447*a + 65003. Determine z(19).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*k + 867 = 23*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 w when three letters picked without replacement from hhhwhwhjjww.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -29204 - -422835904\nAnswer: 422806700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41221 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -13\/3*o**3 + 0 + 0*o - 1\/24*o**4 + 31*o**2. Let p be g(-30). Solve 12 = -j - p*b, -4*b = -3*j + b + 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + z**2 - 1. Let i be -1*((-4)\/(-2))\/2. Let p be a(i). Let y(t) = -t + 1. Let d be y(-2). Sort p, -4, d in decreasing order.\nAnswer: d, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/2055 and -7\/51180.\nAnswer: 7011660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 17*m**2 + 4861*m - 331. Determine d(-286).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + u + 1. Let h(t) = 12*t**2 + 4*t + 4. Calculate h(f) - 4*o(f).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**3 - 2*l**2 + l - 2. Let c be i(3). Let t = -31 + c. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -147 + 151. Suppose -3*s - h*g + 5 = -8*s, g = 3*s - 4. Solve -s = 4*w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -733 + 733.00035. Round h to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.7, 5\/4, 3\/2, -0.2, -6, 66?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 5 + 0)*(-5*m**2 + 0*m**2 + 0*m**2)*(-4*m + 4*m + m).\nAnswer: 85*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z, -4*t - 4*z - 60 = -7*t. Solve 5*h - 2*v - 3 = -25, 4*h + t = 4*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22, -4\/7, -6, 10\/51?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-1)\/2 + 5. Suppose -3*h - 10 = 6*y - 4*y, -h - w = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325*d + 325*d - 143*d**3.\nAnswer: -143*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590 = 5*h + 8*j - 11*j - 611, h = -0*h - j - 7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.7*-141.\nAnswer: 803.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f + 4. Suppose -d + 4*d = -6. Let g be l(d). Solve -4*x + 0*x + 20 = g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or 2031314?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(500) - (2 + sqrt(500) + 0)) + sqrt(500) + ((sqrt(500) - (1 + sqrt(500))*3) + sqrt(500))**2)*3 + 4)*-5.\nAnswer: -7580 - 1050*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -y**2 + 46309*y + 506510?\nAnswer: -2*y + 46309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1215 + 1329 = -318*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 10*q + 12. Let n be h(5). Let a be n\/14*(31 - 40\/4). Solve 11 = 7*g - a*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)\/k*k*k*k**6\/k)\/(k**(-4)\/k**(-3\/5)) assuming k is positive.\nAnswer: k**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/95*(-472)\/16. Let b = 3 - n. Let z = -0.02 - 1.98. What is the second smallest value in b, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8712149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -4*z + 20, -17911*g + 4*z = -17880*g - 61 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/11)\/((-1)\/((-133)\/342 - 4\/36))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + a**2 + 31*a - 32*a - 2*a**2 to the form r*a**2 + c + j*a and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3154.6 * 3\nAnswer: 9463.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 3 = 52. Let o be (-10 - -2)*(-5)\/10. Suppose -3*s - n = 5*w, s + s - w - o = 0. Put s, 7, 2, -4 in decreasing order.\nAnswer: 7, 2, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-15) - (-35)\/(-75).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1085080497 is divided by 12950.\nAnswer: 12947","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 103248, 104143, 105038, 105933, 106828, 107723?\n\"Answer: 895*r + 102353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1726202*m - 1726202*m + 6*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/(n\/(n\/(n*n*n**7*n)))*n*n**10*n)**10*((n\/n**(2\/3)*n)**(1\/15))**(-28) assuming n is positive.\nAnswer: n**(2138\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -49964 times -0.96?\nAnswer: 47965.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2639806 and 936?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1078 - -1151\nAnswer: 2229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - 2*g - g)*(1 - 4*g**2 + 18 - 8) to n*g + v + t*g**2 + c*g**3 and give n.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3 + 4 = -s, 4*p = -s + 2. Suppose -4*v - 75 = -9*v. Let x = v - s. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/7, -4, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -527.867147 to the nearest integer.\nAnswer: -528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1277 divided by 7260\nAnswer: 1277\/7260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 4:42 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**5 + m**4*v**2 + 7*m**2*v - 2*m*v - 9*v**2 wrt m.\nAnswer: 60*m**3 + 12*m**2*v**2 + 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -11*z**2. Suppose 0 = -5*d - 3*f + 1090, 4*d - 4*f - 400 - 472 = 0. Let q(o) = -o**2 + 218*o - d*o. Determine u(q(l)).\nAnswer: -11*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186003 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53179.3 + 12.\nAnswer: 53191.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9751, 13850, 17949, 22048?\n\"Answer: 4099*v + 5652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qgotgnnoi. Give prob of picking 1 t, 1 q, and 2 g.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36526 is divided by 17968?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3569? (a) -5 (b) 259 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/123? (a) -4 (b) 229 (c) 3479\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10136 and 596103952?\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**3 - 2*p**2 - 10*p + 2. Let s(m) = -m**3 + m**2 - 1. Determine -n(y) - 2*s(y).\nAnswer: -2*y**3 + 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 + 8*q**3 - 20*q**2 + 16*q.\nAnswer: -q*(q - 4)*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -793137.01 rounded to the nearest 1000?\nAnswer: -793000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 480 divided by -8\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5854725064?\nAnswer: 2, 17, 43049449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1445\/11 + 133. Determine h so that 2*h**2 + u*h**3 + 4\/11*h + 0 = 0.\nAnswer: -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 5*q - 37 + 19 = 0, -q = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 939781 and 428.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36152*t**2 - 9*t**3 - 20*t - 5*t - 36152*t**2 + 25*t.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 8) to base 9.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**5\/60 - v**4\/24 + 8*v**3\/3 + 13*v**2. What is c(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3449150068.\nAnswer: 2, 7, 13, 728899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1011000101001101?\nAnswer: -1011000101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(((-1)\/(119\/(-51)))\/((-75)\/(-700)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*i**2 - 2*i**3 + 2 - 7*i**2 - 5*i + 7*i to g*i**3 + y*i**2 + a + l*i and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*t + 97*t - 1736 = 0. Calculate the greatest common factor of t and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2881073586 to the nearest integer?\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*j**3 + 5*j**4 + 37*j**3 + (2*j + 0*j + 0*j)*(j**2 - j**2 + 2*j**3) + j**4 - j**4 - 2*j**4.\nAnswer: 7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 1.2. Let u be (-6)\/(-240)*-2 + (-1)\/(-4). Let n = -856 - -857. Which is the nearest to y? (a) u (b) n (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 73*s + 1258. Give d(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43774, -87573, -131372, -175171, -218970?\n\"Answer: -43799*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1982858 or -3965717\/2?\nAnswer: -1982858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 15504997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b - 1. Let z(o) be the second derivative of 0 + 10*o + 0*o**2 - 1\/6*o**3. Calculate 2*a(p) - 7*z(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 27 - 5 = 5*t, 5*t = 10. Let u be (-2)\/(-12)*369 - b\/(-4). What is the highest common factor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-6)\/k)\/(k*k**2\/k*k*k*k*k*k))\/(k**(-1\/5)*k**7)*((k**1)**(-47))**(-2\/19) assuming k is positive.\nAnswer: k**(-1316\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -24340.66 rounded to the nearest 10?\nAnswer: -24340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j**2. Let p(m) = 47*m. Give k(p(o)).\nAnswer: -15463*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*-282*1\/(-7)*(-28189)\/(-16108)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*n**3 - 70*n**3 - 58*n**3 - 37*n**3.\nAnswer: -114*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713 is divided by 106.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 7. Let w = -1.06 + 0.06. Sort f, w, 0.1 in increasing order.\nAnswer: f, w, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, d: 1, y: 10, h: 1}. What is prob of sequence yhdh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + 0\/(-13) - (-4)\/(-1). Let m = -64 - -66. Solve 17 = -o*h + m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1857616 rounded to three dps?\nAnswer: 0.186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(((-54)\/(-4))\/9). Let n(o) be the second derivative of 0*o**w - 1\/10*o**5 + 0*o**3 + 1\/6*o**4 + o + 0. What is the third derivative of n(k) wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 617\/1624 or 0?\nAnswer: 617\/1624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.109, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(350) + (sqrt(350) - sqrt(350)*2) + sqrt(70)\/sqrt(5)*1 + sqrt(14)))\/((sqrt(588)*-1)\/(sqrt(6) + (sqrt(216)*1 - sqrt(216)) + sqrt(6))).\nAnswer: 20*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {a: 2, y: 2, w: 1, u: 1, t: 1, o: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from {t: 1, w: 1, z: 5, p: 6, j: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4583.781 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 42 = 7*r. Suppose 5*d + r = 8*d. Are 8 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5410044041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.1. Suppose -3*r + 5*r = 0, 2*m - 140 = -3*r. Let s = m + -72. Which is the closest to l? (a) s (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 10*w + 10 = 15*w, 2*u - 2 = 2*w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -28, 294, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 156, 5, -1.\nAnswer: -1, 5, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.959873 + 0.957. Round i to four decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.92 (b) 22 (c) -4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 21, 2\/17, 4, -0.1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/3))**23)**(2\/39) assuming n is positive.\nAnswer: n**(92\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14209144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (8\/15)\/((-1)\/9) and -59\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3480 + 2031. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1200691801*n**5 + 4802489996*n**4 + 4801658388*n**3 - 1108768*n**2 + 64*n = 0. Calculate n.\nAnswer: -2, 0, 4\/34651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-2))\/(((-168060)\/21008 - -8)\/250). What is o rounded to the nearest ten thousand?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7717 or -7714?\nAnswer: -7714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/6*330\/(-396))\/((-7)\/196)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, 6, -1\/2, 31?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 129 (b) -0.3 (c) 1 (d) 0.21 (e) -3 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 21\/((1840\/(-736))\/(5\/3))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75203 is divided by 24989?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4)\/k)\/k)**29*((k**(-1)\/k)\/k*k)**(-1\/3) assuming k is positive.\nAnswer: k**(-775\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -1711 in decreasing order.\nAnswer: 5, 3, -1711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 3:47 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = -9*b - 835. Let x = b - -70. Suppose -v + 23 = -5*d + 3, -x*v + 100 = 4*d. Solve 5*c - v = -5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*-4*(sqrt(45) + (sqrt(405) - sqrt(45))))\/(4*(sqrt(27)\/sqrt(3) + sqrt(9)) + sqrt(144)*2).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oggg when four letters picked without replacement from {s: 3, g: 4, o: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-6*sqrt(99) - (sqrt(11) - (sqrt(11) + 0 - sqrt(11))*2) - ((sqrt(1584) + 2 + sqrt(1584))**2 - (4 + sqrt(11) + -2 + sqrt(11)))))*-5.\nAnswer: 565*sqrt(11) + 31690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 3*j + 8. Determine c(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*y**3 - 16*y**2 + 16*y**2 - 48 + 49 as u*y**3 + p*y + t*y**2 + s and give u.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8 (b) -4\/7 (c) 70 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16\/10681 + -256863\/7476700. Calculate the common denominator of 23\/100 and r.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*x, -3*x + 14 = -5*l + 7*l. Suppose -5 + l = -4*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -431527 (base 11) to base 5\nAnswer: -134040332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.64546 at least -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58891*o - 53 = -3*q - 58887*o, q - 7*o - 114 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16\/((-96)\/(-15))*2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4409 = f - 4389, 0 = v + 4*f + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 86*y - 81*y + 4 = 0, -10 = -2*i + 2*y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1008705, -1008708, -1008711, -1008714?\nAnswer: -1008717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3393.64333619 from 7.59.\nAnswer: -3386.05333619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000052192 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*w + t, 4*t + 1 = -2*w - 1. Let m(a) = a**2 - a - 4. Let z be m(w). Let 1\/2 + 1\/2*j**z + j = 0. Calculate j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/2896 and 77\/45152.\nAnswer: 8172512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -186*h**4 + 435*h**2*p - 69918*p wrt h.\nAnswer: -744*h**3 + 870*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - 2660a?\nAnswer: -26602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 0.3 (c) -6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-7 + 26)) + (765 - 758)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p - 12*p - 5 + 5 to o*p + v and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.58 to zero decimal places.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14714716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 23712 divided by -3\nAnswer: -7904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**5\/20 - 13*q**4\/12 - 11*q**3\/6 - 7*q**2\/2 - 28*q. Let p be o(-13). Calculate the greatest common factor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 973186.5 years?\nAnswer: 973.1865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-272)\/(-28) + 4\/14. Is (2 + 211)*u\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14853?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 28*i - 37. Determine d(-27).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3 + 105\/(-9). Suppose 5*r + 1109 = 939. Let g = c - r. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 3 - 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**2 - h - 6. Give k(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v + 6 + 1 - 4.\nAnswer: 9*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12920)\/6)\/(((-6)\/(-27))\/(-2)). What are the prime factors of c\/34 + -5 + 1?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 890456.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from ycyyyyyyyyyyyyyyyy?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((1\/(-1))\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7740, -12646, -17552, -22458, -27364, -32270?\n\"Answer: -4906*f - 2834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3\/3 + 241*g**2\/3 + 4085*g - 94299 = 0 for g.\nAnswer: -129, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42755 - 3?\nAnswer: -42758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wllwaalwawwlwlwwa. What is prob of sequence walw?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(30)*2)\/sqrt(6))**2.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*3 - 30\/10. Let c(g) = g**2 - 8*g + 10. Let h be c(7). Let a = h + p. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2)\/b)\/(b**6\/b))**28\/(((b*b**(-3\/2)\/b)\/b*b)\/(b**(-4)\/b)*(b**(-2\/19)\/b)\/b*b*(b**(2\/15)\/b)\/b) assuming b is positive.\nAnswer: b**(-104041\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 + -59. Suppose -16*b + 17*b = r. Solve -20 = b*k + k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbb when three letters picked without replacement from {b: 4, o: 2, x: 7, r: 3, c: 1}.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 153992*d**4*o + 52*d*o - 1002*d + 2*o wrt d.\nAnswer: 1847904*d**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1773 (base 10) to base 7.\nAnswer: 5112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -87515492?\nAnswer: -87515492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*a + 6. Solve 2*u + a = 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -130530 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -629763889 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 41193*r**2 + 40120*r**2 - 84609*r**2 in the form z*r**2 + x*r + l and give z.\nAnswer: -3296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -25) + -41 + 41?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.86538 micrometers to meters.\nAnswer: 0.00007986538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 14 = -8. Is 5715\/35 + x\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*i + 2*r, 2*i - 2 = -r - 0*r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/15 - 284*z**2\/15 + 562*z\/15 - 56\/3.\nAnswer: 2*(z - 140)*(z - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 - -55. Let r = -35 - l. Solve f - t = -r*f + 12, 4*f = -2*t + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1388, -6905, -16104, -28985, -45548?\n\"Answer: -1841*z**2 + 6*z + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + 3 + 3 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 2*j - 9 = -1, -2*y - j = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, v: 3, g: 1, a: 3, x: 3}. What is prob of picking 1 w and 1 x?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1. Let p = 17085 - 17082. Let y(o) = -2*o - 5. Give p*m(u) + y(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**5\/30 + u**4\/6 + u**3\/3 + 3*u**2. Factor r(l).\nAnswer: 2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 11 - (-10 + 8 + (0 - -2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - a + 9, -a = -u + 3*a. Solve -v = u*v - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 9*f + 4. Let x be i(-12). Let l = 69 + x. Calculate the remainder when 108 is divided by l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 101 = b - 2*m, 0 = m + 4. Let i = -45 + b. Calculate the remainder when i is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*(21 + -20)\/(2\/2). Let k(h) = -15*h**2 - 71*h + 7. Give k(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*g - 2*g - 6*g - 6*g.\nAnswer: -40*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44\/3*v + 8*v**2 + 0 - 1\/3*v**3 = 0. Calculate v.\nAnswer: 0, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -1\/3, -3, 1, -1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + v + 12. Let f be (-8)\/12*6*-1. Let l be d(f). Factor -2\/5*k**2 + l*k + 2\/5.\nAnswer: -2*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*x - 413697 = -486*x + 901023. What are the prime factors of x?\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 30. Let p(l) = 2*l + 29. Let a(k) = 5*b(k) + 6*p(k). Find the first derivative of a(d) wrt d.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0 = 6. Let c(y) = y**2 + 2*y - 9. What is the tens digit of c(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17733 divided by 3?\nAnswer: -5911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -1. Let d be z\/(-6)*6\/4. Let k = 2 + -2.5. What is the closest to d in -2\/7, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 8 = -0. Let f = 6 + -13. Let g = f + 7. What is the closest to g in 2\/3, -9, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*((-10)\/(-12))\/(((-525)\/7)\/15)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11414, -93675, -317620, -754091, -1473930, -2547979, -4047080, -6042075?\n\"Answer: -11807*r**3 + 388*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1860 - -1890. Put -1, j, 0, 2 in decreasing order.\nAnswer: j, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 24*g**2 + 13*g - 14. Let r be u(-23). Let d = r + -213. Let m(s) = -2*s**3 - s**2 + 1. Let l be m(-1). Solve n - l = -d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 72543384, 72543393, 72543402, 72543411, 72543420?\n\"Answer: 9*q + 72543375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 49*m**2 - 1440*m + 491. What is k(29)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 248*p + 56. Let v(f) = 13*f + 3. Let k(n) = 3*a(n) - 56*v(n). Let u(o) be the first derivative of -o**3\/3 + 48. What is u(k(q))?\nAnswer: -256*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 52 = 54. Let t be (-1)\/(o\/(-3))*8\/12. Let k(d) = -d - 1. Let m(z) = 5*z + 10. Determine t*m(l) + 10*k(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -246 (b) 1695 (c) -12 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 326, -5, -3?\nAnswer: 326","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnninnnnnn. What is prob of sequence nnin?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udij when four letters picked without replacement from ddiujuumddmiuuu?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 16. Suppose -144 = 630*z - 642*z. Find the first derivative of l - 15*q - 4 - 13 - z*q wrt q.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -0*q. Suppose q = -4*f + 216 - 4. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.85862 millilitres in litres?\nAnswer: 0.04385862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*u + 2*k - 14, 0 = -3*u + k - 12. Let n(v) = -14*v**3 - 3*v**2 + 6*v - 12. Is n(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbbddnznbnbnnbnbnczb. Give prob of sequence bcd.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(52\/78)\/(8\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**5\/5 + a**4 - 32*a**3\/5 - 28*a**2\/5 + 96*a\/5 = 0?\nAnswer: -3, -8\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s + 22 = 22*s - 47*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 9877 = 28*v - 23*v, 2*a - 6586 = -2*v. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -16697?\nAnswer: -6\/16697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d - 5*n = -190, 158 = 5*d - 3*n. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32.265616 + 37302.243116. Let d = -37344 + p. Let m = d - -74. Round m to three dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**5\/510 + 11*i**4\/204 + 10*i**3\/51 - 314*i**2. Determine w, given that v(w) = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 7 = -0. Let v(m) = m**2 - 46*m + 56. Let w be v(46). Calculate the greatest common divisor of u and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5626287, 5626346, 5626405?\nAnswer: 5626464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-370)\/(-60) + (5\/(-6))\/5. Suppose 3*v = -4*l + 821, -4*v = -d*v - 4*l + 550. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 611125 = 11*j - 564775. Round j to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*w - 337*w = 668*w + 29302 for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -43. Calculate the lowest common multiple of 8 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**5\/9 - 3262*d**4\/3 + 11797828*d**3\/9 + 424024960*d**2\/9 + 132149248*d + 777125888\/9 = 0.\nAnswer: -32, -2, -1, 2464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3 - 9. Solve 0 = v*w - 5*b, -2*b - 1 = 2*w - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 0*w + 0*w + 3. Let d = -1951 - -1947. What is f(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.237738 microseconds in hours?\nAnswer: 0.000000014232705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.85 - 3?\nAnswer: -35.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005815529 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 - 6*v**2 - 29*v**2 - 9*v**2.\nAnswer: -52*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**4\/12 - 2*f**3\/3 + 2*f**2 - f. Suppose 0 = 3*l + 5*x - 4*x + 16, l - 5*x = 0. Let v be c(l). Which is bigger: v or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5932836 by 117.\nAnswer: 50708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*a - 5*a = 0, 5*z - 3*a = 0. Solve i - 5*l = -9, z*i - 11 = 3*i + l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72457577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4128 and 3999.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 8299 and -208299524.\nAnswer: -208291225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/5)\/(18\/45). Let i = -115 - -217. Suppose m*a - i = -9. List the prime factors of a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f - 22. Calculate g(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 12*c**2 - 9*c + 24. Let d be j(-11). Suppose 3*s - 5 = b - 11, 3*b = -d*s + 51. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -102\/35, -10, -1\/6, -3\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -8*m - 80. Give u(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 186 and 612622?\nAnswer: 1837866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 2*l**3\/3 - 32*l**2 - 136*l - 456. Factor i(u).\nAnswer: 2*(u - 34)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 12*g - 4. Suppose -2*h + g*u = -40, -5*h + 0*h - 4*u + 136 = 0. List the prime factors of ((-7)\/((-14)\/h))\/((-17)\/(-204)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 567 - 431. Calculate the highest common divisor of 24 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*n - 330 = 2*n, -4*n - 1587 = -5*y. Let a = -207 + y. Let v = -22 + a. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86736.\nAnswer: 2, 3, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(32\/(-6)))\/((-45)\/24).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 23\/6, 3, -0.4, -0.11?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -9816 (c) -2\/15 (d) 2\/15 (e) 2\/3 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29373501, 29373494, 29373483, 29373468, 29373449, 29373426?\nAnswer: 29373399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21467, 42919, 64355, 85775, 107179, 128567?\n\"Answer: -8*s**2 + 21476*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*d**2 - 25*d**6 + 3*d**2 + 2*d**2 + 0*d**2 wrt d?\nAnswer: -3000*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1387)\/73*(-5)\/5\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32854.1363 * 0.2.\nAnswer: 6570.82726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2233517.\nAnswer: 11, 13, 15619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.44 rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-160)\/13320*-37)\/((-146)\/(-9))?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3156\/(-20)*10\/4*-2. What is the first derivative of -773 - 35*m**2 + 1618 - p wrt m?\nAnswer: -70*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117435814?\nAnswer: 2, 179, 223, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 595935 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 88 and 0.095.\nAnswer: 8.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 57.78434 tonnes?\nAnswer: 57784340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 - (3960\/(-616))\/(27\/(-63))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150583 to the power of 1\/2, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/7 + (-9)\/(-7). Let c(l) be the first derivative of l**4 + l**2\/2 + 23. Determine c(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 44.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/9))\/s*s**(-4\/3))\/(s**1\/(s*s\/(s**(-2)\/s))) assuming s is positive.\nAnswer: s**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 31, 84, 177, 322, 531?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 100 = 3*r, -r = 4*a - a + 30. Let c = r + 37. Solve -24 + 9 = -3*i - f, 0 = c*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33300 divided by -180?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*q + 4*y - 0*y, -3*q = -4*y - 7. Is -3*10\/15 + 8522 + q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 627, 2489, 4339, 6171, 7979, 9757?\nAnswer: 11499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 579 and 59919.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**5\/40 + 7*r**4\/8 - 4*r - 1. Factor h(w).\nAnswer: w**2*(w + 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 5.1. Let o be 5\/((-70)\/6) + 0. Which is the nearest to w? (a) -2\/5 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*c**2*s**2 - 6453*c**2*s + c**2 - 153*c*s**2 + 28*c*s - 27*c + s**2 - 5 wrt c?\nAnswer: 72*s**2 - 12906*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24159, 96606, 217323, 386292, 603495, 868914, 1182531, 1544328?\n\"Answer: -3*y**3 + 24153*y**2 + 9*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kibk when four letters picked without replacement from yikiykbgkkbibigkik?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 + 30*p**3 + 65*p**2 + 60*p + 20.\nAnswer: 5*(p + 1)**2*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/126*30\/(160\/(-16)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-26) - (2 - 1020\/546)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -9. Let x be 3\/b*1*-2. List the prime factors of 21\/(-2)*x\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -20, 7, -5 in descending order.\nAnswer: 7, 0, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvtvvvtvv. What is prob of sequence tv?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114332 (base 5) to base 6.\nAnswer: -32034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -32. What is the smallest value in b, 3, -0.1, 1\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.5 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 382289663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10707520453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 235024 and 1924?\nAnswer: 3055312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 4*q - 81 = -89, 2*h + 4*q = -4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1\/914, -11, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -477*f**2 - 3669*f wrt f.\nAnswer: -954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22201111203 (base 4) in base 8?\nAnswer: -12412543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-21)\/(s**(3\/17)*s) assuming s is positive.\nAnswer: s**(-377\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(17)*-2 + (sqrt(17) - (0 + sqrt(153)))) - (2 + 1*sqrt(153)*-4*1))**2.\nAnswer: -48*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*y**2 - 27*y**2 + 33*y - 23*y**2 + 90*y**2.\nAnswer: 10*y**2 + 33*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (0 + 0 + sqrt(425) - sqrt(425)) + sqrt(425) - (2 + sqrt(425) + 0 + 5))*-2)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 + 23.6. Let q = j + -27. Which is the third smallest value? (a) -4 (b) -0.3 (c) -0.2 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*k + 26. Suppose -z = -5*y + k, z + z + 2 = 0. Suppose 3*m - 501 = 3*g - 5*g, -2*g + 509 = -y*m. What is the greatest common factor of 28 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133 and 12635?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 32*o**2 + 96*o + 317. What is h(35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*a, 7*p - 3*p - 3*a - 178 = 0. Let w = -19 + p. Let t = w - 15. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/2*(-4)\/6. Suppose -3*o - i = -8*o. Factor u**4 + 0*u + 5*u**o - 6*u**2 - 2*u + 2*u**3.\nAnswer: 2*u*(u - 1)*(u + 1)*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41978 and 1510.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2 - 5*c + 5. Let b(z) = -4*z + 3*z**2 + 5*z - 1 - 4*z**2. Let v(w) = 5*b(w) + t(w). Let k(d) = 3*d**2 + 1 - 1. Calculate v(k(l)).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 0.5, 2\/11, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 599, -2879, -10439, -22081, -37805?\n\"Answer: -2041*c**2 + 2645*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 8*i**2 + 547*i - 4. Let z(o) = 5*o**2 + 272*o - 2. Calculate 3*p(u) - 5*z(u).\nAnswer: -u**2 + 281*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4636 and 1039196.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45189 is divided by 8461.\nAnswer: 2884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p - 1. Let x(w) = -1. Let z(j) = -b(j) + 3*x(j). Suppose 0*k - k = -7. What is the remainder when z(7) is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 5*g - 2. Let o = 2 - -1. Let r be q(o). Solve -l - r*n + 11 + 14 = 0, 30 = 5*l + n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f. Let k(w) = -w**3 + 6*w**2 - 6*w - 6. Let c(y) = -k(y) + 4*m(y). Let z be c(6). Let n = z + -13. Solve -16 = l - 4*i, 7*l - 3*l = -n*i + 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 385129 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 20791297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13820293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = -4*q - 3*b - 2145, 2*b - 8 = 0. Let y = q - -491. Solve 2*p + 1 = -y*g + g, 0 = -3*g - 9 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52.88210488+5\nAnswer: 57.88210488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**5 - 14022*c**4 - 16342539*c**3 + 98659080*c**2 + 114987600*c = 0. Calculate c.\nAnswer: -2340, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1540\/(-462)*(-10543 - -1)\/(-2). What are the prime factors of (1 + 1)*d\/(-35)?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 3*b. Let o = 256 + -4863\/19. Let c = -14\/95 - o. Put c, b, 2\/5 in increasing order.\nAnswer: c, b, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (34 - 25)*((0 - 2)\/1 + 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -336042*i*o**4 - 21*i*o**3 - 2868227*i*o**2 + i - 14*o**4 - 19 wrt o.\nAnswer: -8065008*i*o - 126*i - 336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1343, 1323, 1303?\n\"Answer: -20*k + 1363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110000100111 + -111001111?\nAnswer: -100110111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 1:36 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d**2 - 14*d - 4*d**2 + 7*d**2 - 9. Suppose -4*l + 1092 = -27*l - 61*l. Determine y(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -110*k - 18. Let r(i) = -37*i - 6. Let a(x) = -17*r(x) + 6*y(x). Let g be a(-1). Solve -g = 5*m, 0 = v + 3*m - 4*m - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 97?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/10)\/(180\/25). Let f = g - -11\/72. Which is the fourth biggest value? (a) 0 (b) f (c) -0.2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1592309193.\nAnswer: 3, 19, 47, 594367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 - 66.9. Let j = 376.1001 + -374. Let n = j - t. Round n to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 1. Let h = -47 - -51. What is the remainder when -22*(2\/4)\/m is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -10)*-5*1. Let h be 28 - (-8 - a\/6). Solve h = 4*q + 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*4)\/(1 + -9 + 12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + m - 18. Let u be s(9). Suppose 0 = 2*f - 3*n - 38, -5*f - n - 24 = -u. Let y(b) = b**3 - 25*b**2 + b - 30. Calculate y(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 3*p - 2. Let r(v) = -4*v**2 - 47*v - 49. Calculate the remainder when r(-9) is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20 - 3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2184)\/(-112)*18\/(-27)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 25 = 5. Let b(s) be the third derivative of s**4\/12 + 11*s**3\/3 + 3*s**2 - 1. Let t be b(j). What is the highest common factor of 3 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90288708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogog when four letters picked without replacement from {o: 12, g: 3, f: 1}.\nAnswer: 33\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 81903, 79848, 76421, 71622, 65451?\n\"Answer: -686*x**2 + 3*x + 82586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 25 + 39 = 0. Suppose 10 = -j - 2. Let s be 2*(0 + j\/h). Which is the third biggest value? (a) -8 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23188\/(-4743)*20\/55\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v = -65 + 104 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**3 - 2*s**2 + 2*s. Let c be g(-3). Suppose m - c + 50 = 0. Solve 2 = 5*u + m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 15*j**2. Let w(t) be the first derivative of -1\/3*t**3 + 0*t**2 - 17 + 0*t. Give w(z(f)).\nAnswer: -225*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - n - 1. Let l(r) be the second derivative of 5*r**4\/6 + 6*r - 5. Calculate l(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 67 - 43 - 59 = 0 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 8 + 8. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -1 - 3 - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2. Let s(m) = 7*m**2. Let i(u) = -22*u**2. Suppose -4*h + 6 = -h. Let j(p) = h*i(p) + 7*s(p). Determine j(o(n)).\nAnswer: 20*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 w when four letters picked without replacement from wyyyyywyy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-5 - 4 - 3 - -41) + 17 + -13?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -12 - -17 - 12 - 19.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51354793 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34\/3, 5, 0, -6\/19, -3\/2.\nAnswer: -34\/3, -3\/2, -6\/19, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**14\/c*c*c\/(c**(-10)\/c)*c*c)**46 assuming c is positive.\nAnswer: c**1288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -398.3538 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/12 + ((-2)\/3 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 8. Suppose -2*r + a + 17 + 30 = k, -5*r - a + 114 = 0. Suppose s = 0, -4*s + r - 4 = w. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3*f - 8. Suppose 21*a = -6*a + 108. What is the third derivative of 4*y**f + 3*y**4 + 5*y**4 + a*y**2 wrt y?\nAnswer: 288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = b - 5*b - 10 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + (-8)\/(-2))*0. Let x be (0 - l)\/(0 - 2). Which is greater: -3\/35 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2254481*f + 18182552 wrt f?\nAnswer: -2254481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2484 and 2484?\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25331.\nAnswer: 73, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -44*u - 8 - 2 + u**3 + 53*u - 5*u**2. Let m be w(3). What is the third smallest value in m, -3\/7, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 46844109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 521\/9378*(-2)\/4.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000225136 rounded to six decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 538.1045 nanograms to milligrams.\nAnswer: 0.0005381045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 253*c + 490 - 30 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 234996*f*r - 378586*r wrt f.\nAnswer: 234996*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95*n**4 - 24612*n**3 - 614*n**2 + 83*n - 16 wrt n.\nAnswer: -2280*n - 147672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(140) - ((sqrt(140) + sqrt(140) + sqrt(140)*1)*-1 - sqrt(140)))\/(sqrt(100)*2))\/(-2*(sqrt(847) + 1*sqrt(847))*4))**2.\nAnswer: 5\/123904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.62 + -0.52. What is the closest to x in -2\/3, -1\/2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-140) + 25\/(-42)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v - 2303 - 1853 + 1140 = 0. Solve 2*p + v = 92 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -911, -41, 6 in descending order.\nAnswer: 6, -41, -911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 3*k - 40 = c, -7 = -4*c - k + 18 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(234)\/sqrt(6))\/sqrt(3) + -4 - -4*sqrt(52)*-5)*5.\nAnswer: -195*sqrt(13) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**5\/20 + 7*p**4\/12 + 2*p**3 + 5*p**2\/2 - 3*p + 86. Calculate k(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 b when two letters picked without replacement from {b: 2, r: 5, l: 6, o: 2, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 68 = 9*z + 108, 5*z + m = -19 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1476)\/(-10))\/(192\/80 - 2). Is p greater than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 5*z - 4, 3 = 31*z - 26*z + 3*h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.049, -1\/8, -1, 2\/7 in ascending order.\nAnswer: -1, -1\/8, 0.049, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**(-2\/31)\/u)))\/((u*u**(-4\/11)*u*u)\/u))\/(u*u\/(u\/(u*(u\/u**(2\/9))\/u*u))*u**(-4)) assuming u is positive.\nAnswer: u**(-4538\/3069)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3*k**2 + 5*h**3*t**2 + 167*h**2*k**3*t - 39695*h*k**3*t**2 + 4*t wrt t?\nAnswer: 10*h**3 - 79390*h*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2525992.05 take away -10.72?\nAnswer: 2526002.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236 - 3*t**2 + 236.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.12411339982 and -0.04.\nAnswer: -3.16411339982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 1512420?\nAnswer: 1512413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 1926.\nAnswer: 9630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, -1, 4, -3 in decreasing order.\nAnswer: 113, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 14. Suppose 4*z + 344 = -v + 2*v, 0 = v + i*z - 362. Suppose v = 2*m - 2*d + 3*d, 0 = 4*d. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -387*u. Let g(c) = 15*c**2. Calculate g(f(n)).\nAnswer: 2246535*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*r**4*x + 356207*r**2*x**3 - 110*x**3 - 22*x**2 - 3*x wrt r?\nAnswer: 8*r**3*x + 712414*r*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-6)\/(12\/10). What is z in -20*z**3 + 3*z**5 + 2*z**3 + 9 - 36*z**4 + 33*z**l + 15*z - 6*z**2 = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89664 = 4*i + 3*i - 62964. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*x**3*y**2 + 3*x**3*y + 266*x**3 + 7*x**2*y**2 - x**2*y - 112*y**2 + 16 wrt y?\nAnswer: -30*x**3 + 14*x**2 - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62)\/(-2)*(9*9\/(-81))\/(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -8.4. What is the nearest to -3 in 0.2, -1\/6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2 = 5*k, -5*q + k + 3775 = -2*k + 3763 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 5*s + 7. Let j be f(-4). Solve -z = j*z - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/5)*l\/l**(2\/11))\/(l\/(l*l*l**(-1)*l*l))**50 assuming l is positive.\nAnswer: l**(5534\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, -29, -59, -95, -137, -185?\n\"Answer: -3*y**2 - 15*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123150 and 486853?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = o + 4*g, -10*o + 5*o + 130 = 2*g. What is the remainder when 283 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6032 + -2837?\nAnswer: 33b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -5*k**2\/2 + 37*k + 17. What is the derivative of s(n) wrt n?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 1199*b - 1198*b = 16, 0 = -p + 4*b - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 124*v**3 + 125*v**5 - 113 - 19*v - 81*v + 400*v**4 - 170*v**2 + 153 + 121*v**3 = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**2 - 3*z - 3. Let k be 4 + (-15)\/12 + (-3)\/(-12). Let i(r) = 3*r**2 + 4*r + 3. Let m(x) = k*i(x) + 4*w(x). What is the derivative of m(t) wrt t?\nAnswer: -14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*h + 6, -2*h + 10 = -14*x - 38. Do -26\/9 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 985085730 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**2 + 144*y + 3819 = 0.\nAnswer: -19, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 + 1)\/((27\/(-648))\/((-2)\/16)). Solve -5*a - k = -4*m, 4*a + 5 + 13 = 2*m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192563691.\nAnswer: 3, 709, 90533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2374765.\nAnswer: 1\/474953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 9 = 2*x, -3*a - 6*x = -3*x - 9. What is the fourth smallest value in a, -0.09, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13144 (base 6) in base 4?\nAnswer: 133120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4530*h - 4517*h + 124*h**2 + 78*h**2 - 200*h**2.\nAnswer: 2*h**2 + 13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1000659 + 185226 = 181*v + 184*v. Does 57 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccvcvvvvvv. What is prob of picking 2 v and 2 c?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 13) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2391)\/2 - 18\/(-12). Let y = -709 - u. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 225 = -0*r. Let c(d) = -84*d + 42*d + r*d. Let i(g) = -3*g + 7*g - 3*g. Give c(i(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 489*b**8\/7 - 329*b**4\/12 - 5*b**2\/2 - 129*b + 5. What is the third derivative of k(c) wrt c?\nAnswer: 469440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.034732 rounded to two decimal places?\nAnswer: 22.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1078*s + 3888*s - 130400 + 43290 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zinmzmmnzpznmnpnzmm?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-27) - 1042\/9. Let b = 116 + o. Let u(s) = -7 - 1 + s - 1. Determine u(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -5339063\nAnswer: 4\/5339063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 680615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -34. Let o be h\/(4 - 7) - -3. Calculate the greatest common factor of 12 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49258 is divided by 125?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 977 in 0.1, -0.5, -3.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -330034 + 524061. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snn when three letters picked without replacement from {n: 10, v: 1, s: 8}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 40114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 573.00693 + -573. What is n rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3815096.\nAnswer: 2, 476887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 + 54.000563. Round q to five dps.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 657664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2064 = 3*t, -t - 4*p = 4*t - 3476. Let y = t + -52. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, y: 11}. What is prob of picking 1 x and 2 y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/7)\/o*o*(o**(-3\/10)*o)\/o*o*((o\/(o*o\/((o\/o**(-9))\/o))*o)\/o)\/((o**7*o)\/o) assuming o is positive.\nAnswer: o**(139\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -23297.\nAnswer: -24\/23297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37 - 37 - 5*d**4 + (4*d + 3*d - 5*d)*(3*d**3 - 4*d**3 + 0*d**3).\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-46)\/6 + 1\/(-3). Let v = -25 - -18. Let z = f - v. Let q(l) = -l + 1. What is q(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/45 and 47\/126?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*d + 8 = 0, -3 = -4*d + 9. Let h = 14 - m. What is the least common multiple of (-1 - 9\/2)*-4 and h?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -95, -102, -69, 16?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -612813 (base 9) to base 3\nAnswer: -200102220110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 18 = 2*c, c = -c + 6. Let l(h) = 8*h - 3. Let t be l(-3). Let o = t + 46. Solve -2*g + 5*b + 10 = -7, k*g - 5*b - o = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(77) - sqrt(77)*2) - 2*-1*sqrt(77))\/((sqrt(1584)*2 - sqrt(1584))*-5).\nAnswer: sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 0. Let m = f + -2.3. Let d = m + 1.3. Which is smaller: d or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 - 5*n + 1. Let q(v) = -v**2. Determine -d(r) - q(r).\nAnswer: -2*r**2 + 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6*r = 30. Let g(d) = d**3 + 8*d**2 + 12*d + 4. Calculate the smallest common multiple of r and g(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is bcb8c4 (base 15) in base 11?\nAnswer: 50976a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27068 (base 9) in base 11?\nAnswer: -12815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mumm when four letters picked without replacement from mwmwmwmksutwkmtmu?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*d**3*p + 2*d**3 - 7*d**2*p + 5*d*p - d - 36*p wrt d.\nAnswer: -54*d*p + 12*d - 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -59010 divided by 5901?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1058 and 434246049?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 16*j**2 + j + 15. What is h(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35655\/12212 + 126\/43. Let c be -6 + 3 - 5890\/(-284). Let m = c + t. Calculate the common denominator of -3\/14 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 9*y = 3. Let c = y + 46. Let x = 78 - 62. What is the remainder when c is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3246, -1\/2, -14.2, -1\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -28.3 + 15.7. Let j = z + 11.8. Which is the third smallest value? (a) j (b) 5 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 8:13 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/39072 and 133\/264?\nAnswer: 39072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 467*z - 934*z + 16 + 468*z. Suppose -24 = 4*s + 4. Let i(g) = -g + 11. Let m(b) = 5*b - 44. Let c(v) = 9*i(v) + 2*m(v). What is s*c(p) + 5*o(p)?\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2827 - -2719 - (-3 - (4 - 8))?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 328 by -247751.\nAnswer: -328\/247751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Suppose -5*k + 84 = -r*k. Let x = -25 - -135. What is the remainder when x is divided by k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, -0.2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 157, 366, 659, 1036?\nAnswer: 1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/((-6)\/(-2)))\/2. Let m(o) = o + 2. Let j be m(h). Suppose 4*y + 118 = j*i + 3*i, -2*y - 124 = -5*i. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 75, 175, 275, 375, 475?\n\"Answer: 100*g - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 s when three letters picked without replacement from iisiiiiiisii.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1387769 from 0.07.\nAnswer: -1387768.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 13 - 3, 3*y = 3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*r**5 - 9*r**4 - 78*r**2 wrt r?\nAnswer: -600*r**2 - 216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 29 + 116 = c, 0 = -3*c + 3. What is the greatest common divisor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1106, 2200, 3280, 4340, 5374, 6376?\n\"Answer: -n**3 - n**2 + 1104*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.84926 + -0.02774. Let k = a + 0.077. Let m = 7.78 + k. Put -4, m, 0 in descending order.\nAnswer: 0, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3250607129 and 9251?\nAnswer: 9251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-66)\/15)*1\/(-5)*16)\/2?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5*q = 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1070300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -74 times 0.03\nAnswer: -2.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 689 + 1033. Let l = 252 + n. Solve -l = -3*p + p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 38 - 12)*((-2 - 1 + 1)*(3*p - 3*p - p) + 2 + 3*p - 2).\nAnswer: 175*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k*l**3*o**2 + 1010805*k*l**3 - 270*k*l**2*o**2 - 6*k*l*o**2 - 3*k*l*o - 10*k + 4*l**3*o**2 wrt l?\nAnswer: 6*k*o**2 + 6064830*k + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b + 10. Let w(m) = 4*m - 11. What is -3*l(a) - 2*w(a)?\nAnswer: 4*a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c712e (base 16) in base 13?\nAnswer: -7ac90c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*i - 2278 = -766 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(495\/(-40)) + 1204\/(-387)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/2 + 500433*x\/2.\nAnswer: -3*x*(x - 166811)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18449, 36904, 55367, 73838, 92317, 110804?\nAnswer: 129299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -21, -3\/5, -24\/53 in descending order.\nAnswer: 3\/5, -24\/53, -3\/5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.78 times 15.2?\nAnswer: 2899.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 390*y - 79. Let p be o(-5). What are the prime factors of (-23 - p)\/(5\/((-15)\/(-6)))?\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**2 - 4075*n + 693630. Let v(m) = 3*m**2 + 2037*m - 346818. Let a(g) = -3*t(g) - 5*v(g). What is i in a(i) = 0?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4364237929?\nAnswer: 271, 16104199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.96 - -0.04. Let d = 6 - m. Which is the closest to 0.1? (a) d (b) -7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7629ml?\nAnswer: 0.0007629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 11*t**2 - 4*t + 27. Let n be s(11). Let a = 5 + n. Is 27 a factor of 9\/(a\/180*5\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from vooooovoooooovvvvo.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-322)\/2093)\/(28\/(-104)*286\/13).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23738850 to the power of 1\/3, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h**2 + 101*h - 20. Let c be j(13). What is the greatest common factor of 1375 and c?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h\/h**(-2)*h*h)))\/h**(-2)*h**3\/(h*((((h*h\/h**(5\/4))\/h)\/h)\/h)\/h))\/(h**(2\/13)*h*h**(2\/3)*((h\/(h**(-2\/9)\/h))\/h)**(-1\/8)) assuming h is positive.\nAnswer: h**(10841\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/93?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*b + 5 - 30, -5*z - 16 = -b. Suppose -u + 2*u - b = 0. Let h(s) = 3*s**3 - 28*s**2 + 15*s - 12. Is h(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58.5 + 58. Which is the nearest to 0.1? (a) 2\/11 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3996 and -1?\nAnswer: 3996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1161.854566 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**3\/3 - 1. Let o(h) be the second derivative of 3*h**4\/4 + 9*h. Calculate i(o(p)).\nAnswer: 81*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 74*b**2 + 12*b**2 + 27*b**2 - b**4 to g*b**2 + x*b**4 + w + v*b + f*b**3 and give g.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1910499161 a multiple of 5300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q**2 - 40*q + 175. Let v(k) = 5*k**2 + 40*k - 212. Let b(o) = -6*g(o) - 5*v(o). Give b(39).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*c + 7 - 7*c + 3*c to b + y*c and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*42*(-32)\/(-7168)*2\/1*12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/16)\/((28\/8)\/7). Let h be 27\/42 - (-2)\/(-4). Let b = -4716 + 4715. Sort h, b, v in decreasing order.\nAnswer: h, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/33299 and -41\/71355?\nAnswer: 499485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 29*o**2 - 7. Let w(j) = -43*j**2 + 10. Determine -7*f(n) - 5*w(n).\nAnswer: 12*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20230)\/2380)\/((-34)\/244).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 236. What is v(29)?\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296514 and 80342?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4070 + -3730. Let q(u) = 68*u**2 + 2*u - 1. Calculate the remainder when i is divided by q(1).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1022*w**3 - 2052*w**3 + 1030*w**3 + 671 + 1604*w**4 wrt w.\nAnswer: 6416*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011001011111111 (base 2) in base 3?\nAnswer: -22222122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(7\/(-4)) + 9. Let x = 1 + d. Calculate the highest common factor of x and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -38. Suppose -2*j + k = 5. Solve 6 = j*b, 7 = -5*w - b - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/602 and 23\/53508.\nAnswer: 2300844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208692956 and 16.\nAnswer: 834771824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -11*r**2 - 257*r - 7. Determine h(-25).\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.93 + -2.9. Sort -4, v, -5.\nAnswer: -5, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 25895640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 1210543137?\nAnswer: 1210543137.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 2 - 2)*(-2 + 4 + 1) + (-1 + 0 + 0)*(-s + s - s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 21 = f - 8, -2*f - 42 = -4*h. Factor 4*g + h + 1\/2*g**2.\nAnswer: (g + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1838775*n**2 + 1957401?\nAnswer: 3677550*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373024 greater than or equal to 1373024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -3. Let z = l + 7. Suppose 2 = -f, 4*f = -6002*r + 6003*r - 14. Solve 0 = -z*j + 10 + r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -0.2 (b) 1 (c) -1\/526 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41916127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 12, k: 3}. Give prob of sequence ky.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 1, 15, 3 in ascending order.\nAnswer: -6, -4, 1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25404?\nAnswer: 2, 3, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -194*s - 21. List the prime factors of g(-9).\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8937, -18299, -27661?\nAnswer: -37023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -24.5 (b) -0.16 (c) 0.2 (d) 4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 27, 49, 87, 147?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2. Let m(t) = 12*t + 8. What is m(f(a))?\nAnswer: -12*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/10 + 19\/20. Which is the closest to g? (a) 1 (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from pyy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -613283*d**3*i*r**4 + d**3*i*r**2 - 25859*d**3*i*r + d**3*r**2 - 442*d**2*i + 23*d*i*r**4 wrt r.\nAnswer: -14718792*d**3*i*r + 552*d*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3210*t = 8333*t - 522546 for t.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. What is the first derivative of 3 - 2*n**2 + 4*n**z + 0*n**2 wrt n?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10*m**2 - 6*m - 6. Let h(v) be the third derivative of -v**5\/60 + v**4\/24 + v**3\/6 - 28*v**2. Calculate 6*h(c) + n(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 62 = 86. Suppose 6 = -5*h - 3*d + 1, -4*d - 5 = 5*h. What is the units digit of (r - 1)*(h - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2. Let r(p) = -4*p - 250 + 250. What is r(c(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -851\nAnswer: -13\/851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 159023160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42b + -3b72?\nAnswer: -43a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7192 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14749 (base 14) in base 3?\nAnswer: 2120201120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -354*o + 22. Let q be m(-6). Suppose -3*l + q - 43 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d**3 - 928*d**2 + 3592*d - 3552 = 0.\nAnswer: 2, 444\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ueue when four letters picked without replacement from ueuuueu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6106680 divided by -33926.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 958048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -15*z**3 - 18*z**2 + 51*z - 86. Let k(n) = 7*n**3 + 8*n**2 - 25*n + 41. What is -9*k(c) - 4*m(c)?\nAnswer: -3*c**3 + 21*c - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -21192 divided by -6?\nAnswer: 3532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**30)**(-2\/13)*s**(5\/9)*s**(-21) assuming s is positive.\nAnswer: s**(-2932\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-8\/7))**(-19\/5)\/((l\/(l\/l**28)*l)\/(l\/((l**(-13)*l)\/l))) assuming l is positive.\nAnswer: l**(-506\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 g when three letters picked without replacement from {l: 2, g: 7, u: 11}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*(sqrt(228) - (sqrt(228) + (sqrt(228)*2 - sqrt(228))))*6)\/((sqrt(108) + 6*(sqrt(108) + 2*sqrt(108)) + sqrt(108))\/(3*sqrt(36)\/sqrt(4))).\nAnswer: -54*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c. Suppose 0 = 3*l - c*l - 6. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 5:09 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -107*i**3\/3 + 29207*i**2\/3 - 1016692*i\/3 - 38048\/3 = 0. Calculate i.\nAnswer: -4\/107, 41, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -1. Suppose d*h - 8 = w, -5*h + h + 10 = -w. Solve h*m - 6*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*q - 20 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66046167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = h - 1, -2*p = -p + 5. Is (-9152)\/(-36) - (-2)\/h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h + 64 = 0. Suppose 3*m + 0*m - 2*g - 405 = 0, 0 = 4*g. Calculate the remainder when (5 - m\/20)\/(2\/(-72)) is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -23. Let y = b - 10. Let k = 52 + y. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 251 = -p, p = -5*d - 67 + 316. What is the greatest common factor of 30 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 269158 - -104842. Round a to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19933539 a multiple of 381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ttmcmtttccttttmm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 46*t**3 + 872*t**2 + 1013*t + 142. Calculate n(-1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91\/8 + 42\/16 + -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8\/21 + 2\/7. Which is the second smallest value? (a) h (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i - 48. Let x(z) = -6*z - 24. Calculate the smallest common multiple of i and x(-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 7 = -8. Suppose 0*n - 5*n + r = -91, 0 = a*n - 4*r - 79. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.8709092 micrometers?\nAnswer: 0.0000000008709092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 341088 divided by 113696\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 943821?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 13620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11348749 minus 8.5?\nAnswer: -11348757.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**2 - 310*w + 1296. Let o be s(4). Let l(q) = -q**3 - 10*q**2 - 22*q - 22. Determine l(o).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 6. Suppose -y*g + 14 + 26 = -5*f, -5*g + 16 = f. What are the prime factors of 22\/8 + 1\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-13 + 1 + (-81 - -101)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 8:41 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/17)*x)\/(x\/(x\/(x*x\/x**20*x*x))) assuming x is positive.\nAnswer: x**(287\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/49*(-35)\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790729 is divided by 545.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o - 42*o + 14476 = 4*n, -14516 = -4*o + 4*n. What is the greatest common divisor of 48 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101301130332 (base 4) in base 11?\nAnswer: 26a2420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2208\/3619 - 20\/517. Put 3, -8\/13, g, -2\/11, 3\/7 in descending order.\nAnswer: 3, g, 3\/7, -2\/11, -8\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -x + 39 - 8. What is the remainder when 63 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1, 2\/3553, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2) + (-3 - 2) - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -468 - -473. Solve -12 = -4*o, h - 2*o = m*h + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 8 - 11) + (-20 - (2 + -10))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from cbbbbcbbbbcbccccbbb?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -35*f**2 + 11670*f - 39637. Calculate d(330).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(-37)\/(m**(-1\/2)*m*m)**(-13) assuming m is positive.\nAnswer: m**(113\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75817967?\nAnswer: 139, 233, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t + 6. Let w be f(7). What is the highest common divisor of w and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/6 - 2\/6. Let o = 2 - s. Let h(b) = -b**2. Let d(w) = w - 15. Let l be d(13). Let i(p) = -p**3 - 4*p**2 + 2*p. Calculate l*h(r) + o*i(r).\nAnswer: -r**3 - 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-26 - (-13 - 33))) + 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 103644506.6 to the nearest one thousand.\nAnswer: 103645000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/(-3)*(3 + 17\/(-5)). Suppose 8 = -5*l + 4*g, -d*l + 3*g = -g + 8. Calculate the least common multiple of 10 and (-3 - -4 - l\/2) + 6.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/(-186)*6*(-6)\/8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 315 - 321. Let r be ((-42)\/22 + 2)*90\/q. Suppose -w + 5*w = 0. Is r bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*q**2 + 138*q**2 - 192*q**2 + 524*q**2 + 610*q**2.\nAnswer: 885*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 8:48 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilometer in meters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f - 11*f + f**3 + 0 + 9*f - 2 to g*f**3 + o + m*f + c*f**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1542598 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 13*d + 6. Let v be (-900)\/132 + (-2)\/11. Let z be b(v). Calculate the highest common factor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*a**2 + 2*a**5 + 37*a**2 + 233*a**2 - 2*a**5 + 6*a**3 - 6*a**5 wrt a?\nAnswer: -360*a**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 484 times -72\nAnswer: -34848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2 = 0, h - s - s + 2 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4*o + o = -11, -1 = -r - o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2625 divided by 75\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10296 = s + 4*k - 3178, -3*s - 4*k + 40414 = 0. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**2 - 10*s + 7. Let k(n) be the third derivative of n**5\/12 + n**4\/2 - 3*n**3\/2 - 2*n**2 + 27*n. Let l(a) = 5*k(a) + 6*w(a). What is l(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29056 + 29059. Let a = 2\/33 - 80\/231. What is the second biggest value in z, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 228 + -137. Let w = t + -44. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 766 + -367. List the prime factors of d.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1680\/147 + -10 - 1*2.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + y = -4*y + 18, 2*y - 10 = -4*w. Suppose -3*l + 2*o = l - 6, w = -l - 2*o. Let f = 3 + -2. Is f at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 2*z + 1. Let c(q) = -4*q**3 - 3*q**2 - 4*q + 18. Let u(s) = c(s) - 3*t(s). Find the second derivative of u(r) wrt r.\nAnswer: -42*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120101 to the power of 1\/2, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 151 = l, -2*i - l = -2*l - 66. Suppose -25 = -3*o - b, -4*o = -b - i - 0. Let f be -3*((-3)\/1 - -1). Sort 1, f, o in increasing order.\nAnswer: 1, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1345*q = -1337*q - 40 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k = 7 - 7 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/(f\/((f*f**(7\/2)*f)\/f)))\/f*f*f*f*f**(-24))\/(f**11\/(f*f**(4\/3))))**(-2\/9) assuming f is positive.\nAnswer: f**(151\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 4 (c) -2\/157 (d) 0.2 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3914, 247, 14 in ascending order.\nAnswer: 14, 247, 3914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1003, 960, 919, 880, 843, 808?\n\"Answer: s**2 - 46*s + 1048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 425 by 5.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 68669890 rounded to the nearest 1000000?\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30719*v - 63764*v - 70046*v - 918*v.\nAnswer: -104009*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.046, 4, 6, 3, -12157?\nAnswer: -12157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 543854 (base 9) in base 6?\nAnswer: 10541421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 2 + (-568 + 576 - (1 - -7)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 38*b**2 - 69*b + 110. Let k be f(-36). Solve g - 4*q - 13 = 0, k*g - 2*q - 6 = -4*q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -14.5, -0.3, 4\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/9*((-660)\/(-32))\/((-108)\/216)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l - 6. Let h be ((8 - 9)*3)\/1. Give f(h).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 52, 25, -40, -161, -356, -643?\n\"Answer: -3*x**3 - x**2 - 3*x + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 222*p + 223*p - 4 = 0, -2*i - 2*p + 8 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**7*k*k*k**(-2\/35)\/k)**(2\/19)*(k**2*k**(2\/19))\/((k\/(((k**(-2\/5)\/k)\/k)\/k))\/(k\/(k*k\/k**(1\/2)))) assuming k is positive.\nAnswer: k**(-885\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7318352610325 minus 20?\nAnswer: -7318352610345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.593 - 7.893. Which is the closest to -0.1? (a) 0 (b) 14 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 + 57*l**4 - 5 + 188*l**4 - 29*l**2 + 35*l**2 wrt l?\nAnswer: 5880*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = n - 10, -2*o + 5*o - 3*n = 18. Suppose -o = l - 3*x - 25, 2*l + x + 1 = 0. Suppose 7 = l*f - f. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 56d86?\nAnswer: 56d85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44 + 44 - 24*n**3)*(-2 + 1 + 2)*(12 + 5*n - 12) in the form j*n + o + u*n**2 + d*n**4 + i*n**3 and give d.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/20)\/((-1)\/10). Solve o*u = -0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 38 - 42 + 2*y + 4 + 0. Let z(j) = -18*j - 3. Let b(h) = 17*h + 4. Let i(v) = 3*b(v) + 4*z(v). What is i(r(m))?\nAnswer: -42*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16172307 divided by -1796923?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 - -103488498.\nAnswer: 103488526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 5, 1 in decreasing order.\nAnswer: 5, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6, 1\/2, 149\/15, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3 + (-11)\/(-21))\/((-1822)\/(-6377))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.254 - -0.154. Let c = s + 8.2. Let m(j) = 4*j. Let q be m(-3). Which is smaller: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1102506 divided by -106.\nAnswer: -10401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -10, 0.3, -0.2, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 - 10*j - 17. Let m = 6 + -13. Let q = -6323\/7 - -899. Calculate the common denominator of q and h(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7.7 or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*h + h - 51*h - 31*h in the form c*h + s and give c.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/(-13))\/(-2) - (-4012)\/52 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mttbuku. Give prob of sequence mb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 31 = 5*u, -5*o - 2*u + 19 = -2*o. Calculate the remainder when o is divided by (-12)\/(-9)*(-15)\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -87\nAnswer: -14\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 49, 642, 2, -1, -4, 3 in increasing order.\nAnswer: -4, -1, 1, 2, 3, 49, 642","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: 27 + (22 - 23 - -8) + 0 + -5\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78562 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.5 plus -0.0697382272?\nAnswer: 131.4302617728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -8179, 6 in ascending order.\nAnswer: -8179, -43, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 88177 divided by 467\nAnswer: 88177\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from {a: 6, l: 12}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -10. Let t = 12 + -4. Let h = -8.2 + t. What is the smallest value in 1, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y. Let w(l) = l + 1. Let q(n) = -9*n + 6. Let b(i) = -q(i) + 6*w(i). Give f(b(v)).\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*-2*5\/(-20)*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (15 - (62 + (11 - (7 - 5)))).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 9:23 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -8) + -9 + (10 - 1) + 6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 29*c**3 - c**2 + 4*c + 3. Calculate i(-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-16) - 230\/(-8). Let n = r + -21. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 303?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -13796*r - 993. Determine v(0).\nAnswer: -993","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 285851 to the power of 1\/2, to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 59. Calculate m(-14).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by -42?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**5\/120 + 37*v**4\/48 - 19*v**3\/6 + 201*v**2. Suppose i(z) = 0. Calculate z.\nAnswer: -38, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 60*h**2 + 228*h + 128. Determine p(-56).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -13 + -2 + 0\/(-3). Let p = 3 - i. What is the remainder when p is divided by 30\/8*16\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*h - 282, -5*a + 2*h + 298 = -0*a. Suppose -14 = -r + 15. Calculate the greatest common factor of r and a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*w + 8*w + 48 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/27 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*c**3*k**2*p**2 + c**3*k**2*p - 2*c**3*k**2 - 2*c**3*p + c**3 - 5414173*c*k**2*p**2 - 2*c + 7*k**2*p - 500*k wrt p?\nAnswer: 20*c**3*k**2 - 10828346*c*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvbttbvtttbttblallt. What is prob of picking 1 b, 1 l, and 1 a?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1059 (base 10) to base 9.\nAnswer: -1406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 116*l**3 + 64*l**2?\nAnswer: 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9846211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3772319601?\nAnswer: 3, 17, 1307, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w - 14 = 28*w. Suppose a = 2*a + w. Is (2\/6 - 0)\/(a\/(-2751)) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**5\/20 - 2*b**4\/3 - 7*b**3\/6 + 3*b**2\/2 + 2*b. Let n be z(-7). What is the greatest common divisor of 9 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.48 - 8.05. Let u = w - -0.67. Let d = u - -0.9. What is the second smallest value in d, 2\/11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**4 + 1890*i**3 - 21820*i**2 - 51240*i = 0. Calculate i.\nAnswer: -2, 0, 14, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 10. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2 - 15*n - 1. Let j = -4816 + 4824. What is k(j)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (26 + -20 + (1 - -1)) - -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4234.6m?\nAnswer: 423460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. Let h(d) = 80*d - 953. Let y be h(12). Suppose 3*b + y = 4*p, -r*p = b + p - 19. Solve -1 = -2*i + b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 12:42 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 133502 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7765 (base 10) to base 3\nAnswer: -101122121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 881.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 - -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 283*q**2 + 50*q**2 + 539*q**2 - 154*q**2 in the form l*q + b + n*q**2 and give n.\nAnswer: 718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, x: 6}. Give prob of picking 2 t.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 - (7 - 7) - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2299 + 2301. Solve 5*n - l*p = -6*p - 24, 5*n + 2*p = -22 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85709754022 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - a**2 - 8*a + 25. Let o = -82 + 86. Let g be z(o). Let p(n) = -8*n - 4*n**2 - 2 - g*n**3 + 40*n**3 + 12*n**2. Calculate p(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -208366725.215999994 + 208366725. Let s = -0.216 - o. What is s rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 347 + -343. Suppose -c*a - 5*b - 80 = a, -32 = 3*a - 5*b. Let k(x) = -2*x - 31. What is k(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 804291074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-6\/7)\/p)\/p*p)\/(p\/p**(-4)))**(-39)\/(((p*p**1)\/p)**29\/(p*p**(-1\/2))**(-33)) assuming p is positive.\nAnswer: p**(3107\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 11*i**2 - 3*i - 12. Let p be f(-11). Solve 18*k - 12 = p*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 423 + -1?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*l = -29*l - 61*l + 2387 + 493 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -44*s + 2. List the prime factors of a(-1).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -329173498, -329173497, -329173496, -329173495?\n\"Answer: r - 329173499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5511?\nAnswer: 3, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1432510 (base 6) to base 5\nAnswer: 10113031","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (25*t + 67 - 67)*(-1 + 1 + 1) + (2*t + 3 - 3)*(3 + 2 - 4) + 1 - t - 1.\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -79*m + 98. Is y(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*f = 8*z + 36, 5*f = 4*z + 36. Let o be (-4419991 - 4) + -1 + z. Round o to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4665690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*t**4 - 5*t**4 + 15*t**4 - 96*t**2 - 99*t**2 - 271*t**5 wrt t.\nAnswer: -16260*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*h**5 + 106*h**2 + 96*h**2 - 16*h**2 - 15*h**5 wrt h?\nAnswer: -480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 2 - 17)*(4*f + 0*f - 3*f).\nAnswer: -38*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.04, -2\/29 in descending order.\nAnswer: 0.5, -0.04, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 = 9*a + 204 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -8*i. Let c(h) = -8*h. Let x(d) = -39*d + 1. Let t(v) = 6*c(v) - x(v). What is 6*o(u) - 5*t(u)?\nAnswer: -3*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.30193 micrograms to tonnes.\nAnswer: 0.00000000009530193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 less than -514673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1592 + 1640. Calculate the lowest common multiple of k and 44.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-9) + 5\/360?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n - 5*s = -4, -5*n + 3*s + 8 = 0. Suppose 0 = -3*d - 3*b + 57, 3*d + 2*b + 3*b - 47 = 0. Suppose 4*h - d = -n. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -271\/992 - 1\/124. Find the common denominator of (207\/(-84))\/(23\/(2576\/480)) and f.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/684 and 77\/54.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p - 7. Suppose 3*d + 3*c - 16 = 11, -24 = -4*d + 2*c. Give r(d).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -9. Let u be -1 + 0 + (-2)\/w. Let l = 685 + -690. Which is the closest to 0? (a) 4 (b) u (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**3 - 5778328*l**2 - 23113248*l = 0?\nAnswer: -1444578, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - -1*sqrt(143))*6)\/(sqrt(22)\/sqrt(2)*6).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 353158400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2 - 163*d - 492. Calculate z(-50).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2896644 divided by -1213?\nAnswer: -2388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 180 = -5*j. Let c(q) = -q**2 - 31*q. Let k be c(-31). Sort j, 3, k in ascending order.\nAnswer: j, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -520 + 296. Let f = l + 238.3. What is f rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + -2)\/(-2) - (-285 + 2). Suppose 408*x - 403*x - 5*p = 650, 2*p - 260 = -2*x. What is the greatest common divisor of t and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g - 2*g + 65*g - 23*g - 21*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s + 15 = 0. Let m(i) be the first derivative of i**4\/4 + 4*i**3\/3 + 3*i**2\/2 + 668. What is m(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3065477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 335*x - 75959. What is i(226)?\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhlllllhl. Give prob of sequence hh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 79650.\nAnswer: -79646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3258?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s - 9. Let j be h(6). Let q be j*(3 + -1)\/(-4). Let t = -4 - -4.2. What is the third smallest value in t, -5, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14 and 214\/15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54 + 222*r**2 - 12*r**2 + 66 - 126*r**2 - 180 wrt r.\nAnswer: 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by 2\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 826*g + 15695. Let l be t(-19). Let m(u) = -u**3 + 11*u**2 - 13*u + 15. Let d be m(10). Put d, 0, l in decreasing order.\nAnswer: l, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -25*x**2 + 9. Let q(t) = 140 - 13*t**2 + t**2 - 138 + 3*t**2 + 3*t**2. Suppose 8 + 6 = 5*g + v, 0 = g + 3*v - 14. Give g*m(z) - 9*q(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -3*g**5\/5 - 13*g**4\/24 - 1187*g**3\/2 - g**2 - 436. Differentiate v(a) wrt a.\nAnswer: -72*a - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 26 = 5*u + 1, -4*u + 3*f = -20. Let p be (1 + 0)*(20 + -12 + (45 - 3)). Sort u, 0, p, 4.\nAnswer: 0, 4, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 234012*h - 18954966. What is o(81)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 2)*(2*o - 3*o + 3*o) - 1 - o + 1 - o + 4*o - o + 8*o - 2 - 7 + 22 as b*o + h and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1309723151*i**4 - 757350097*i.\nAnswer: -15716677812*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwmwzzuummwiuduuwu. Give prob of picking 3 u and 1 z.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6766, -26652, -59606, -105628?\n\"Answer: -6534*g**2 - 284*g + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 1190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 20\/12 - 467\/3. Let z = 278 + l. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(104) - (sqrt(104) - (sqrt(104) - -4*sqrt(104)*-1 - sqrt(104)) - sqrt(104))))\/(sqrt(72)*-2*4).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, g: 3, d: 6, p: 1, x: 7}. What is prob of sequence xfp?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**4\/5 + 228*h**3\/5 + 447*h**2\/5 + 222*h\/5 = 0.\nAnswer: -74, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 5:37 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 42. Let x be 4 + o + 2 + -1. Suppose x*i - 1462 = v, -4*i + 4856 = v + 1932. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -9 - 7 - 32 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 67 = -o - s, o + 5*s - 47 = 0. Suppose -12*x + 50 = -11*x. Let t = x - o. Calculate the highest common factor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7 = 4. Let h be 2\/(-7) + (-174)\/(-21). Factor 6*k**4 + k**3 - h*k**o + k**3 - 2*k**5 + 2*k**2.\nAnswer: -2*k**2*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2373 or 2378?\nAnswer: 2378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x - 26*x + 65*x - 24*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2443289 and 1273?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1061 or 738?\nAnswer: 738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 2*h**5\/5 + h**2. Let x(v) = v + 3*v + 2*v + 0*v - 4*v. Determine x(b(y)).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b + 63 = 6*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i + 21*i + 30 = 0. Suppose o + i = -2*o. Let k be 2\/5 + 2\/70. Put o, k, 0.3 in increasing order.\nAnswer: o, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1415 and 2416688405.\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(192) - (3*(sqrt(3) + sqrt(12)\/sqrt(484)))**2.\nAnswer: -3525\/121 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 55930760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11024834 not equal to -11024837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 298 + -300. What is the remainder when r\/13 - 2032\/(-26) is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -16*w**3 + 12*w**2 - 2. Let l(g) = -g**3 + g**2 + 1. Let h(o) = o - 5. Let a be h(-7). Let b(v) = a*l(v) + z(v). Differentiate b(n) wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1556*p + 1540*p + 24304. What are the prime factors of p?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265679, 265622, 265519, 265364, 265151, 264874?\nAnswer: 264527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 5*x + 12*z + 23 + 15 = 0, 4*x = -4*z - 36 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128 - -198. Let h be (15\/3)\/(4\/20). Let k = h - 1. Calculate the remainder when g is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -3*f - 15*f + 12*q, -f + 53 = 3*f - 4*q + 73 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -830.797 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68774734 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2335 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 60 = 4*s. Let w be ((36\/s)\/3)\/(1\/5). What is the third derivative of 26*h**3 - 16*h**w + 41*h**3 - 39*h**3 wrt h?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -236 - -1107. Suppose -2*t = 3*v - w, 2*v - 2*t = -6*t + 570. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-7))\/((-5)\/((-210)\/12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4 - 29 + s + 6*s. Let t be h(17). Suppose -2*u = w - 0*w - 42, -3*w = 4*u - t. Calculate the lowest common multiple of u and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6652857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 u when four letters picked without replacement from {y: 4, u: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82088657?\nAnswer: 7, 11726951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 218\/3 <= 72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32, 45, 42, 17, -36, -123?\n\"Answer: -b**3 - 2*b**2 + 26*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 34 + 3526*y - 15 - 11 in the form h + r*y and give r.\nAnswer: 3526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + sqrt(192) + -5 + (sqrt(192) - ((sqrt(192)*1 - sqrt(192) - sqrt(192))**2 + sqrt(192))) + 0 + sqrt(75) + ((sqrt(33) + sqrt(33)*-1)\/sqrt(11))**2.\nAnswer: -189 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -102, -126, -130, -108, -54?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -8*r. Let o(z) = 4916 + 4927 - 9870 - 2*z + 3*z. Calculate o(k(m)).\nAnswer: -8*m - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*c = -88*c + 4*i + 6, -4*c + i - 21 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, i: 3}. Give prob of picking 1 n and 1 i.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1001000100010111 (base 2) to base 5\nAnswer: -2142033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 69940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -5. Let w = 3 - 3. Suppose -2*t - 5*y + 30 = c*t, 2*t - 4*y - 6 = w. Solve -6*g = -t*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3200641568?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -4 (c) -1\/11 (d) 10\/659\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2524 - 2623) + (182 - 1).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -5. Suppose 4*d - 20 = -3*q, n = -3*d + 5*q - 11. List the prime factors of ((-62)\/4)\/(d\/(-4)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187811.\nAnswer: 13, 14447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**9\/840 + 13*m**5\/120 + m**4 + 9*m. Let n(r) be the third derivative of l(r). Find the first derivative of n(p) wrt p.\nAnswer: 72*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3660470850 to the nearest one hundred thousand.\nAnswer: 3660500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -13 - (4 - 27).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -102.096.\nAnswer: -101.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -19749 at most as big as -19764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogwmtto. Give prob of picking 1 g and 1 t.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29328591.\nAnswer: 3, 9776197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {x: 6, g: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-27)\/54 + 3\/2. Calculate the greatest common divisor of 29 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*s + 234 + 366 = -900 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6775 - -6775.8454. Let k = q - 0.83. What is k rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/1431 and -77\/424?\nAnswer: 11448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 24 + 4. Suppose 0 - 4*a**2 + 4*a + x - 4*a**3 + 5 - 6 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine fifths of a century?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 4*c + 3. Let j be k(3). Let d = -11 + j. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66238 + -159537. Let l = -16793753\/180 - v. Calculate the common denominator of -11\/20 and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -530, 0.03, -1, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -706, -2807, -6310, -11215, -17522, -25231, -34342?\nAnswer: -44855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/6 - (-780)\/(-8). Put 3, v, -5 in descending order.\nAnswer: 3, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86 - 54*y + 86)*(3*y - 11*y + 0*y).\nAnswer: 432*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12173 - 323?\nAnswer: -12516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*((b*b\/(b*b**(-2\/5)))\/b)\/b)\/b)\/b*b\/b**3*b**(3\/5)*b**3\/b assuming b is positive.\nAnswer: 1\/b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*i, 1204*d - 1207*d + 1048 = -151*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 4. Let h be b(6). Suppose 2*a = 4*a - 22. Suppose 0 = h*d - a - 19. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l - 25 = 21 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1156 - -5729818.\nAnswer: 5729818.1156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 3*p, 3*p - 8 = -34*c + 35*c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3776, 15665, 35468, 63179, 98792, 142301, 193700?\nAnswer: 252983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -56, 60, 224?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.3 and 0.064165224.\nAnswer: 2.364165224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 0.49223347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*x - 28 = 0, a - x - 5 = 1. Find the first derivative of -34 + 5*k**3 - 2*k**2 + a - 3*k**3 + 13*k**3 wrt k.\nAnswer: 45*k**2 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 - i + 2. What is y(-4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 23*p**2 + 178*p + 220. Give z(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199168358?\nAnswer: 2, 99584179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*q**5 - 38*q**5 - 6*q**5 + (-q**2 + 0*q**2 + 0*q**2)*(2*q**3 + 2*q**3 - 3*q**3).\nAnswer: -77*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**4\/3 - 2*m - 983. Let v(o) be the third derivative of o**5\/15 + 2*o**2. Calculate v(i(j)).\nAnswer: 64*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n + 52. Let r be x(13). Is -5\/13 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 36*g - 386. Let o(f) = 82*f. Determine a(o(i)).\nAnswer: 2952*i - 386","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 8:24 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 21. Let o be 2\/(-3)*z\/6. Let i = -1 + 3. What is the smallest value in i, 2\/5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*t**2 - 534*t**2 - 87*t**2 - 82*t**2 - 87*t**2 + 877*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10356 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/19416 and -13\/1537100.\nAnswer: 9222600","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 193\/(-3) - 3\/(-9). Let s = 38 + d. What is the units digit of (9\/6)\/((-3)\/s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*h + 48*h + 8874. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -569, -2, 816, -44 in descending order.\nAnswer: 816, -2, -44, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -5) + 0 - (-924 - -1). Calculate the highest common factor of t and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.9720836 rounded to 2 decimal places?\nAnswer: -9.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.178 + 168.872. Let d = q + 0.95. Let z = d - 177.9999778. Round z to 6 decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -549*d**3 - 1126*d - 9. Let t(g) = -137*g**3 - 281*g - 2. Let b(o) = 9*t(o) - 2*x(o). What is the second derivative of b(p) wrt p?\nAnswer: -810*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + 155. Let n(i) = -197 + b - 25*i. Let g(w) = -2*w. Determine n(g(m)).\nAnswer: 50*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.3, -1, -3, -12\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -23*n**7\/2 + n**5\/20 - 1325*n**4\/12 - n - 19. What is the third derivative of c(f) wrt f?\nAnswer: -28980*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1061554, 1061512, 1061470, 1061428, 1061386?\n\"Answer: -42*j + 1061596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -41535185.3 and -3.\nAnswer: -41535188.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*v = -7*v - 5, 5*v = -3*q + 55. Suppose a - q = -0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -11. Let v be ((-6)\/p)\/((-12)\/(-40)). Suppose -2 = 4*z - v*z. Solve -5*d = 0, -j + z*d = -6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1962342 by 246.\nAnswer: -7977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4393.03 litres?\nAnswer: 4393030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -266, -0.5, 14, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 8*x - 6. Let k be y(9). Let i be (-5)\/25 + 1\/5. Which is the biggest value? (a) i (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4\/6 + 14*u**3 - 829*u**2\/6 + 319*u - 584\/3 = 0.\nAnswer: 1, 2, 8, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -2)\/(10\/765). Let c = 7 + 0. Suppose -c*n = -4*n - v. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p - 22. Is b(38) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*g - 12 = 0, 2*b - 14 = -0*g + g. Let q = -41 + 77. What is the lowest common multiple of b and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 11*t - 1. Suppose -5*c = -18*c - 104. What is the remainder when 77 is divided by q(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*v + 18 = -3*k, 28 = -3*k + 5*v. Let q = 21 - k. Calculate the least common multiple of 6 and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 9 (c) -2 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76087219 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + a**4 + 2*a**3)*(0 - 2 + 3) + 111*a + 32*a**4 - 111*a.\nAnswer: 33*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**5 + 10*t**3 - 181*t**2 wrt t?\nAnswer: -120*t**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, 45, 93, 145, 195, 237?\n\"Answer: -g**3 + 11*g**2 + 12*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*o**2 - 318*o**2 + 98*o**2.\nAnswer: -154*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -253989*d**3 + 3*d**2 - 17155?\nAnswer: -1523934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.6081 - -1.96664342.\nAnswer: -18.64145658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133*h**4 - 5*h - 1 wrt h?\nAnswer: -1596*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-132) - 40\/22\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + i - 2*i)*(-25 + 3 - 22)*(-3*i + 3*i - 8*i).\nAnswer: 704*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*d, -3*w + d = -d - 61. Let x = w - 10. What is the remainder when 49 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 5 - 2*c + 2*c)*(6*c**3 - 14*c**3 - 120*c**3) as g*c + o + z*c**4 + s*c**3 + k*c**2 and give s.\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 722287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 14. Suppose -527*o + 581 + 292 = -181. Which is the nearest to 1\/2? (a) -4\/7 (b) 5 (c) g (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 15*n**2 - 2*n - 20. Calculate i(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 8:43 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-244)\/183*5*(-3)\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f - 108 = 32*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 17 - 17 - 8*u. Let w be p(-1). Solve -4*d - 8 = w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 332 + -328. Let o be -1*19 - (-3 - -1). Let i = o - -83\/5. What is the third smallest value in i, m, -1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2130040664?\nAnswer: 2, 266255083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -280, -355, -426, -493?\n\"Answer: 2*x**2 - 81*x - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.123 * 1.28\nAnswer: 0.15744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11453\/11 or -1041?\nAnswer: -1041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 15*l**2 - 7*l + 2. Let g(h) = 23*h**2 - 10*h + 3. What is 5*g(t) - 7*r(t)?\nAnswer: 10*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3396515859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -0*b - 3*x + 15, 3 = -b + 3*x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 237802, 237803, 237804, 237805, 237806, 237807?\n\"Answer: q + 237801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291.457 centuries to millennia.\nAnswer: 29.1457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 295 - 291. Let u(h) = 2*h + 15. Let g be u(7). Suppose b*y - g = 71. What is the remainder when y is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**4 + 20*g**3 - 2*g**2 - 20*g = 0.\nAnswer: -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 5:44 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/2 of a week?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*k + k + 11*k as b*k + r and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from {j: 2, w: 2, q: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 2*x**2 + 2*x + 7. Calculate the remainder when 65 is divided by r(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 329*i**2. Let a(z) = -5946241 + 5946241 + 20*z. Give w(a(m)).\nAnswer: 131600*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*r**2 + 81*r**2 + 82*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481581998 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229548 is divided by 271?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/160 and 77\/240.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419451 is divided by 464.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-158515)\/(-36232)*(-2)\/(-7)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 99.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 430 + -408. Suppose 15*x = t*x - 7. Which is the nearest to 10? (a) -2\/5 (b) 0.3 (c) -3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**4\/24 - v**3\/2 - 4*v**2. Suppose -4*z - 2*j = -10, 2*j - 5 = 4*z + j. What is g(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -558 + 558. Let l(a) be the third derivative of c*a + 0 + 4\/3*a**3 - 1\/6*a**4 - 5*a**2 - 1\/15*a**5. Suppose l(w) = 0. What is w?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.37 - 0.03. Let o = -1.1 - z. Let w = 1 + o. What is the smallest value in 0.2, 0.4, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1531 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -164 * -95\nAnswer: 15580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(968)*3*-3*-5)**2.\nAnswer: -7840800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 102510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 10. Let c be h(-8). Suppose -5*t + 3*a + 220 = 0, -c*t + 0*a = -3*a - 79. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkb when three letters picked without replacement from kkkbbkkk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 - 3*c + 2*c**4 - 6352*c**2 - 28 - 2*c + 3*c + 5*c + 6348*c**2 as z + n*c**3 + g*c + y*c**4 + i*c**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4 - 4*y**3 + 3*y**2 + 4*y - 4 = 0. Calculate y.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*t - 36*t = -5*a - 35, 5*a = -2*t - 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558*k - 525*k - 31 = 68 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -51592864 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1864? (a) 0.5 (b) 10 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/9 + 6*(-16)\/(-216)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/9 - 16*o\/3.\nAnswer: 2*o*(o - 24)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 4*g + 4. Suppose -8*k = 29 + 3. Let y(p) = p**2 - 3*p - 3. Let q(x) = k*y(x) - 3*l(x). Let s(u) = 22*u**2. What is q(s(m))?\nAnswer: -484*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-392)\/140 + (-54)\/(-30). Put -2, 1, 456, h in descending order.\nAnswer: 456, 1, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 - 2*d + 2. Let w(s) be the first derivative of -2\/3*s**3 + 3*s - 3\/2*s**2 - 25. Give 2*w(r) - 3*y(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 4*b + 3 + 3\/2*b**4 - 3*b**2 - 2\/3*b**3 - 2\/5*b**5. Factor u(h).\nAnswer: -2*(h - 2)*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*b + 11*j + 1 + 2, 3*b + 5*j = 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -239 (c) 5 (d) -0.17 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eaa. Give prob of picking 2 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22564 - 30644?\nAnswer: -6060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.9 - 35. Which is the closest to -1? (a) 2 (b) 0.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -13. Suppose -11 + 5 = o. Let y = o + v. Do y and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 825 and 9327835?\nAnswer: 139917525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -2. Suppose w + 8 = 3*q, r*q - q - 6 = w. Let o = q - 0. Solve t = -0*t + o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (90 - 100) - (-53 - 0)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3374884475 to the nearest integer?\nAnswer: 58094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2874 divided by 6.\nAnswer: -479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3401759 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -44*m - 4*m. Let n(r) = -r**2 + 22 - r - m*r**2 + 23 - 36 - 12*r. Let z(j) = 3*j**2 + 6*j - 4. Give 4*n(y) + 9*z(y).\nAnswer: 3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163705315.\nAnswer: 5, 32741063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -177, -235, -293, -351, -409?\n\"Answer: -58*h - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/((-152116)\/(-1360) + -112)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2 - 2\/3*p - 1\/3*p**3 + 0 = 0. What is p?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c = u - 21, -17 = -u + 5*c. Calculate the highest common divisor of u and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 + -0.075. Let r = -0.0893 - a. What is r rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2196*g**2*r**3 + 4*g**2*r**2 + 303*g**2*r + 3*g**2 - g*r**2 - r + 2 wrt r.\nAnswer: 13176*g**2*r + 8*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -111*n**2 - 12*n + 10. Let g(c) = -334*c**2 - 35*c + 29. Let b(i) = -3*g(i) + 8*l(i). What is the second derivative of b(q) wrt q?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030694503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 - 1 + 1 + (2*u - 1 + 1)*(4 - 4 - 2*u**2) + 2*u**3 - 5*u**3 + 2*u**3 - u**3 - u**3 + u**3 + (-54*u + 71 - 71)*(-u**2 + 2*u**2 + 0*u**2).\nAnswer: -62*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, g: 1, p: 2}. Give prob of sequence pgpz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, d: 3, x: 9}. Give prob of picking 2 n, 1 d, and 1 x.\nAnswer: 81\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 16*a - 10. Suppose 24 = -3*c + 7*c. Suppose c*w = 7*w + 21. Let h = w - -10. Let q(p) = -3*p + 2. What is h*q(u) - 2*y(u)?\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555464 is divided by 111067.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84073 divided by 2.\nAnswer: -84073\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 539*r**3 - r**2 - r + 1. Let n be z(1). Let d be (n\/4367)\/((-24)\/(-642)). Let i = d + 9\/397. Find the common denominator of 125\/12 and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -7*q - 197. Calculate v(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**2 + 12*d*j*t**2 + d*j*t + 2*d*j - 10*j*t**2 + j + 3*t wrt d.\nAnswer: 2*d + 12*j*t**2 + j*t + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 25990 to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 4*z - l, 0*z + 3*l - 49926 + 49899 = -3*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*v + 3*t - 45, -v - 6 = -2*t. Let o be 0 - v - (-1)\/3*-3. Suppose 20 = 16*z - o*z. Solve 2*g + h + 10 = z*g, -2*g = -4*h - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14130213989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c + 4*c - 2*c + (0*c + c + 0*c)*(7 - 1 + 6) to the form u*c + s and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) -1\/3014 (b) -0.9 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25063283 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/67))**17 assuming r is positive.\nAnswer: r**(17\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (440\/45 - 1) + (-4)\/(-18). Let y(k) = q - 8 - 4*k + 0. Let d be y(-3). What is the greatest common factor of 91 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7742 and 395?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3122810, -6245627, -9368444?\n\"Answer: -3122817*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1355947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51 or -262\/5?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 6546 + 2676. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002 - 110000?\nAnswer: -112002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*k = -353, 2*c - 706 = -24*k + 29*k. Suppose 2*g = 527 + c. What are the prime factors of g?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15849 - -15850. Let l be 4 - (1 + 2 + -1). Put l, -18, b, 3 in decreasing order.\nAnswer: 3, l, b, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.377 + -0.077. Which is the nearest to 0.5? (a) i (b) 2\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2438280 and 312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(-4*(sqrt(12) + sqrt(108))) - (1 + (sqrt(192))**2).\nAnswer: -193 - sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(147\/(-180)))\/(61\/(-427))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 2*r**3 - 3*r**2)*(-r**2 + 7*r**2 - 3*r**2) + (-3*r**3 - 2*r**3 + 0*r**3)*(r**2 + 0 + 0).\nAnswer: -11*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lllllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1819837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152490845 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1780587180.299998012 - -1780587134. Let h = d + 46.3. Round h to seven decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169623340.\nAnswer: 2, 5, 1459, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 155 + -619\/4. Let l = -3 - -6. Let p = -1 + l. Which is the closest to h? (a) p (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 38?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -179.89 and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245993 is divided by 3500.\nAnswer: 3493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423 + 423 + 45*i**3.\nAnswer: 45*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -0.6, -3, 1\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven quarters of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e7830 - 5?\nAnswer: e782a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1707489 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (216\/45)\/(48\/(-120))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/15*1*10. Suppose 147 = 25*v + 97. Suppose -76 = v*b - f*b. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 407765741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 59. Let b(q) = -3*q - 24. Let l be b(z). Calculate the greatest common divisor of l and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 7 = 3*c. Suppose 0*b + 4*m = -3*b + 89, 0 = 3*b - c*m - 44. Let s = 18 + 4. Is s greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -56*a**3 + 22*a**2 + 17*a**4 + 48*a**4 - 35*a**4 - 2*a + 6*a.\nAnswer: 2*a*(a - 1)**2*(15*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -842 + 5?\nAnswer: -836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**4\/4 + z**3\/3 - 3*z - 5. Let v be (1 - 1)\/(-3 - -2). Determine d(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 - 1 - l - l**3 - 9*l**3 + 4*l**3 to the form z*l**2 + a*l**3 + x + m*l and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -13, -3, -5, -55?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22377.\nAnswer: 3, 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 10, 38, 80, 136, 206, 290?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7321 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 7*w + 2034 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + 5*(sqrt(98) + 1 + 4) + 4 + -6*(-1 + sqrt(98)) + 4)**2.\nAnswer: -6615 + 2450*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 144\/(-9)*(-2)\/4. Solve -x = -g - g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*i**2 - 351*i**2 + 249*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 13. Let w be i(18). Suppose u - w*u = -12. Suppose -5*q + 0*q - 9 = -u*x, 0 = -2*q + 2*x - 6. Let o(t) = t - 7. Calculate o(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 + 8)*(2*n + 0*n - 3*n) + (1 - 14 - 1)*(2*n - 6*n + 3*n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111 + 1?\nAnswer: -111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*j + 1 = -3*j, j + 2 = -5*i. What is the nearest to 1 in 4, i, -8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9288.051 hours in days?\nAnswer: 387.002125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxxxxxuxxxxxxxxxxxux. What is prob of picking 1 u and 3 x?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unkpp. What is prob of picking 1 n and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b - l + 18 = 0, 3*l = -3*b + 18. Let m be 8\/((-48)\/(-30)) - 5. Solve m = -3*t - b - 11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2411.54 - -2411. What is c rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 3\/(-6))*0. Solve 0 = -j*s + 2*s + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-355)\/30 - (-558 - -544).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -3\/11 (c) 0.11 (d) -5.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7478910 rounded to the nearest ten thousand?\nAnswer: -7480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + 1*sqrt(304) + (sqrt(304) - 2*sqrt(304)*2) + sqrt(304))**2.\nAnswer: -1920 + 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -14313.7668 to 0 decimal places.\nAnswer: -14314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6*o - 4*i + 3690 = 0, -9225 = -5*o - 2*i. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (102\/64)\/(-3) - -1 and (-8694)\/(-392) - 52\/(-91).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 279*n**2. Let d(u) = 64*u**2 - 6*u + 6. Let t(w) = 11*w**2 - w + 1. Let f(m) = -d(m) + 6*t(m). Calculate f(h(q)).\nAnswer: 155682*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 2*d - 10 = 0, 8*a = 4*a - d + 17 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/39)\/((-1)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*d - 3\/7*d**2 + 18\/7.\nAnswer: -3*(d - 2)*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -279.13442 to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0050563 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6)*j**(3\/5))\/(j*j**(-2)*j\/j**(3\/4)*j))\/((j**(1\/2))**46*j\/(j**4\/j)*j\/(j\/j**(3\/7))) assuming j is positive.\nAnswer: j**(-3791\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9731\/6 + -223801\/138. Which is the nearest to 0.2? (a) j (b) -0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4352, 4253, 4154, 4055, 3956?\n\"Answer: -99*f + 4451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -294266 + 6.6.\nAnswer: -294259.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 6:47 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (1 + 0)*2. Suppose -4*q + 4 + 8 = 0. Suppose c*d - 984 - 919 = -3*p, q*d - 2530 = -4*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, q: 16}. Give prob of picking 2 m.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556395481.\nAnswer: 223, 2495047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b (base 13) in base 4?\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -3*j + 21*j + 219 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 8) in base 2?\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 3. Let v(x) = 3. What is -7*m(w) - 6*v(w)?\nAnswer: -7*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*o**3 - o**2 - 29*o - 12379 wrt o?\nAnswer: -9*o**2 - 2*o - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 0*y**3 + 0*y - 1\/420*y**7 - 67*y**2 - 1\/60*y**6 - 1\/8*y**4 - 2 + 11\/120*y**5. Find j, given that u(j) = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279 = 5*w - 2*x - 310, 5*w = x + 28 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.05 + 0.05. Let g = 4.35 - -0.05. Let w = g + -0.4. What is the nearest to i in 2\/3, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 - 23*n**2 - 70*n - 13. Determine i(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 90846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34.5697 - -0.1753. What is k rounded to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -3. Suppose -y*h = -3*h + 35. What is the units digit of (-205 + 1)*2\/(3 + h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19801530 + -12403530. Round n to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-9) + 31\/12. Suppose 7*n - 2*n = 0. Let s be 2 - 1 - (n - 0). Which is smaller: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 10. Let m be 5\/10*(g + 1). Solve 0 = -m*s + 2*s + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 1:27 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -30*(6\/9)\/(-2). Let l be (-1)\/3 + h\/3. Let p be 11000\/l*(-72)\/6. Round p to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 - (-7 - (3 - 8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -q + 3*q - 5 + 1 + 13*q**2 - 22*q**2 - 17*q**2 as a + z*q**2 + b*q and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*b = 9*y + 1580, -5*b - 293 = y. Let h = 181 - y. What are the prime factors of h?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) 2\/11 (b) -2\/3 (c) -4\/13 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - y - y - 10, 14 = -3*m - 4*y. Let d(u) = -u**3 + 2 - 1 - 4 - 4*u**2 - 2*u + 2*u**2. What is the units digit of d(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 z, and 2 s when four letters picked without replacement from {z: 1, s: 14, q: 2}.\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -939*n**2 + 57*n + 2?\nAnswer: -1878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 + 15*b + 131. Let o be h(-11). Suppose -10*v + o = -9*v. Is 39 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 u when three letters picked without replacement from wuwugwggwuwwu.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-4) + 7\/(-14). Suppose -2*f = 4*d - 21 - 65, -109 = -3*f + y*d. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12408021 to the power of 1\/2, to the nearest integer?\nAnswer: 3523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 911 divide 74132625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Let n = -4378 - -1965. Let v be (-1 - 0) + n\/(-2375). Which is smaller: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -a01?\nAnswer: -a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 626069.3 years in months?\nAnswer: 7512831.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (2 + -4 - (5 + -5))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k*u**3 - 80*k*u**2 - 548*k*u + 106277*k wrt u?\nAnswer: 6*k*u**2 - 160*k*u - 548*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**8)**(-3\/37)\/(((k\/((((k*k\/k**(3\/10))\/k)\/k)\/k))\/k)\/k*k**(1\/7)))**(-44) assuming k is positive.\nAnswer: k**(62194\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 321\/4 - 80. Which is the closest to 2\/25? (a) -0.3 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 6*y - 20 + 17\/2*y**2 + 1\/3*y**3. List the prime factors of h(5).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42444\/7860*2\/(6\/5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3216898217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {k: 4, l: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 145 - 6?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7682*r - 34. What is the units digit of a(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4332 - -4332. Which is the nearest to -269\/4? (a) 5 (b) 0.3 (c) k (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -11. Let h = g + -7.4. Let m = 4.6 - h. Sort 3\/5, m, -3 in decreasing order.\nAnswer: m, 3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o**3 + o**2 - 6*o + 7. Let k(x) = -5*x**2 - 4 + 6*x**3 + 3*x**2 + 6*x - 2 + 0*x**3. Let z(y) = -4*f(y) - 5*k(y). Factor z(w).\nAnswer: -2*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -42, -76, -110, -144?\n\"Answer: -34*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1309*o - 628*o + 3*o**2 - o**3 - 2*o**2.\nAnswer: -o**3 + o**2 + 681*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7702, -15404, -23106, -30808, -38510?\n\"Answer: -7702*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z - 3*n + 11 = 0, 5*n = -5*z + 65. Calculate the smallest common multiple of z and 286.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19438, 39271, 59116, 78979, 98866, 118783?\nAnswer: 138736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqqb. What is prob of picking 2 q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*u + 32, -5*a - 6*u - 80 = -2*u. What is the biggest value in 2, 0, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 10*n - 14. Let k(c) be the third derivative of -c**4\/12 + c**3\/2 - 35*c**2 + 1. What is -2*g(p) - 11*k(p)?\nAnswer: 2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5647, -5, -2, 179, 3.\nAnswer: -5647, -5, -2, 3, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-22 + 423\/18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkbbkkkbkkkk. What is prob of picking 2 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -550*f**2. Let d(n) = -332*n. What is d(i(m))?\nAnswer: 182600*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 19*m + 5. Let u(p) = -20*p - 6. Let v(t) = -7*a(t) - 6*u(t). Suppose 15 = -6*z + z. Let n be v(z). Calculate the highest common divisor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+-3239209897\nAnswer: -3239209901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*w + 93 = 0, -4*r + 132 = -w - 3*w. Suppose -o = o - r. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 2*o)*(-o + 0 + 0) + 0*o**2 + 3*o**2 - 2*o**2 in the form x*o + c + h*o**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 19 = -64. What is the closest to u in 2, 1, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/20*(-16 + 1). Factor y - 12 - 2*f**2 - 2*f.\nAnswer: -2*f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 - 1.99. Let i = -0.01 + h. Let j = -0.1 - 0.4. What is the biggest value in i, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/(-260) - (-129)\/(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -6*h + 10 + 32, 5*g = 2*h + 26 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m - 31. Determine j(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/9 + 861070*n\/9 - 185360386225\/9.\nAnswer: -(n - 430535)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64386 is divided by 805.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 650 + -1?\nAnswer: 64b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + i**2 - i - 2. Let w be s(2). Let y - 2*y**4 - 13*y - 18*y**2 - 20*y**3 - y**4 - 3 + w*y**3 = 0. Calculate y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 869145 (base 10) to base 16\nAnswer: d4319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2191 - 6879 = -8*s. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1835\/18 - 102. Let j = 29\/126 - h. Which is the third smallest value? (a) 0 (b) 4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 less than 10.58627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, p: 5, q: 2}. Give prob of sequence ppqg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 575 divided by -115.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbb when three letters picked without replacement from qrqrrhgqqqrhrrqbhbq?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7279150 divided by 5.\nAnswer: -1455830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-12) + 6*3\/(-9).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 80*w - 16 - 10.\nAnswer: 80*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from qqeleqeeeelqeqq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxjxrrxjrrjrjjjjrrj. Give prob of picking 1 j and 1 x.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 131*f**4 - f**3 - 5*f**2 + 959 wrt f?\nAnswer: 524*f**3 - 3*f**2 - 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-2)\/(0 - -1). Suppose -p*n = 2*n. Suppose 32*j - 8 = 36*j, 0 = 5*c + 5*j + 5. Solve 14 = -5*y - 3*s + c, n = -5*y + s - 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.055\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(17)*3*-5 + -2 + sqrt(51)\/(-3*sqrt(12)\/sqrt(4)) + 4)**2.\nAnswer: 896*sqrt(17)\/3 + 853028\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 2*u - 2*u + (2 + 3 - 3)*(4 - 2*u - 4) + 3*u - 2*u + u - 5*u + 10*u + 7*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -544a06 (base 11) to base 9.\nAnswer: -1565815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or -23?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/52702803 and -13\/2969172?\nAnswer: 210811212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -334201 (base 5) to base 4.\nAnswer: -2320121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3829273?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**4 - 17*v**3 + v**2 + 11*v + 3. Let p(r) = -2*r**5 - 24*r**4 + 84*r**3 - 4*r**2 - 54*r - 14. Let q(z) = -6*p(z) - 28*u(z). What is s in q(s) = 0?\nAnswer: -4\/3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/9 - (-4)\/(-18)*57. What is the tens digit of (-1350)\/(-7) + g\/(-91)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209779679 to the power of 1\/4, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*o - 186 + 1876. Suppose -19*m - 105 = -o*m. Let g = 1 + 2. What is the lowest common multiple of g and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3)*(0 + 12*m + 0) - 4*m + 4*m - 2*m + (3 + 3 - 7)*(3*m - 3*m - 4*m) - 2*m + 0*m - 2*m.\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/537 (b) -1 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 4*p**2 + 2*p + 5*p - 5 + 2 - 4*p. Let k be r(4). Suppose -7*n + 36 = -3*n. Calculate the greatest common divisor of k and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 27, -1\/104, 2, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/25 + 1\/425. Let i = 0.5 - 0.5. What is the smallest value in 1, i, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3616679 rounded to four dps?\nAnswer: 0.3617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 14\/9 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10145 divided by 2029.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 148 - -13. Let k = j + -4. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.5 * 0.053\nAnswer: -0.6095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -87030*v**3 - 4*v**2 + 46*v - 100. Let b be c(4). What is b rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 + b + 1. Let d(u) = -23*u**3 + 3*u**2 + 2*u. Calculate the smallest common multiple of d(-1) and m(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67344490 + 67344489.11512957. Let i = q + 0.08487111. Let g = i + 0.8. What is g rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 36 = 6*h - h, 0 = -4*u + 2*h - 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -125?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66396.\nAnswer: 2, 3, 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from xvbxxluxl.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 8*i**2 - 12*i - 12. Let q be f(-9). Suppose 4*z + q = -z, -5*z + 66 = -3*a. Let l = 39 + a. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 12*q**2 - 15*q + 44. What are the prime factors of f(-17)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 386*h**3 - 827*h**2 - 2137*h + 95?\nAnswer: 2316*h - 1654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107080 by -2.\nAnswer: 53540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 82583546 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 292.6 take away 0.47?\nAnswer: 292.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-10)*(-15)\/12*10. Let l be (1 + 0)\/(4\/240). What is the greatest common factor of l and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*a + 6. Suppose -a = g - 5. Solve -3*q + g*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113*a**5 + 31575*a**3 - 1731261*a.\nAnswer: -2260*a**3 + 189450*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32995806211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/3493, 4 in descending order.\nAnswer: 4, 2, 2\/3493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 402932 to the power of 1\/2, to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/(-6) + 0)*74\/36. Let m = k - -13\/3. Factor -7\/4*w**2 + m*w**3 + 1\/2*w + 0.\nAnswer: w*(w - 1)*(5*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -8 + 5. Let s(n) = -4*n**2 - 8*n + 12. Let v(h) = h. Let k(o) = d*s(o) + 16*v(o). Factor k(x).\nAnswer: -4*(x - 3)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**5\/3 + 7240*h**4\/3 - 1156570*h**3 + 718457740*h**2\/3 - 62120135285*h\/3 + 485076113340 = 0.\nAnswer: 36, 221, 749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 - b**2\/3 + 10*b\/3 - 8\/3.\nAnswer: -(b - 2)*(b - 1)*(b + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 5*w**2 + 3*w + 8. Let h be x(4). What is the greatest common divisor of 16 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -17*i + 8. Let m be a(-2). Calculate the greatest common factor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369806929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*w**2 + 0*w - 2*w**2 - 5*w)*(w - 1 + 1)*(-14 - 67 + 10) + (0*w**2 - 2*w**2 + 3*w**2)*(w - 4*w + w).\nAnswer: -73*w**3 + 355*w**2 + 142*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -795*z**2. Let a(q) = q**2. Calculate a(t(p)).\nAnswer: 632025*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-23)*i**(-2\/5)*((i*i\/(i*i*i**(-3\/7)*i))\/i)**(-2\/13) assuming i is positive.\nAnswer: i**(-10537\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238034 is divided by 235700.\nAnswer: 2334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78\/451 or 0?\nAnswer: -78\/451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16826, 33655, 50484, 67313, 84142?\nAnswer: 100971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*i**4 + 2330*i**2 + 3056135 with respect to i.\nAnswer: 56*i**3 + 4660*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i + 0*i = 60 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + (41 - 38 - -31).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/14*(-1)\/(-2). Let b be 9\/(-6) - ((-14)\/4 + 1). Is o at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3765 - -473. Let w(n) = 172*n - 1028. Let a be w(6). Suppose 366 = a*t - j. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, 1\/5, -1 in ascending order.\nAnswer: -1, 1\/5, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*b**3 - 214*b + 214*b)*(-40 - b - 13*b + 40).\nAnswer: 1442*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 2:34 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1700491 divided by 1\nAnswer: 1700491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (176\/(-132))\/(8\/(-54)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6297399?\nAnswer: 3, 179, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 7*p**2 + 6*p + 7. Let v = -2 - -8. Is x(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -387 + 196 + 191 + 819*s as c*s + i and give c.\nAnswer: 819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k - 1. Let h be (0 + 3)\/(15\/10). Suppose 2 = -2*f - 0*f + 2*a, 0 = a - h. Calculate q(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen quarters of a day?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 167 - 177. Let h(t) = t**2 + 16*t + 65. Let p be h(o). Suppose 35 + 42 = 5*i + 4*b, 0 = 4*i - 2*b - 72. Solve i = 3*f + p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1573) + -1) - sqrt(1573))**2.\nAnswer: -660*sqrt(13) + 39361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 642, 2610, 5898, 10512, 16458, 23742, 32370, 42348?\n\"Answer: r**3 + 654*r**2 - r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2686 (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -417438, -1669877, -3757276, -6679635, -10436954, -15029233?\n\"Answer: -417480*u**2 + u + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1906 + -1905.7. Sort -30, -4, g, 3.\nAnswer: -30, -4, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2*y - 9 = 5, -5*b + 8 = y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) - sqrt(8)\/(sqrt(12)\/sqrt(6))) + sqrt(64) + 2*sqrt(64))\/((-2*sqrt(320) - sqrt(20))\/(-2*sqrt(160))).\nAnswer: 32*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, -13.7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1911578974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -30, 4, -0.1, 2 in descending order.\nAnswer: 4, 2, -0.1, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 - 823 = -10*z. Calculate the remainder when z is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 7.6. Let y be ((-2)\/21)\/((-2)\/6). Let i = -0.529 + 0.629. What is the closest to i in -0.3, b, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 + 77.81. Round p to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/22*285912\/(-9747)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 216\nAnswer: 7\/216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (1 + 1) - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r, 3*i - 2*i - 5*r + 2 = 0. Let u be 3 + 3 - 0\/i. Solve -u*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.037 + 0.037. What is the nearest to -0.05 in m, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*s + 69. Let m = 14 - s. Let q = 19 + m. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*y**3 + 0*y**3 + 39*y**4 + 4*y**2 + 2*y**3 - 55*y**4.\nAnswer: -4*y**2*(y - 1)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1 = -3*w, -3*v + 6*w + 30 = w. Which is the nearest to 2? (a) v (b) 4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1846 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88920330.\nAnswer: 2, 3, 5, 2964011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (9 - 2 - 4) + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*z = 2243 + 1423 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1891161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462007 is divided by 230449.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11 - -7) + 5 - -6) + -15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 8*z - 21. Let u be o(10). Suppose 0*s = s - 2. Let d be s - ((-29)\/(-9) + u). Which is the biggest value? (a) 0 (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -2, -12.\nAnswer: -12, -8, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 3 - 2*u - 10 + 3*u**2 - u**2. What is the units digit of w(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2981 divided by 271\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 445549538?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 2*x**2 + 14*x + 2. Let h(w) = 5*w**3 + 9*w**2 - 57*w - 9. Let o(y) = 2*h(y) + 9*j(y). Find the second derivative of o(r) wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112389 and 15.\nAnswer: 561945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 3)*(0 - 1 + 2)*(86*q - 152 + 152) - 5 + 5 + q to the form d*q + j and give d.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*c = 31, -251*c + 255*c = 3*q - 37 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 348766063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-132*r - 17*r**2 + 132*r)*(2*r - 2*r**3 - 2*r) - r**5 + 3*r**5 + r**5.\nAnswer: 37*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 - -4149871959855.\nAnswer: 4149871959894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2279021795.\nAnswer: 5, 3719, 122561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.192 + -0.91. Let q = -0.3652 + u. What is q rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - -1*20*2 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181*((-8)\/(-6))\/((-84)\/(-63)).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zua when three letters picked without replacement from zuzazuzuuuauuuuz?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 4118.\nAnswer: -411.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1841+696.36\nAnswer: 2537.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6)\/(2\/(-12)). Which is the nearest to -2? (a) -5\/6 (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -7*t**4 - 61*t**2\/2 - 135*t. Find the first derivative of r(k) wrt k.\nAnswer: -168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2625 a factor of 381535875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -2\/5 (b) -2\/19 (c) -0.27 (d) 0.03 (e) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24144 divided by -6\nAnswer: -4024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v - 2. Let b(x) = 4*x - 2. What is 3*b(m) - 4*o(m)?\nAnswer: -8*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*l**2 + 151*l + 295*l - 446*l.\nAnswer: -210*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 615 and 33465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 826?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-2\/9))\/(k\/k**(-1\/4)))\/(k*k**(1\/3))**(-2\/35) assuming k is positive.\nAnswer: k**(1321\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5184 and 791632.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*n - 4277, 0 = f + n - 4*n - 865. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -100*n + 1. Let x(m) = 128*m. Let i(l) = -5*u(l) - 4*x(l). What is i(7)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 840 divide 851242132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, -0.05, -0.4, -1 in decreasing order.\nAnswer: -0.05, -0.4, -1, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 123280 and -239?\nAnswer: 123519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*g, 0 = -8*v + 6*v + 5*g - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*f - 163*f - 222*f)*(-3 + 2*f + 3) to the form d*f + r*f**2 + v and give r.\nAnswer: -750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = h, 3*g + 6*h - 18 = 3*h. Suppose 5*o = k + g*k - 15, 15 = -5*o. Suppose 5*i - 60 + 0 = k. 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 g in g**3 + 303878*g**2 - 303881*g - 607758 = 0?\nAnswer: -303879, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -656 * 165.4.\nAnswer: -108502.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 187, 191, 195?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 8.3. Let r = p + -0.6. Let b = 0.8 - -0.2. What is the closest to b in r, -3\/4, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 6:23 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/1 + (0 - 1). Suppose 0 = -3*b + 3, -16 = -3*u - 3*b + w. Find the third derivative of -u*x**2 - 8*x**5 + 11*x**5 + x**2 wrt x.\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395*f**2 - 411*f**2 - 784*f**2.\nAnswer: -800*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1806 is divided by 1787?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 80.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 137\/10?\nAnswer: 137\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -5*b + 263 + 254, 0 = -t + b + 118. What is the highest common divisor of 41 and t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22317 and 1.2.\nAnswer: 22318.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/2 - 0)*(-39 - -36). Suppose -532 = -4*u - 0*n + b*n, -u = -2*n - 133. Calculate the remainder when u is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111 + 1?\nAnswer: -110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -8. Let l = y - 8. Let i(a) = -a + 5. What is the lowest common multiple of 7 and i(l)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6361874*j - 3. Calculate i(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2207381141 to the nearest one hundred thousand.\nAnswer: 2207400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 29. Let k be l(-68). Solve k = v + 101 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -461 + 17055\/37. Suppose -8*a = -5*m - 5*a + 3, 2*m - 4*a = 4. Are g and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -35 (b) -5 (c) -33\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 57, 47, -15, -147?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 9*m**2 - 13*m - 4. Let s be u(-7). Let y(d) = -d**2 - 12*d + 5. Let g be y(s). Find the common denominator of -77\/142 and (150\/32)\/(8\/g).\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 9491.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -163 + 154 + (-4 - -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11401 is divided by 760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*k**2 - 8 + 7 - 3*k**2.\nAnswer: -72*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.0962 (c) -2\/13 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4839 + 19249\/4. Let f be -4 + (-160)\/7 + (-6)\/42. Are n and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18569 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11930333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51719500 divided by -14777.\nAnswer: 3500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5946369998.\nAnswer: 2, 19, 23, 821, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, 2, 10, 22, 38?\n\"Answer: 2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 9*f**4 + 6*f**3 - 8*f. Let y(s) = 18*s**4 + 13*s**3 - 15*s. Let u(j) = 13*a(j) - 6*y(j). Find the second derivative of u(q) wrt q.\nAnswer: 108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/21*2915\/10. Let t = -2703\/28 - m. Calculate the common denominator of t and 33\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 575*x**3 + 560*x**3 - 1137*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-117)*4\/(-10).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -42*d - 463. Let k be g(-11). Let p(o) = -o**3 + 11*o**2 - 9*o. Let y be p(7). Let a be y\/28 + k + (-6)\/8. Solve -a = -3*l + 5*w + 2, 5*w = -5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - -2)*2\/(-3). Suppose 18 = -3*l + r*h, 15 = -5*l + 3*h - 14. Let x be l\/(-1) - (-5 + 1 - -3). Solve x*j = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -749 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 126\/12*8\/3. Factor -16 - 15 + w + 3*i**2.\nAnswer: 3*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12481003 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emzezzezemeze. What is prob of sequence em?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*a + 1442, 0 = -4*a - 4*q + 2*q + 1908. Suppose 8*u - a = 6*u + 2*d, -d = 0. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24 - (-29 + 6))\/((-1)\/(-12)). Which is the nearest to x? (a) 0.13 (b) -0.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 5*q = 502 - 512, -1 = q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -85 in 20, 15, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 2*j + 3474 + 204, 0 = r - 3*j + 912. Is (-11 - 4)*(r\/9 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 55 - 29 - 71?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5923673209 and -0.1.\nAnswer: 0.4923673209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q - 15 = 5*h, 0 = -3*h + 5*q - 25. Suppose 6 = 2*c - o - h, 3*o = 2*c + 2. Solve 0*k + c = 5*k, 5*s + 4*k = -1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2\/7, 16, -2 in descending order.\nAnswer: 16, -2\/7, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 0, -5, -16, 1, -149, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from lllulooololoyulllk?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.78 + -56.22. Let x = g - -57.95. Which is the nearest to x? (a) -2 (b) 5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 73\/5 of a meter?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**6\/300 + z**5\/15 + 29*z**4\/60 + 4*z**3\/3 - 1593*z**2. Find x, given that u(x) = 0.\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((2*sqrt(121)*-1 - sqrt(121))*5)\/(sqrt(88)\/(sqrt(8) - (sqrt(8) - (sqrt(64)\/sqrt(2))\/sqrt(4))))*-4 + 0).\nAnswer: -300*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - h**2 + 17 in the form z*h + o*h**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - p + 2244, -3*p = 6*g - 3*g - 3360. Suppose 0 = -22*a + g - 156. Solve -5*v - a = -24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (152 + 335*h - 152)*(1 - 1 - h)*(-h + 2*h + 0*h + h**2).\nAnswer: -335*h**4 - 335*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -9, 180*b = 181*b + 4*y + 8. Calculate the smallest common multiple of 81 and b.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233421454 (base 6) in base 5?\nAnswer: -2104414343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96451, 191212, 285973?\nAnswer: 380734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 168*o**2 - 2724*o - 13440.\nAnswer: -3*(o + 10)*(o + 14)*(o + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 3*i - 12. Suppose i*h + 8 = 0, -d + h - 28 = 5*h. Is 17 a factor of ((-68)\/(-6))\/(d\/(-90))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -393 + 393.4. Which is the biggest value? (a) v (b) -5 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.45985ml to litres.\nAnswer: 0.00045985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -z - m - 2*m, 0 = 3*z - 4*m - 118. Let r(f) = -f**3 - 8*f**2 - 10*f - 5. Calculate the remainder when z is divided by r(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -5, 4 in ascending order.\nAnswer: -5, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 38.2 (c) 29 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 216 + -173. Let k = i + -42. Which is the fourth biggest value? (a) 2 (b) -3 (c) -0.041 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -167*n**2 + 1013*n - 30. Determine b(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1974)\/4)\/(-9 - 0). Let r = i + -55. Let a = 48 + -48. Sort r, 0.3, a in descending order.\nAnswer: 0.3, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*k**4 + 13 - 13 + (k**2 + 3*k**2 - 2*k**2)*(2*k**2 - 2*k**2 - 2*k**2) - 21*k**4 + 1 + 3 - 3 - 1 as i*k**4 + z*k**2 + n + u*k**3 + s*k and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 + l**3 + l**3)*(2 - 2 - l) - 4*l + 4*l - 7*l**4.\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3302223323 - -100?\nAnswer: 3302223423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + sqrt(54) + sqrt(6))*-1 - sqrt(72)\/sqrt(3))\/((sqrt(98) - (sqrt(98) + -4*sqrt(98)))*4).\nAnswer: -sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2715487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -7.5. Put k, -3, -3\/8 in descending order.\nAnswer: -3\/8, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/21, 4\/7, 2350, -16\/3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 620, 5311, 18194, 43409, 85096, 147395, 234446?\n\"Answer: 690*z**3 - 44*z**2 - 7*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**2. Let j(h) be the third derivative of h**5\/5 - 8*h**2. Give g(j(x)).\nAnswer: -576*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 6 - 97*t**2 + 44*t**2 + 52*t**2.\nAnswer: -t**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978067267.\nAnswer: 31, 31550557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 725751 and 1053?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -244*r**4*u**2 - 9*r**2*u**2 - r*u**2 - r*u - 296 wrt r.\nAnswer: -2928*r**2*u**2 - 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 26*u**2 - 15*u + 3. What is the tens digit of x(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 18*r**3 - 11*r**2 + 11*r - 4. Let n(p) = 6*p - 2 + 1476*p**3 - 737*p**3 - 6*p**2 - 730*p**3. Give -11*n(j) + 6*q(j).\nAnswer: 9*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(1404\/1053).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**6\/40 + l**5\/10 - l**4\/8 + 10*l**2. Factor h(v).\nAnswer: -3*v*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 + 132. Let w = -65 + z. What is the second derivative of 7*s**w - s**5 + 0*s**2 - 18*s + 0*s**2 wrt s?\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70702403.\nAnswer: 131, 539713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7 + 8 - (-13 - 1). Suppose 13*j = 8*j + a. Let f(m) = m**3 + 9*m**2 + 7*m - 4. Let v be f(-8). Which is greater: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5850\/(-1625) - 672\/30\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -30.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78432 and 249696.\nAnswer: 204001632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + -3 - (15 + -33 - -2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1674 - 1286.9. Let i = n + -436. Let w = 48.89999739 + i. What is w rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c0cb6 (base 14) in base 8?\nAnswer: -1611220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7\/2*l + 5\/2*l**2 + 3\/2 - 1\/2*l**3 = 0. Calculate l.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -10, -24, -44, -70, -102?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -17 - 4 - 12 - 5*a. Let y be g(-19). What is the units digit of (-9)\/(-12)*(y - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2125127116.99995465 - 2125127161. Let v = -44 - f. What is v rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/5, 9\/4, -2\/3, -5\/23, 0.1, -5, 4.83?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t + 28035 = 47*t. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from ovmmvoffmmooooofo.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 4*z**2 - 11*z - 10. Let d = -47 - -54. Let a be x(d). Is 61 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 571, 571, 565, 547, 511, 451?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011001111 (base 2) in base 4?\nAnswer: -23033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + -8 + (-49 - -5) + 175\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 184\/192) + (-78)\/(-5 - -31).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*(((2 + sqrt(1700)*2)*2)**2 - (sqrt(1700)*-1*-4 + 1*sqrt(1700) + -5)).\nAnswer: 540*sqrt(17) + 54445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*k - 18 = -113*k. Suppose 4*y + 48 = 3*j, -74 = -5*j + k*y + 17. Which is the closest to j? (a) 2 (b) -1\/2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r - 26*r = -28. Suppose -r*i = -4*i - 288. Is 24 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 721554, 721539, 721524, 721509, 721494?\nAnswer: 721479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 5. Let u = 11 - r. Let d = 5.4 - 5. Which is the closest to 2? (a) 1\/8 (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = 3*m + m. Let n = m + 60. Let f be 111\/n - (-6)\/(-21). Put 1, 2, f in decreasing order.\nAnswer: f, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*t + 11. Suppose -i + 17 = 4*u, 6 + 0 = -t*i. Is (-372)\/(-30)*u\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/31)\/t)\/(t\/(t*t**(-26)*t)*t) assuming t is positive.\nAnswer: t**(-839\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1048 and 3\/917?\nAnswer: 7336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*u**3 - 4*u + 4*u**2 - 5*u**2 + 5*u to h*u**2 + c + s*u**3 + m*u and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 66911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5\/2, -2\/35, 0.1, -0.17, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4 + 97*q**3\/7 - 171*q**2 + 1247*q\/7 - 22 = 0 for q.\nAnswer: -22, 1\/7, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**5 + 132561*u**4 + 62689*u**2 wrt u?\nAnswer: -60*u**2 + 3181464*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 plus -3564948677?\nAnswer: -3564948655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 28*p + 26.\nAnswer: 2*(p + 1)*(p + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**3\/3 + 2525*b**2\/3 + 276040*b\/3 - 11132720\/3 = 0. Calculate b.\nAnswer: -268, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/8)*v*v*v\/((v*(v**0\/v)\/v)\/v)*v)\/((v\/(v\/v**(-1)))\/v)**(-1\/18) assuming v is positive.\nAnswer: v**(397\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9013420 and 2080.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1df (base 16) to base 8\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**4\/6 + t - 10. Let z(u) = -11*u + 5. Determine n(z(d)).\nAnswer: 242*d**2 - 220*d + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 12:37 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 327144078 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1593, -8\/11, -0.4?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55950 + 337. Let r = z + 30913. What is r rounded to the nearest 1000?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 15\/(30\/(-32))*(-104)\/16.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 27*d**2 - 4. Let c be k(1). Let o(t) = -12 + c - 11 + t**2. Let u(a) = a**2. Calculate u(o(q)).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*j - 1. Let y be (24\/(-28))\/((-2 - -1)\/(-21)). Let d be (-76)\/y + 20\/(-90). Put j, d, -5 in descending order.\nAnswer: d, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -823870900 to the nearest one hundred thousand.\nAnswer: -823900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4410*-247.\nAnswer: 1089270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.95333 or 0.03?\nAnswer: 3.95333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*o**4 - 128*o**2 - 10 + o**4 + 128*o**2 wrt o?\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1839293 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + (3 + sqrt(931)*-2 + sqrt(931) - (5 + -2*sqrt(931))) + 0)**2.\nAnswer: 14*sqrt(19) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 233 = -0*o + o, -i = -o - 77. Let w be ((-2)\/3)\/((-13)\/i). Suppose -3*v - w*g + 1217 = g, 0 = 2*v - g - 820. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6540)\/6104*14\/20)\/(-33*(-1)\/(-2)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 6 - 3)*(2*s + 3*s - 3*s)*(31 - 29 + 33) + (0 + 3 + 0)*(-4*s - 4*s - 4*s) in the form j*s + q and give j.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(175) - (sqrt(63) + 1 - sqrt(7)).\nAnswer: -2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*l - 6*l. List the prime factors of 281 + l - 10\/25*5.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-27))\/(-6*2\/2).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 408 and 2713643?\nAnswer: 2713235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 43?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*12\/(-54) + (-236691)\/206388?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/6)\/((-1)\/(-105)). Suppose -q = -3*n - n + 3*o, 0 = 2*n - o - 70. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/1216 and (-765)\/120*(-18)\/7182.\nAnswer: 8512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8123, 32480, 73075, 129908?\nAnswer: 202979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 2*v + 1015. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5*r - 25, -18 = -3*i + 4*r - 0*r. Let g(k) = k**i + 5*k - 8*k + 7 - 29. Does 8 divide g(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/(-1845) - (-313)\/45?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.2, -1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*y + 4*y = 18, 0 = -h - 5*y + 23. What is the tens digit of 1*(-54)\/(h\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60 + 4*l**3 + 58 - 269 + 4*l + 31 to the form w + y*l**3 + v*l**2 + j*l and give w.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 266 = 257. Let s(x) = -105*x**2 + 3*x - 2. Let q be s(b). Are q and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -14*z**2. Let v(a) = -4*a**2 - 69*a. Let o(c) = -7*c**2 - 161*c. Let l(w) = 6*o(w) - 14*v(w). Calculate -3*h(j) - 2*l(j).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y - 135. Calculate o(32).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwggwwggnwwg. Give prob of picking 1 n and 3 w.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.022+9996\nAnswer: 9996.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-3) + 0 - (-29)\/29. Suppose b = 47*y - y - 54280. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 - 9*s - 10. Let p(t) = 29*t**3 + t**2 - 1. Let k be p(-1). Let o = k + 24. Is y(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27698353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**13*m**(2\/7)\/m)\/((m\/(m*m\/((m*m**(-2\/13))\/m)))\/m*m**(-2\/5)) assuming m is positive.\nAnswer: m**(6752\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 = 9*j - 354. Calculate the remainder when 99 is divided by j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 1304.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 7500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0.186331080239.\nAnswer: 3.186331080239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 777647 (base 8) to base 11\nAnswer: 169982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 415439472.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 850 and 136.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 30*j + 151. Let y be s(24). Solve 36 + 0 = 4*p - 4*d, 3*d + y = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 11 = 4. Let t be -2 + 4 - 48 - l. Let i = t - -74. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12728)\/111 + 114)*(-3)\/(-3 + 0)*2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -741 + 861. Let o = 20 + -11. Let y(s) = 2*s**2 - 13*s + 3. What is the lowest common multiple of w and y(o)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(5\/(-20) - (-18)\/40). Suppose -4*b + 46 = 3*t, 0 = f*t + 6*b - 7*b - 115. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16605888 divided by -4151472?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*b = -14, -l = -6*l - 4*b - 13. Let v = -1 - l. Suppose 0 = -f - 0*f + v. Solve -3 = j - 4*w, -f*j - 2 = -2*w - 18 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17365434 is divided by 3473068?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 235899.5 decades in months?\nAnswer: 28307940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - 190?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 150119 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61371 - 61370. Let w = -11 + 15. Suppose d = 5*h - 4*d + 15, -3*h = w*d + 9. Put i, -5, -4, h in increasing order.\nAnswer: -5, -4, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f = 89 + 37. Suppose -25 = -5*q, -f*k - q + 275 = -4*k. What is the greatest common factor of 70 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 3*b**2 - 270*b + 30. What is i(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 119505 or 0.06?\nAnswer: 119505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.5013 + 5.46. Let a = 2.9587 - j. Let u = 16\/65 - 498\/1495. What is the nearest to a in 0, u, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 172 + -131. Suppose -h*l + 53*l = 1608. Is 67 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.09 + 0.91. Let j = -11 + t. Which is the closest to 0.1? (a) j (b) -11 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1290 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/3 - 534*n**2 + 20392*n\/3 + 25216 = 0 for n.\nAnswer: -3, 16, 788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 278269 or 278270?\nAnswer: 278269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*p - z = 59*p + 3, -5*p + 2*z + 1 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12485.5 - 12486. Which is the third biggest value? (a) -0.6 (b) u (c) 1 (d) -7.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 1:53 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56675 and 44712041?\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*260\/(-1040).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 7*h**4 + 4 - 2*h**2 - 3 + h**3 - 6*h**4 as v*h + r*h**3 + d*h**4 + x*h**2 + j and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4 + 20*c**3 + 518*c**2 + 1768*c + 1656 = 0. Calculate c.\nAnswer: -9, -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 222102 and 66.\nAnswer: 2443122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 10*l**2 - 16*l + 14. Let b be j(1). Solve -5*i + 42 = -3*h, 13*h - b*h + 2*i + 8 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -546, -1087, -1628, -2169?\n\"Answer: -541*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 7*j**2 - 7*j - 7. Let r be p(5). Suppose 4*v - 13 = -1. Suppose -2*a - u = -r, u = -v*a + 6*u + 12. Solve a*q = -0 + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -4, 1\/87?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/7 + 842*d**3\/7 + 1692*d**2\/7.\nAnswer: -2*d**2*(d - 423)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/883 (b) 1 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 17 = -7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25 and 1.7.\nAnswer: 42.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/735 and -67\/1155.\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2158, -8643, -19444, -34555, -53970, -77683, -105688?\n\"Answer: y**3 - 2164*y**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 960699.6l?\nAnswer: 960699600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(18)*3 + 4)*-1.\nAnswer: 24 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1700) + 4))**2 + -1.\nAnswer: 1280*sqrt(17) + 27455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-one fifths of a milligram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50*(-206 + 198 + 57\/6 + -1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -5*n + 65. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, e: 2, j: 1, z: 1, u: 2, d: 7}. What is prob of sequence du?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/120 - (14550\/(-500) + 25). Factor 4*b - 3\/2*b**3 - 1\/2*b**p + 3*b**2 + 0.\nAnswer: -b*(b - 2)*(b + 1)*(b + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.4 - -4.4. Let n = 29 + -17.25. Let z = l + n. Round z to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -353 by -353.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/4, -5, 0.02, -0.08?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n. Let m(x) be the second derivative of 617*x**4\/6 - x**3\/6 + 123*x - 2. Determine m(l(w)).\nAnswer: 1234*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**8\/840 - k**5\/60 - 5*k**3\/6 + 7*k**2. Let z(n) be the first derivative of s(n). Find the second derivative of z(g) wrt g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**5\/2 + 3273*z**4 + 1777149*z**3 - 1783698*z**2 - 3554301*z\/2 + 1780425 = 0.\nAnswer: -1158, -1025, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2*v + 4*x, -2*x = 2*v + 1 + 17 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(((q\/(q\/q**(-4\/7))*q)\/q)\/q)*q*q**(-17\/2) assuming q is positive.\nAnswer: q**(-69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - v - 10. Let n be 2 + (4 + -2)\/v. Let q(k) be the second derivative of -k**4\/2 + k**3\/6 - k**2\/2 + 49045*k. Give q(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.09, 5\/3, 5, 3, 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 12 = -h, 0 = 3*b - h - 3 - 3. Solve 2*x = -b*x + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*i + 8320 = 8298, 4*k + 5*i = -44 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 240*z - 7200.\nAnswer: -2*(z - 60)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -331480433 - -576059362. Let c = t - 244579278.999739. Let l = -350 - c. What is l rounded to five decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/12)\/z)\/((z**(1\/4)*z)\/z))**20 assuming z is positive.\nAnswer: z**(-80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -31211 (base 7) in base 8?\nAnswer: -16744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -433733, -866938, -1300143, -1733348, -2166553, -2599758?\n\"Answer: -433205*n - 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 2 (b) 4 (c) -1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -350 + 352. Suppose 0 = -5*g - 30 + 180. Find the first derivative of 5 - 55*i**r + 25*i**2 + 8*i**4 + g*i**2 wrt i.\nAnswer: 32*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65960 and 22504?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -r + 896, 0*v + 2*r + 908 = -v. What is v rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/8 (b) 3 (c) -4260 (d) -0.016 (e) -1\/5 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(36\/30))\/(7\/21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u**2 + 5*u - 3. Let g(r) = 1. Calculate a(y) + 5*g(y).\nAnswer: -7*y**2 + 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15416 - -15417. Which is the closest to o? (a) -7 (b) 2 (c) -0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/83 != -252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**8\/32760 + 11*x**7\/32760 - x**6\/1560 - x**5\/5 - 9*x**2. Let o(m) be the third derivative of a(m). Factor o(j).\nAnswer: 2*(j + 3)*(4*j - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*t + 110*t = -1296 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/14*((-130)\/20)\/13.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 13, 8, -13, -56, -127, -232, -377?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 0.5 (c) -2\/9 (d) -88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 51 + 3 = 0. Let a be ((-1)\/2)\/(6\/c). Is a > -1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 2*i - 5 = -3*i, 0 = 5*p - i - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**2 + 67833*i - 1084560 = 0?\nAnswer: 16, 22595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + (sqrt(1700) - (sqrt(1700)*3 - sqrt(1700))) + -5)**2.\nAnswer: 100*sqrt(17) + 1720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 0.1, 6251104, 5\/3, 0.14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7820 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 18*v**2 - 266*v + 134. Give w(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -25. Suppose -3*x + 2*n + 9 + 1 = 0, -3*x + n + 14 = k. Let u(z) = z**2 - 9*z + 21. Let l be u(x). Solve 0 = o + 2*o + l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -76.9 and 53188.\nAnswer: 53111.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22100 (base 3) to base 14.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 3*b + 4*d, 3*d = 0. Suppose -3*g + 2 = -2*j, b = j - 2 + 3. Factor -1\/5*i**3 + g + 2\/5*i**2 - 1\/5*i.\nAnswer: -i*(i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3351833.61 rounded to the nearest one thousand?\nAnswer: -3352000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (4\/6)\/((-6)\/(-54)). Is n <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008071 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 394*b**2 - 2 - b - 13*b**3 - 785*b**2 + 0 + 390*b**2 in the form a + i*b**3 + t*b + j*b**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j**3 + 3568*j**2 - 22*j + 10. Let q(c) = -2*c**3 + 892*c**2 - 5*c + 2. Give 9*q(i) - 2*r(i).\nAnswer: -2*i**3 + 892*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180 - 180 + 2*h + h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 358589209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104936 and 3640.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + 0 - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -11526025*l**3 - 13580*l + 3395. Let g(x) = 13576*x**3 + 16*x - 4. Give 4*c(z) + 3395*g(z).\nAnswer: -13580*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8322*j**2 - 108184*j - 32. Determine b(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1979 + 2072. What is the remainder when l is divided by 83?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 156216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 8 - 0. Let w(c) = 2*c - 1. Let n be w(2). Put 5, n, b in ascending order.\nAnswer: b, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1181\/1814 or 2?\nAnswer: 1181\/1814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 3*g**5\/20 - g**2 + 2*g + 4. Let i(d) be the first derivative of s(d). What is the first derivative of i(l) wrt l?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 32*l**2 + 1.\nAnswer: 32*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2 - 162*h - 160 = 0.\nAnswer: -80, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10101011000011 (base 2) to base 12\nAnswer: 6403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 722667467 to the power of 1\/3, to the nearest integer?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58.14 + -57. What is f rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136 divided by -4\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*(x\/((x\/(x*x\/(x\/x**(-3\/5))*x))\/x))\/x))\/x)**37\/((x\/x**5)\/x*x*x**(-12)) assuming x is positive.\nAnswer: x**(-364\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbwbwwbzkwzwkbazwww. Give prob of sequence zkwk.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*d**3*p**3 - 83*d**2*p**2 - d**2*p + 2*p**3 wrt d?\nAnswer: 354*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*w - 462181 + 462153 + 81*w to k*w + t and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 5, h: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -45092, -45092, -45090, -45086, -45080?\n\"Answer: t**2 - 3*t - 45090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1598 - 1907.6. Let q = c - -355. What is q rounded to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-31)\/o*o**(24\/5)\/o*(o**(-20)\/o)**(-36))**44 assuming o is positive.\nAnswer: o**(160116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 882*x + 1035 = 813*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*g - 12128 = 0, -17*b - 3*g - 4847 = -19*b. Round b to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + n - 63 + 16 = 0, -g - 2*n + 51 = 0. What is the remainder when g is divided by 2\/7 - 309\/(-21)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -39022, -38979, -38934, -38887?\n\"Answer: j**2 + 40*j - 39063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -1)*3*-1. Suppose m - 4*m + d*y = -12, -2*y = 2*m. Is 43\/m - 1\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4313 (base 8) in base 10?\nAnswer: -2251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 536977 and 62171459?\nAnswer: 13097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d = 37*d - 25. Suppose 0 = -d*c + 10*c - 4*f + 348, -2*c - 142 = -3*f. Find the common denominator of (c\/5)\/(81\/(-15)) and 50\/21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.545069 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 481 + 4 - (-6 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r**2 - 3*r. Let d(w) = 13*w**2 - 5*w. Let z(t) = 5*c(t) - 3*d(t). Let h be (3 - 9)\/3*-1. Let a(b) = 2 + 2*b - h + 0. Give a(z(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f. Let p be b(7). Let t = -12 + p. Let m(h) = h**3 + 5*h**2 - 2*h + 2. What are the prime factors of m(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -j - 3*j. Let m(l) = l**3 + 7*l**2 - 4. What is the units digit of m(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a kilometer in meters?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 4. Suppose n = 3*c + 57 - 240. Let t = -41 + c. Calculate the remainder when 39 is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1895026540 - 216*r**2 - 1895026540.\nAnswer: -216*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -14*a - 39. Determine x(-8).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1130, -1360, -1590, -1820, -2050?\n\"Answer: -230*w - 900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.609 - -2.169. Let z = -2.3 - -2.2. Which is bigger: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.28 - -7.08. Let x = -6.941 - 0.059. Let l = x + d. Put -1\/4, l, -5 in ascending order.\nAnswer: -5, -1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/11 + 114*o\/11.\nAnswer: -2*o*(o - 57)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 87*z + 6. Let c be u(15). Suppose h = 3*j + 3*h - c, j = -4*h + 427. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 17. Calculate the greatest common divisor of 7 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 20*g**2 + 5. Is c(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1593 + 1593. Which is the nearest to -0.1? (a) -1\/4 (b) 2.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59\/(1180\/240))\/((18\/4)\/(-3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/5 - 1042783184*i\/5 + 135924596104147232\/5.\nAnswer: 2*(i - 260695796)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 - -53. Solve -2 = v + 3*h, 2*h + z = 2*v - 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6817, 6690, 6563?\nAnswer: 6436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -1 - (992\/(-432) - -3)*6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4566282 is divided by 133?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -119.5 in -3, -5, 47?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 34*a + 242, 557 = 2*j - 3*a + 528 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -615548 - -23?\nAnswer: -615525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -257.33294 - -256.2279933. Let j = -1.105 - f. Round j to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1432594\/99485 + -2\/19897. Is 16 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 2. Let o be j(5). Suppose -2*h + 3*d = 25, 2*h + o*d + 7 = -0. Let u = 41 + h. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 86348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q**2 + 3*q + 4. What is the remainder when t(-2) is divided by (-1)\/(-1) + -1 - -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 32\/15*w**5 + 74\/3*w**3 + 62\/15*w**2 - 38\/5*w + 208\/15*w**4 + 6\/5 = 0.\nAnswer: -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -178881724*q**2*u - 72731686*q**2 wrt u.\nAnswer: -178881724*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 11:19 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*k + 9*k**2 + 48*k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -161 - -168. Find the common denominator of -68\/55 and 243\/30 - (z - 8).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248\/240*(-2475)\/(-195)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**6\/60 + n**5\/60 + n**3\/6 - 10*n**2. Let k be w(0). What is the tens digit of (-3 - -98)\/k - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhz when three letters picked without replacement from {d: 2, z: 1, v: 3, h: 5, b: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34133 (base 9) in base 2?\nAnswer: 101100010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 4*u + 1. Let o be x(-4). Let c be (1\/2)\/(3\/(-30)). Let v = o + c. Sort 5, -1, v in decreasing order.\nAnswer: 5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from cccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/((-120)\/64) - (5 + -2). Solve -r + 2*f + 6 = -0*f, w*r - 2*f = 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 6*v**2 - 17*v - 14. Let k be b(-4). Let l(z) = -z**2 + 30*z + 26. What are the prime factors of l(k)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -241 + -143?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 10:06 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1824, -2808, -3804, -4818, -5856, -6924?\nAnswer: -8028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*c + 318*c - 16*c + 6210 = 0 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*o**3 - 4*o**3 - 58*o**3 + (-2*o - 1 + 1)*(2*o**2 + 3*o - 3*o))*(2*o**2 - 5*o**2 + 2*o**2).\nAnswer: 78*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*y = -163*y + 65*y + 75. Let s = 149\/30 + -25\/6. Let j = 3\/2 + -2. Which is the third smallest value? (a) s (b) 2 (c) y (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**4\/24 + 4*v**2. Let y(c) = -2*c**2. Give y(h(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -54, -43, -26, -3?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003537318 to six dps.\nAnswer: 0.003537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 56 + 4. Let u(f) = -7*f + 5. Let p(m) = -13*m - 6*m + 8 + 10*m. Let g(o) = o - 1. Let w(h) = -6*g(h) - p(h). What is y*w(d) + 6*u(d)?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22200112212 + -1?\nAnswer: -22200112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) -0.7 (c) 24 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 16573 times 0.33\nAnswer: 5469.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 525*v + 1249*v**2 + 514*v + 26 - 998*v + 5054*v**2 wrt v.\nAnswer: 12606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.19? (a) -4 (b) 48 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1903594 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((72\/(-16))\/9)\/((-18)\/4).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 1\/165*a**6 + 1\/11*a**3 + 0*a**2 - 3*a - 5\/66*a**4 + 0 + 1\/110*a**5. Factor z(m).\nAnswer: 2*m*(m - 1)**2*(m + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276804967583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 220, 448, 676, 904?\n\"Answer: 228*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*x - 51*x + 4*m = 9, 0 = 3*x - m + 12. Let b(y) = -2*y - 11. Calculate b(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -9*r - 2. Let f(q) = q**2 + 13*q + 2. Calculate 2*f(g) + 3*t(g).\nAnswer: 2*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4266, 8602, 12938, 17274?\nAnswer: 21610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45761 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1\/3 (c) 53.666 (d) 1\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 4:33 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32 + 9*h + 32)*(-19 - 35 + 17) in the form v + f*h and give f.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.011649 from 0.1.\nAnswer: 0.111649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*p**2 + 12151970*p + 8101316.\nAnswer: -2*(p - 2025329)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -7\/3 (c) 2\/9 (d) -4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**2\/3 - 14*n + 40\/3 = 0.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(o**4 + 167 + o**4 - 141).\nAnswer: -4*o**4 - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*b**4 + 95230*b**3 + 50959000*b**2 + 608939680*b + 132804480 = 0. Calculate b.\nAnswer: -1052, -12, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1622 + 1631. Solve a*m + 30 - 57 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 469594007\/92 - 5104223. Let d = -239\/4 + g. Is 1 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 - -96. Suppose 2*k - w = -2*l + 9, 0 = 5*k - 4*l - 143. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -253 or -254?\nAnswer: -254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*a - 14*a = -13*a - 5208 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 2*d = 9360. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6630951.\nAnswer: 3, 59, 37463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - (197 - 177 - (9 + -1)) - (3 + -3)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 17 - 107 = -3*m, 43 = m - 4*j. Suppose 0 = -m*l + 37*l. Factor 0*b - 2\/11*b**4 + 0*b**2 + l - 2\/11*b**3.\nAnswer: -2*b**3*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-18)*(23128\/26019 + 394\/(-18))\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (103 - (-73 - -136)) + 52?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgq when three letters picked without replacement from {g: 1, q: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 0*u**2 + u**2)*(-2 + 7 - 3)*(98 - 64 - 76).\nAnswer: 84*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 4*d + 3*d + 0*d.\nAnswer: -d - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 841 + -835. Let w(f) be the first derivative of 4 + 0*f**2 + 0*f**3 + 0*f**4 + 3\/5*f**5 - n*f. Differentiate w(j) with respect to j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 18. Let y be -1 + 2\/k - (-4)\/4. Let w(t) = -t - 8. Let q be w(-6). Which is the second biggest value? (a) q (b) y (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2)*(5\/(-8))\/((-196)\/224)\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -127239426 and 2.\nAnswer: -127239424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (11\/13 - 1). Let k = 181\/4 + -45. Let y = 3 + -4. What is the closest to k in s, y, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32042 and 2.13?\nAnswer: -68249.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + sqrt(121) + (2*(-2*sqrt(121) - sqrt(121)) - sqrt(121) - sqrt(121)) + -6*-3*sqrt(121))\/(6*1*(sqrt(891)*1 + sqrt(891))).\nAnswer: sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 795.9879 kilograms to nanograms.\nAnswer: 795987900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*g - 74*g + 38220. Round g to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**6\/30 - t**5\/15 - t**4\/3 + 16*t**2. Factor a(r).\nAnswer: 4*r*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 9*r - 6. Suppose 4*c + 2*f = 18, 2*c = 3*c + 3*f - 7. Calculate the least common multiple of i(c) and 14.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 978 - 976. Let n(p) be the first derivative of 8 - 1\/40*p**4 + 1\/50*p**5 + 0*p + 0*p**x + 0*p**3. Factor n(b).\nAnswer: b**3*(b - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 24 - 16. Suppose -6778 = -13*y - 6063. What is the remainder when y is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*c + 11 - 11)*(-21 + 21 + 4*c + (0 + 0 + c)*(2 - 3 - 1) + c + 2*c - 2*c - c - c + 4*c).\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 100. Let i = t + -78. Put i, 1\/8, 5, 3 in increasing order.\nAnswer: i, 1\/8, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43215 (base 7) to base 4.\nAnswer: -2213313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 955 - 969 = 0. Let y(q) = -13*q. Give y(h).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60*7\/(-69440))\/(6\/16)?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 662 - 566 = f. What is the greatest common factor of 36 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**3 - 3*s**3 - 2*s**3)*(-44 + 44 - 8*s**2).\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 740980 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6*z - 4)*(-14 - 1 + 36 + 2 + 0 - 4 + 3 + 0 - 4 - 1 + 1 + 2 + (-2 + 1 - 1)*(-1 + 1 + 1)) to the form k + i*z and give i.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 146\/((-94)\/(-2068)*-44).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 10:39 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1908.5 + 1907. What is the nearest to 0 in 0.5, o, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**3*j*z**4 + 2*a**3*j*z**2 - 99*a**3*j - 3*a**2 + 16*a*z**4 - 2*j*z**3 + 2*j*z wrt z.\nAnswer: 24*a**3*j*z + 384*a*z - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111733406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -304*h**4 - 2*h**3 + 13*h - 26?\nAnswer: -3648*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 685068 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htcbyycm. What is prob of sequence by?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5597 + -8615. Let b(s) = 1421*s - 4. Let q be b(3). Let n = q + g. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**2 - 3*s**2 - s**5 + (4*s**4 - 5*s**4 + 6*s**4)*(4*s - 5*s + 3*s) + (-4*s + 4*s - s**4)*(-17 + 6*s + 17) - 4*s**3 - 2*s**5 + 5 - 5.\nAnswer: s**5 - 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*((v*(v\/(v\/v**18))\/v)\/v)\/v*v*v*v)\/v)\/v)\/v*v\/v**(-5\/12) assuming v is positive.\nAnswer: v**(233\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 + 95. Suppose 3*y - 4*r - 13 + 3 = 0, -3*r + 7 = 5*y. Sort -4, y, s, 0 in increasing order.\nAnswer: -4, s, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 6*y + 30. Let x(t) be the second derivative of t**4\/12 + 2*t**3\/3 - 15*t**2\/2 + 90*t. Let q(u) = 3*k(u) + 7*x(u). Calculate q(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + -1 - sqrt(2) - (sqrt(2) - -1*sqrt(2)*4).\nAnswer: -1 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25.394 + -55693200.1.\nAnswer: -55693174.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 11*u - 6. Suppose c = -g - 8, 5*c - 4*g + 48 = -28. Let z be w(c). Calculate the greatest common factor of z and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 5) in base 14?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 < 208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*l**2 + 2\/3*l**3 + 0 - 10\/9*l + 1\/9*l**4.\nAnswer: l*(l - 1)*(l + 2)*(l + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1662642 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 17*v + 8. Let l be x(0). Suppose 4*k = -4*m + 60, 4*m + 6 = 5*k - 24. Let b = l + k. Calculate the highest common divisor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = n + 27, 0 = n + 3*n + 12. Suppose -7 - i = -y. Calculate the greatest common factor of 60 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -74531?\nAnswer: -9\/74531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7460, -2\/13, -4, -0.4 in descending order.\nAnswer: -2\/13, -0.4, -4, -7460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 5319?\nAnswer: 5319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 16*h**3 - 5*h**2 - 8*h + 18. Let n be a(8). Let r = 125261\/16 - n. Calculate the common denominator of 41\/112 and r.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0\/a)\/((a*a**(-4\/5)*a*a)\/a))\/(a**1)**(28\/3))**(2\/53) assuming a is positive.\nAnswer: a**(-346\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3686 and 171?\nAnswer: 33174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*c - 1510, -5*a + a - 4*c + 1204 = 0. Find the common denominator of -40\/3 and (2 - 0) + (-187)\/a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 38*d + 1. Calculate b(1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2686*y**2 + 3*y - 3. Let v(k) = 12*k**2 + 2*k - 1. Calculate 3*v(s) - w(s).\nAnswer: -2650*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(112) + sqrt(7) + sqrt(7))**2 + sqrt(7) - (sqrt(84) - ((sqrt(84) - sqrt(84)*-1) + sqrt(84)))\/sqrt(12).\nAnswer: 15*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -155*c**2 + 10 + 155*c**2 - 3*c**3 + 0*c**3. Let z(y) = -4*y. Calculate m(z(l)).\nAnswer: -144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8\/((360\/(-134205))\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 5*g**3\/3 - 2*g**2 + 728*g + 744. Differentiate m(z) wrt z.\nAnswer: 10*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 - 9*z**3 - 9*z**3 - z**3.\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4235359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 270280072471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 16) to base 8\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-8 + 5 - 7)*(-28*k - 25*k + 9*k).\nAnswer: 440*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2409)\/(-134904))\/((-2)\/21)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/43074 and 43\/47912646.\nAnswer: 143737938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40082542.\nAnswer: 2, 1039, 19289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 3*a - a)*(21*a + 106 + 7*a - 12*a - 98).\nAnswer: -32*a**2 - 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1343 (base 11) to base 16\nAnswer: 6cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*j + 57*j - 24*j**2 as r + o*j**2 + l*j and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -126. Let q = d + -21. List the prime factors of q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjn when four letters picked without replacement from {j: 2, n: 1, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/6 - -5)\/(8 - 7).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - y + 1 + 6*y)*(-1 + 0 + 2)*(4 + 1 - 3) - 10*y - 8*y + 4*y.\nAnswer: -10*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4816\/3*n - 2\/3*n**2 - 2899232\/3 = 0.\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 118.8 + -107. Let n = -12 + s. Let t = -0.2 - -4.2. Which is the closest to -1? (a) n (b) t (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17193.\nAnswer: 3, 11, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 78, 101, 108, 93, 50, -27, -144?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15184189 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2. Let i(q) = -698*q + 19. Calculate i(h(r)).\nAnswer: -2094*r**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b. Let t(h) = h**2 + 7*h - 6. Let m = -11 - -2. Let q be t(m). Let j(k) = -12 + 3*k + q. Calculate l(j(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/5 + 6\/10. Which is the nearest to -0.1? (a) -2\/7 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3489, 3475, 3461, 3447, 3433?\nAnswer: 3419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*q**3*t**2 - 11*q**3 + q**2*t**2 - 11*q**2*t + 547*q*t + q - 107*t**2 wrt t?\nAnswer: 28*q**3 + 2*q**2 - 214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j = 10, -3*w - 16 = 5*j. Let k be (3*w - -2)*-3. Suppose k + 8 = -4*h. Which is the second biggest value? (a) -2\/17 (b) -6 (c) h (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 36 + 12 = 0. Let x(j) = -8*j - 6. Let q(k) = 8*k + 6. Let v(i) = -5*q(i) - 4*x(i). Is v(c) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -o - 192. Let w be 3\/(-9) + o\/9. Suppose -2*z - 2*l + 10 = 0, 3*z = w*l - 3*l + 30. Solve -3*h - 2*x + 4 = h, z = 5*h + 4*x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*z**2 + 8*z**2 + 2*z**2 + 1)*((-2 + 1 + 0)*(1 + 0 - 3) + (-3 + 2 + 2)*(2 - 1 - 2)).\nAnswer: 20*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -93 - 135. Suppose -5*p = -7*p + b. Let c = p - 1. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (25 + -24)\/((-7 - -3)\/(-3580)) is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brk when three letters picked without replacement from {o: 7, k: 3, j: 3, r: 1, s: 2, b: 2}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*p - 5*v, -6 - 4 = 3*p + 2*v. Solve p = t + 4 - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16705854 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 7:18 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 455.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 5 = 10*s. Suppose 116 = -s*w + w. Let f = 29 + w. Does 10\/7 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/7 and 21\/46.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2788132075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*f + 49*f + 72 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 729, 1450, 2167, 2880, 3589, 4294?\n\"Answer: -2*w**2 + 727*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9450 + 9450. Solve i = -15*b + 43*b + 140 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.592 + -81143.8132?\nAnswer: -81126.2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttvtvttvttt. Give prob of picking 2 v and 1 t.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3194*o + 7. Let t(w) = -379*w. Determine q(t(l)).\nAnswer: 1210526*l + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 = -2*l, 4*q + 2*l + 13 - 17 = 0. Which is the fourth biggest value? (a) 2 (b) 85 (c) q (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/5 (b) -13 (c) 2 (d) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 14, -49, 16.\nAnswer: -49, -4, 0, 14, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 660 and 18120?\nAnswer: 199320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1518412542 to the nearest integer?\nAnswer: 38967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 3012, -56, 0.2, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 0.456369.\nAnswer: -0.656369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, -5, 18 in descending order.\nAnswer: 18, 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -44095 (base 16) in base 12?\nAnswer: -115331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7*f - 12 = 2*p, 4 = -2*f. Let r be 3 - ((-1)\/p)\/((-3)\/6). Solve 4 = r*m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 9*s**2 + 2*s + 22. What is the lowest common multiple of 3 and u(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3101330132 (base 4) to base 8\nAnswer: -3217436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 11*g**2 + 9*g - 154. What is the least common multiple of 684 and x(10)?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let l = -9.4 + 9. Let r = l - -0.8. What is the smallest value in m, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*p + 2*p - 8, 0 = 5*t + 5*p - 35. Let z be (-36)\/54 + 34\/t. Sort 0, 4, z.\nAnswer: 0, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*b = -2*b - 64 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3 + 17. Let n = u + 12. Solve -4*k - n = -13 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 50896 (b) -2\/5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 7:53 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -2\/3, -2\/15, -13, 8\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 15) in base 16?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 6:31 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -553, -1762, -3767, -6562, -10141, -14498?\n\"Answer: k**3 - 404*k**2 - 4*k - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 396 + -395.999789. Round v to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*n**2 + 12*n**2 - 224*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3 + 3*i**2 - 1441*i - 14883 = 0. Calculate i.\nAnswer: -33, -11, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 94 = -y + 5*y, -18 = j - 4*y. Let k = -17 - j. What is the highest common factor of k and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-69)*(-14)\/56?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 347 divided by -1?\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 f, and 1 g when three letters picked without replacement from {f: 1, j: 1, e: 3, z: 1, g: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -5050?\nAnswer: -2\/2525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**2 - 41*h - 36. Let d(y) = y**2 + 8*y + 7. Let k(s) = -11*d(s) - 2*l(s). Let j be k(-5). Let x = j + 4. Solve 0 = -2*b + x*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1451600 divided by 3800.\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48981 or -49018?\nAnswer: -49018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times 347894?\nAnswer: -6262092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-304))\/(1128\/192). What is the fifth smallest value in p, 3, 1\/3, 0.4, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -381?\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 233 + -224. Suppose -54 = r*i - 36*i. Solve 5*u - 3*u - k = -i, 6 = -2*u + 3*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 152*u + 1289. Is 21 a factor of v(94)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-1 + 63 + 127 + -140)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1010 and -917300.67?\nAnswer: 916290.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 314928 divided by 6\nAnswer: 52488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.08 - -2.0717. Round j to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c + 3. Let v = -6 - -2. List the prime factors of l(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 - ((-37 - (-16 - (16 + -12))) + 0)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 + 21*q**2 + 11*q + 10. Let r be h(-10). Let i(g) = g**2 - 7. What is i(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 6513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = u + 17, -u = i + 7 + 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 0*x - 1\/60*x**5 + 0*x**3 + 0*x**4 + 1\/8*x**6 + 0 + 5*x**2. Find the third derivative of v(u) wrt u.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 2. Let k be o(-7). Suppose -3*l - 4*f + k = 0, -5 = -2*f + f. What is the greatest common factor of 27 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*s**2 - 3*s + 49*s**2 + 3*s.\nAnswer: 95*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3685, -14750, -33201, -59044, -92285?\nAnswer: -132930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7399, 2\/5, 0 in decreasing order.\nAnswer: 7399, 3, 2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4774 divided by 4.\nAnswer: 2387\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xccxxccc. What is prob of picking 3 x?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-2772)\/(-105)) + (-5676)\/13392.\nAnswer: -2\/279","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - o - 1)*(4*o**2 + 4*o**2 - 3*o**2) + (688*o**2 + 565*o**2 - 328*o**2)*(4*o + 0*o - 6*o) in the form r + c*o**3 + s*o**2 + d*o and give c.\nAnswer: -1855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 3. Let k be d(5). Let v = -9 + 19. Suppose -4*b + v = -k*b. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122492 is divided by 2916?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -78. Let a = j - 28. Sort -2, a, 0.3 in descending order.\nAnswer: 0.3, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542678805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 6*p**2 - 5*p + 3. Let q be b(4). Suppose q = 3*r + 2*r. What is a in -6*a**3 + 2 + 2*a**3 - r*a + 3*a**3 + 6*a = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67282 - -25469.6?\nAnswer: -41812.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.11, -108, 3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/2*8\/12. Let y be m\/2*(-3 + -3). Find the second derivative of -6*q**3 + 3*q**y + 4*q**3 - 4*q + q wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m + 5 = -27. Is m bigger than 1\/685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26186 by -322.\nAnswer: -13093\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18137672 + 8?\nAnswer: -18137665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 20 = -22. Let j be (-2 - g)\/(1\/(-26)). Suppose j*w + 3 = 29*w. Sort 0, w, -6 in ascending order.\nAnswer: -6, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 627 = 5*m. Find the second derivative of 165 + 37*k**5 + 34*k - m - 53 - 58 wrt k.\nAnswer: 740*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5653653*o*q**5 - o*q**2 + 1631*o*q + 30*o + 4*q**2 + 2*q wrt q.\nAnswer: -339219180*o*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -795713, -795877, -796307, -797135, -798493, -800513, -803327, -807067?\nAnswer: -811865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 25 - 6 = 2*g, -3*w = -3*g + 15. What is the remainder when 48\/g - (0 + -1) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133 + 264 - 357*g - 131 + 393*g.\nAnswer: 36*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3 - 7. Let v(a) = -4*a**2 + a**s - 2 + 2*a**2 + a. Give v(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*m + 0 + 1\/4*m**2 = 0. What is m?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32 and -13.155017812?\nAnswer: 45.155017812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/9493 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 1445 + 463 = -3*o, 0 = 5*f - 3*o - 3178. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288794970.\nAnswer: 2, 3, 5, 59, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*x + 3*x**2 - 40*x + 10*x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 40*p**2 - 33*p + 402. Give i(-41).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 366 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a**5 - 160332*a**4 - 1731549*a**3 + 2320182*a**2 - 428328*a = 0. Calculate a.\nAnswer: -12, 0, 2\/9, 1, 5949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3653.\nAnswer: 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 407 - 404. Find the second derivative of c - 3*w**4 + 71*w**5 - 53*w**5 - 20*w + 3*w**4 wrt w.\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 12*a**2 + 2*a + 25. Let t be f(-12). Is -1\/84 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 14*c**2 - 3*c + 3. Let l be b(9). What is l rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18\/25 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, u: 3, x: 11, j: 1}. Give prob of picking 1 p and 1 j.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47315 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: What are the prime factors of 8562?\nAnswer: 2, 3, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -206 (b) 0 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3074 and 424?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657457229?\nAnswer: 11, 13, 43, 106921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*t + 0*t - t)*(3*t**4 - t**4 - 3*t**4) + 7*t**5 - 2*t**5 - 3*t**5)*(-2 + 3 - 3) + (0 + 0 + 2*t**4)*(0*t + 5*t - 3*t).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 167431626 and -0.41.\nAnswer: 167431625.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 395*n**2 + 7020*n.\nAnswer: 5*n*(n + 27)*(n + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/12 and -29\/64691502?\nAnswer: 129383004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + 15)*72\/16?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 41*r - 726. Calculate i(17).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 15 - (-97 + -43 - -86).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 3066*s + 1017064. Determine u(302).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-2)\/(-10))\/(((-11571)\/145)\/19)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 27*h + 78 = 0. Solve -2*n + 4 = n + 5*l, h*n + l = 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*342\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 18*v - 72. Let o be t(14). Suppose -88 = -0*j - 2*j + 3*u, 2*j - 104 = -u. Suppose 5*x - o = j. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8639531.\nAnswer: 8639531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 68\/18 + (-6)\/(-27). Suppose j*t + 8 = 5*s - 3, -t + s - 2 = 0. Let h(c) = 5*c**3 + 2*c - 1. Give h(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 - 3*l + 4. Let z(h) be the first derivative of 5*h - 2*h**2 - 2\/3*h**3 + 144. Determine 3*a(j) - 2*z(j).\nAnswer: -2*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 19*b - 1. Let g(r) = 96*r - 588. Calculate -3*g(p) + 15*n(p).\nAnswer: -3*p + 1749","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + sqrt(1100) + (sqrt(44)\/(sqrt(4) + sqrt(32)\/sqrt(8) - sqrt(4))*6)**2.\nAnswer: 10*sqrt(11) + 398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 19*k**2. Let h(l) = -7*l**2 - 4*l + 12. Let a(o) = 13*o**2 + 7*o - 21. Let j(y) = -4*a(y) - 7*h(y). Determine j(z(s)).\nAnswer: -1083*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7e58 (base 15) to base 8\nAnswer: -64352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = p + 24. Let t = -2 - p. Suppose 4*d = t*h - 24, -6*h + 4*d + 27 = -h. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 23*l**2 + 2*l + 3. Let t(k) = 48*k**2 + 5*k + 6. Give -5*b(y) + 2*t(y).\nAnswer: -19*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/6)\/((-12)\/54). Let h(m) = -m**2 - 2 - 2*m + d*m - 2*m. Calculate h(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-26) + (-5 - 4039\/(-819)). Which is the nearest to 0.1? (a) 1\/15 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, c: 1, u: 3}. Give prob of sequence puuc.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 98684 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 prob of picking 1 k and 1 v when two letters picked without replacement from {v: 1, k: 1, t: 1, b: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4873242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 124*y + 871. Let k be c(-7). Let i be (2\/2)\/((-3)\/(-9)). Suppose 5*h = -0*h - 4*w - 13, i*h - 4*w = 5. Put k, -3, h in decreasing order.\nAnswer: k, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 43, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -146*f + 150. Put 1, -3, f, 599 in decreasing order.\nAnswer: 599, 1, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 11:56 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 63294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b. Let j be n(2). Let c(z) = 2*z**2 - 8*z - 4. Let y be c(j). Is 29 a factor of 416\/y*(-10)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.83, 0.1, -1\/17, -1\/3, -1\/4, -0.5?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 50.329\nAnswer: -25.1645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449896342.\nAnswer: 2, 7, 733, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d = -17*d - 829 - 391 + 120 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/7 (b) 1 (c) 2\/189 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30749 + 30760. Solve m*v = -16*v - 162 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77.2 - 77. What is the second biggest value in -2, l, 9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1107 + 1921. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t. Let m(o) = o + 5. Let q be m(0). Let j(d) = d - 6. Let i be j(q). Let h be y(i). Solve -p + 5*g = 5, -h*p + g = 3*p + 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 375\/184 - 17\/8. Let t = 0.09 + -0.09. Which is the nearest to t? (a) w (b) 1\/2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - q - 4. Let j be b(3). What is the remainder when 66 is divided by (-4)\/(-6)*(31 + j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 9:18 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 39119dc?\nAnswer: 39119dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + 4*i - 2*i)*(-446 + 22*i + 446 + (3*i - 3*i + i)*(2 - 3 + 2)) to t*i**2 + p*i + d and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 3*n + 0*n)*(-5*n**3 + 3*n**3 + 3*n**3) + (59*n + 4 - 4)*(2*n - 2*n + 3*n**3) to x*n**2 + p*n + v*n**3 + i*n**4 + z and give i.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 900218.37 + 2387\nAnswer: 902605.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36793032 divided by 270537.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 211\/70 - -2\/7. Is u at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + -2)**2*1.\nAnswer: -32*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -0.17, 25.5?\nAnswer: 25.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.71 - -0.8. Let y = -7.09 + w. What is the third biggest value in 0, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000554856234 rounded to 7 dps?\nAnswer: -0.0005549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from ppvpdppsdpvpppwpdsp?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*d - 116*d + 23 = 11*s - 10*s + 114*d, d - 2 = 0 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/80)\/(10\/300)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -892 by 9.\nAnswer: -892\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 - 79*j**2 + 163*j + 818. Determine r(37).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2045 - 1213. Calculate the highest common divisor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.85 - -8.65. Which is the closest to 2? (a) 0.2 (b) r (c) -4\/5 (d) 9\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -875.\nAnswer: 6\/875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9 - ((-341)\/55 + -2). Let h(g) = g**3 + 8*g**2 + g + 11. Let w be h(-8). Which is the closest to -2? (a) w (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 6:23 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**5\/10 + 17*y**3\/6 + 59*y**2\/2 + 41*y - 1. What is the derivative of z(n) wrt n?\nAnswer: -6*n**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 5*d - 46. Let w be z(5). Solve m - w*h - 5 = 0, 3*m + 11 = 2*m - 4*h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21618*f**2 + 33246*f wrt f?\nAnswer: 43236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(133) - (3*sqrt(133)*-3 + sqrt(133))))\/((5*(-4*sqrt(84) - sqrt(84)))\/sqrt(12)).\nAnswer: 54*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5006 divided by 11\nAnswer: -5006\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*p - 1 + 1)*(3*p - 2*p + p)*(39 + 10*p - 39) to k*p + h*p**3 + b*p**2 + q and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 159 = 3*o - 4, 5*u + 2*o = 416. Let m be u\/6 + (-1)\/(-3). Suppose 2*h = 2 + m. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1247, -1, -4 in decreasing order.\nAnswer: 1247, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -8034 at most -8034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from jjs?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-10)*(-2)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/3)\/((-12)\/(-20)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2138, 4 in descending order.\nAnswer: 2138, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99619*s - 6*s**2 - 99619*s + 2*s**3 + 6*s**2.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-7) - (-48)\/(-21). Let z be d\/12 + 3\/18. Let p be (30\/(-24))\/((-2)\/8 + z). What is the third smallest value in -5, p, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -3*l, -j + 4*l = -5*j - 40 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 0.1. Let n = 0.8 + w. Let x be (12\/10 - 1)*(-15)\/(-2). Which is the second biggest value? (a) -1 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -8 - 39 - (-104 - -85)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11650*n**3 + 3485 - 9741*n**3 + 1808 wrt n.\nAnswer: 5727*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u. Let c be j(2). Factor -y**3 - y - y**2 + 0*y**2 - 3*y**2 + 2*y**c.\nAnswer: -y*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 11 + (-1235)\/38?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 238 + 546 + 295 - 12*o.\nAnswer: -14*o + 603","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 10 = -c. Suppose 25 - 89 = -c*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 1 - ((-2 - -6) + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.2 - -12.2. What is the nearest to n in -2, 0.2, -3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76240 and 6388912.\nAnswer: 31944560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 2 - 16\/(-4). Suppose -f*d + 3*d = -76. Calculate the remainder when d is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-372 - -371) + (-18 - -1) - -14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5955 - -113180\/19. Let u = -37\/19 + f. Let d = 0.436 - 0.136. Put u, d, 4 in decreasing order.\nAnswer: 4, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Let p = 11 - 6. Suppose -2*b = b - 15, -4*b = -p*d. Solve q*h + 19 = d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1124 and 24.\nAnswer: 6744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from fyxxxyxfffx?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -51, -88, -125, -162, -199?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93696842*n**2 - 5 + 93696842*n**2 - 10*n**3 + 5.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 348*c**2\/5 - 34096*c\/5 - 784\/5 = 0.\nAnswer: -2\/87, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2. Let f(k) = 3*k**2 - 2*k - 2. Let i be f(2). Let t be (-7)\/(21\/i) - (0 + -26). Let j(z) = 1 - 7*z - 3 + t*z + 4*z. Determine j(h(b)).\nAnswer: -42*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/7)\/((-50)\/(-875)))\/((-1450)\/1740)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3663073 to the power of 1\/2, to the nearest integer?\nAnswer: 1914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(405) + -1)*4 + sqrt(405))*4 + -2)*-5 + 5)**2.\nAnswer: -171000*sqrt(5) + 4059025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127868933 is divided by 42622965?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**5\/20 - l**4\/3 + 2*l**3\/3 - l**2\/2 + l. Let g be d(3). What is the remainder when (2\/(-3))\/(g\/(-168)) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-6)*(-5 + 5\/(-15)). Suppose -1163 + 435 = -w*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iccccxixiiiui. What is prob of sequence cxu?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.0839?\nAnswer: 0.01678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8827 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: Let u be 54\/(-12) + 2\/(-4). Let b be ((-6)\/(-4))\/((-3)\/(-4)). Let r be b\/(((-15)\/12)\/u). Solve -g - g = r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 4*f - 3*f + 48.\nAnswer: -2*f + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 44*f**2 + 6*f - 34. Let r(z) = 232*z**2 + 32*z - 168. Let v(j) = 16*l(j) - 3*r(j). Let o(b) = -b**2. Calculate o(v(x)).\nAnswer: -64*x**4 + 640*x**2 - 1600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 w when four letters picked without replacement from acbwccbaacbacakabbc?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 = p, 2*p + 2 - 10 = -5*y. Suppose 8*h - 4*h - 40 = 0. Suppose -h + 42 = y*t. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*f + 37*f + 17 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**8\/6720 - v**5\/30 + v**2. Let m(g) be the third derivative of x(g). Let b(a) = -11*a - 9*a - 16*a + 35*a. Give b(m(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96.89 + -15.99. Let k = v - 95. Let h = k - -2.1. Is -2\/3 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8\/127 - 11129\/1270. Find the common denominator of a and 18\/545.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b**2 - 41*b - 29. Let h be u(7). What is the greatest common divisor of 435 and h?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -205\/34 (c) -0.07 (d) 2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11022568*f**5*j**2 - 9*f**2*j**2 - 77*f**2*j + 1477*f**2 + j**2 wrt f.\nAnswer: -661354080*f**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5801?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4322 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (1 + (-2)\/1). Suppose 3*h - p = 2. Solve 20 = 2*y + h*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/((-21)\/(-9)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -90*t - 3. Does 27 divide u(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 64\/(-8)*(-3)\/(-4). Let l = 115 - 193. List the prime factors of (20\/y)\/(4\/l).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59523 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**2 + 20*i + 26. What is r(-5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1213 is divided by (40\/12*-1)\/(56\/(-252)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.543576376 take away 0.2?\nAnswer: -4.743576376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**2\/7 + 9964*n\/7 + 985326\/7 = 0.\nAnswer: -97, 5079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3310253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*i + 6, 5*s + i - 6*i = 5. Suppose t = 5 - 6. Is s >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c**2 + 31*c - 3143. What is the ten thousands digit of p(-62)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60326 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-8) - 0)\/(84\/56). Let m = -0.2 - 0.1. Let z = m + 0.4. Is z less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/8 - 59*d**2\/8 + 121*d\/8 - 61\/8.\nAnswer: -(d - 1)**2*(d + 61)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9989024 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2722 less than -99?\nAnswer: -102.2722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -79*a - 5. Calculate o(-1).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -24, -4, 0.5 in decreasing order.\nAnswer: 0.5, -0.5, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (21 - 0) - (-113 + 101)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -871\/84 + 167\/21. Let t = -895445 - -10731853\/12. Let x = 1126 + t. Calculate the common denominator of f and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k. Let c(v) be the first derivative of 2*v**2 + 1. Let t = 188 - 156. Suppose 34*n - t*n = 4*z + 6, -3*z - 32 = 4*n. What is n*c(u) - 2*g(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 456116 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 14*v**2 + 14*v + 9. Let y be b(-13). Let p = -34 - y. Let r = p + 32. Solve 0*t - 2*h = r*t - 2, t = 5*h + 19 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.2 - 3. Let m be (-8)\/(-12) - 8\/30. Which is the closest to m? (a) u (b) 2\/9 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 10 (b) 18 (c) 1\/7 (d) 0.1 (e) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*(b\/(b\/(b*b*b\/b**(-3\/8))))\/b)*b*b)*b\/b**(1\/4))\/(b**20\/b)**7 assuming b is positive.\nAnswer: b**(-1047\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 1. Let l be a(3). Suppose 7*o + 4 = 9*o, 0 = 2*m - 2*o - 2. Suppose 5*f - 30 = -2*q, -3*q = l*q + m*f - 113. Is q at least 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 214 and 247919.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (96 - -54) + (-132 - -64)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6737871.3 rounded to the nearest one hundred thousand?\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o + 2*v - 148, 3*o - 2*v - 152 = 0. What is the highest common factor of 74 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-38 - -696)*(-2)\/4. Let b = 579 + f. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(891) + -1 - sqrt(891) - sqrt(891) - (sqrt(11) + (2*sqrt(99))\/sqrt(9))) + (sqrt(396) - 6*(-1 + sqrt(396)))))**2 + 0.\nAnswer: -10500*sqrt(11) + 485725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 256 or 252?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5418*n - 5596*n = -4440*n - 1022104 + 252946 for n.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-3))\/(17\/51). Sort b, 5, -5 in decreasing order.\nAnswer: 5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f + 12. Let x(t) = -4*t + 12. Let y(k) = 6*u(k) - 7*x(k). Let i(z) = 1. Let p(r) = 12*i(r) + y(r). Let w(b) = 2*b. Determine p(w(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2514 (base 13) to base 12.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1127543762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**3 - 148*n + 148*n + n**2 as j*n**3 + q*n**2 + x*n + k and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10009, -20026, -30043, -40060, -50077?\n\"Answer: -10017*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 304, 0.2, 0.3, -240\/19 in decreasing order.\nAnswer: 304, 22, 0.3, 0.2, -240\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -16*f + 20*f. Solve -v + 13 = -4*h, 6 = -4*h - f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -12)*(-2)\/(-4). Suppose -s = -l - 1. Suppose 5*o + 15 = s*b, 32 = 4*b - 3*o + 4*o. Solve -2*q - f = -5*q - b, 5*q = -2*f + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/11 + 4*b**3 + 126*b**2\/11 - 716*b\/11 + 544\/11 = 0. Calculate b.\nAnswer: -17, -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**3*l + 1783*c**3 + 4*c**2*l**2 + 251*c*l - l wrt l.\nAnswer: -c**3 + 8*c**2*l + 251*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 330730449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 4*b + 29, 4*w + 4*b = 10 - 42 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -127*f + 2103. Give g(18).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2156? (a) 0.4 (b) 1\/7 (c) -0.286 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.74 - -4855\nAnswer: 4855.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1960889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h. Suppose 3 = 2*t - t. Suppose -13 = -t*z - 4. Let f(b) = 2*b. Calculate z*f(r) + 4*v(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.0584, 2\/3, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -20\/117?\nAnswer: -20\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 34 + 222 = 4*h, -5*h - p = -253. Find the second derivative of -h*b**2 - 232 + 12*b + 123 - 2*b**4 + 107 wrt b.\nAnswer: -24*b**2 - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3268758.\nAnswer: 2, 3, 544793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -954, -3864, -8714, -15504, -24234, -34904?\n\"Answer: -970*f**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 + 4905*f**3.\nAnswer: 3*f**3*(f + 1635)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 3*v - 108.\nAnswer: (v - 9)*(v + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2741 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2929162237?\nAnswer: 17, 79, 263, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b + 9. Let p be k(-6). Let r = -38 - -20. Let v be (-2 - r\/p)*-5. Calculate the greatest common factor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1307.375778 to the nearest 10.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + i**2 + i - 1. Let z(u) = 3*u**2 + 3*u - 2. Let b = 58 - 56. Let t(o) = b*s(o) - z(o). Solve t(c) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 12*t**2 - 7*t**2)*(7 + 0 + 3*t - 2 + 1)*(2 - 5 + 2).\nAnswer: 45*t**3 + 90*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -731*w + 1418 = -3699 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 202187708 or 0.08?\nAnswer: 202187708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1275*f - 12254 = 3085 + 5061 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*t - 36. Let d(b) = 2*b**3 + b**2 + 3*b - 2. Calculate the remainder when d(3) is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 3. Let a be -2 + (-2 + 4 - 0). Suppose 4*f - f = 15, a = -5*x - 2*f + 35. What is v(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 21*n**3 - n**2 + 4*n - 4. Let p be x(1). Suppose 0 = -p*w + 21*w - 11. Solve -4*t = -5*c - w, -c = 2*c - 4*t + 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-36) + 182\/105?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133321 (base 6) in base 9?\nAnswer: 18044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(325)*2 - sqrt(325) - (5 + sqrt(325)*3))**2.\nAnswer: -2698 - 280*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -13*b**3 + b**2 - 2*b + 1. Suppose 0 = -3*c + 7*c - 44. Let m = c + -7. Suppose -m*s + 8 = 4. Calculate i(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 - 25*b + 2. Determine i(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2566584 equal to -2566592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2941 + 5495. Suppose -4*j = 150 - a. List the prime factors of j.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18201686*t - 9100845*t - 9100839*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(98\/7 - -40)\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1162\/28)\/((-1)\/(-2)). Let s = 48 + h. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(24\/4)*5\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 471 and -0.0568.\nAnswer: -26.7528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b**(2\/3)*b*b)\/b)\/b*b)**(-1\/33))**(-1\/15))**12 assuming b is positive.\nAnswer: b**(4\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 3087*q - 3 - 10 - 1632*q - 1445*q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 336.86 - 337. What is the third biggest value in i, -2, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 4. Suppose 12 = 6*c - 4*c. Let p be l(c). Let f = p + 18. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -5 (b) 115 (c) 0.043\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2 - 40131*o + 801420 = 0. Calculate o.\nAnswer: 20, 13357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) 14\/3 (b) 16 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -65\/12 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - k + 0*k)*(-4 - 1 + 0) + 0*k + 0*k - 2*k + (4*k - 2*k - 3*k)*(-5 + 2 + 4) - 2*k - 2 + 2.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, y: 2, m: 4, j: 6}. Give prob of sequence my.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 14 - 14)*(-4*a**2 + 3*a**2 - 2*a**2)*(a - 4*a + 5*a) - 4*a**3 + 4*a**3 + 3*a**5.\nAnswer: 27*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -7*y**3\/3 + 6*y**2 - 41*y. What are the prime factors of v(-5)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62410 to the nearest one thousand.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*c + 3058 = 3331 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/10 and 89\/15476?\nAnswer: 77380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 0*v - 2 + 2 - v. Let y be f(-3). Let n(t) = -7*t - 7. Let u(h) = -5*h - 6. Let j(x) = 3*n(x) - 4*u(x). Let r(k) = k - 3. Give y*j(z) + 4*r(z).\nAnswer: z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/1645 and -59\/213065.\nAnswer: 70098385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(4) - (sqrt(44)\/sqrt(11) - sqrt(4))))\/(6*sqrt(8)\/sqrt(4)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**35\/l)*l**10\/l)**(8\/9) assuming l is positive.\nAnswer: l**(-184\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 47, -1, -3, 213440, 5 in decreasing order.\nAnswer: 213440, 47, 5, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/8*2*((-3776)\/64)\/(-295)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2411078 - -3824784. Let v = o + -943706. What is v rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140327200 is divided by 4385225?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, y: 1, r: 3, e: 2, n: 3, o: 3}. What is prob of sequence nyeo?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9343*h**2 - 9343*h**2 + 99*h**3 + 286*h**3 + 2491*h**3.\nAnswer: 2876*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 115189 + 35334. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + -9 - (-364)\/30 - 58\/(-15). Solve 5*z = 2*b + 3*b + 40, -4*b - f*z = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -279500 rounded to the nearest one thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14232749?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*-1*(-55)\/10. Let s = q + -3. Calculate the lowest common multiple of 7 and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3*w - 4*m, 4*m = 2*w - 12. Suppose 5*p - 4*k - 21 = 0, 2*p + w*p + 5*k + 16 = 0. What are the prime factors of 3 - ((-3)\/p)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (1 - -9)) + 7 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 3*m**2\/2 - 3*m + 2. Let l = -2915 - -2922. What is o(l)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 6*t + 216 = -224. What is the remainder when 1267 is divided by t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11331033120 - 10?\nAnswer: 11331033110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1610 + -2284. Let d = z + 979. What is the highest common factor of 10 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -64098, -64086, -64070, -64050?\n\"Answer: 2*j**2 + 6*j - 64106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 235.0266 meters in millimeters?\nAnswer: 235026.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -135154227?\nAnswer: -135154225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-27)\/12))\/(7712\/(-63624))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 8*h + 5. Determine z(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 4. Suppose 0 = s*y - 78 - 18. Calculate the remainder when (18\/(-21)*-1)\/((-148)\/(-10360)) is divided by y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 12 = -2*z, -4*a + 4*z = -112. Calculate the remainder when 878 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516864.3 milliseconds in microseconds?\nAnswer: 516864300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*b - 11406 = 314*b - 831 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five eighths of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 216\/96*((-32)\/(-120))\/2.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 34267?\nAnswer: -1\/34267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4633 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22559 >= 21364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 913533, 1827787, 2742041, 3656295, 4570549?\n\"Answer: 914254*g - 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*h - 21, 0 = 4*h + l - 15 - 0. Suppose 7*b - 10*b + h*m + 103 = 0, 2*b + m - 65 = 0. Calculate the remainder when 94 is divided by b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186404 is divided by 458.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((128\/(-380))\/8)\/((-4)\/(-18)*522\/(-58)).\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205745967?\nAnswer: 3, 7, 1088603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*q - 29. Suppose 23 = y - 10. What is the greatest common factor of y and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**3 + 7*z**2 + 10*z - 7. Let h(c) = c**3 + 2*c**2 + 3*c - 2. Let x be 1 + -2 - (2 + -1). Let o = 54 + -47. What is o*h(y) + x*s(y)?\nAnswer: -y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.394 * -5\nAnswer: 1.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 2:52 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1402211 - 32250851\/23. Find i, given that -130\/23*i**2 - q*i**5 + 98\/23*i**3 + 8 - 192\/23*i + 42\/23*i**4 = 0.\nAnswer: -2, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 71*l - 491. Let o be b(63). Solve 18*v - 62 = -o*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**5\/60 + p**3\/3 - 1. Let w(k) be the third derivative of m(k). Let n(u) = -5*u**2 - 4*u**2 + 7*u**2. Determine w(n(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-21566)\/820)\/263*50\/6\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**2 + 2*z + 1. Let y be f(-1). What is the closest to -0.2 in y, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6964.43 + 6895. Let v = l - 1.97. Round v to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -33 + 31 + 9 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 967349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3*n**2 - 5*j**3*n + 4*j**2*n - 8*j*n**2 - 576346*j + 473662*n**2 wrt n?\nAnswer: 2*j**3 - 16*j + 947324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*o - 284*o + 86*o - 16956 = 0 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -5858*a**3\/11 - 23436*a**2\/11 - 17590*a\/11 - 12\/11 = 0.\nAnswer: -3, -1, -2\/2929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-12)*1224\/(-26418)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 14*p**2. Let l = -21 - 6. Let d = 39 + l. Let k(c) = 18*c - d*c - 7*c. Calculate k(g(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 - 17.3. Let j = -18.0061 - r. Round j to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 604.63638 seconds to days.\nAnswer: 0.00699810625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 15 = -5*l. Find the second derivative of -n**3 - 3*n**5 + n**3 - l*n wrt n.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28408, 56824, 85240?\nAnswer: 113656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 - 3*l**2 - l**2)*(-3 - 118*l - 1 + 122*l).\nAnswer: 4*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 657400 and 2076?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84a8 (base 15) to base 4.\nAnswer: 12312122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -q + 4, 36*q - 32*q - 7 = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 - 4*f - 1. Let h(y) = -5*y**3 + 9*y**2 - 14*y + 58. Give -h(c) + 3*p(c).\nAnswer: 5*c**3 + 2*c - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -f - 4*f + 10, g - 4*f - 2 = 0. Suppose 2 = z + g*p - 12, -p = -z + 14. Let v be -2 - (60\/(-2))\/2. Is v >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 + 4.06. Let w = 3 - 2. Sort i, 2\/7, w in descending order.\nAnswer: i, w, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3253 at most as big as 3259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4161403, 4161401, 4161399, 4161397?\nAnswer: 4161395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17074789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 1\/6*c**4 - 1\/120*c**5 + 0*c + 22\/3*c**3 - 41 + 0*c**2. Let x(f) be the third derivative of l(f). What is x(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3002, 6016, 9046, 12098, 15178?\n\"Answer: k**3 + 2*k**2 + 3001*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((3185\/42)\/35)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (1 + 0 + -2). Let c = -1 + a. What is the third derivative of -3*t**2 + t**3 - 5*t**c + 5*t**2 wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75026 - 75025.999948607. What is a rounded to 6 dps?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 13, -2\/3 in decreasing order.\nAnswer: 13, 2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + -11.3. Let o = r + 12. Which is the nearest to 1\/2? (a) -1 (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -9.2. Which is the closest to d? (a) -3 (b) 0.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20003332 + 0?\nAnswer: -20003332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395625434 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**3 - 2*d**2 + 911*d + 3175 wrt d?\nAnswer: 3*d**2 - 4*d + 911","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 - -80. Which is the nearest to 2\/5? (a) -3\/5 (b) -2\/9 (c) -5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(152)\/(sqrt(4) + sqrt(100)))\/(sqrt(3200) - (1*sqrt(3200) - sqrt(3200))).\nAnswer: -sqrt(19)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from vuff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 516170 + 103628 = -121*q. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -872570925*s**3 + 75416*s**2 + 777?\nAnswer: -5235425550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2149.7 in -0.5, -32, 2?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 808, 3173, 7106, 12601, 19652, 28253, 38398, 50081?\n\"Answer: -g**3 + 790*g**2 + 2*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2514960 = -5542*b - 14418*b for b.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 5*d - 2. Let l = -713 + 711. Determine j(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2780 + 9.\nAnswer: 2789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -218873?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343252376.\nAnswer: 2, 42906547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/3250 and 83\/1151800.\nAnswer: 5759000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 87, 11 in descending order.\nAnswer: 87, 11, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -105 * 4.1.\nAnswer: -430.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1483200*u**5 - 1241107*u.\nAnswer: -29664000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.032717809 and -817513?\nAnswer: 817513.032717809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 81, -2, 3?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**8\/420 + 11*a**7\/175 + 139*a**6\/300 - 7*a**5\/75 - 24*a**4\/5 + 128*a**3\/15 - 8*a**2 - 55*a. Find x, given that y(x) = 0.\nAnswer: -8, -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 2. Find the common denominator of 15\/4 and (5\/180)\/(a\/(-244)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6021*t - 3053*t + 657 = 3041*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 271849?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 1. Let t be a(6). Let x(s) = -9*s - 47. Let d be x(t). Sort 0, -2\/13, -3, d in descending order.\nAnswer: 0, -2\/13, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19966 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 5:22 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 15*y**2 - 24*y - 21. Let l(f) = -3*f**2 + 5*f + 4. What is 24*l(n) + 5*r(n)?\nAnswer: 3*n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37430 is divided by 1035.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2512253 (base 6) in base 15?\nAnswer: 29aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/9 - 44\/(-12). Let s(r) be the third derivative of -r**2 + 0*r + 0*r**4 - 1\/3*r**o + 0 + 1\/30*r**5. Differentiate s(b) with respect to b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23075820 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n + 6. Let s be y(-6). Let d be s\/4 + 15\/10. Suppose 3*q + q + 5*x - 69 = 0, 4*q - 2*x - 34 = d. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -31*k - 12. Let i be h(-11). Suppose 5*m = i + 386. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17.1 + 21.58. Round a to 1 decimal place.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 77\/3244862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 616 = 236. Let n(i) = 4*i**2 - 34*i - 45. Is n(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-15)\/(-135) - (-175)\/45)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from ngnnnynngn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -459, -559, -659?\nAnswer: -759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/32)*(z*z\/(z*z*z**2))\/z)\/((z\/(z\/(z\/z**3)))\/z**(-24)))**(-7\/6) assuming z is positive.\nAnswer: z**(5579\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 17 = 3*y - 5*k, 3*k - 9 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/65)\/(-12))\/(24\/(-40)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 75 + 56 + 73*c + 76*c.\nAnswer: 149*c + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -280350, -4 in increasing order.\nAnswer: -280350, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -96286 (base 10) to base 12\nAnswer: -4787a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -902*o**2*x - 1741*x wrt o?\nAnswer: -1804*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/23 - 58\/253. Which is the closest to 2? (a) -0.4 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (32\/(-44))\/4*(4 - 1). Put t, 1, 3\/5, -2\/11 in ascending order.\nAnswer: t, -2\/11, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 9783372*z**2 + 7976138606976*z + 95715072094464.\nAnswer: 3*(z - 1630568)**2*(z + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/((u\/(u**0\/u))\/u)*u)\/(u\/u**(2\/15))*(u**(-1)\/u)**(-2\/5) assuming u is positive.\nAnswer: u**(44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 + 6*i - 11. Let u be m(2). Which is bigger: 0.09 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(1\/16))\/t)**(-5)*(((t\/(t**(-4\/9)*t))\/t)\/t*t)\/t*t\/(t*t**(-8\/11)*t)*t assuming t is positive.\nAnswer: t**(-9727\/1584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (249\/(-61) + 4)*3\/((-9)\/(-30)). Which is greater: v or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54259 is divided by 2866.\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 432 and 42.\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23524429 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7*b + 0 - 2\/7*b**2.\nAnswer: -2*b*(b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 78*b**2 + 276*b - 264.\nAnswer: 3*(b - 22)*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 3. Determine b(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-one halves of a day?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-18))\/(2 + (-25 - (-206)\/9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 13. Suppose m*s = 2*t + s - 11, 3*s - 28 = -5*t. Suppose -2*d + 7*d + t*l + 30 = 0, 0 = 3*d - 2*l + 13. Put 5, 2, d in descending order.\nAnswer: 5, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 15*d**2 + 26*d + 3. Determine u(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 2*w + 2. Let j(i) = 2*i**2 - 5*i - 5. Let q(x) = -x**2 + 12*x + 7. Let d be q(13). Determine d*j(l) - 15*t(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114 + -113.625. Let o = 3.515 - h. What is o rounded to 1 decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/(-15))\/(3\/1035) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -24 + (-2 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -170.79406 and -0.189527?\nAnswer: 170.604533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 147*m - 149*m. Is 76 - (5 + -2)\/m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j*r**2 + 175*j*r - 8*j - 27*r**2 - 1 wrt j.\nAnswer: -2*r**2 + 175*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 4*t**2 + 3*t - 9. Give w(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9)\/x**(-3\/5))**30\/((x\/(x*x**(1\/2)))**30)**(-34) assuming x is positive.\nAnswer: x**(-1496\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -56. Suppose 0 = 4*m - 0*j - 4*j - h, -m - j = 0. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26.6 - -26.2. Let g be (-4)\/10 - (-4)\/10. Let s = -11 + 7. Which is the closest to 1? (a) v (b) g (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (328\/123)\/((-1)\/(-3) + -3 + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 848 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r - 1 = -z - 19*r, -z + 9 = -3*r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.9 - -104.9. Let a = q - 83. Let p be 3\/(-28)*(-14)\/(-4). What is the nearest to 2\/7 in a, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**2 + 27156160*c - 36872851297280 = 0. What is c?\nAnswer: 2715616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -97.34565?\nAnswer: -96.84565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1817 or 1797?\nAnswer: 1797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.04165.\nAnswer: -0.0833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 7*z + 9. Let u be w(-6). Suppose u*h + k - 2 = 0, 4*h + 0*k + 8 = -4*k. Let a be 3*(-28)\/(-8)*h. Solve 6 = 5*t + a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*a - 8475 + 8969 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -125b + -11a?\nAnswer: -1378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2. Suppose 0*b = 2*b. Let h(w) = -w**2 - w + 22. Let k be h(b). Let v(f) = k - 22 - f. What is v(p(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 i when four letters picked without replacement from iqikhkqhyihivhi?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001 - -1000111000?\nAnswer: 111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + -1.976488.\nAnswer: -25.976488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 3*n + 3*n)*(-2*n**4 + 0*n**4 + 4*n**4) + n**4 + n**5 - n**4 + 64*n**2 - 64*n**2 + 6*n**5 + 6*n**2 - 6*n**2 + 4*n**5 + 0*n**2 + 0*n**2 - 2*n**5.\nAnswer: 7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -75, -229, -383, -537, -691?\n\"Answer: -154*t + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*((-10)\/(-5))\/2. Find p such that 2\/5*p + 0*p**z + 0 - 2\/5*p**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*u + 2*u. Suppose 4*b - 3*r - 228 = -u*r, b + 2*r - 68 = 0. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**5\/60 - 5*q**4\/24 + 2*q**3\/3 - 3*q**2\/2 + 2. Let o(g) be the second derivative of s(g). What is the tens digit of o(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 20. Let w be -4 + 6\/1 - p. What is the tens digit of (w + 17)*12\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + v. Let f be s(-2). Suppose -2*h + 112 = f*h. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 + -17.97. Let p = z + 11. Let o = -7.00000248 - p. Round o to 7 decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 5*p**2 + 7*p - 4. Let q(c) be the first derivative of c**4\/4 - 7*c**3\/3 + 5*c**2 - 6*c + 4. Determine 7*f(o) - 5*q(o).\nAnswer: 2*o**3 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3415638041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -0.008, -19280, -2 in increasing order.\nAnswer: -19280, -2, -0.07, -0.008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -47\/20*x**5 + 0*x**4 + 0*x**3 + 41*x + 0 + 19*x**2. Differentiate v(a) with respect to a.\nAnswer: -141*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g - 2. Let q be h(-2). Let f(d) = d**2 + 13*d + 33. Let a be f(-10). Let b(i) = -5 + a*i**2 - 4*i**q + 5. Let r(z) = 28*z**2. Give b(r(u)).\nAnswer: -784*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4601 * -3.\nAnswer: 1.3803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2353229.\nAnswer: 1093, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 9. Let u(g) = 2*g + 14. Let i(c) = 8*j(c) + 5*u(c). Let z be i(2). Let f be (48\/15)\/(1\/5). What is the greatest common divisor of f and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 291 in -1\/3, -4, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a. Suppose -3 = 3*i - 0. Let v be h(i). Let f(m) = -2*m - 22 + 22. Give f(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*291*3\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b1 (base 12) to base 10.\nAnswer: -1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006113?\nAnswer: 3, 151, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 4, v: 7, r: 3, y: 1, z: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 12 + -2 + -14\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 928*x = 932*x + 68, -5*l = 20*x + 365 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 + -6 - (-36 + -2). Calculate the highest common factor of 105 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -176429, -352883, -529355, -705845, -882353, -1058879, -1235423?\n\"Answer: -9*r**2 - 176427*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98298 + 76342 = 8732*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 692 and 5536?\nAnswer: 5536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 6\/11, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*k + 4*o + 839 = 0, -4*k = -2*o - 3398. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c5350 (base 13) in base 3?\nAnswer: -2202120221121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v = 7*v. List the prime factors of 58*(v + 1\/2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001345469 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 261 + -3396\/13. Is q bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42933290603299 - 5?\nAnswer: -42933290603304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-18)\/2)\/72*4)\/((-385)\/28)\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 45 = -6*m. Let v = m - -7. Suppose 0*q = -4*q - v. Which is the second smallest value? (a) 1\/2 (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 0 - 1\/105*b**7 + 0*b**4 - 1\/75*b**6 + 0*b**2 + 0*b**3 + 0*b**5 - 3*b. Factor y(u).\nAnswer: -2*u**4*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1018.67 + 1018. What is the smallest value in -2\/5, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1337*u**2 + 206*u + 928. Is f(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m + 3. Suppose 90 = -5*w - 3*s, -4*s + 90 = -5*w + s. Let r be (-7)\/9 + 4\/w. Let f be (-30)\/9 + r\/(-3). Give n(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14752587156 - 3.23.\nAnswer: 14752587152.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83929 + 450768. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 9*c**3 - 29*c**2\/2 - 3*c - 19. Is l(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 + -18.05. Let z = 16 + t. Let n(d) = d - 5. Let f be n(5). Which is the nearest to f? (a) 0.4 (b) z (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 7:51 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 338.5530865.\nAnswer: 338.9530865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 + 15*g - 8. Suppose -8*s = -5*s - 12. Let k be m(s). Let w be 2\/(3 - (-52)\/(-20)). Solve -k = -w*v - 4*t, -3*v + 3*t = -0*v + 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2971 + 2971 = 59*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 76453*x + 15. What is p(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.068 - -0.068. Which is the closest to 1\/2? (a) j (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66.34 - -73.34. Which is the nearest to 3? (a) x (b) 0.1 (c) 1 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-5*6\/4). Suppose 72 = -77*g - 5. Do g and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6459161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 94 + 469. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 - 1195667432673?\nAnswer: -1195667432328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-435)\/10150 - (-28730)\/700.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 10*d**2 - 9*d + 11. Let y(g) = -g**3 + 3*g**2 - 3*g + 3. Let a be y(3). Let u be 23\/(-3) - (-2)\/a. Is p(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1128 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 4. Let v be j(0). List the prime factors of (1 + -3 - v)*10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 28*x**2 + 26*x + 49. Let p be o(27). Solve 8*b + 3*b = -p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -8*h**5 - 29*h**3\/6 + h**2\/2 - 56*h. What is the second derivative of z(v) wrt v?\nAnswer: -960*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -24. Suppose -r + 9 = -13. Suppose 3*b - r = b. Calculate the remainder when b is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 959824.81 rounded to the nearest 1000?\nAnswer: 960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k + 10*o = 18*k - 46, -5*k = 5*o + 20 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (15 + -8 - (14 - 8)) + -20.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c + 60*c = 58*c + 1824 for c.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -12*q**3 + 21*q**2 - 26*q - 68. Let i be w(-16). Let t = 8780227\/160 - i. Calculate the common denominator of t and 91\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + -134. Let f be s\/(-66) - 2\/11. Solve -2*m**2 - 2\/3*m + 0 - 2\/3*m**4 - f*m**3 = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbb when three letters picked without replacement from {f: 3, b: 8}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 2*h - 12. Let g be p(5). Let x(o) = -o - 3 + 7*o - 3*o + 3*o**2 - 8*o**2 + o**3. Determine x(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14924, -19538, -24152?\nAnswer: -28766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/18 - (-28)\/126) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -16, -15, -14?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(0 + 1\/(-3)). Let y = k + 5. Is y > 7\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from mzxxxhhzzmmxzzm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 29. Let t = 21 + r. Which is smaller: -1\/18 or t?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 8*y**2 - 9*y + 4. Let s be c(-9). Calculate the highest common divisor of s and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(3\/15*1). Let f = 26 - m. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38297151.\nAnswer: 3, 47, 103, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 12 - 12 - 10*v + 32.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*x = 7, -3*x - 2*x = -5*p - 10. Let m = -14.7 - -9.7. Sort p, -0.3, m in increasing order.\nAnswer: m, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 5*x**2 + 5*x - 7. Determine c(-5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97.6404 - 98. What is p rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17\/3*216\/(-408). Let h(c) = -5*c - 1. Suppose -5*p = -p - 8. Let v(i) = -5*i. Determine f*v(n) + p*h(n).\nAnswer: 5*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from {e: 2, q: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 8. Let w(z) = 1. Let r(h) = -3*h + 2. Let d(y) = k*w(y) - r(y). Let f(b) = 6*b + 2. What is -11*d(t) + 6*f(t)?\nAnswer: 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -86399300 rounded to the nearest one million?\nAnswer: -86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -12.2, -1\/10 in descending order.\nAnswer: 3\/4, -1\/10, -12.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 53 - 52 = -5*l + 2*l, 4*l - 3*f + 3 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 937177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llg when three letters picked without replacement from lllsslslglllsllls.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from {v: 2, o: 1, w: 8, m: 2, u: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 2*c - 1. Let q(b) = 33*b**2 - 66*b - 33. What is -q(y) + 33*x(y)?\nAnswer: -66*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 760*m = 764*m - 8. Let b(p) be the first derivative of 4\/3*p**3 + 0*p**m - p + 2. What is the derivative of b(y) wrt y?\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjxxjuwuj. What is prob of picking 2 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02572 rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 14. Let r be n(5). Let j = 55 + r. Suppose -10*a = -12*a + j. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 62 + 17. What is the remainder when l is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 522094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence drq when three letters picked without replacement from vvqqqvvrvqvuqvqviqdv.\nAnswer: 7\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14458 * -0.3\nAnswer: -4337.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 161 + -113. Suppose -5*o - 3*h = -212, 0 = -o - h - h + c. What is the remainder when o is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q - 5*o = 9, -5*q - 4*o + 52 = 0. Let p = q + -7. Let y = -691\/5 + 139. Sort p, -1, y in increasing order.\nAnswer: -1, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1622616, 3245239, 4867862, 6490485, 8113108?\n\"Answer: 1622623*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*d + 107 + 689, 5*d - 3*p - 1928 = 0. Calculate the remainder when d is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1599274929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 26.68711us?\nAnswer: 26687.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1340 by 335.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8)\/((-3)\/(-60)*-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142 - 143 - 4703*i**4 + 3917*i**4 + i to the form w*i**4 + t*i**3 + l + u*i**2 + d*i and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/156 and -22\/13?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522036.\nAnswer: 2, 3, 17, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*o - 5*z - 20, 19*z - 17*z + 16 = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2\/v)**(2\/77))**(-2\/47)\/(v*((((v\/(v*v\/(v*v\/v**(2\/5)))*v)\/v*v)\/v)\/v)\/v*v**(-6\/5))**(-45) assuming v is positive.\nAnswer: v**(-260572\/3619)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.11 + 0.05. Let k = -10.1 + 9.94. Let f = k - l. Which is the closest to f? (a) 4 (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 22*x + 61. Let g be d(-19). Let j = g - -360. Solve -j = -k + 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 404185 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -6 and 0.02152.\nAnswer: -5.97848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4\/9)\/l**(2\/3))\/((((l*(l*l\/l**(1\/3)*l)\/l)\/l)\/l)\/(l*l**(-1\/3)\/l)))**(-12) assuming l is positive.\nAnswer: l**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -2, 3\/4 in ascending order.\nAnswer: -2, 3\/4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 11. Suppose v = 4*q - 11 - 5. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63\/19 - 5593\/1045. Let x = d - -12\/5. Calculate the common denominator of 77\/6 and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.5 - -5. Let d(h) = -7*h - 12 + 18*h + 0 + 19. Let o be d(-1). Which is the biggest value? (a) o (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.132?\nAnswer: 0.0132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + u + 1. Let x(q) = -4*q**2 - 5*q - 7. Let p(v) = 5*l(v) + x(v). What is p(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(5) - -1*sqrt(5) - sqrt(5)) + -5 + sqrt(45) - (sqrt(100)\/sqrt(20))\/sqrt(4)) + -3.\nAnswer: -9 + 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -4 + (sqrt(2057) + -1)*-6 + (-1*sqrt(2057)*-5 - (1*sqrt(2057) + 3))*1)*-4)**2.\nAnswer: -704*sqrt(17) + 131664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 32064?\nAnswer: 320.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13731074 and 10068?\nAnswer: 82386444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.31 + -0.01. Let h = -0.5 + n. Let r = 0 - -0.1. Is h less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11201001011 (base 3) to base 11.\nAnswer: -63645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -2677863, 4 in decreasing order.\nAnswer: 4, 0, -3, -2677863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 7*z + 1. Let q be i(4). Let n be (-27)\/(4\/6 + q + 10). Let p = -78 + n. Solve 4*v + 5 = -p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - o = 77, 5*o - 1573 = -4*t - 1550. Suppose 60 = 4*u - 0*u. Solve u*z = t*z + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*p + 3 + 1 + 1 + 0.\nAnswer: -344*p + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*h**3*m*u - 328*h**3*u*v**2 + 2*h**3*u*v + 2*h**3*v**2 - h**2*m*u*v + m*u*v**2 wrt m?\nAnswer: 3*h**3*u - h**2*u*v + u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*s = 74, -38*k + 36*k + 66 = -4*s. Calculate the greatest common divisor of 164 and k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i + 1. Let y be v(2). Suppose -2*w - k + y + 19 = 0, -4*w - k = -62. Suppose h + 1 - 4 = 0. Solve h*t = w - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1134) + -1*sqrt(1134))\/sqrt(7) + (sqrt(16) + (-2*sqrt(16)*3 - sqrt(16)))\/((2*sqrt(32))\/sqrt(4)))*-2.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*v**3 - 17*v**2 - 10*v**3 - v**3 + v**6 + 3*v**3 wrt v?\nAnswer: 120*v**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**3\/3 + 2*v**2 + 2*v. Suppose 10 = s + s. What is j(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1653 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18330209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.1 + 3.1. Let l = -57 - -140. Let j = l + -82. Which is the nearest to 0? (a) j (b) p (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 14 + 66. Calculate the remainder when 180 is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 95*m + 50*m + 8*m**2 - 1 + 45*m.\nAnswer: 8*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -437606*0.0251.\nAnswer: -10983.9106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 1002\/(-10))\/(92\/230). Let y(m) = -m**3 - m**2 + 5*m + 3. Let b be y(-4). Calculate the greatest common factor of b and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459569389 a multiple of 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 16*m**2 + 2*m - 1. Calculate the least common multiple of v(4) and 5.\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 419457 (base 10) to base 11.\nAnswer: 267165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -145652, -145675, -145708, -145757, -145828, -145927?\n\"Answer: -z**3 + z**2 - 19*z - 145633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 27 - 11. Let w be -6 + 2 - l - 0. Solve -4*d + w*h + 1 = -3, 0 = -d - 5*h + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 970875*d - 1772672 wrt d.\nAnswer: 970875","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 24*n**2 - 95*n. Give v(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 5. Suppose z*r - 17 = -7. Let k = 42 + -42. Solve k = -j + r*j - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5945 or -4325?\nAnswer: -4325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g + 2*g + 3*g + 0*g as d*g + f and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 191666817821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -3077?\nAnswer: -3077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7353\/15 + 48\/60 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 1312?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -229*o**2 + 166*o + 8. Let f(a) = 230*a**2 - 170*a - 9. Let j = -521 - -527. Let t(v) = j*f(v) + 7*x(v). Find the second derivative of t(m) wrt m.\nAnswer: -446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -281301*q**4 - 77957*q**2 wrt q?\nAnswer: -6751224*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90263080?\nAnswer: 2, 5, 29, 77813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3734*k**2. Let m(y) = 6*y**2 + 11. Give m(p(s)).\nAnswer: 83656536*s**4 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 227832043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 517802694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506\/54 + (-3741)\/129?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2540 + -380. Find the common denominator of (-206)\/18*(-3)\/(-2) and (-10335)\/y + 2\/9.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.528433 rounded to 3 dps?\nAnswer: 0.528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -16. Let i = -15 - -13. Let b = -0.2 + -0.2. Sort b, i, p in descending order.\nAnswer: p, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 13 + 1. Let d(l) = -l**2 - 8*l + 6. Calculate d(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4371*m**3 - 27*m - 3 - 22*m - 4372*m**3 in the form h*m + t*m**3 + v*m**2 + w and give h.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 639 divide 128540899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -24*j + 482. Let o be n(26). What is o rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 3 + 2 - (6 + -5 + 17)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1045725349*r**2 + 287609*r + 530 wrt r.\nAnswer: 2091450698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -724*g**2 + 556*g wrt g.\nAnswer: -1448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((27\/(-24))\/((-6)\/(-8)))\/(-6). Which is the closest to h? (a) -5 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -64*j + 2567. Calculate l(40).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - p = 5 + 2, -5*b = 4*p - 40. Let m be (-4)\/(-12) - 23\/(-3). Suppose -x - 4*j = -0*x - 21, 0 = -b*j + m. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147.9158 rounded to 1 dp?\nAnswer: 147.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -41*k**2 - 291*k - 11. Let d be f(-7). Solve d*o - 5*s = 13*o + 21, s = -5*o - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43744800.\nAnswer: 2, 3, 5, 11, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 4\/5, -2\/19, 1\/5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c + 6386?\nAnswer: 6319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 - 1892*b**3 + 1890*b**2.\nAnswer: 2*b**2*(b - 945)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 836841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -4\/15 (c) -2\/7 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 3. Let o be h(0). Let s be (o\/(-6))\/((-5)\/(-2)). Let l be (3 - (-4)\/(-6)) + -2. What is the closest to 0.1 in s, l, 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -16 + 54. What is the remainder when 35 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 3. Let j(o) = o + 4. Let x be j(r). Let b = 71 + x. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2. Let l(g) = 9*g. Suppose -14*c - 21 = -7*c. Let f(v) = v. Let j be (-2 - (-3 - -2)) + 25. Let z(w) = c*l(w) + j*f(w). Calculate z(p(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a**(-11)\/a)\/a)\/a**(-2)*(a*a**0\/a)**(-1\/7))**(-49) assuming a is positive.\nAnswer: a**490","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 11:28 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 40896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6501 and 31251.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*l - 2*l. Suppose -l*m + 3 = -7. Suppose -p - 15 = -6*p. What is the third biggest value in m, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**6\/20 - 13*g**5\/60 + g**4\/3 - g**3\/6 + 50*g**2. Factor j(c).\nAnswer: (c - 1)**2*(6*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.724 - 9.6. Round p to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2739714921?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 35 = 26*n. Put 1, 10, n in ascending order.\nAnswer: n, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*r + 40 + 58*r - 45*r - 89 + 49.\nAnswer: 278*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*((-27)\/(-6) + 1). Let u = -64 + b. Let o = -34 - u. Calculate the remainder when o is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f - w - 50 = 0, 0 = w. What is the remainder when 17 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22 + 2e0f2?\nAnswer: 2e0d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.2 + 0.2. Let r be (18 + -4)*(1 - (-6)\/(-4)). Let y(k) = 13*k + 91. Let t be y(r). Sort t, j, 2 in decreasing order.\nAnswer: 2, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**4\/4 + 4*p**3\/3 + p**2 - 3*p - 6. Let m be 2*2 + -2 - -2. Is w(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 30 = 2*w. Let o = 30 - w. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + v + 8 = 0, o - 2*o + 3*v + 4 = 0. What is the tens digit of (2*2\/o)\/((-66)\/21945)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.8 + -3.8. Let k = 15.000116 - f. Round k to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 300965.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -730 divided by 6846.\nAnswer: -365\/3423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48011 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9320138 is divided by 113660.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 3. Let g(x) = 6*x**2 + 4*x**2 + 2*x**3 - x**3 - 12 + 0*x**2 + 8*x. Let z be g(-9). Let m be o(z). Solve -q + 4*q + 15 = m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.319 bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-62)\/(-471)*(-3)\/(-2). Let t = o - -20951\/2826. Calculate the common denominator of t and 73\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 126. Let b = u - 51. Calculate the lowest common multiple of 7 and (12\/14)\/(10\/b).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 386 - 546. Let z = k + 227. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1360 = -12068534*b + 12068551*b for b.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -151*(-615)\/30955*1\/(3\/50)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 284302 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -186360, -372699, -559014, -745293, -931524, -1117695, -1303794, -1489809?\n\"Answer: 2*d**3 - 186353*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1913\/1710 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1362, 2726, 4080, 5418, 6734, 8022?\nAnswer: 9276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 671.5 + -672. Let a = 1 - 4. What is the closest to 1 in w, 0.06, a?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*x - 585, 4*m - x + 4*x + 780 = 0. Let n = m + 200. Solve -n*j - 4 = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (6 - 3) - (-151 + 305 + -155).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*f + 43*f - 30*f to the form q*f + c and give q.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -31*f + 34*f. Let g = f + 34. Solve -r = 3 - g, 0 = -3*u - r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from {i: 1, z: 3, w: 1, n: 12, o: 1, m: 1}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1224)\/544)\/(((-357)\/(-32))\/7*2\/1)?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 1. Give p(-15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530914 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 3.6\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 26 = -4*d. Let v(y) = 5*y. Give v(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 24*g + 183. Is 17 - -299 - g\/(-2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5931858*a**3*b + 5*a**2*b + 24*a**2 - 263*a*b + 5 wrt a?\nAnswer: -35591148*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 7149*u**2\/7 + 1017*u - 30\/7 = 0.\nAnswer: -1, 10\/2383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 34*y**3 + 2*y - 1. Let o be k(1). Suppose -5*z + o = p - 10, z - 28 = -4*p. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 58 + 28. What is the units digit of -2*(-69)\/a + 1\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-9*12\/20. Let d = 24\/5 + b. Let q(w) = -w**2 - 2. Let c be q(0). Is d less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*w**3 + 142*w**3 - 394*w**3 + 131*w**3.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ururuuuuruu. What is prob of sequence uu?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2 - 12*k + 13 = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = -2*d - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 520*f = 530*f - 8140. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20793729*d**5 + 2861177*d?\nAnswer: -415874580*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4568800815 to the nearest integer?\nAnswer: 67593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + 242\/(-33))*-9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/4))\/((g*g**18*g)\/g) assuming g is positive.\nAnswer: g**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14399*k + 343227 - 84045 = 0 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide ((-1040)\/(-50))\/((-40)\/(-21100))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1782*p**2 - 3522*p**2 + 1746*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380062 is divided by 125826?\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqnnqvnqdn. What is prob of picking 2 d, 1 v, and 1 q?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 171824909*o*y - 85907229*o - 3 wrt y.\nAnswer: 171824909*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 127b - 164?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3791 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**6\/3 - 28*g**3\/3 - 8. What is the third derivative of s(b) wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.426938 take away -5?\nAnswer: 3.573062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10493\/7 + -3 + -2 + -1?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 28) + (-161 - -212)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6*-54.\nAnswer: 86.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*2 - sqrt(33)\/(sqrt(3)*-2))**2.\nAnswer: 891\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - (-21 + 9 + 13)) + -83.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 + d**3 + d**3 + (d**2 + 18*d + 7 - 30*d + 10*d)*(2*d + d + 2*d + (-4 + d + 4)*(-2 + 2 - 1)).\nAnswer: 6*d**3 - 8*d**2 + 28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15535 by 5.\nAnswer: -3107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3554*h**2 - 3554*h**2 + h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 9) + -4 - (-2 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 308 and 264?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10329*d - 220470 - 220480 + 440950)*(-2*d**2 + 6 - 6).\nAnswer: 20658*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 0*u - u)*(u - 2*u - 6*u).\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -39514032 divided by -18?\nAnswer: 2195224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 3:13 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**5 - 15769*w**4\/4 - 406201*w**3\/2 + 2365285*w**2\/4 + 320925*w\/2 = 0.\nAnswer: -3890, -55, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z - 4. Let w(b) = 37*b - 24. Let t(n) = 6*d(n) - w(n). Let f(x) = -4*x - 5*x + 4*x**2 + 5*x. Let o(q) = f(q) - 16*t(q). Factor o(l).\nAnswer: 4*l*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f - 20. Give k(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-15)*(-30)\/39?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*v - 16, 5*v + 5 = -5*a. Suppose 0 = -x + a*x. Let q(f) = f**2 + 4. Determine q(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1035)\/3255 + 2\/7. What is the nearest to o in -4\/9, -5, 3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 351 and 65.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167979 is divided by 1387?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhsslhhshlsjhjhls. Give prob of sequence ll.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -76*q - 8841. Determine h(-118).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 3:28 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -1\/30*v**5 + 1\/12*v**2 - 1\/18*v**3 - 7\/72*v**4 + 4*v - 1. Let x(q) be the first derivative of i(q). Factor x(n).\nAnswer: -(n + 1)**2*(4*n - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - q**2 - 1. Let v(z) = z**4 - 10*z**3 - 7*z**2 - 8. Let p(o) = -24*d(o) + 3*v(o). What is g in p(g) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (9 + -6 - -1)) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 138*u - 13. Let v(k) = k. Let a(p) = 4*v(p) + 2*w(p). Let t(c) = -56*c + 5. Let d(m) = -2*a(m) - 11*t(m). List the prime factors of d(2).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13730 is divided by 319.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, 4483, 5, -1, -5, -0.07?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*y - 16576 = 557*y for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -8*v**2 - 2*v + 4. Let q(u) = 7*u**2 + u - 4. Let z be ((-117)\/351)\/((-3)\/(-27)). Give z*p(j) - 4*q(j).\nAnswer: -4*j**2 + 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1234 - 1211. Calculate the remainder when 218 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22224 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - ((33 - 16) + -5 - 32).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.15. Let s = 2.95 + y. Sort 0.5, s, 0 in descending order.\nAnswer: s, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 277*w - 278*w + w**3 + 3*w**3 to r*w**3 + j*w**2 + z + d*w and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 40602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -11. Let u(n) = 26*n**2 + n. Let k be u(o). Let b = k + -72. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 989468477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -227 + 155. Let d be (-1)\/(-2) - 11\/(176\/m). Solve 0 = l - 4 + 2, d*w + 3*l - 16 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrgo when four letters picked without replacement from dddmmgronnmrmrmnmd?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -2*x - 7*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7461054?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l**4\/2 + 2*l**3 - 37*l**2\/2 - 20*l = 0. What is l?\nAnswer: -8, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1027 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -573*q + 1712*q - 573*q - 572*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdbckkmocbmomcc. Give prob of sequence ko.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-431)\/(-4990))\/((-18)\/915). Let u = x + -13\/499. Calculate the common denominator of u and -15\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 395060315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1 (c) -3\/5 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 244 - -30443?\nAnswer: 30707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 9:13 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 15*d + 49. Let p be m(-5). Let f be 2\/(-10) - (p\/15)\/(-8). Which is smaller: 4\/65 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a - a + 2*a. Let x(i) = 4*i - 18*i + 7*i + 12*i. Suppose 2*d + 11 = -n, -4*n = 5*d + 11 + 24. What is d*x(l) - 4*j(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (63 - 7 - 5)*(-3*g - 2*g + 3*g) in the form c*g + i and give c.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(7) + 2 + 1.\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = u + 3. Let w be 2\/5 - 15\/(-25). Calculate the greatest common divisor of u and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a microsecond in nanoseconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -5*i**4\/24 - 55*i**3\/3 - 105*i**2 - 454*i. Factor v(j).\nAnswer: -5*(j + 2)*(j + 42)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/105228 and -69\/316.\nAnswer: 105228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 829*s**2 - s - 1664*s**2 + 834*s**2 - 37 + 3*s**2 + s**2 + s**2 + (-2*s**2 + 3*s**2 - 3*s**2)*(4 - 2 - 1).\nAnswer: 2*s**2 - s - 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2484 - 2560) + (120 - -1).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (570\/(-171))\/(7\/(-3))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10930 is divided by 2178.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 436.118 + -436. Let d = 0.018 - i. Sort -3, d, 22 in descending order.\nAnswer: 22, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2. Let r(n) = 166989735*n. Calculate f(r(h)).\nAnswer: -55771143190740450*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -108647895*d**2 + 2*d*n**3 + 59*n**3 + 86767*n**2 - 3*n + 1 wrt d?\nAnswer: -217295790*d + 2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 601116 (base 7) to base 10.\nAnswer: 101247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 0.0852, -0.185?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 divided by -1.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6324512 millennia to years.\nAnswer: 632.4512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/52 + 522\/(-8). Let g = 545 + m. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -56, -0.3, 26, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*j - 5. Suppose -7 = 2*f - j. Suppose f*q + 3*q = 3*q. Solve -4*i + 7*i = q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 11:52 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-75)\/(-42)) + (-210)\/(-75) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 bigger than 7313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1770 divided by -291145.\nAnswer: -354\/58229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 793*v**2 + 1966*v?\nAnswer: 1586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 3:34 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -987878164 divided by -311437?\nAnswer: 3172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 2 - 1)*(-17*t**5 + 68*t**5 - 16*t**5).\nAnswer: -840*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggc. Give prob of picking 1 g and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 556014868?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2988 and 26496?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z + 3*z - 5*z**2 - 1852*z**4 + 1851*z**4 - 32*z**3 in the form m*z**3 + j*z**4 + d + c*z**2 + b*z and give m.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5*r**2 + 1025*r + 50820 = 0.\nAnswer: -121, -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 698 + 148. List the prime factors of q.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*x - 2*n, x = -3*n + 4 + 2. Let o(r) = -2*r**3 - 2*r**2 + 1. Let a be o(-1). Let p be 7\/a*(-39)\/x. What is p rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v - 39. Let d = -23 - -1. Let r be j(d). Let h = -3\/50 - 79\/350. Sort 0, h, r.\nAnswer: h, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -735.\nAnswer: -1\/735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 0)*(97*s - 181*s + 558*s) as l + f*s and give f.\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 11*i**2 + 1699*i + 2452. Calculate m(-153).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 7:48 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 - 2*r - 4. Let y(n) = -15*n**2 + 7*n + 13. Let k(z) = -7*h(z) - 2*y(z). Let s(m) = -6*m**2. Give s(k(a)).\nAnswer: -24*a**4 - 48*a**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**5\/7 + 4680*a**4\/7 + 2570474*a**3\/7 + 7683352*a**2\/7 + 7673997*a\/7 + 2556440\/7 = 0.\nAnswer: -4045, -632, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 5.2. Let b = -6.8 + d. Which is bigger: 5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18244, 18082, 17920?\nAnswer: 17758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 612 - 307 + 7*q**2 + 6*q - 302 wrt q?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333*z - 101172839 = -317442020. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u**2. Let h(v) = -82153*v + 163854*v - 81957*v. Determine h(i(g)).\nAnswer: -1792*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from {p: 5, t: 4, e: 5}?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 - g**5 - 7*g**5 + g**5 - 4*g**2 + 4*g**2 + (2 + 2*g - 2)*(g**4 + 5*g - 5*g) + 2*g**5 - 3*g**5 + 2*g**5 + 3*g**5 - g**5 + 0*g**5.\nAnswer: -g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 1661*i**6\/30 - 270*i**2 - 33*i + 23. Differentiate r(n) wrt n.\nAnswer: 6644*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2\/13, -11, -0.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 979, 3237, 5483, 7711, 9915, 12089, 14227, 16323?\n\"Answer: -r**3 + 2265*r - 1285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -8. Suppose -p = 3*p + 4*a - 12, -b*a = -p + 12. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 12*q**2 - 6*q + 6. Calculate z(5).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003124 rounded to 4 decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -4*v - 20, 0 = -4*v - j - 1787 + 1763 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 9 - 5 + n)*((5 - 2 - 5)*(7 - 5 + 7) + (-2 + 0 - 1)*(0 + 0 - 2) - 10 - 5 + 10) in the form k*n + s and give s.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -4*f - 54. Let r be 1*(-94)\/f + (-20)\/(-90). Which is greater: -6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 38423?\nAnswer: 38424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -11526 and -2086114\/181 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 467402*l**2 - 513479*l.\nAnswer: 934804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 144 + -140. Factor 24*x**3 + 442*x**2 - 5*x**j + 24*x + x**4 - 486*x**2.\nAnswer: -4*x*(x - 3)*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*s + s + 5, -4*g = -2*s - 10. Let u(o) = 6*o**2 - o + 4. Let p be u(3). Calculate the greatest common factor of g and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32043686?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - -6)\/((-6)\/(-52)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 5*m**2 - m - 3. Let l be o(-5). Let k(u) = -u + l + u**2 + 4*u - 5*u**3 - u. Does 14 divide k(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 1. Let k(m) = -23*m. Let d(i) = 82*i - 1. Let j(g) = -2*d(g) - 7*k(g). What is 4*j(s) + 9*z(s)?\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*c + 72*c = 216*c + 9408 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**2 - 3460*m - 1496450 = 0.\nAnswer: -865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3\/5, 0.5 in decreasing order.\nAnswer: 0.5, -3\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 45) + 22 - -21 - (111 + 0)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 30 = -5*w, l - 3*w + 1187 = 1177. Let o = 4 - 2. Sort o, 15, l in decreasing order.\nAnswer: 15, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*u + 424*u - 40491 = -4973 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (-4*(3 + sqrt(72)) + sqrt(72)))*-2)**2.\nAnswer: 2304*sqrt(2) + 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/9))**(1\/5)*((s*s\/(s**(-3\/4)*s))\/s)**3 assuming s is positive.\nAnswer: s**(433\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19236*b**3 + 111*b**2 - 8*b - 670675 wrt b.\nAnswer: 115416*b + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*q + 5*i, -q = -5*i - 0*i - 1. Let o(n) = -10*n + 1. Find the common denominator of o(q) and 17\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*h + 17 = -2*d + 51*h, -5*d - 3*h = 45 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by 572.\nAnswer: 29\/572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/200 and 109\/200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 95868572 to the power of 1\/2, to the nearest integer?\nAnswer: 9791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 19*t - 9*t. Let y be 2\/(4\/(-40)*t). Suppose -3*u - 7 = -1. Which is the biggest value? (a) -1\/3 (b) u (c) 3\/5 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.224, 0.2, 4, -72\/5, 0.5, 2\/5, 3?\nAnswer: 0.224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2222699118?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 67 in increasing order.\nAnswer: 1, 4, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*y - 36, -2*y - 4*z - 12 = -0*z. Let m(v) = -v**3 - 16*v**2 + 14*v + 8. Let x be m(y). Round x to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152674 (base 11) to base 14.\nAnswer: 628c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 25*x**2 + 23*x - 19. Let h be f(-24). Suppose 3*l - 5*o - 28 = 0, -h*o - 22 = l + 2. Sort 4, -15, -9, l in descending order.\nAnswer: 4, l, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791 a factor of 509999906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 10 - (-4 + 24 + 6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p**2. Let j(z) = z**2 + 2*z**2 - 2*z**2. Calculate j(d(u)).\nAnswer: 49*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -65. Which is the third biggest value? (a) 3 (b) -1\/4 (c) 1\/6 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6, 20, 84, 204, 398, 684, 1080, 1604?\n\"Answer: 3*d**3 + d**2 + 2*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27684 is divided by 1000.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 29 - 8 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t - 5*t + 9 - 5. What is n(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 6:20 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 4:43 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*d - 88 = 0, d = -2*o + 6*o - 103. Suppose 2*x = -o + 31. Let h(t) = t**3 + t**2 - 2*t - 3. What are the prime factors of h(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21 + 21)\/(1\/1 - 3). Differentiate -138 + d*w**2 - 51*w**2 + 110 wrt w.\nAnswer: -102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**5 + 0*d**4 + 0*d**4)*(-1 - 5 + 3) + (-2*d + 2*d**4 + 2*d)*(-d + 0*d + 3*d) + 4*d**5 - 5*d**5 + 0*d**5 + d**5 - 5*d**5 + 5*d**5.\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -153 + 152.7. Which is the biggest value? (a) w (b) 284 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 477200444 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3 + 2\/(-3). Let q be (1\/(-2))\/((-1)\/4). Let y = 3 + q. Solve 4*i + p = -j - 1, y*p - 14 = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -36036*z. Let l(j) = 23*j. Give l(r(m)).\nAnswer: -828828*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011 + -11110?\nAnswer: -1011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18302*w**3 - 16153*w.\nAnswer: 109812*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 234504764 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 13 - 1 = 2*u, 0 = 2*u - d - 4. Suppose -2*x + u = -2*q - 7, 4*q - 5 = x. Calculate the remainder when (-60)\/(-120)*76\/2 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30551263\/7489251 - 2\/118877. Let k = 27\/7 + p. Is -5\/4 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3*(sqrt(363) - (-1 + sqrt(363))) - sqrt(363))*-1)**2 + 5.\nAnswer: -1650*sqrt(3) + 9305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*6*(-5 + ((4*sqrt(891)*4)**2 + sqrt(891) - sqrt(891)))*-3*-2.\nAnswer: -49267656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50001*q + 6534 = -49803*q for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 10*t**2 - 2*t - 1. Let s(m) = -m**2 + 1. What is s(b) + y(b)?\nAnswer: 9*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5797 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 22 = -13. Suppose 4*h - 7*w - 25 = -8*w, -h + 2*w = y. Solve -2 = 4*q + 5*s, h*q = -0*q + 4*s - 23 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**7\/70 - u**5\/60 - 13*u**4\/8 + 2*u**2 + 6. Find the third derivative of a(j) wrt j.\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -4, 22, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, r: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1511960 to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**2 - 2. Let o(z) = 15*z**2 + 9. Calculate o(k(p)).\nAnswer: 375*p**4 - 300*p**2 + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1691 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 2, 1, -10 in decreasing order.\nAnswer: 50, 2, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 14*v**3 - v**2 + v + 3. Let p be u(2). Let t = 164 - p. What is the remainder when t is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76.2 times 0.04\nAnswer: -3.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d**5*d*d*d*d*d*d**(1\/6)*d*(d*d**(-1)\/d)**38 assuming d is positive.\nAnswer: d**(-149\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2130703271?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, q: 1, p: 1, r: 1, l: 1}. What is prob of picking 1 p, 1 r, and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -5, 0, 5 in descending order.\nAnswer: 88, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157492, 311136, 464780, 618424, 772068?\nAnswer: 925712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -28.39. Let h = 0.11 - l. Suppose 6*u - u = -2*f - 17, -5*u + f = 14. Which is the nearest to -1? (a) h (b) u (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c9 (base 16) in base 13?\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**2 - 9*q - 2. Let v be m(9). Let o = v + -112. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**3 - 200*q**2 + 561*q - 9765. Calculate w(-70).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2465*g - 11*g**3 + 2087*g - 4552*g.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 5*i - 10, -4*i = 13*g - 15*g - 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**4*s - 30*h**4 - 22*h**3*s - h**3 + 145934*h**2*s wrt h.\nAnswer: 48*h*s - 720*h - 132*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/35 + -32\/105. Let x(i) = -2*i**3 - i**2 + 2. Let u be x(1). Are b and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p. Let l(h) = 189*h**2. What is l(q(m))?\nAnswer: 3024*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**3\/4 + 9811*h**2 - 1020851*h\/4 + 3318315\/2 = 0.\nAnswer: -39270, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**6\/780 + k**5\/78 - 13*k**2 - 4*k. Factor j(s).\nAnswer: -2*s**2*(s - 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen fifths of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 7:32 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-280)\/(-14))\/(-5)*(-1)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -53. Let v = 43 - n. Let k = -23 + 22.9. Which is the nearest to k? (a) v (b) -0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 195, 808, 1859, 3372, 5371, 7880, 10923, 14524?\n\"Answer: 4*w**3 + 195*w**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/7)\/(4\/10 - 66\/(-110))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1265\nAnswer: -3\/1265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -8*v. Let j(r) = -518*r**2 - 1. Calculate y(j(i)).\nAnswer: 4144*i**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 5. Let p be (-35)\/o + 3\/(-12). Let k = 303141\/2 - 151578. Which is bigger: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 110\/3 (b) 0.133 (c) 8 (d) -0.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112.8927 + -0.0267. Let w = b - -0.134. Let f = w + -112.99939. Round f to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 148974 and 966.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 12*t - 12*t + 2*t**2. Calculate the least common multiple of 9 and r(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*f + 30 - 2, -i = 4*f - 11. Let c be (-2)\/(f + 5\/(-1)). Solve -3*x = -8 - 1, c*r + 5*x = 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27667?\nAnswer: 73, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 1. Let m be c(0). Calculate the remainder when (-1)\/((-12)\/9 + m) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -11*y - 6. Let r be d(6). Does 9 divide (r\/20)\/(1\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2069 = i - 6*i, 1227 = 3*i + 3*h. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 76214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/32)\/((-11)\/((-44)\/3)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53026 take away -0.5?\nAnswer: -53025.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1063089.49941 - -1063138.5. Let r = -49 + x. Round r to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 + 2. Let a be y(-2). Suppose -25 = -a*l + 5. Solve 0 - 6 = -l*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 303682532*l + 1 + 4 - 303682522*l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - sqrt(28)\/sqrt(2))\/sqrt(2) - sqrt(7) - sqrt(56)\/(-1*sqrt(8) - sqrt(8)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206, -159, 2, -2 in decreasing order.\nAnswer: 2, -2, -159, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e + -6c235?\nAnswer: -6c226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 15*k - 18 as v + z*k and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*o - 2\/9*o**3 + 2\/9*o**2 - 2\/9.\nAnswer: -2*(o - 1)**2*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4902666925\/596 + -8225963. Let r = t - -5\/149. Find the common denominator of 4 + (-334)\/24 + (11 - 13) and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 6*o - 28. Suppose -5*c + 275 = 4*r, 2*r - 142 = o*c - 2*c. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + l**2 - 4*l**2 + 4*l**2 - 4*l**2 + 2*l**2 + (3*l + 2*l - 4*l)*(2*l - 3 + 3) - 17889 - 2064*l**2 + 17889)*(2*l**3 - l**2 - l**3 + 3*l**3).\nAnswer: -8248*l**5 + 2062*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -1123312111?\nAnswer: 1123312130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -4346?\nAnswer: 4344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 13*x**2 + 49*x. Let g(j) = -196 + 196 - 9*j**2 - 33*j. Let h(y) = 8*g(y) + 5*t(y). What is the second derivative of h(c) wrt c?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, w: 3}. Give prob of picking 1 w and 1 l.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**3 - j**2 + 215*j - 526. Give t(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 345 + -165. Let n = u + -182. Let s(r) = r**3 + 6*r**2 - 6. Let g be s(-6). Which is bigger: g or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -1.1 (b) -4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 66*z**2. Let v(k) = -3*k**2. Determine v(n(i)).\nAnswer: -13068*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3838725726 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(13\/(3\/3))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m - 293 = 163 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 133380266707.\nAnswer: 133380266705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -136.9? (a) 0.2 (b) -0.03 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**6\/90 + n**5\/15 - 5*n**4\/6 + 5*n**3\/6 - 4*n**2. Let f(i) be the first derivative of w(i). Is f(5) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, e: 2}. What is prob of picking 2 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 9:56 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16053 - 15803. What is the highest common factor of b and 4150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212146?\nAnswer: 2, 11, 9643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41 * 0.5.\nAnswer: 20.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -779 - -1134. Let h = f + -355.5. Sort h, -0.3, -7\/10.\nAnswer: -7\/10, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(605)*2*-4)**2 + -1 + (2*sqrt(605) + 0)*-1.\nAnswer: -22*sqrt(5) + 38716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -247.1222 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 + 273 = -3419*b + 3396*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (138*u - 755*u - 1176*u)*(3 - 2 + 1) in the form l*u + q and give l.\nAnswer: -3586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3*d - 27 = 0. Let c(r) = -r - 2. Calculate the remainder when 27 is divided by c(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46894\/13 or -3606?\nAnswer: -3606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + d + 90 = 124*b - 174*b, 0 = 3*b - 4*d - 244 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 75, 163, 249, 333, 415?\n\"Answer: -s**2 + 91*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20202311020 - -11?\nAnswer: -20202311003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/17))\/(y\/((y*y**(1\/6)*y)\/y)*y) assuming y is positive.\nAnswer: y**(29\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 8*y = 87. Let u = y + -1. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 - 78.9. What is the nearest to 1\/4 in -2, c, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 5. Let o(q) be the third derivative of -q**4\/12 - 2*q**3\/3 - 589*q**2. Give 2*j(u) - 3*o(u).\nAnswer: 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - r - 111, -3*l - 78 = r + 4. Let s = -20 - l. What are the prime factors of 8\/36 + 25\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58144 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**6\/360 - 41*x**5\/180 - x**4\/72 + 41*x**3\/18 + x**2 - x + 56. Factor z(u).\nAnswer: (u - 41)*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v. Let f(u) be the third derivative of 0*u - 9*u**2 + 0*u**3 - 1\/24*u**4 + 0. Give 5*a(g) + 10*f(g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10.3? (a) -2 (b) 0 (c) 3 (d) 2\/3 (e) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*m + 5, 9*b - 12*b - 1 = -m. Let c be (-5 + 6 - -3) + b. Let i be 0\/(-1 - 0\/1). Solve 8*d - c*d = i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 16*q + 4*q**2 - 17*q + 17 as o*q**2 + a*q + x and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44073?\nAnswer: 3, 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.85 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 7*i**2 + 3*i**4 + 3*i + i**2 - i**3 + 3*i**2 as b*i**2 + j*i**4 + u*i**3 + y + t*i and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5035*d**2 - 1390*d**2 + 5520*d**2 + 1100*d**2 in the form c*d**2 + z + v*d and give c.\nAnswer: 10265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 28. Suppose 5*x + m = 119. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1541 + 713 - 225 - 1639)*(-2*h**2 - 2*h + 2*h).\nAnswer: 5384*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -8217589 smaller than -8217591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-22)\/4)\/(3\/(-42)). Suppose 5*a - y - 48 = 0. Solve 5*r = -0*r - a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32022 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dssp. What is prob of sequence pss?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1138*m - 659*m + 115440 = 1589*m for m.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 16 = 44. What is the remainder when 4*2*n\/8 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.493901mg?\nAnswer: 9493901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/18 - 8\/36. Suppose -3*f = -p*f - 53. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(5))\/sqrt(12)*-2.\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, 29, 1, -3, -9, 4, -27 in descending order.\nAnswer: 29, 4, 1, -3, -9, -27, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7390564*c**2 + 14781127*c**2 - 11*c**3 - 7390563*c**2.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36888*k*n**3 + 6*n**3 - n - 12 wrt k.\nAnswer: 36888*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40375.\nAnswer: 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 9 = -3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/(-1748) - (-100)\/(-184)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 9 = 3*q, 2*q + 3*f - 7*f = 22. Solve -b - 8 = -4*k - 0*b, 27 = q*k + 3*b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 + 4*l - 7. Let d = 4 + -1. Let t be (-8)\/d - (-4)\/(-12). Suppose 3*s = -s - 28. Let f(u) = u**2 - 2*u + 3. Calculate s*f(x) + t*p(x).\nAnswer: -x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -b15 (base 15) in base 2?\nAnswer: -100110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 y when two letters picked without replacement from ylyffyfflflfyl?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 21*s**2 + s. Suppose 3*q + 2*j = 17, -3*q - 15 + 38 = -j. Let x = -8 + q. What is the units digit of h(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 464 - 403. Let z = -57 + r. Solve -5 = i, 0*i + i - 7 = z*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 460 + 18*v - 97*v - 142*v + 61*v**3 - 61*v**3 - v**4 with respect to v.\nAnswer: -4*v**3 - 221","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-75)\/20)*(30\/(-39))\/(-2)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*t**2 - 5 - 8 + 12 - 1 to the form x*t + o + i*t**2 and give i.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (-9)\/(45\/(-20)). Suppose 0 = -a - j + 15, 2*a - j - 34 - y = 0. Calculate the remainder when 52 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 11*y**2 + 10*y + 4. List the prime factors of v(-3).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsnlzzlsddanaz. Give prob of picking 1 z and 1 s.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1729040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.89551421 rounded to two dps?\nAnswer: -18.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -447192.82 to the nearest ten thousand.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 2*v**2 - 4*v + 1. Let h = -38 + 38. Let m(z) = 0 + 4*z**3 + 14*z + h*z**3 - z - 3 + 7*z**2. Calculate -7*j(l) - 2*m(l).\nAnswer: -l**3 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 838 divide 3556041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80365?\nAnswer: 5, 16073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1535582 and 3144.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(-2*p + 2*p - p**2) - 1 - p + 2*p**2 + 1.\nAnswer: p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**5\/5 - 8*h**4\/5 - 2*h**3\/5 + 8*h**2\/5 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11076 + -11081. Let b be (0 + 4\/10)\/(-4). Sort -0.7, -5\/2, g, b in descending order.\nAnswer: b, -0.7, -5\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3453 by -3453.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.091778 rounded to 2 dps?\nAnswer: 40.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -2. Let n = 23 + -14. Let r = n + y. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25619 by -108.\nAnswer: -25619\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3730736015?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**3 - 271*v**2 + 2197*v + 144780. What is c(-68)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 11382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -645, -638, -629, -618, -605?\n\"Answer: a**2 + 4*a - 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4591 (b) 0.1 (c) 132\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + (-2 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3 + 3)*(-5 - 1 + 4)*(m + 3*m - 2*m)*(366*m**3 + 149*m**3 - 162*m**3) to the form k*m + o + h*m**4 + t*m**3 + a*m**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from {g: 6, j: 2, t: 1, n: 3}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -816 - 877 - 153 = -71*f for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102526900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 22320*v**2. Let u(r) = 9259*r. Calculate u(w(l)).\nAnswer: 206660880*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -970 or -1031?\nAnswer: -970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 12*n**2 + 13*n + 7. Let w(i) = -28*i**2. Let x be w(-1). Let l = x + 41. Is v(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 71 = -2*a + 3*x, a + 5*x = 48. Suppose 5*j = 38 - a. Solve l + n - 7 = 0, -3*l + 4 - j = -n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 44034948 and 1?\nAnswer: 44034948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-5 - -4) + -5. Let k(s) = 11*s**2 + 2*s + 14. Let p(w) = 7*w**2 + w + 9. Calculate v*p(c) + 5*k(c).\nAnswer: -c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146.913 less than 9.1?\nAnswer: -1137.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 10, -6*w - 21*y - 141 = -14*y - 4*y - 582 for w.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + z**2 + 2*z + 6. Let c(x) = x**3 - x**2 - x - 6. Let w(y) = -3*c(y) - 2*n(y). Give w(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j - 7. Suppose 0 = -2*g - 2, 5*g - 329 = -5*v + 316. What is the remainder when q(5) is divided by 2\/(-6) + v\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -w + 4*i, -2*i + 2 = 2*w - 0*w. Suppose -w*t + 191 = b + 44, -3*t = -2*b - 138. Let r = -49 + t. Is 1\/18 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 + 7790898?\nAnswer: 7790898.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*r = 4*r - 3, 2*r = 4*f. Which is bigger: 85\/9 or f?\nAnswer: 85\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m\/(m*m*m\/(m*m*m**(-6\/5))*m*m))\/m)\/(m\/(m\/(m**3\/m)*m)))\/(m**(1\/2)\/m**(-2)))**47 assuming m is positive.\nAnswer: m**(-3149\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/33)\/b**(24\/5))\/(b*b*b**(2\/17))**(2\/9) assuming b is positive.\nAnswer: b**(-15124\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**6\/720 + b**5\/40 + b**4\/12 - 5*b**2. Let o(f) be the second derivative of l(f). List the prime factors of o(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 10 + 3*z**3 - 4*z**2 - 5*z - 4*z**3 + 2*z**3 + 0*z. Let y = -39556 + 39560. What is d(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5586824.\nAnswer: 2, 41, 17033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 54079 and -54.281028.\nAnswer: 54024.718972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -5.4.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**4\/12 + c**3\/6 - 5*c. Let l be f(-1). Solve -2*j - 10 = 4*u, 2*u + 3*j = -l*j + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 460 and 2438.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 15 + 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 3 + -3 + -1. Let k be 8\/6*x\/(-2). Let v(w) = 2*w - 2. Calculate v(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*s - 40 = 0, 0 = -7*n + 4*n - 3*s - 30. Do n and -21\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 1:29 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 3*b**2. Let n be (-192)\/(-33) - 2\/(-11). Let h(s) = -n*s**3 + 5*s**3 - 22*s**2 + 23*s**2. What is 3*h(z) + r(z)?\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -9) + 3 + -11 + 24 + (-76 - -1).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52260 + -26938. What are the prime factors of l?\nAnswer: 2, 11, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 1)\/(-149 + 158)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 10*x**2 - 11*x + 29. Let o be -1 - 2*154\/4. Let s = 87 + o. Let f be y(s). Let q(g) = -12*g. Let u(m) = -4*m. Give f*u(k) - 4*q(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1302, 2573, 3844, 5115?\nAnswer: 6386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51159, -50899, -50639, -50379, -50119, -49859?\nAnswer: -49599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 3*z - z)*(4 - 3 - 3)*(9045*z - 9045*z + 157*z**3).\nAnswer: -942*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-8)*f))\/(((f*(f*f**(-1))\/f*f)\/f)\/f) assuming f is positive.\nAnswer: f**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*r + 8*r = -96, r = 5*o - 160. Let s = o - 25. Let b(a) = 2*a**2 - a - 2. Calculate the remainder when b(3) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 10. Suppose -3*d + 6 = -p. Solve -4*c + 3*c = d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 249 - 236. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x = 65*x + 36. Which is greater: x or -2\/16535?\nAnswer: -2\/16535","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2. Let r(t) = -168 - 3*t**2 + 168. Give i(r(w)).\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 9 = j - 0*j, -2*c = -3*j - 6. Let x(m) = 3*m**2 + m. Let b be x(-1). Factor -7 + 1 + 2 + j - 8*n - 4*n**b.\nAnswer: -4*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -34*l + 14*l + 0 + 0. Let g(x) be the third derivative of x**4\/12 - 8*x**2. Calculate w(g(y)).\nAnswer: -40*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72207342*b**4 + b**3 + 17072206*b wrt b.\nAnswer: -866488104*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 8:22 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 - -73. Let h(o) = 12*o + 1. Give h(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3672577, 7345156, 11017735, 14690314, 18362893, 22035472?\nAnswer: 25708051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2191 + -2089. Solve 14*x - 32 + y = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*f**3 - 15*f**2.\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60702 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*w + 1, 2*q + 4*w = 2*w + 2. Let p = -1 + q. Put p, -9, -2 in increasing order.\nAnswer: -9, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 23 = -5*l - 1, 4 = -l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -2\/17 (b) -2 (c) 1.1 (d) 840 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1099, 1121, 1157, 1207, 1271, 1349, 1441?\nAnswer: 1547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 18. Let u be i(24). Let z(b) be the second derivative of 0 + 0*b**3 + 0*b**2 - 2\/15*b**u - 1\/21*b**7 - 1\/10*b**5 + 0*b**4 - 17*b. Factor z(g).\nAnswer: -2*g**3*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*((-7)\/28 - 183\/4). Let k = c + 97. Solve 2*h = 5*i + 27, -i + k*i = -20 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -5 (b) -0.062 (c) 0.3 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(0*j - 7*j - 2*j + (6*j + 1 - 1)*(-19 - 48 + 18))*((-3 + 0 + 5)*(2 + 3 - 3) - 3 + 0 + 2).\nAnswer: -909*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1681, -1763, -1845, -1927, -2009, -2091?\nAnswer: -2173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/49 (b) -2 (c) -48 (d) -3 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 0*k**3 + 0*k - 27*k**2 + 0 + 0*k**4 + 1\/30*k**5. Let o(b) = -b**2 + 9. Calculate o(q(y)).\nAnswer: -4*y**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 331 - 331. Suppose -5*b + 28*b - 828 = a. What is the remainder when (-1 - 45)*3\/(-2) is divided by b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 935175 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/481091 and 17\/3218.\nAnswer: 962182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 35. Suppose k*t = 7 - 49. Let o(q) = -q - 5. What is o(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-5)*(0 + (-5)\/(-10)). Which is the closest to 0? (a) -0.5 (b) -75 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**5\/5 - 8*s**4 + 278*s**3\/3 - 348*s**2 + 3771*s. Find y, given that d(y) = 0.\nAnswer: -29, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 199463810 by -3.\nAnswer: -199463810\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38394187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/25)*i)\/i**30*(i\/((i**(6\/7)*i*i)\/i))\/(i*i*i**(-2)\/i) assuming i is positive.\nAnswer: i**(-5064\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 130220232 (base 4) to base 13\nAnswer: 41508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 245, 357, 469, 581, 693?\nAnswer: 805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -330541.0564 + 330613. Let t = -72 + y. Round t to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6223 and 10287?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 + 2*t**2 - 2*t**2 + 3*t**3 + 2*t**3 - 3*t**3 + (3 + t - 3)*(3*t**2 + 2*t**2 - 3*t**2) + 5*t**3 + t**3 - 5*t**3 + 2*t**2 - 2*t**2 + 2*t**3.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 0*p**5 + 0 - p + 0*p**4 - 1\/15*p**6 + 0*p**3 - 2*p**2. Find the first derivative of k(l) wrt l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39496613 to the nearest integer?\nAnswer: 6285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5298842359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7603 + -4014. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d. Let m(j) be the third derivative of 7*j**4\/24 - 2*j**2. Let v(n) = -3*m(n) + 5*t(n). Let i(u) = -2*u**2 - u - 1. What is i(f) - v(f)?\nAnswer: -2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = k + 168, -4*f + 3 = -1. Let s = 171 + k. Solve -4*m + s = 16 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 2629.\nAnswer: 39435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4758 to two dps.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -119*h**2 + h. Let l be v(1). What is the common denominator of -1 + 2*35\/(-32) and (2*-1)\/(72\/l)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17396*m + 4544*m + 91592*m.\nAnswer: 113532*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 2*g + 20, -2*y + 1 = 4*g - 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12831316 divided by 6415658\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 93500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -1, -2, -6062 in decreasing order.\nAnswer: 2, -1, -2, -4, -6062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -896992, -1793985, -2690978, -3587971, -4484964, -5381957?\n\"Answer: -896993*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d - 1\/3*d**5 - 5\/3*d**3 + 5\/3*d**4 + 0 - 5\/3*d**2 = 0.\nAnswer: -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**4\/12 + g**3\/2 + 25*g. What is the second derivative of f(h) wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 d when three letters picked without replacement from pddjslsjj?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -14205\/16 - -890. Find the common denominator of 45\/(-16)*(0 - (-14)\/20) and c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*k*y + 5*k - 6*y + 1 wrt k.\nAnswer: 5*y + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2*w + w)*(17108*w - 17108*w - 314*w**2)*(6 + 11 + 0).\nAnswer: 16014*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 5:08 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.323 - 4.193. What is the closest to -0.3 in 1, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1394 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3429 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1351776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (15 - 17)\/(4\/(-446))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.3, -2\/157 in decreasing order.\nAnswer: -2\/157, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*p + 17, 4*p + 151 = 4*g + 99. Solve 4*s + 3*k - 10 = 0, 2*s + g = 3*k + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -430*m**2 + 451*m**2 - 1 - 2 to the form c + v*m**2 + u*m and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -60864 divided by -187?\nAnswer: 60864\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 29490.65ms?\nAnswer: 29490650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 15 + 3, 2*m = -3*d + 57. Let g = d - 16. Suppose 4*r = 6*l - 9*l + 63, g*r = 2*l - 65. What is the highest common factor of 25 and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**0*o\/(o*(o*o**(-7\/3)*o)\/o*o)*o**(-1\/3)*o**(-4))**(-38) assuming o is positive.\nAnswer: o**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * -718\nAnswer: -57.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2 - 8*o + 3 = 0. Calculate o.\nAnswer: -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32531 is divided by 1355?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m - 8. Let j be 2 - 0 - m - -7. Let o(k) = -4*k**2. Let t be o(-1). Put j, 1, t in descending order.\nAnswer: j, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35796 take away 19.19?\nAnswer: -35815.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**5*o + m**5 - 125*m**2*o - 5*m - 13*o wrt m?\nAnswer: -20*m**3*o + 20*m**3 - 250*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + d - 7, 54*d - 49*d + 7 = -i. Solve -5*v = -i*p + 14, -16 = 3*v + 2*p - 19 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10*s**2 - s + 2. Let n be r(-2). Let h be -4 + 7 - 1666\/n. Let t = 202\/11 + h. Find the common denominator of t and 145\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38020553359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -8 (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*b**2 - 4 + 3 + 1 as f + y*b**2 + p*b and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79506.\nAnswer: 2, 3, 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2302, 2052, 1810, 1570, 1326, 1072?\nAnswer: 802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 6 = -2*g, g - 233 = -5*w - 230 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*-0.04.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -548, -562, -590, -638, -712, -818, -962?\n\"Answer: -l**3 - l**2 - 4*l - 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -426.9072681 and 28747?\nAnswer: 29173.9072681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**3 + 2*w**2 + 3. Let g(y) = 9*y**3 - 3*y**2 - 6. What is 11*b(k) + 6*g(k)?\nAnswer: -k**3 + 4*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -548*q**3 - 318 wrt q?\nAnswer: -1644*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57663?\nAnswer: 3, 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 592288, 1187608, 1782930, 2378254, 2973580, 3568908?\nAnswer: 4164238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4280 - 1772 = -318*n - 10375 - 16983 for n.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdskztzdkddzddzid. Give prob of sequence ii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d**2 - 7*d - 5. Suppose y - 5 = 0, -h - h = -4*y + 12. What is the tens digit of w(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m = 99 - 39 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-32)\/24)\/(2*13).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*t - b + 14, 3*t = -b + 9. Suppose -5 = -t*k + 27. Solve -7*r + 3*r = k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1892628044 to the power of 1\/3, to the nearest integer?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -9, 18, 0, 2 in decreasing order.\nAnswer: 18, 9, 5, 2, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 84*g - 2924. Let w be c(35). Calculate the greatest common factor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1531, -3084, -4669, -6286?\n\"Answer: -16*m**2 - 1505*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 4\/40*46?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osy when three letters picked without replacement from {y: 3, o: 7, s: 2}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from dgdgggkgddgggqkgt?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 + 3.4. Let l = -6 + j. Which is the closest to -2? (a) 1 (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0089880236 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15 - (-1183)\/(-78))\/((-19)\/(-3)). Which is the nearest to 2\/7? (a) 4 (b) 3\/4 (c) -3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -1 - (2 - 4 - -11). Let o be (-1933)\/u + (-2)\/12. Suppose 5*q - 173 = -5*y + o, 2*q = 8. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41911427?\nAnswer: 41911427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-1 - (2 + -6 + 3)). List the prime factors of (h + 186\/(-4))\/(10\/(-20)).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -8, 19, 66, 139?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 102*u - 854 + 140 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 5*k - 35. Suppose 36 = 4*h - k. Solve -3*i = -3*f + 2*i + h, 2*f - i = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1400 or -1453?\nAnswer: -1453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -137915640 divided by -30\nAnswer: 4597188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2808082943 take away -50?\nAnswer: -2808082893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 + 16*s - 25*s - 236 + 145 + 14*s.\nAnswer: 5*s + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 5*t + 26, -11*t + 14*t = 3*w - 30 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/2 and (-22)\/1980*1146\/(-14)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4) + -13 + (0 - -26) - (-2 - -112).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 594, 595, 596, 597, 598?\n\"Answer: o + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 10, -2*j = -4*d - 17 - 13. Let i be j\/(-2)*4\/(-2). Let g = -7 + i. What is the greatest common divisor of g and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 701.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 235.22 - 2.22. Let i = -232.7 + j. Which is the second biggest value? (a) 2\/7 (b) -2\/17 (c) i (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o - 96*o + 684 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o**2 + 4949*o + 34305. Calculate r(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2020 (base 4) to base 10.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/(f*f\/(f\/((f\/((f*f**4*f*f)\/f))\/f))))\/(f**(8\/3)*f*f))**(-32) assuming f is positive.\nAnswer: f**(-320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 351\/(-13) - (-1 + 2 - 3). Let i = y - -34. Suppose 3*b + 5*x = -b + i, -3*x + 3 = 2*b. Let r(m) = -m + 12. Give r(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 0.5. What is the third biggest value in t, -0.5, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2691459 and 4947?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, -10, -27, -42, -49?\n\"Answer: a**3 - 8*a**2 + 4*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*f = -583*f + 136*f + 8352 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 860 and 22108235?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 32, 0, -395, 2 in decreasing order.\nAnswer: 32, 2, 0, -5, -395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z + 15 = 0, -14 = -w + 5*z. Let q = 42 - w. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-126)\/(-49)*(10 - 3). What is the third derivative of m*b**2 + 8*b**2 - 34*b**2 + 19*b**3 wrt b?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 20, -6, -3, -2, -5 in increasing order.\nAnswer: -6, -5, -3, -2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368599538.\nAnswer: 2, 184299769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 183408967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (15 + 1 + -4 + (-8 - -5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**5\/7 - 66*p**4\/7 - 1210*p**3\/7 - 3900*p**2\/7 - 589*p\/7 + 5766\/7 = 0.\nAnswer: -31, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 0*h + 5, 3*z + 4*h - 8 = 0. Let g = 572\/3 + -203. What is the common denominator of g and 153\/(-4) - 1\/z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41503304?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 958.181 - 953. Let c = 101 - 101.119. Let u = w - c. What is u rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/1 + (-4 - -1 - -6). Suppose -t*u = 2*l - l - 548, 4*l - 2184 = -4*u. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i + 5*i - 2*i)*(-2 + 3 - 2)*(2*i + 0*i - 4*i).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.595 - 0.395. Let x = 1.779 + 0.221. Sort x, -0.4, g, 1 in increasing order.\nAnswer: -0.4, g, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/38)\/(1 - 10\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132761437.\nAnswer: 31, 61, 70207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q. Let i be r(4). Suppose -i*h = -1 - 7. Solve h = 4*x + 2*k, -x - x - 5*k + 21 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 4*x - 0*x - 2*t, -3*t = -5*x + 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 0 + o**2 + 0*o**3 - 1\/24*o**4 + 0*o. Let u(w) = -4*w. Calculate q(u(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27618223?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**2 - 9*m - 1. Let w(l) = -9*l**2 - 17*l - 2. Let y(b) = 7*k(b) - 4*w(b). Let o be y(-5). Does 15 divide 2\/(0 + o\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68 and 102.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**3)\/j*j)**(-5\/11)*(j\/(j*j**9))\/j**14)**(-6\/17) assuming j is positive.\nAnswer: j**(1638\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 9*i - 8. Let n be h(-7). Suppose -14 = x - 2*x. Suppose 2*v - x = n. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.376 - -0.624. Which is bigger: y or -40?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/13)*r**(6\/13))\/(r*r\/(r*r*r**(-2))*r)**(-18\/5) assuming r is positive.\nAnswer: r**(742\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -982 + 2654. Let l = -377 + y. What are the prime factors of l?\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -4)\/1 - 0. Let b = 29 - a. Calculate the highest common factor of b and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v + 7582 + 7574 - 15142 - 15*v**2. Let u(s) = 5*s**2 - s - 5. What is 4*j(h) + 11*u(h)?\nAnswer: -5*h**2 - 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.981 rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 68*b**2 - 214*b + 188. Calculate the smallest common multiple of x(72) and 2.\nAnswer: 5516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-3)\/6*-1). Let c(d) = 1 - i*d**2 - 3 + 2. Let t(b) = 3*b. What is c(t(h))?\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -15. Solve -3*t + s - 2 - 1 = 0, -x*s = 5*t + 22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720229439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.094 * -0.028.\nAnswer: 0.842632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/12 and 10\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 5 = 5*n, -18 = -47444*u + 47442*u - 2*n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, i: 5}. What is prob of picking 2 n and 1 i?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20202120111 (base 3) in base 7?\nAnswer: 1063015","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 16 - 5. Solve -20 = 5*k - 4*w, u = -2*k + w - 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 2*n**9\/63 + n**8\/112 - 11*n**7\/210 - 5137*n**5\/30 - 324*n**2. Find the third derivative of q(t) wrt t.\nAnswer: 1920*t**3 + 180*t**2 - 264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/5*-3)\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132321 (base 6) to base 9.\nAnswer: -17674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72042431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (6 - (-4 - -8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*x + 531 = -81*x - 63 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(-2*q + 0 + 0) + 3 + 3*q - 4 - 34*q + 2*q - 4*q + 0*q.\nAnswer: -39*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1290994 to the nearest integer?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 = -196*k + 175*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 699.1 and 0.02457909.\nAnswer: 699.12457909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + l**2 + 1. Let u(c) = -5*c**3 - 2*c**2 + 2. What is 2*r(k) - u(k)?\nAnswer: 3*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 13*n**2 - 11*n - 13. Let t be p(14). Let m = t + -88\/3. Which is bigger: m or -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 37641, 301105, 1016215, 2408793, 4704661, 8129641, 12909555?\n\"Answer: 37637*h**3 + h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(-4 - -5) - 3. Suppose -6*w = -5*w - t. Suppose -5*p - 13 = -4*r, w*r - 4*p - 12 = -4. Solve -2*d - 20 = r*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 9:35 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16179 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(i**0\/i)\/i*i*i*i**44 assuming i is positive.\nAnswer: i**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 14. Suppose 4*n - 5*y = f, 3*n - 4*y = 8 - 0. Let u be (-4)\/6 + n\/(-1). Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + l - 1. Let b(j) = j**2 + j + 1. Let r be b(0). Let z be i(r). Let h be (-10800001)\/(-3) + z\/3. Round h to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 114302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -5, -1\/7, -0.2 in ascending order.\nAnswer: -5, -0.5, -0.2, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 130032181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 (base 16) in base 14?\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3951 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81078779?\nAnswer: 43, 1885553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -86729 rounded to the nearest one thousand?\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 4762472.09007?\nAnswer: -4762468.09007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 202781 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(3)*3 + -1)**2 + sqrt(66)\/(sqrt(60)\/(sqrt(10)*-2)).\nAnswer: -8*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 867496 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - f - 5 = -18 - 35, -k - 21 = f for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 419470, 838927, 1258370, 1677793, 2097190, 2516555, 2935882, 3355165?\nAnswer: 3774398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3505365, -7010701, -10516037, -14021373, -17526709?\nAnswer: -21032045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 939577 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1890 - (2 + (-1)\/1). Let a = i + 1111. What is a rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q - q**2 + 3*q + 6*q - 9. What is the derivative of x(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 1560 = 3*c, 4*c - 1552 = c + 5*k. Let u be c\/12 + (-2)\/(-6). Let g(q) = q - 44 + u. Let o(w) = -4*w**2. Determine o(g(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b. Let q(h) = -773*h**2. Calculate r(q(k)).\nAnswer: 1546*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}