diff --git "a/data/dm_maths/full_data_1/10497_11255.jsonl" "b/data/dm_maths/full_data_1/10497_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10497_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the greatest common divisor of 10453 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five halves of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 30. What is the third derivative of k*v**5 - v**2 - v**2 + v**2 - 8*v**2 wrt v?\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (26 - 1) + 5 + (-40)\/8 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - ((-35)\/(-7) - 12). Solve 5*w + 34 = -3*q, -8 = 4*w - x*q - 2*q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2010.1 - -2010. What is the fifth biggest value in -1, -50, v, -1\/21, 0.3?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*r - z, -6502*r - 2*z = -6497*r + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 5 + 17. Suppose -5*w + 4*w = b*i - 73, -4*i = -16. List the prime factors of w.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*r - 5561 - 2759. What are the prime factors of r?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - -57 - (-8 + 29 - (-3 + 2))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*x)*(53232*x + 53085*x - 105310*x)*(2*x**3 + x**3 - x**3).\nAnswer: 6042*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3936 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i - 80 = 26*i. What is the remainder when 46 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 56 + s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - b - 2. Let m be n(-2). Solve 0*u - m = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 78*n**2 + 3*n - 3. Let q(u) = 3*u**3 - 155*u**2 - 5*u + 5. Give -5*f(z) - 3*q(z).\nAnswer: -4*z**3 + 75*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118783 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -271 or -4069\/15?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1523 - -80729\/53. Does 1 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19 and 1105.\nAnswer: 20995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*a = 1089, 5*a + 3785 + 516 = 4*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1153725 and -292 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-18)\/(-10) - 1)*5 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13811622691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from lwhllhllww.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1195 times -135\nAnswer: 16.1325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396 divided by 31083.\nAnswer: 132\/10361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/5 - 7*n\/5 + 4\/5.\nAnswer: -(n + 4)*(2*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 875 divided by -339?\nAnswer: -875\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -5. Suppose 2*d - m - 3 = 0. Suppose 2500 = -7*r + d*r. Round r to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1043 + -4?\nAnswer: -1047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.4, -3\/5, -795, -3 in descending order.\nAnswer: 3, 0.4, -3\/5, -3, -795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 739910 and 67557?\nAnswer: 15538110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 50?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.051 + 0.051. What is the closest to 0.1 in 0.5, l, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/24 + (6063\/252 - 1). Let x = n + -68\/3. Factor 0*s + 0 + 0*s**2 + x*s**4 + 2\/7*s**3.\nAnswer: s**3*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1 (c) 1.07 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 3*v = 44, -36*l - 6*v + 69 = -35*l - 14*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -1. Let z(n) = n**3 - 2*n**2 - 4*n + 1. Let f be z(t). Let l be (1600\/(-6))\/(f\/33750). What is l rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1171*b - 19745 - 35292 = 0 for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 4. Let a be q(2). What is the highest common factor of 24 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 + (-8)\/(-2))*-3. Let x(m) be the first derivative of a + 1\/4*m + 1\/12*m**3 + 1\/4*m**2. Find y, given that x(y) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.4 + 2. Let d = 92 - 96. Let p = 39 - 34. What is the third smallest value in j, p, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19276 and 4636.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265152 (base 7) to base 9.\nAnswer: 75306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -464272, -928533, -1392780, -1857007, -2321208, -2785377, -3249508, -3713595?\n\"Answer: j**3 + j**2 - 464271*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of i**4\/6 - 4*i. Let h(x) = 6*x. Determine p(h(z)).\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 3*y**2 + 2*y - 4. Let m = 20 + -12. Suppose -a + 0*r + m = r, -5*r + 31 = 2*a. Let q be u(a). What is the highest common divisor of 6 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, l: 4, h: 2}. What is prob of picking 2 l and 1 c?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -5, 1\/18, 7\/4, 9\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8832 and 414?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.663 to one dp.\nAnswer: -9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*(sqrt(11) + ((sqrt(1100)*-1)**2 - sqrt(1100)) - (sqrt(11) - (sqrt(11) - sqrt(121)\/(sqrt(44) + sqrt(11))))).\nAnswer: -1096 + 28*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19232162, 19232171, 19232180, 19232189, 19232198, 19232207?\n\"Answer: 9*h + 19232153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbvbvvvvbvvbvkvbbvvb. What is prob of picking 1 b and 3 v?\nAnswer: 88\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 + 3*q**3 - 10*q**2 + 4*q - 2*q**3. Let z be (3\/(-6))\/((-1)\/4). Let n(v) = v**2 + 1. Let f be n(z). Give s(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 162, 366, 652, 1020?\nAnswer: 1470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13406 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 0*m - 20*m)*(0 + 2 + m + 1) to n*m + k*m**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18759.009 months in centuries?\nAnswer: 15.6325075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + p + 5. Let m be f(0). Suppose -11 = -m*l + 4*a - 5*a, l = 3*a - 1. Solve y - l = -7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 6499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -210 - -210.4. What is the second smallest value in m, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 12. Suppose -g*b + 81 = d, -b = d - 11 - 6. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*u + 22 = 437*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*s = 2061*s - 158907 for s.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-231)\/(-110) - 2)*2. What is the closest to 1\/3 in u, 1, -8, -2\/17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -34. Is m\/(-3) - 1144\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -20. Is u a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 15401582535?\nAnswer: -15401582540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**6\/120 + d**5\/20 - d**4\/12 - 2*d**3\/3 - d**2. Suppose -a = -14 + 6. Let v = 5 - a. Give n(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 25. Let o(p) = -p + 6. Let w be o(h). Sort -5, w, 4 in ascending order.\nAnswer: -5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*o + 13*o - 18*o**2 + 9*o.\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869722812 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, k: 7, p: 6, s: 2, j: 3}. Give prob of picking 2 k and 1 q.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4060 is divided by 931?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -1\/120*h**6 + 0*h - 1\/20*h**5 + 0 + 0*h**3 + 0*h**4 + 5*h**2. What is the third derivative of v(a) wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*p**2 + 29*p**2 + 158*p**2.\nAnswer: 300*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 183?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-2 - (4 + 2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + f. Let s(o) = 30*o**2 + 3*o - 34. Let j(r) = -3*c(r) + s(r). Differentiate j(w) wrt w.\nAnswer: 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 2133754.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1274\/(-4459)*(-1)\/(-5)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o. Let l be (-272)\/(-96) + (-5)\/6. Let c(k) = -7*k**2 + 312*k - 7*k**l - 312*k. Give s(c(q)).\nAnswer: -70*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 45*17\/(-306)*(-8)\/(-598). Are -2 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2704 - 2771. Is j less than or equal to -86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 2. Let w be y(4). Let k be 32 + 1\/1*(-8)\/8. Let u(g) = -g**2 + 12*g + 0 + 1 + 21*g - k*g. What is u(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 3*l + 8. Let o be s(5). Let h be (-119)\/o*(-5 - -3). Let p = h - -246. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4958037 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 11:47 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 430033 and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (368\/(-4416))\/(((-8)\/(-6))\/2)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/29824 and -61\/336.\nAnswer: 626304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/2)\/n)\/n**(15\/7))\/(n**(4\/7))**(11\/5) assuming n is positive.\nAnswer: n**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + (-21 - (-18 - -8)) + 42.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 970838 (base 14) in base 16?\nAnswer: 4dfca2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9599.\nAnswer: 29, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -10.75. What is n rounded to 1 decimal place?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 285 - 284.91. What is the third biggest value in 0.1, -6, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 68, 61, 54, 47, 40, 33?\n\"Answer: -7*s + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 1:20 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.5 (b) 1905\/31 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 2:01 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -825*w**4 - 817*w**4 + 2467*w**4 + w**2 + 14 - 820*w**4 + w**3 to n*w**2 + g*w + z*w**4 + y*w**3 + c and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from apsmvai.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -19334690.\nAnswer: 1\/3866938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*x + 2*x. Suppose -p = -k + 3, 2*p + 5*k - 8 = 21. Suppose p = -v + 7. What is the highest common factor of v and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1.2. Let p = 4.55 - 3.9. Let m = -0.25 + p. What is the second biggest value in 4, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/2 - 133\/(-70). Let w = 0.1 - 0.2. What is the closest to -4 in t, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010000110111010100 + -10100001?\nAnswer: 11010000110100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + 6*sqrt(66)*2 - (2*sqrt(66) - sqrt(66))*-1)\/((sqrt(486) - 2*sqrt(486)) + -2*sqrt(42)\/sqrt(7)).\nAnswer: -14*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 2*v + 30, 3*i + 8*v = 7*v + 7. Suppose 44 = 6*r - i. Solve 2 = 2*b - r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 4*g**2 + 4*g + 10. Let b be q(-4). What is the nearest to b in -4, 0.5, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from hqiqyhaahwhaqhywhi?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -5*d + 5*w, -2*d + 4*w - 26 = -w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - p + 6)*((-1 + 1 + 2)*(p**2 - 2*p**2 - p**2) - 83 + 83 + 14*p**2).\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 3, -5, 4 in ascending order.\nAnswer: -5, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 85 = 2*x. Let q(r) = -8*r**2 + 8*r - 17. Let v(b) = -3*b**2 + 3*b - 6. Let s(h) = x*v(h) - 6*q(h). Find the second derivative of s(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 4 - -16) + 2\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 3474832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1633 or -1630?\nAnswer: -1630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 6\/5 (c) -3\/34 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-27) + (-8)\/6)*-2. Suppose 0 = 2*r + 3*k + 6 + 4, 3*r + j*k = -10. Does 4 divide 576\/63 - (13\/(-7) - r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -3*20\/15. Suppose -l*p - 2*b + 224 = 0, 2*p + b - 5*b = 112. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 3:40 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/414 and 83\/198.\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w + 34. Let v be i(16). Let c(u) be the second derivative of 0 - v*u + 1\/4*u**4 + 0*u**2 + 1\/2*u**3. What is the second derivative of c(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72451*g**3*x**3 + 11*g**3 - 3672*g*x**2 wrt x?\nAnswer: 434706*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i - 2320 + 332 + 995 + 2*i + 993 + 3*i.\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9}. What is prob of picking 2 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4 - 5*s**3 - s**2 + 2 + 4*s**3. Calculate the lowest common multiple of d(-2) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1 + -1 - (-23 + (36 - 6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 11*y + 35. Determine o(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/9)\/r**(6\/7) assuming r is positive.\nAnswer: r**(-68\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 92 - 6*42\/36. Let z = 20 + -3. What is the greatest common divisor of w and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1930*i**4 + 19893*i**3 - 10345*i**2 - 37 - 5925*i**4 - 1445*i**5 - 63 - 5888*i**3 + 1880*i = 0.\nAnswer: -5, 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, v: 3, l: 2, y: 1, c: 1, i: 3}. What is prob of picking 2 l and 2 v?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7511683001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2585*b**2*f**2 - 10*b**2 - 5*b*f + 9*f**4 + 141*f wrt f.\nAnswer: 5170*b**2 + 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5))**14\/((t\/(t*(t*t**(-6\/5)*t)\/t))\/t**(-37)) assuming t is positive.\nAnswer: t**(-158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23299 - -4?\nAnswer: -23295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 7:46 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 149833320 a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90817 and 7837?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11865 - 6445. What is w rounded to the nearest one hundred?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -116 - (-89 + 73 - ((-17 - 7) + 4))?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1381.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (207\/2205)\/(-23)*505\/202?\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.24*27.48\nAnswer: 6.5952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from bcubuzzucbbuubzuc?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 334582 and 309440?\nAnswer: 1934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101 - -115. What is the lowest common multiple of t and 0 + 22\/(-1 + 2)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12218, -48564, -109074, -193754, -302610, -435648?\nAnswer: -592874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9*i + 159. Let s be w(-17). Which is the third smallest value? (a) s (b) 1 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a tonne in kilograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 18*z**2 - 46*z + 302. What is h(-10)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-25)\/15)\/(2\/(-6)). Suppose 3*p - 27 = -5*s, 5*p - 5*s + 0*s = g. Solve p*h = -5*i + 25, 0 = 3*i + 2*h - 7 - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + -7 - -13) + 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*c + 0 = 6, 3*c = 6. Suppose h + 2*j - 26 = 0, -j = -f*j - 3. Calculate the remainder when h is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-30) + (-6)\/(-28).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3 + 3*o**2 + 3*o - 2 - 1. Let n be y(-2). Solve -5*c - 13 = -2*d + n, 5*d + 40 = -5*c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 8:28 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -7. Let l = 2 - 2.3. Which is the smallest value? (a) l (b) r (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 14*y - 8. Suppose i + i = 0. Let r be (-7 + -1 - i) + 0. Let u(a) = 9*a - 5. Suppose 2*x = 3 + 7. What is r*u(z) + x*k(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58204 is divided by 1121.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41, -258, -845, -1988, -3873?\n\"Answer: -31*w**3 + w**2 - 3*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -305, -587, -843, -1073, -1277?\nAnswer: -1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5492.36 kilograms in milligrams?\nAnswer: 5492360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 3 - -5 - 3. Let u be (-2)\/j + (-108)\/(-3). Let c(q) = -q + 73 - 39 - u. Determine c(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10.42, -1, 0?\nAnswer: 10.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 291, 0, -895 in descending order.\nAnswer: 291, 0, -1, -4, -895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**6\/540 - 2*c**5\/135 - c**4\/36 + 23*c**2. Let p(n) = 0. What is n?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/6 + 183149*q\/3 - 2563988\/3 = 0. What is q?\nAnswer: 14, 366284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 64 + 376*j.\nAnswer: 376*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*(sqrt(108) + 0) - (-1 + -1*sqrt(108) + sqrt(108) + (sqrt(108) - sqrt(108)*-2) + -2))**2.\nAnswer: 84*sqrt(3) + 5293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(24\/2)*5*(-2)\/10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-7) - (-676)\/14. Suppose 0 = h - 12 - c. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8764352 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461 = 4*n - 267. Let d be (-28)\/n - 30\/(-26). Let y be -1 - -10*(-4)\/(-56). What is the nearest to y in d, 2\/11, 0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118727809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18024 divided by -3004.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in -1\/6, 2\/19, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 5291265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 - 11*r**2 + 29*r - 23. Let v be x(3). What is the highest common divisor of v and 2432?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*d - 9334 - 7063 - 2480 = 0 for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/12239909 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 7*d - 4. Let b be x(-6). Suppose 2*a + b*t - 150 = 0, 5*a = 2*t - 164 + 567. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.00026 + -0.992. Round f to 4 dps.\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4288 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*c + 24*c + 15. Let t(m) = 66 - 2*m - 66. Let r(z) = -3*z. Let x(a) = c*t(a) + 3*r(a). Let o(n) = -n**2. What is o(x(w))?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6505038 divided by -3831\nAnswer: 1698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.828 - 10584422?\nAnswer: -10584420.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 824 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 5*f + 1. Let c be l(-4). Suppose -a + u = -u - 2, -5*a + 16 = -4*u. Let p be 24\/a + -1 + -3. Solve -5*o = 5*h, 2*h - p = -c*o - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -289875818*h + 133067363?\nAnswer: -289875818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 10:08 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.03583375 rounded to 2 dps?\nAnswer: -13.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 0*j**2 + 0*j - 1 - 1\/3*j**3. Let f(o) = -6*o**2 + 2*o**2 + 5*o**2. Determine r(f(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 956 = 986 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*z = 3*m + 889, -6 = 2*m. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42504, -85007, -127510?\n\"Answer: -42503*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3, -4 = -y + 4*b + 11. Suppose -2*i = 3*i. Suppose i*g = g - y. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9402*s - 336869 - 471703 = 0 for s.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 2 + 2 - 5*m**2.\nAnswer: -5*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 2*d + 6. Suppose i + 11 = 9. Let g be h(i). Let w = 8 + -4. Sort 2, w, g in descending order.\nAnswer: w, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163 by -7.\nAnswer: -163\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(405))*4.\nAnswer: 8 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2517?\nAnswer: 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/3 and -149\/51612?\nAnswer: 51612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/((t\/t**(-1\/4))\/t))**(-14))**(-26) assuming t is positive.\nAnswer: t**637","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 12*p - 7*p = 4761, y - 1565 = 2*p. Is 44 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -427, 1520, 3657, 5984, 8501, 11208, 14105?\nAnswer: 17192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 0.2735, 21.9, 0.2 in decreasing order.\nAnswer: 21.9, 4\/9, 0.2735, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*c + 2*y + 2, -5*c - y = -3. Let k be 0\/(-5) + 5 + c. Solve 10*p = k*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-1 - -7) + 2 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -5 (c) -0.124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 406\/28 - 10 - (-72)\/6. Let o(s) be the first derivative of f*s**2 + 0*s + 9*s**3 + 28. Find the second derivative of o(t) wrt t.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 337*t**3 - 10*t. Let k(r) = -341*r**3 + 9*r. What is 7*k(m) + 6*v(m)?\nAnswer: -365*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -30034\nAnswer: -60068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - i + 4)*((i + i - i)*(i + 0*i + 0*i) + i**2 + 3*i**2 - 2*i**2 - 6*i**2 - 19*i**2 + 14*i**2 + (-3*i - 2*i + 4*i)*(-i + i + i)).\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o. Let f(q) = 5*q. Let y(c) be the second derivative of 6*c**3 + 6*c. Let u(x) = -35*f(x) + 5*y(x). What is t(u(j))?\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68479*n**3 + 205398*n**3 - 68462*n**3 - 68462*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -11 - 13. Sort j, 0, 11.\nAnswer: 0, j, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -8. Put -5, h, -0.01 in decreasing order.\nAnswer: h, -0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1193566653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72\/7 + -10. Which is the closest to r? (a) -2 (b) 51 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 4*m + m. Suppose -2 = -2*i + i. Suppose 3*t + i*t + m = 4*p, p = 2*t + 6. Solve p*c - c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4247 or -1?\nAnswer: 1\/4247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5497417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 155*v - 4772. Give u(36).\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.02 (b) -6\/11 (c) 0 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7504913*q**3*x**2 - 2*q**3*x - 8822653*q*x wrt x?\nAnswer: -15009826*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -10*o**4 - 754*o**3 - 1040*o**2 - 296*o = 0.\nAnswer: -74, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g + 9. Let s be 2\/4 - (-327)\/(-6)*-1. Suppose -12*p - s = -p. Let j(m) = -4*m - 13. Calculate p*j(k) - 7*q(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(32\/(-24))*1*(-32)\/(-984)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 119163 and 181335?\nAnswer: 4170705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*j**3*v + j**3 + 64*j**2*v - j**2 - 125*j*v + 7202*j + 9*v - 194 wrt v?\nAnswer: 10*j**3 + 64*j**2 - 125*j + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28.917279 + -0.051319. Let m = 95.86647 - b. Let p = 67 - m. Round p to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 121*l**3 - 13*l**2 - 15. Let o(u) = 61*u**3 - 6*u**2 - 7. What is -13*o(j) + 6*x(j)?\nAnswer: -67*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**4 - 44*k**2 + 48*k + 87. Let q(l) = 11*l**4 - 88*l**2 + 96*l + 173. Let m(o) = -3*q(o) + 7*t(o). Solve m(s) = 0.\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/3 + ((-256)\/(-36) - 9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -12, -21, -30?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42\/1609 or 1?\nAnswer: 42\/1609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 75. What is the remainder when q is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1282 = 2*u, -3*f - 3*u + 647 = -f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*n + 10 = 0. Suppose -8*r + 12 + 4 = 0. Find j, given that -2*j + r*j + 0*j**3 - 8*j**n + 4*j**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -62.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -4 - (2 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -i - s + 48, 5*i = -5*s + 180. Let m be (((-42)\/15)\/7)\/(i\/(-10)). Which is the nearest to -8? (a) m (b) -0.3 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1302, 2569, 3836, 5103?\nAnswer: 6370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**5\/60 + x**4\/3 + 13*x**3\/6 + 33*x**2. Give m(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*h - 8 = -r, 0 = -r - 4*h + 1. Put 5, 3, r, 2 in increasing order.\nAnswer: r, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10054240 by 80.\nAnswer: -125678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i. Let y(h) = 19*h. Let n(q) = -6*q. Let u(l) = -11*n(l) - 4*y(l). Give u(s(g)).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10365.\nAnswer: 3, 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 3)*24\/(-420). Let y = 6 - 4. Let u = y + -2.2. What is the smallest value in u, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + q - 7 + 24, -4*l = -2*q - 10. Calculate the greatest common factor of 68 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.031119 millilitres?\nAnswer: 0.001031119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -137.1 * 1.2.\nAnswer: -164.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1825509 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 14.95. Let i = -0.55 - u. What is the third smallest value in i, 2, -0.06?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - n**2 + n + 12. Let a be 0 + 1 + 4\/2. Suppose a*y = y. Calculate d(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*g**3 + 435*g**3 - 107*g**3.\nAnswer: 446*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2839, 1840, 14537, 39260, 80017, 140816, 225665?\nAnswer: 338572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2 - -1)\/(-4))\/((-1525)\/(-300) + -6)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.22504nm to centimeters.\nAnswer: 0.000003822504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 169235 and 43945?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.262 to 1 dp.\nAnswer: 14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**2 - 65 + 5 + 8*u**2)*(-u - 1 + 1).\nAnswer: -u**3 + 60*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10298873 to the power of 1\/2, to the nearest integer?\nAnswer: 3209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**10*s\/s**(1\/18))\/(s\/((s*s\/(s*s**(-2\/5))*s*s)\/s)*s*s\/(s\/s**(-2\/11))) assuming s is positive.\nAnswer: s**(-7399\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**4\/8 - w**2. Let s(d) = -d**2 + 4. Let r(v) = 3. Let t(o) = -4*r(o) + 3*s(o). Give t(n(k)).\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 14.3. Let i = o - -0.7. Let t = 0.33 - 0.03. Sort -2, i, t.\nAnswer: -2, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1, -0.1, 86\/17, 1\/9, 1\/11, 0.19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*m - 1722 = -30*m + 3008 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 607664007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2. Let p(k) = 3*k - 23. Determine u(p(i)).\nAnswer: -18*i**2 + 276*i - 1058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -781*o**2 + 271*o + 204784 wrt o.\nAnswer: -1562*o + 271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + (-14)\/(-2))\/((-18)\/(-279)). Suppose -30*a + s = -31*a. Which is bigger: a or -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.8510227 weeks?\nAnswer: 514698528960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 25. Let u be r(-13). Let v be (4\/12)\/((-2)\/u). What is the second derivative of 11*j - 188*j**v + 188*j**2 - 18*j**3 wrt j?\nAnswer: -108*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171840758 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163352 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 5:19 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 3686734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5505 = 3*h - d, h - 2 - 1819 = 5*d. Is h a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4278221 (base 10) to base 15\nAnswer: 59794b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 65, -35, -0.2, 7.61?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256612956 divided by -3.\nAnswer: -85537652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 2*g**3 + 2*g**3 + (0*g - 3*g + 2*g)*(-3*g**2 + 3*g**2 + 3*g**2) + 2*g**3 - 1 + 1 - g**3 + 5*g**3 - 2*g**3 + (3 - 3 - g**2)*(2*g - g - 3*g).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 4:41 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -34 in decreasing order.\nAnswer: 0, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1010)\/4545*((-36)\/(-1))\/3)\/(-2).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 9*g**3 - 4*g**2 - 6*g - 1. Let o(i) = 8*i**3 - 3*i**2 - 5*i - 1. Let l(t) = 6*o(t) - 5*x(t). Determine l(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2242133 = 2*c + 786497, -3*c = b - 2183450. Suppose -2357817 = -u - c. Round u to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29035 and 40649.\nAnswer: 203245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 8*z + 5*s - 60, 4*z = 2*s + 130. Let a be (5\/10)\/((-1)\/(-14)). Calculate the highest common divisor of z and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 1:18 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-4 - (-4 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 816 and 32.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -88187, -175899, -263613, -351329?\n\"Answer: -o**2 - 87709*o - 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -3*x**6\/40 - 3*x**5\/40 + x**4\/6 + x**3\/4 + x**2\/8 - x + 74. Suppose b(q) = 0. Calculate q.\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 2:48 AM and 11:55 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 8:58 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**4)\/(c*c*c**(3\/4))*(c**(-2\/15)*c)\/(c*c**(-2\/5)))\/((c\/(c*c**(-1\/2)*c))\/((c**(-2)\/c)\/c*c))**(31\/2) assuming c is positive.\nAnswer: c**(-1087\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 39a032?\nAnswer: -39a036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -545637, -545583, -545431, -545133, -544641, -543907, -542883, -541521?\nAnswer: -539773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2992473 (base 11) to base 10\nAnswer: -5127576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01217539 rounded to four dps?\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3))**(6\/19)\/(q\/(q\/(q**(-1\/4)\/q)))**31)\/((q**1\/q)**(-22\/9))**6 assuming q is positive.\nAnswer: q**(2953\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 19*s + 3. Let i(v) = -2*v**2 + 19*v + 4. Give -3*i(h) + 4*l(h).\nAnswer: 2*h**2 + 19*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 273\/20 + -67\/5. Which is bigger: 3\/227 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3582844?\nAnswer: 2, 821, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u + 2*h + 26, 5*h = 0. Suppose 5*w + 4 = -u. Let i = w - -6. Solve -3*c - c + 4 = i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 8*t**2 - 2*t - 16. Let p be j(-8). Let h = 5 - 2. Determine z, given that -12*z**3 + 16*z**2 + 38*z + 12 + 2*z**3 + p*z**h = 0.\nAnswer: -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -413430.9?\nAnswer: -41343.09","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbpupbb. Give prob of picking 1 b and 2 p.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + i - 1. Let q(p) = p**2 + 5*p - 6. Determine -q(l) + 6*s(l).\nAnswer: -7*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 135791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -7*g**6\/30 + g**4\/4 + g**3\/3 - 26*g**2 - g - 138. What is the second derivative of p(q) wrt q?\nAnswer: -84*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f - 21. Let z be q(-5). Suppose -4*n = -2*k - 500, -5*k + 7*k = 0. Let c be n\/75 - (-4)\/3. Calculate the highest common factor of c and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3, -2, -12, 0.2 in descending order.\nAnswer: 3, 0.2, -0.5, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -20334487?\nAnswer: -20334486.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 246789\/10 + -137971\/5. Let y = w + 22484\/5. Let b = y - 1550. Calculate the common denominator of b and 34\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 11477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-1)\/12*9\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 0. Let c = 36 + v. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128 + -88. Let s = 40.0027 - u. What is s rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**5 - 654*v**4 + 102666*v**3 + 1484272*v**2 - 25454187*v - 26835138 = 0.\nAnswer: -22, -1, 11, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/13 + 1386*c\/13 - 1384\/13.\nAnswer: -2*(c - 692)*(c - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2814*a**4 - 433*a**2 + a - 2. Let n(o) = -8443*o**4 + 1300*o**2 - 5*o + 7. Let z(x) = 2*n(x) + 7*u(x). Find the third derivative of z(j) wrt j.\nAnswer: 67488*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2\/5, -0.9, 30, -706, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2292*m**3\/7 - 36460*m**2\/7 - 143296*m\/7 + 13568\/7 = 0. What is m?\nAnswer: -8, 53\/573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*((sqrt(2299) - 4*(-1 + sqrt(2299))) + sqrt(2299) + sqrt(2299))*2*4*-5)**2.\nAnswer: -36044800*sqrt(19) + 948224000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v - 8. Suppose -3*t = -2*t. Suppose 5*w - 45 = -3*f, t*w - w + f + 1 = 0. Let u be a(w). What is u rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.21 - 3.21. Let d = -187.4 - -187. Let u = 23 + -22. Put h, d, u in descending order.\nAnswer: u, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + 2*sqrt(88))*-4)\/((sqrt(64) - -1*sqrt(64))\/sqrt(8)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a week in minutes?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8694 = -12939*c + 12732*c for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.9 and -34358 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 6*f**2 + f - 3. Suppose 5*g + 0*z + z = 143, -47 = -2*g + 3*z. Suppose 2*j = 5*q + 49, 2*q + 24 = -8*j + 9*j. Let k = g - j. What is t(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32310810 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -5, -12, 1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/25 and -21\/605.\nAnswer: 3025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10.4594 * -13\nAnswer: 135.9722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -1\/4, 0.5, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25586562.\nAnswer: 2, 3, 1747, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 12*v**2. Let i(w) = -1034*w + 396. Let g(u) = -39*u + 15. Let p(t) = -132*g(t) + 5*i(t). What is p(d(s))?\nAnswer: -264*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517815543 is divided by 129?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**7\/42 - r**4\/4 + 77*r**3\/2 + 20*r**2 - 4*r. Find the first derivative of u(w) wrt w.\nAnswer: 20*w**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 539295*a + 8089407. Determine k(-15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/872 and 79\/29648.\nAnswer: 29648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 4 = 4*z, 3*z - 6 = 4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 15. Suppose -5*r - 5*y = 45, r - y + 5 = -g*r. Let q be 6\/21 - 33\/r. Solve 2*o = 7*o - q, -d + 5 = 4*o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-6)\/3 + -1. Suppose -q*p = -20 - 40. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10253 equal to -32807?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/31))**31 assuming j is positive.\nAnswer: 1\/j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-one fifths of a micrometer?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x. Let o(a) = -5*a**2 + 134*a + 37. Let q be o(27). Let h(i) = 14 - 30 + q + 19 + 12*i. Give c(h(v)).\nAnswer: -24*v - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6942342 by -2.\nAnswer: 3471171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**2 + 2750*d + 378125 = 0.\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.642 - -0.642. Which is the closest to u? (a) 0.1 (b) -1 (c) 1 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p**2 - 35*p + 2. Let i(j) = -3*j + 70. Let n be i(24). Let t(d) = -35*d**2 - 250*d + 15. Let b(x) = n*t(x) + 15*c(x). Factor b(y).\nAnswer: -5*y*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -747 - -747.01138. Round r to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 14. Let t be (0 + 0)\/(14\/n). Solve y - 2*y - 4 = t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -18742*i + 93687. What is c(5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 2. Let n be o(11). Suppose 3*z - n = 5*k, -3*z + 6 = -z - 3*k. Solve 2*d + 3*w - 17 = -2*d, 2*d + z*w = 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780768.\nAnswer: 2, 3, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -16*j - 6. Let w(u) = 2*u**2 - 3*u - 2. Let h(l) = 2*l**2 - 3*l - 2. Calculate j*h(x) + 3*w(x).\nAnswer: 2*x**2 - 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 36169?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13347771.\nAnswer: 3, 17, 261721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (-1 + sqrt(208))) + -4 + sqrt(26)\/sqrt(2) + ((-3*(sqrt(65) - (sqrt(65) - -3*sqrt(65))))\/sqrt(5))**2.\nAnswer: -2*sqrt(13) + 1050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -25 * -146\nAnswer: 3650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611465515 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4090 is divided by 243?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.07, -3\/5, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 125*x**5 + x**4 - 192285*x**3 + 616149170*x**2?\nAnswer: 7500*x**2 + 24*x - 1153710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from pkpzpzpdxd?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 4*q**2 + 5. Let w be -2 - (-1 - 0)*7. Let l be t(w). Suppose a - l = -2*a. Calculate the remainder when 18 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/3 + -11\/12. What is the closest to -1\/4 in v, 0, -5\/2, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30002 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, 6, -4, 3464, 0, -3 in decreasing order.\nAnswer: 3464, 10, 6, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 30 = -4*b + 2*n, -4*n + 20 = -2*b. Let w be (-4 - -4)*4\/b. Let d(x) = x**3 - 6. Calculate d(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 697104, 697102, 697100?\n\"Answer: -2*f + 697106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2554570 is divided by 13236?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4.4, -0.1, 499, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**11\/z)\/z*z*(z\/z**(2\/19))\/z)\/(z**(1\/9)*z\/(z\/z**13)) assuming z is positive.\nAnswer: z**(-550\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**4 + z**3 + 1. Let m(u) = -14*u**5 + 5*u**4 + 5*u**3 - 13*u**2 + 5. Let w(c) = 5*b(c) - m(c). Find the third derivative of w(n) wrt n.\nAnswer: 840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2224*c**3 - 2106*c**3 + 4295*c**3.\nAnswer: -35*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 5:47 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-11)\/(h**(3\/4)*h)*h**(1\/25)\/(h*h*h\/(((h\/(h\/((h\/(h\/h**(7\/4)))\/h)))\/h)\/h*h)) assuming h is positive.\nAnswer: h**(-399\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709996485?\nAnswer: 3, 5, 11, 563, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 76 - -1795. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 24. What is the second biggest value in 0.3, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 3*n**2 - 2*n + 3. Let x be j(2). Suppose -x*u - 3*b - 57 = -198, -u + 2*b + 38 = 0. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 - 7*f**2 - f - 27. Determine v(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112385 and 490.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23336593 is divided by 4749.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 206 = 2*u + 214, -4*g + 10 = 2*u. Put -2, g, 1, -1, 7 in decreasing order.\nAnswer: 7, g, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 22 = z - 2, 0 = 4*w - 5*z - 32. Solve -v + 1 = 0, 7*v - w = -3*s + 5*v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134888 is divided by 44832.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*w - 240, -3*j + 2*w + 700 = 6*w. Is 58 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 204.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**4 + 392*a**3 + 1202*a**2 - 1592*a = 0.\nAnswer: -4, 0, 1, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -733540*r**3 + 1025*r**2 - 33*r - 355563 wrt r?\nAnswer: -4401240*r + 2050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1103*h - 6302*h - 4725*h + 575*h + 766618 for h.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 69*r + 7045. Determine i(-47).\nAnswer: 3802","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.553 rounded to 1 dp?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 565*q + q**3 - 565*q.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4*40\/12. Suppose -o*q = -518 - 32. Suppose 0*l + 2*l - q = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -719 - -674. What is the remainder when 41 is divided by 14*(-4 - i\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/85, 5, 0.3, 2\/23, -2\/9, -2, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3033117 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1*(7 - 6)*2\/(-4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 2:24 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/144 and 155\/2685816.\nAnswer: 5371632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(6) - (sqrt(6) + sqrt(48)\/sqrt(8))) + 4 + sqrt(95)\/sqrt(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -12*v - 82. Let n be g(-7). Let u = 87 - 82. Solve -u = n*s - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381.538458 minutes in weeks?\nAnswer: 0.0378510375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/9 - 20686*y**2\/9 + 61282166*y\/9 - 12901844494\/3.\nAnswer: 2*(y - 4741)**2*(y - 861)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 81\/((-105705)\/(-70560)) - 54\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 - 5*c**2 - 3*c + 3. Let m be v(-3). Suppose 2*p + m = 5*p. Let a(b) = b**2 + b - 7. Is a(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/4)\/((-10)\/(-4)). Let z = 178.4 - 34.4. Let o = -144 + z. What is the smallest value in g, 0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76053505 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36b61 (base 13) in base 14?\nAnswer: 28a43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -w + 3*w. Suppose w*x = -2*x + 720. Suppose -8 = -2*m, -5*c = 2*m + 3*m - x. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 92\/16) + (-2)\/8. Is -2 + m\/(-2)*(-363)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 15. Suppose -i*j = -4*x + 24, 0*x - 2*x + 3*j = -14. Let h(w) = -4 - w - 4 + x + 0. Determine h(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 849 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55678 a multiple of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-648)\/729)\/(8\/(-3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2220370, 2220435, 2220502, 2220571, 2220642, 2220715, 2220790?\n\"Answer: o**2 + 62*o + 2220307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 1 - 7*m**3 - 13*m**3.\nAnswer: -20*m**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.2 + 0.2. Let l = z - -12.1. What is the closest to l in 1, -0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 78832 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8 - (-366)\/(-18)) + 9. What is the smallest value in -4\/15, 4\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**3 + 2*q**3 - q**3 + (7 - 7 - 27*q)*(5 - 5 + 3*q**2) + q**2 + 3*q**3 - q**2 as w + i*q**3 + s*q**2 + k*q and give i.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/35 + (-4)\/(-10). Let l = 6 - 6. Let a = -2 - l. What is the biggest value in a, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*f = 39*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90351 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0048 + 175?\nAnswer: 174.9952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r - 56*r**3 - 53*r**3 - 1 - 3*r**2 + 110*r**3.\nAnswer: (r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 1. Let l be c(1). Solve 0 = -2*t + 4*z + 10, 20 = l*t + 2*t + 3*z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -8*i**3\/3 - 16884*i. Suppose 0 = -3*r + 3*q + 21, -5 = q - 0*q. Let l(v) = v**2 + 4*v**2 - r*v**2. Give l(k(a)).\nAnswer: 768*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*i**2 - i**4 + 65*i**2 + 3*i**5 + 48*i + 23*i**2 + 3*i**3 - 17*i**4.\nAnswer: 3*i*(i - 4)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*j**5 - 3*j**4 + 90330*j**2 + 1565365*j?\nAnswer: -960*j**3 - 36*j**2 + 180660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**2 + 109*p - 63. Let t(d) = 8*d**2 + 173*d - 95. Let a(u) = -11*k(u) + 7*t(u). What is a(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 80\/8 + 1 + 2. What is the biggest value in -2, i, 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**2 + 4 - 713771*n - 3*n**2 + 713729*n + 0 in the form o*n + k + q*n**2 and give o.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/6590 and -89\/1318.\nAnswer: 6590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 111223552 (base 7) in base 12?\nAnswer: 2313934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 82\/(((-6)\/258347)\/(-3)). Suppose -j - 3007773 = 4*o. Round o to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -303826\/7 - -43253. Let z = -151 - g. What is the nearest to -1 in 0.2, z, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*v + 167 = 232*v - 54 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 974 = u + 969. Solve 5*n + 4 = -4*l + 13, 45 = -u*l + 5*n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - s + 4, 3*s + s = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -197400 rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 29*p**2 + 63*p + 44. Let f be 2\/(471\/(-93) + (-8 - -13)). Calculate the remainder when 23 is divided by w(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/25 - (-2 + (-12)\/(-5)). Which is smaller: 2\/251 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-141140)\/6)\/(-5)*(-6)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9797597 to the nearest integer?\nAnswer: 3130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -7*y - 2 + 19, 93*s = -y + 89*s - 19 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173441 is divided by 86717.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 1. Suppose 4*w - y*w = -4*z - 16, -w = 5*z + 21. Suppose 2*a - w - 10 = 0. Solve 3*p - 5 = a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + (sqrt(448) - (sqrt(448) + -2))*-5) + -5)**2.\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1425335656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Let b(p) = p**3 + 4*p**2 - 4*p + 7. Let n be b(-5). Factor l**n - l**i - 2*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11055*p - 11072*p + 22130*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -92, 0, 3, 459, 4, -0.3 in decreasing order.\nAnswer: 459, 4, 3, 0, -0.3, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 9457?\nAnswer: -3\/9457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (121\/(-33) - (-6)\/9) + -2 - (-377)\/3016.\nAnswer: -39\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 106, 209, 312, 415, 518?\n\"Answer: 103*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjf when three letters picked without replacement from jbnlfzb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -186d (base 14) to base 16.\nAnswer: -1139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2141194621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5123 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2106010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 3*p**2 + 4*p - 6*p)*(-2*p + 0*p - 2*p).\nAnswer: 12*p**3 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 290 and 2755?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhhhphhhh. What is prob of picking 2 h?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 0*a**2 + 4 + 0*a + 3\/4*a**4 + 3*a**3. Factor y(n).\nAnswer: 3*n**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -127 + 47. Find the second derivative of 28*j**2 + z + 20*j**3 - 13*j - 25*j**2 - 10 + 2 wrt j.\nAnswer: 120*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*x + 9*x + 5*x**2)*(0*x + 2*x - 863 + 861) in the form d*x + y + c*x**3 + s*x**2 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is c9199 (base 13) in base 4?\nAnswer: 1120210300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -42. Factor -g*y**2 + 68*y**2 - 19*y**2 - 25*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1343763 is divided by 335912?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from jwjww?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 928 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000039529511 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.865*-0.6.\nAnswer: 15.519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-20))\/((-3)\/(-495)). Let r = c - 88. Let n be r - (30\/5 - 4). Sort 0, -3, n.\nAnswer: -3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 22?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - w**2 + 2. Let h(f) = -f + 1. Let o be h(1). Let k be l(o). What is the third derivative of 0*m**2 - 2*m**2 - m**6 + k*m**6 wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49214 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 668595.8l to millilitres.\nAnswer: 668595800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -317 + 94*o - 2125*o + 317 as u + a*o and give a.\nAnswer: -2031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 - 60*c**2 - 3*c - 61. Let r be t(-30). Solve -4*w - 5*n - r = 0, 5*n = w + 2*w - 22 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -133*z + 66*z + 5*z**2 + z**3 - 3 + 69*z. Let f be x(-3). Differentiate 4 - f*p + 3 - 12 - 18 wrt p.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77222*j - 11*j**2 + 38631*j + 38592*j.\nAnswer: -11*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 6*b - 20. Suppose 217 - 52 = -b*m. Let w = m - -69. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(300)*-1 - (1 + (-4 + -2*sqrt(300))**2))*-2.\nAnswer: 340*sqrt(3) + 2438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1725)\/(-180) + 1\/6. Let u = -97\/12 + j. Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 2*n - 2 + 3 + 4*n**2 + 0*n**2. Let w be t(3). Suppose -w*c + 85 = c. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/440244 and -76\/3.\nAnswer: 440244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1986833?\nAnswer: 293, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -7.5. Let y = -5 - l. Let k = -0.3 - -0.4. What is the closest to k in -1\/3, 1, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l + 5*o + 46, -3*o = 2*l - 40. Suppose a - 3*a - 4 = 2*b, -b = 3*a. Put b, l, 0 in descending order.\nAnswer: l, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 20*c + 0*c**2 + 13\/4*c**4 + 1 + 0*c**3. What is the first derivative of r(f) wrt f?\nAnswer: 39*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11100002 + -10?\nAnswer: 11022222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*s - 108. Suppose -7 + s = 2*q - 3*h, 5*h = 4*q - 36. Let f(a) = 4*a**2 - 1. Let m be f(-1). Solve 7 = -n - c, 8*n + q*c = m*n - 31 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 2*w = 6*h + 18, 3*h = 3*w + 15. Suppose -h*f - 12 = -0*f. Which is the biggest value? (a) 4 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/7 (b) -0.5 (c) -10 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 629, 6, -3, 4.\nAnswer: -5, -3, 4, 6, 629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1194.819 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 + 262. Let y = f + -280. Let w = y - -96. Let m(c) = -2*c**3 + c**2 + c + 1. Determine m(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -3*q**7\/35 + q**6\/40 - 13*q**5\/30 - q**4\/24 + 21*q**2. Find the third derivative of t(o) wrt o.\nAnswer: -432*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*o + 7 + 1 = -182*o. Suppose o - 4\/5*r**2 + 1\/5*r**3 - 7\/5*r = 0. Calculate r.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2552 + 4431. Let f = t - 746. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17905 + 0.07905. Is -657.3 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.01 (b) -0.2 (c) 12.7 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 836 = 14*t - 21844. Suppose 977 = 7*f - t. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 35. Let j = 8 + z. Is j greater than or equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15046 is divided by 14957.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 720.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 11*x + 39. What is the least common multiple of z(6) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 45726, 45760, 45816, 45894, 45994, 46116, 46260?\n\"Answer: 11*k**2 + k + 45714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 696652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 828 and 3565?\nAnswer: 128340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 47884.04km in millimeters?\nAnswer: 47884040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - p**2 + 4*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -892 divided by 7\nAnswer: -892\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(1\/4))**(-3\/35))**(-1\/18))**(-1\/7) assuming r is positive.\nAnswer: r**(-1\/5880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 - 0.08. Let z = q - 0.38. Let u = 4.9 - 5. Is z greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(288\/150))\/(14\/(-84)). Solve 0 = -184*w + 189*w + o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 110*v**2 + 10278*v. Let s(w) = 3*w**2. What is p(s(j))?\nAnswer: 990*j**4 + 30834*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3341613 to the nearest integer?\nAnswer: 1828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360107 - -3.28.\nAnswer: 360110.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232449 is divided by 220.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -0.4.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4*u + 4 = -c, -13*c + 16 = 4*u + u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(95)*3)\/((sqrt(55) + 2*sqrt(55))\/sqrt(11)) + ((sqrt(114)*-1 + sqrt(114))\/sqrt(6)*-6 + -3 + sqrt(2736) + 1)**2.\nAnswer: -54*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24, 3, -32, -81?\n\"Answer: -7*j**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 4*r + 84. Let u = r + 37. Suppose 0 = -2*d - 8, 4 = -3*g - 0*g - 4*d. Solve -g*s + u = -4*q, 2*s - 4*s + 8 = -3*q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 715123*a + 598 - 598.\nAnswer: 715123*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1805.3 + 1840.3. Suppose 3*b + b + 10 = -3*j, b = 5*j - 14. Suppose z = -4*c - 18, z + j*c + 5 + 5 = 0. Is z greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 6:50 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-12)*(-585)\/(-78)*(-4)\/20.\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1012)\/2024)\/(-2*2\/(-248))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 + -2.99. Let b = 3\/100 + 57\/100. What is the nearest to 0 in -0.1, b, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - j - 3*j = -9, 3*j = -3*l + 9. Let t(g) = -12*g**3 + 6*g**2 + 6*g. Let d(v) = -v**2 - v. Calculate l*t(s) + 6*d(s).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 15 = 5*t, 0*r - 3*r + 4*t + 23 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -746 (b) -0.04 (c) 3\/2 (d) 2 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) 1\/9 (b) 2 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**3*s**2*z - 30*m**3*s*z**2 - 6*m**3*z**2 - 4*m**3 + 15*m**2*s*z - 32*m*z**2 + 2*m*z - 14026009*s**2*z**2 wrt s.\nAnswer: -2*m**3*z - 28052018*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17079 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001370901 rounded to 6 dps?\nAnswer: 0.001371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2 + 6. Let k be (12\/30)\/(u\/150). Let t = 54 - k. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2636567310001*m**4\/4 + 13182830055001*m**3\/4 - 7909718167511*m**2\/2 + 9742511*m - 6 = 0.\nAnswer: -6, 2\/1623751, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 676*g = 671*g + 46715000. Round g to the nearest 100000.\nAnswer: 9300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(0*j + j + 7*j)*(8*j + 6*j**3 + j**3 - 8*j**3) to the form g*j**4 + o*j**2 + m*j + f*j**3 + i and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 5:46 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -2955.9.\nAnswer: 1182.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 + 5*p - 10. Give r(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 771052.6mg in kilograms?\nAnswer: 0.7710526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3742*-1.\nAnswer: -0.3742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2*q + 30, 4*c + 0*c + 9 = -5*q. Let o be c\/(1 + (-11182507)\/11182500). What is o rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3660176728.\nAnswer: 2, 13, 35194007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 8.9, -5 in descending order.\nAnswer: 8.9, 2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 19*u**2 + 14*u + 83. Determine x(18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 1575 - 1511 = 2*p, 0 = -4*s - 4*p + 68 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**4\/3 - 112*r**3\/3 + 2107*r**2\/3 - 1780*r = 0. Calculate r.\nAnswer: 0, 3, 20, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x + 5. Suppose 0 = -2*a - 47 + 25. Let u(b) = -5*b - 3. Give a*u(l) - 6*f(l).\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 59, 105, 151, 197?\n\"Answer: 46*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 26252*t - 209888.\nAnswer: -2*(t + 8)*(t + 13118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4))**30*((v\/(v**1*v))\/v)**(3\/10) assuming v is positive.\nAnswer: v**(-603\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**5\/60 + 173*y**2. Let f(r) be the first derivative of -9*r**2\/2 - 3*r + 5. Determine z(f(j)).\nAnswer: -81*j**2 - 54*j - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52516.3 and 3?\nAnswer: 157548.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.2719 nanometers in meters?\nAnswer: 0.0000000442719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 4*g - 3*g)*(2 - 3 + 0) + (-2*g - 2 + 2)*(-4 + 4 - 1).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -129 - -391\/3. Let c = 0 - 0. Which is greater: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*k**2 - 222\/5*k - 112\/5.\nAnswer: 2*(k - 56)*(2*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 + -47. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j - 14*j + 59*j - 19*j - 15*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prr when three letters picked without replacement from pprrprrppppr?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 0*f**2 - f**2 + 2*f**2. Let j(b) = 2*b**2 + 8*b**2 + 0*b**2 - 8*b**2. Determine j(q(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - -2 - (-25)\/5. Let y = f - 2. What is the remainder when y is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/23 - -85\/184. Let t = 0.14 - -10.86. Let r = t - 10.7. What is the smallest value in a, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 3*p + 3. Let o be 3\/(-4)*68\/p. Solve -t + o + 2 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/1 + 35\/(-30))*(-12)\/(-2). Put -5, -4, -43, z, -2 in ascending order.\nAnswer: -43, -5, -4, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46184 and 48?\nAnswer: 277104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*h - 42 = 234*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 38.767. Let b = 19.167 - j. What is b rounded to zero dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u + 23*u + 416 = -51*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50343 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17518054.\nAnswer: 2, 317, 27631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 198.627 to the nearest integer.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 228.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.321676 to 3 decimal places.\nAnswer: 3.322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 231\/66)*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 910656 to the nearest integer?\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from {v: 15, s: 4}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 4:13 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 57\/(-5)*235\/(-141). Let t be (-2)\/3*(-279)\/6. Let a = t - s. Solve -2*r - r = -a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 77\/7 - -10 - (-1 - 1). Suppose r*g - 195366 = 12393. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 2*d - 1. Let w(u) = -78*u**2 + u + 83. Let f(r) = 2*h(r) + w(r). Find the first derivative of f(g) wrt g.\nAnswer: -160*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -113 + 6411?\nAnswer: 62cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**3)\/c*c)\/(c*c**8*c*c))\/(c**(-1\/2))**(-18) assuming c is positive.\nAnswer: c**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (27 + -16 + -2) - (-1 - 2)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1212 - 1194. Let z be 16 + 1\/((-1)\/1). Suppose 0 = 5*r - z, w - 5*w + 2*r = o. Put 0.5, 3\/2, w in increasing order.\nAnswer: w, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t - 2059 + 223 = 54*t - 20*t for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*x = -36*a + 107*x + 474, -4*x = 4*a - 60 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*m + 4 = 0. Let z be 2\/((m\/1)\/(-7)). Let a = z - 9. Sort a, -2, 3.\nAnswer: -2, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19738.\nAnswer: 2, 71, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, c: 2, b: 9}. What is prob of sequence cbck?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6 and -15917.\nAnswer: -15923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/2 of a centimeter?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 151\/60? (a) 6 (b) 5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 567864869 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4774239 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 312, -384, -1184, -2088?\nAnswer: -3096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.013, -2\/7, 5\/3?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 766270*t**2 + 551246*t.\nAnswer: 1532540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (217\/(-28) + 7)*8\/(-30).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 116 + -67. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 43)*(-t**2 - 5*t**2 + 3*t**2) to j*t + u + f*t**2 and give f.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 - -1.02. Let v = 15.2 + -23. Let q = v + 8.2. Which is the closest to d? (a) -2\/17 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*i = 1, -8*i + 3 = 3*a - 6*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9*l - 4. Let k(w) = -14*w - 6. Calculate -8*h(v) + 5*k(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114020353 to the nearest integer?\nAnswer: 10678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -15. Let h = -11 - y. Sort h, -4, -27.\nAnswer: -27, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*f - 256 = -99*f + 75*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*1*sqrt(55))\/(1*sqrt(125)).\nAnswer: 1 + 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-5 + 1 + sqrt(396)))**2 + -2)*-1 + 1.\nAnswer: -14829 + 1728*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**8\/t**(-9)*(t*t**(1\/4)\/t*t)\/t**21 assuming t is positive.\nAnswer: t**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -8*t - 34. Let y be u(-5). Suppose y*x - 1 = -7. What is the third biggest value in x, -0.08, 3\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3*d - 7 - 6 + 17.\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = 4*b - 2*t - 5616, 2*b - 2*t - 2704 = 0. Let h = 599 + b. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 108\/16)\/((-5)\/20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0052285 - 0.00156.\nAnswer: 0.0036685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.39269 rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/1)\/16 + 243\/792. Let w = -2 + 1. Which is the smallest value? (a) w (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3) + -4 + (-30)\/(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 14136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 6*h**2 + 5*h + 2. Let g be z(5). Determine q so that -3 + 3*q**g + 75*q + 3 - 93*q = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01839446462 to six decimal places.\nAnswer: -0.018394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4 = 5*s. Let l(y) = -7*y**3 + 4*y**2 + 2*y - 2. Let m be l(s). Calculate the highest common divisor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 3*v - v)*(-33 + 6 + 107).\nAnswer: 160*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 + -9)\/(-6*1). Let v = 0 - -3. What is the nearest to z in -3, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide -4 + -13 + 8 + 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 14080*r - 28180.\nAnswer: 5*(r - 2818)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fckul. What is prob of sequence lk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -313b2?\nAnswer: 313b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126*i**3 + 15*i**3 + 39*i**3)*(2*i - 2*i - 2*i**2).\nAnswer: 144*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 9 + 4*u**3 - 5*u**3 - 9 + 1 - 2*u**2 + 8*u to f + c*u**2 + p*u**3 + b*u and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26654 - -3?\nAnswer: -26651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 17525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 196 + -161. What is the remainder when 73 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 = 36*q + 12 + 36 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22*((-10)\/4 - -3) + 1. Solve -5 - 3 = 2*o - 2*j, 2*j = 4*o + i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1729 and (-2364)\/208 + 3 + (-259)\/(-37)?\nAnswer: 6916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -2*k**5\/15 + 18*k**2. Let o(r) = 6*r**2 + 24. Let j(w) = -1. Let u(z) = 24*j(z) + o(z). Give u(t(b)).\nAnswer: 384*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t. Let y = -1 + 1. Suppose y = -5*r + 4*p + 35, 34 = 5*r - 5*p - 6. Let k be n(r). Solve 3*o + k = -3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l + 130 = 4 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2 + 140*h - 4. Give d(-35).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46308181 a multiple of 2547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 8:57 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, 0.4, 1\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/5 + 1728*l\/5 - 746496\/5.\nAnswer: -(l - 864)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/4 smaller than 0.41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 12*a + 5 = 0. Let f(i) = 6*i**2 + 1. What is f(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o**2 - 10*o + 12. Let k be (-5)\/3*(4 + -1). Let i(h) = 9*h**2 + 9*h - 12. Let d(a) = k*i(a) - 6*z(a). Factor d(f).\nAnswer: -3*(f - 4)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 444970167 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -2. Suppose s - y = 4*g - 4, 2*g + 2*s = -2. Solve 2*j + 4 = 0, g*d - 5*j = d + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 11 - -10 - 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 12 = -3*n. What is the third derivative of 11*k**6 + n*k**2 + 0*k**2 - 3*k**6 + k**2 wrt k?\nAnswer: 960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 698 + -509. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-162)\/54*86\/48 and 97\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 505987717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - -443?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -88*b + 9. Let u be p(3). Let v be u\/(-105) - 3\/7. Suppose c = v, 3*w - 2*c + c - 340 = 0. Is 20 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -11*l**3 - l. Let w(i) = 2 - 1 - 2*i - i**2 - 2. Let d be w(-2). List the prime factors of b(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -2\/7, 0, -1, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6316.97 to the nearest 10.\nAnswer: -6320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 5*x. Let o = -3 - -2.5. Let g = -3.5 - 0.5. Which is the nearest to -1? (a) x (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 4353?\nAnswer: 4350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 243, 257, 271, 285?\n\"Answer: 14*o + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(7))**2 + (sqrt(70) + (sqrt(70) - sqrt(70)*2) + sqrt(70))\/sqrt(10) - (4 + (sqrt(28)*-3)\/sqrt(4)).\nAnswer: 28 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 443 and 442 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -m - 21, -9*z + 17*m = -4*z - 42 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**3 - j**2 - 6*j - 5. Let x(c) = -10*c + 99. Let h be x(10). What is the remainder when y(h) is divided by (-1 - 2)\/((-9)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 12*n**2 - 28*n + 17. Let w be c(9). Let f be (-1)\/((-4)\/w*1). Which is greater: f or -1.92?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 12 = 0, -n - 4*n = 4*a - 52. Suppose 0 = -w + 4*w + l, -2*w + 2*l + a = 0. Let g = -188\/279 - -14\/31. Which is smaller: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*2\/(-4))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**7\/84 + o**6\/60 + 2*o - 3. Let w(q) be the first derivative of j(q). Factor w(l).\nAnswer: -l**4*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.27 - 1.364. Are k and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -1\/3, -1, 157, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 33.6\nAnswer: 13.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j. Let x = 0.4 + -11.4. Let k = 8 + x. Which is the closest to -1? (a) -0.2 (b) j (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2 + 0 - 2 - 2*d. Let v(q) = -8*q + 5*q + 3*q - 2*q. Calculate i(v(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-632\nAnswer: -252.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26534614 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: Rearrange -1 + 72*l**2 + 1 - 4 + 2 - 2479*l**2 to n*l + t*l**2 + b and give t.\nAnswer: -2407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -651078720 to the nearest 1000000.\nAnswer: -651000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 65955 to the power of 1\/2, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 11, 55, 14687?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1112855464?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -453.3*-0.03\nAnswer: 13.599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 0*i = 11*x - 103, 0*x + 16 = 2*x - 3*i + 93 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11351 (base 7) to base 16.\nAnswer: -b6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 5*h**2 - 5*h + 6. Let z be (2 - 2 - -1)*-2. Let g = 6 + z. What is b(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 8*a + 468. What is the hundreds digit of a - -74 - 274*(-11)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/(m**(-11)\/m))\/m))\/m**(13\/2)*(m**(3\/22)\/m)\/m**(1\/14) assuming m is positive.\nAnswer: m**(-2839\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 16*s - 70. Let m be (235\/(-94))\/(5\/(-38)). What is d(m)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 6*n**2 + 5*n + 1. Let y be t(5). Suppose 4 - y = -m - r, m + 6 = -2*r. Let v be (1 + 2 + -2)*m. Solve 3*g = -v*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20131111 - -3103?\nAnswer: 20200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + n = 0, 4*h + n = 140. Suppose -w - 34 = 2*f, -3*f + 111 - 9 = -3*w. Calculate the remainder when h is divided by w\/(-3) + (-8)\/(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53613851?\nAnswer: 23, 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y + 9. Suppose -1 = 6*z + 23 + 12. Let k(c) = 5*c - 10. Give z*k(d) - 7*x(d).\nAnswer: -2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 537, 539, 541, 543, 545, 547?\n\"Answer: 2*x + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26005 is divided by 2889?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 11*k**7\/2520 - 51*k**4\/8 + 3*k**2 + 21*k. Let o(v) be the second derivative of z(v). Let h(r) = -6*r**2. What is h(o(a))?\nAnswer: -726*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3467423*i + 190. Let d be o(24). Suppose 11*l - d = -19418342. What is l rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.51 times -0.076\nAnswer: 0.11476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 111*b**2 + 545*b + 12. Let o be y(5). Let q be (1 + -2)\/(1\/(-87)). Calculate the greatest common divisor of q and o.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/8 - 7887*m**2\/8 - 7893*m\/4.\nAnswer: 3*m*(m - 2631)*(m + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0*n - 4*n - 30 = 0, -g - 18 = 4*n. Let u = 5 - 2. What is the first derivative of g + h + h**u - h wrt h?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -4*d - 52, 2*a - 5*d + 15365 - 7687 - 7757 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -20 - (-26 - (6 + -7))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a**2 - 38 + 38 - 3*a**2.\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5 - 7. Let w = 38 + h. What is the greatest common divisor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 106 - 181 - y + 88 + 3*y.\nAnswer: y + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i - 105. Let m be z(-34). Let b(c) = c**2 + c - 4. Calculate b(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 62*u**6 - 6*u**5 - 10*u**4 - 82*u**2 + 1. Let r(z) = 2*z**5 + 3*z**2 - 1. Let i(g) = h(g) + 3*r(g). Find the third derivative of i(k) wrt k.\nAnswer: 7440*k**3 - 240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6428, -6419, -6410, -6401?\nAnswer: -6392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -11 + 13*d - 13*d**2 + 80 + 8*d**2 + 13*d**2. Differentiate r(g) with respect to g.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (0 + -12 - (3 + -8)) - -18.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4767185749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2378189 and 36105233.\nAnswer: 397157563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -48, -3\/8 in decreasing order.\nAnswer: -0.3, -3\/8, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -98588 divided by 7?\nAnswer: -14084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 93*v - 72. Let d be m(-18). Let s = d - -2819. List the prime factors of s.\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -583*o**8\/336 - 649*o**4\/24 - 54*o**2. What is the second derivative of n(r) wrt r?\nAnswer: -11660*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 5:17 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence teff when four letters picked without replacement from {t: 4, e: 2, f: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0. Let z be ((-17)\/(-34))\/((-2)\/4). Let o be (0\/(-4) - z) + -1. What is the closest to w in o, 0.3, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u - 9. Suppose -2*x = -7*x - 3*r - 26, 0 = -4*x + 4*r - 40. Let g be b(x). Calculate the greatest common factor of g and 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from {a: 4, h: 3, q: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-186)\/(-18))\/((((-48)\/8)\/(-36))\/((-3)\/6))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxj when three letters picked without replacement from {j: 7, x: 4, s: 7}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/1071 and 32\/5117.\nAnswer: 46053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (4*sqrt(119))\/sqrt(7))**2 + 0 + -1)*3.\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55673 (base 10) in base 15?\nAnswer: 11768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 10:33 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + (4*(1 + sqrt(1377) + sqrt(1377)) + 2 + 4 + -1 + 4)**2).\nAnswer: 9360*sqrt(17) + 441470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10.92 (b) 574 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1248, -5 in descending order.\nAnswer: -4, -5, -1248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r**2 + 14*r**2 - 54*r**2 + 21*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2149 - 6327.\nAnswer: -8476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -162 (c) -3 (d) -5\/4 (e) -49180\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.61? (a) 1\/3 (b) 0.5 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.194 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -53943091*b + 6932. Let n(h) = -38906*h + 5. Give 5*a(d) - 6932*n(d).\nAnswer: -19063*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/80454 and 9\/1166.\nAnswer: 80454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/90 and -37\/9801.\nAnswer: 98010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 4*z - 54, 5 = -f - 5*z + 2*z. Let x = 15 - f. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 (base 16) to base 5\nAnswer: -402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-21)\/6)\/(1\/4). What is the tens digit of 6\/v - 314\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (0 - (3 + -4)). Suppose c*j + 13 = 39. Let l = 7845.6 - 7845.1. Sort 2, l, 0, j in increasing order.\nAnswer: 0, l, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 7 - 5 = 0. Suppose 5*l - x*u = 10767, -3*l - 2*u + 8628 = l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*q**4 - 4*q**2*r + 179*q*r wrt q?\nAnswer: 432*q**2 - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6161718 or 9?\nAnswer: -6161718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2955?\nAnswer: 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1872)*-5)**2 + sqrt(1872) + ((sqrt(1872) - (sqrt(1872) + -3*sqrt(1872)) - sqrt(1872)) + -1)**2 + 0.\nAnswer: -36*sqrt(13) + 54290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*w - 4. Let q(t) = -3*t**2 + w*t**2 - 2*t**2. Let j(c) = -2*c**2 + 3*c + 3. Let i(d) = -d - 1. Let y(b) = 3*i(b) + j(b). Calculate q(y(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, v: 1, b: 8, x: 1, u: 1}. What is prob of sequence uv?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - c + 4 = 3, -a + 4 = 4*c. Solve -3*y = -3*n - 0*n + 15, a = 2*y - 3*n + 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10662821\/35 + 304652. Let z be (-51)\/126 + 2\/4. What is the nearest to -0.1 in m, 2, z, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 708, 710, 714, 720?\n\"Answer: q**2 - q + 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34184*z**3\/5 + 376004*z**2\/5 - 44*z = 0. Calculate z.\nAnswer: -11, 0, 5\/8546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232125191?\nAnswer: 17, 61, 223843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - y + 5*y = 51, 2*y = 4*n + 42. Sort -2, n, -3 in ascending order.\nAnswer: n, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 201 = f - 72, -3*u + 2*f = -384. Let z = u - 103. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are 2166 and 6500\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14, -5, -48, -127, -254?\n\"Answer: -2*w**3 - 5*w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -2. Which is the closest to -2? (a) 4 (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3984 at least as big as 3997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - v + 13 = 0, -23*l + 18*l - 3*v - 7 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*b - 15 = 2*b, -3*b = -q + 5. Let u be 6\/(-9)*(-50 - 1). Suppose -q*n + u + 16 = 0. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -10. Let d(v) = -v + 1. Let j(r) = 13. Let s(i) = y*d(i) - j(i). Calculate the remainder when 43 is divided by s(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + (3 - 1 - 5). Let j(r) = r - 1. Let d be j(7). Suppose x*t - t = d. Calculate the highest common divisor of 10 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -417\/8 + 52. What is the second smallest value in -5, d, 0.5, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(132)*3 + -4*-2*sqrt(132) + sqrt(132))\/((sqrt(132) + (sqrt(132) - 2*sqrt(132)*-6))\/sqrt(12)).\nAnswer: 12*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3900912 and 3801?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 607329407 to the power of 1\/2, to the nearest integer?\nAnswer: 24644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 1. Let m = 21 - 20. Let y be c(m). What is the third derivative of -3*n**2 + y*n**5 + 2*n**3 - 2*n**5 - 2*n**3 wrt n?\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 3*d**2 + 4*d + 1. Let y be v(4). Let r(x) = -4*x - 7 + y + 0 + 3*x. Let j be r(-9). Solve -j*k - 5*m = -4*k - 7, 5*k + 4*m = -6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0 (c) -0.98 (d) 4 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 220*x**2 - 55*x wrt x.\nAnswer: 440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*s + 2*s. Let z = s + 18. Calculate the highest common divisor of 18 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 4 + 178*a - 226*a)*(1 + 1 - 1).\nAnswer: -48*a - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 474\/5, 0.2, -30, -14?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 10:57 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 140 = 5*l. Let g be (-170)\/(-8) + l\/56. Let m be (-6)\/(-24) + g\/12. Solve 0 = -5*t + 5*a + 5, -m*a = -5*t - 7*a + 25 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(306)*5 + sqrt(306))\/sqrt(9))\/(-1*3*sqrt(288)))**2.\nAnswer: 17\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0.03. Let w = -11725\/2 + 83177\/14. Let h = w - 79. Which is the biggest value? (a) 5 (b) h (c) 0 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 10*v + 17 = 12*v, 24 = 2*g - v. Suppose 43 = 6*t + g. Solve 4*j + 11 = -t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/9 - (-2)\/6. Let z be -2 - (s + 17\/(-8)). Are 0 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4426292 by 13.\nAnswer: 340484","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 520 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x**2 + 54*x**2 + 1 - 40*x**2.\nAnswer: 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 13 - 7*m + (-5*m - 1 + 1)*(3 + 0 + 2) in the form t*m + p and give t.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 39\/4, -5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 7*g**6\/40 - 5*g**3\/3 + 11*g**2. What is the derivative of m(s) wrt s?\nAnswer: 63*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1569.\nAnswer: 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 15 = 2*d, 2*d + 3*d = -4*i + 45. What is the second derivative of -4*p - 2*p + i*p - p**3 wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213132021 (base 4) in base 10?\nAnswer: 161673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 657 divided by 2\nAnswer: 657\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.068 + 0.068. Which is the closest to -2? (a) 0 (b) m (c) -0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 272. Let y(o) = 2*o - 680. Let j(h) = -5*c(h) - 2*y(h). Let n(w) = -36*w. Give 108*j(g) + 2*n(g).\nAnswer: 36*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 78197500 to the nearest one million.\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45143.\nAnswer: 7, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.5, 0.3, -2\/65, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 3112000221?\nAnswer: 3112000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u + 91935 = -15*u + 8*u. List the prime factors of u.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 92464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-2\/9)*r*r))\/((r**(-22)\/r)\/r))**(12\/11) assuming r is positive.\nAnswer: r**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-7) - (-162564)\/14. Suppose -5*b + 58070 = -5*w, b + 3*w = 6*w + o. Suppose 3*g = 2*h + b, -7 = -g - 2. Round h to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 159518 + -4\nAnswer: 159514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13079 + 13082. Sort t, 5, -109, -3.\nAnswer: -109, -3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 3*q - 10. Give g(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 13*s**2 + 9*s - 19. What is the units digit of m(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86 - -83. Let r be -8*2\/6*c. Suppose -r*x + 687 - 36047 = 0. What is x rounded to the nearest one hundred?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 57\/5 (b) 1\/3 (c) -5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6613 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 5. Let s(q) = -6*q - 24. Determine 5*s(r) - 24*w(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2284*f + 19052 = 1418*f for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 13 + 4 + -5 + 24 + 16?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43487619?\nAnswer: 3, 7, 2070839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 + -2 + (-15 - 5 - -73) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77)\/(-1)*655\/(-21615).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -81*d - 438. Calculate the least common multiple of 4\/(-3)*(-15)\/1 and x(-8).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -23. Let f(c) = -u - c + 4*c + 8. What is the smallest common multiple of f(4) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2556 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 179 = -30*p + 86*p - 447, -5*p - 2*y + 17 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27.4 - 4.6. Let a = -975 - -979. Sort 5, a, -2, d in descending order.\nAnswer: 5, a, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -58, -2\/229, 11?\nAnswer: -2\/229","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 33*p - 10. Let y(w) = -w + 1. Determine -x(t) - 6*y(t).\nAnswer: -27*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**2 + 15*a + 221. Does 15 divide q(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 249 = 3*k. Let i = -75 + k. Solve -4*l - 5 = 5*g, 5*l - 33 + i = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1, 11, -2\/9, 1082, 5 in descending order.\nAnswer: 1082, 11, 5, 1, -2\/9, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270 divided by 15.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 26. Suppose 4*l = 4*h - 88, -3*l = -b*h - 2*h + 69. Let j = l - -47. Is j a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10038613, 20077227, 30115841, 40154455, 50193069?\n\"Answer: 10038614*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 194406930 a multiple of 5441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2 = -6. Suppose 0 = 3*n - w*q - 410, -6*n + 4*q = -8*n + 252. Let l = 296 - n. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.075 - 0.075178. What is g rounded to 5 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -h, h - 6 = -p + 4*h. Suppose p*j = 6*j + 4*z - 61, 5*j - 94 = z. Calculate the greatest common factor of j and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/35 in 3.4, 0.2, -4, 5, 21\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 5013156652?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 3*r. Let i be p(1). Let u be 1 - i*(-3 - -2). Suppose 13 = u*w + 4*a, 2*a + 13 = -w + 6*w. Solve -4*j = -20, -3*h + w*j + 13 = 43 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 12.915502?\nAnswer: 12.615502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 0*s - 0*s. Let z(o) = s*o - o - o + 3*o. Let l(c) = -3*c**2 + 3*c**2 - 5*c**2. What is z(l(u))?\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 848*s - 30*s - 33*s + 91*s as u + i*s and give i.\nAnswer: 876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u + 3*u**2 + 12*u - 3*u - 2*u.\nAnswer: 3*u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -650, -1934, -4372, -8348, -14246, -22450, -33344?\nAnswer: -47312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 2)*1 + 1. Let w(p) be the first derivative of -2\/5*p**5 + 0*p**3 - 1\/4*p**4 + 1 - 1\/6*p**6 + 0*p + f*p**2. Factor w(z).\nAnswer: -z**3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 195.0147 - 195. What is p rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = 0, 4*i - 1 + 5 = -3*k. Suppose -2*u + 15 = 5*l, 5*l = -3*u - 2*u + 30. Suppose a = -0*t - t - 3, 1 = t + u*a. Do k and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840\/3312 + (-4)\/46?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 + 3*l + 12. Let k be w(-4). Let m be (k\/(-40))\/((-1)\/(-380)). Suppose -78 = -2*o + m. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -238, -488, -734, -970, -1190, -1388?\nAnswer: -1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-10) + 0)*-5. Suppose -x*d = -d - 258. Suppose -3*o = -r + 44, -4*r + 50 = -2*o - d. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 28618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27139814 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 8*s - 3. Let z be f(-7). Let i(u) = -z*u - u**2 + 1 - u + 1. Suppose -10 = 4*c + 10. Calculate i(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 0*d + 5 + d - 5*d + 1. Let k be o(4). Let u = k - -19. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/10*-27*(-6*2)\/((-666)\/185).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2. Is 6 a factor of 76\/12 + j\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20672 - -20677. What is the nearest to p in 2\/21, 1\/18, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55008.16 weeks in microseconds?\nAnswer: 33268935168000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 - 8*t + 4. Let q(m) = 13*m**2 - 31*m + 16. Let h(d) = -9*f(d) + 2*q(d). Let c be h(8). Solve -16 = -j - 3*j + 5*l, 3*j = -l + c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -3, -66378, -30, -2 in increasing order.\nAnswer: -66378, -30, -5, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 20356\/14*2\/(12\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -10. Let u = 26 + -25.9. What is the closest to -2\/5 in -1, b, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g + 2. Let v(z) = 1273*z**3 + 53*z**2 + 6*z + 8. Let u(m) = -2*j(m) - v(m). What is the third derivative of u(b) wrt b?\nAnswer: -7638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**5\/5 + 18327*y**4\/5 - 128022*y**3\/5 - 732108*y**2\/5 - 805464*y\/5 = 0.\nAnswer: -2, 0, 11, 6102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(539) - sqrt(539))\/sqrt(11) - (sqrt(98)*1)\/sqrt(2))\/((sqrt(4235)*-2)\/(sqrt(5) + sqrt(60)\/sqrt(3))).\nAnswer: 6*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(2 - -25944)*-157. Let f = 5703522 - c. Round f to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x**2 + 5*x. Let j(i) = i**2 + i. Let l be -1*32 - 2\/(1 + 0). Let f = l + 33. Let t(c) = 5*c. Let u be t(f). What is u*j(d) + p(d)?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11303173 take away -0.1?\nAnswer: -11303172.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -11*y**2. Let w(l) = 5*l - 12. Let r(g) = 2*g + 2. Let f(k) = -6*r(k) - w(k). What is f(m(x))?\nAnswer: 187*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4427b (base 14) in base 15?\nAnswer: 33de6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*n + 142699 = 101*n - 3*r, 0 = -3*n + r + 107018. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -26.3, 4\/5, -1\/3, 2\/115?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33800175 and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -294*d*w**3*z**4 + d*w**2*z**3 - 5*d*w**2*z - d*z**2 + d + 3*w**3*z**2 wrt z?\nAnswer: -7056*d*w**3*z + 6*d*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -34 - 53) + 12.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 87454, 174901, 262348, 349795?\n\"Answer: 87447*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 404153 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 4 = 5*t. Let q be (t + 104\/100)\/((-6)\/15). Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*sqrt(448) + sqrt(448) + (sqrt(448)*1)**2*3.\nAnswer: 72*sqrt(7) + 1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8*q - 7. Let i(v) = -17*v + 15. Let u(z) = 6*i(z) + 13*x(z). Let m be u(2). Solve m*f = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**7\/1260 - i**6\/72 + i**5\/12 + i**4\/6 + 2*i. Let c(p) be the third derivative of y(p). Does 19 divide c(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 7:43 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -17*g**4\/4 - 4*g**2 - 7*g - 68. Calculate the remainder when (0 + 1 + 0)*51 is divided by k(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 3*x + 0*x)*(-2 + 0 + 4)*(-3*x - 5*x + 21*x) - 2*x + 2*x**2 + 2*x + (x**2 + 2*x**2 - 5*x**2)*(0 + 3 - 4) + 5*x**2 - 2*x**2 - 2*x**2.\nAnswer: -73*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12 - 0)*(-30)\/9. Suppose 12 - a = -7*r. Suppose 0 = -r*u + 3*q - 2*q + 12, 0 = 2*u + q - 12. Solve -u*g = -7*g + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (510\/(-306))\/(8\/48)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 10:58 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 - 6*j**2 + 73*j - 2 - 149*j + 71*j + 25*j**2 - 4 in the form c*j**2 + s*j + m + a*j**3 and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000804962 to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, -5, -1\/4, -0.072.\nAnswer: -5, -2, -1\/4, -0.1, -0.072","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-99)\/(-77))\/((-54)\/(-1008)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485749?\nAnswer: 11, 44159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -16.6. Let p = 5.6 - t. Which is the second biggest value? (a) 1\/11 (b) -3\/5 (c) -2 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -153*a**3*w**3 + 16*a**3*w - a**2*l*w - a**2 - 623*a*l*w**3 + 2*a*l + 381*w**2 wrt w.\nAnswer: -918*a**3 - 3738*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -121 + 41200?\nAnswer: 41068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32997869 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 0.1 (c) -5 (d) 0.9 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118 + 352. Suppose -3*h + 2*p = -0*h - 717, -h - p = -r. Is 42 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 885 + 115 = 0. Let u = b - 81. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-136)\/(-24) - 5)*2\/(-8). Which is smaller: -11 or v?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/14)\/((-30)\/(-140)). Suppose 11 = x*y - 1. Suppose -u = y*u - 684. Calculate the highest common divisor of 19 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*s - s = 26, 4*l = -5*s + 6. Suppose 3*g = -0*o - o + 3, -3*g = l*o - 12. Solve 10 = -5*y, -3*h - o*y - 11 = 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*n - 13 - 120*n + n**2 + 57*n in the form c + u*n**2 + g*n and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, w: 1, y: 3}. Give prob of sequence yyll.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/(414\/120))\/(28\/(-84))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3079*i + 20. Let o(v) = -14*v**2. What is a(o(t))?\nAnswer: 43106*t**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -5) + (6 - 6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90604 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34220 divided by -10.\nAnswer: -3422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 2*o - 9. Suppose -696 = -5*w - o*w. What is the remainder when w is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*l**3 - 3206*l**2 + 177023*l wrt l.\nAnswer: -168*l - 6412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 + 2*w**5 - w**5 + (-2 - 3 + 2)*(-2*w**5 + w**5 - 2*w**5) + 5*w**5 - w**5 - w**5 - 9*w**5 - 6*w + 6*w.\nAnswer: 6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -588161, -588160, -588159, -588158, -588157, -588156?\n\"Answer: u - 588162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 26 = 4*r, -33 - 7 = 5*j + 5*r. Let z be (5 + j)*(0 + 0). Suppose 3*f - 3 = z, 1 = a - 2*f + 2. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140626 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1419 + 1794. Is 67 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 21\/6)*10. What is the nearest to c in -1\/3, 0.2, 8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in seconds?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2))**38\/(t**(-1\/2))**(-15))**(2\/53) assuming t is positive.\nAnswer: t**(-167\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 - -83. Solve -5*y + 29 = -i*u, 19 = -0*y + 5*y + 3*u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -8. Let n(z) = -2 - z**2 + 1 - t*z + 7*z. Is n(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -466062 - -94610772\/203. Let r = z - 10\/29. Sort r, 1\/4, -0.5 in decreasing order.\nAnswer: r, 1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 412939 - 4.\nAnswer: 412935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c - 3*c + 64 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*p + 17 = 0, p = -28*t + 26*t + 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1411)\/(-136) - (13 + -3)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13965 - -283. What are the prime factors of f?\nAnswer: 2, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -57\/1090136 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1\/5. Which is the closest to 2\/5? (a) 0.5 (b) -2\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -20. Suppose -93 = -32*d + 67. Sort d, -0.06, y in decreasing order.\nAnswer: d, -0.06, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172, 202, 218, 214, 184?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 10:11 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4 = -3*c + 2*w, 8 = -2*c - 4*w. What is the biggest value in 0.7, 3, c, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29179951?\nAnswer: 29179951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o. Let u be v(1). Suppose 6 = 2*a, 0 = 33*l - 31*l - 4*a + 4. Suppose 0 = -u*i - l*z, 0*i - 3*z = 5*i - 14. Sort -1, i, 5.\nAnswer: -1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 54. Suppose -4*h - a + 14 = 0. Suppose 2*j - 6 = 2*c, 0 = -2*j + 3*c - 5*c + 2. Solve x - h = j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6716 and 5244?\nAnswer: 382812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 3*t - 2*t)*(0*t + 0*t - 2*t) - t**2 + 0 + 0 - 18*t**2 - 79*t**2 + 34*t**2 + (0 + 2*t**2 + 0)*(1 - 1 - 1).\nAnswer: -70*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**4 + 3460*d**3 + 796950*d**2 + 60831540*d - 61631955 = 0. Calculate d.\nAnswer: -231, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1031 + 1061 - 1269\/42.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -764577056 + 3.94.\nAnswer: -764577052.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9729 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23.1831 and -0.5?\nAnswer: 11.59155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1035235447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*i**4 - 252*i**3 - 64*i**2.\nAnswer: 4*i**2*(i - 16)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 10:33 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -426*z - 130*z + 9452 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from {t: 2, o: 1, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*u + 2*r, 21*r - 24*r - 34 = 5*u. What is the closest to 0.3 in -3, 0.12, -3\/2, u?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.08607ms in minutes?\nAnswer: 0.0003514345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020014 (base 5) to base 10.\nAnswer: -16884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 3*m - 4. Let k be d(-3). Let y = k - -19. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-1 - (-2 + 3))) + -5. Let v be (-1)\/(-12)*4*l. Which is the closest to 8? (a) v (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5.1, -2\/11, -1\/8 in increasing order.\nAnswer: -5.1, -1, -2\/11, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 334917?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j. Let w(r) = -459*r. Give p(w(d)).\nAnswer: -459*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263176.\nAnswer: 2, 67, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q + 45043 = 44959 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-279 - 123 - 298 - 160)*(-3 + 6 - 4)*(2 + m - 2) to p*m + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*22\/231)\/((-41)\/((-11193)\/338))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1574.7068 to the nearest 10.\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (4 + -2)\/2. Let y(u) = 6*u**2 - 2*u + 1. Let t = -34 - -36. What is the lowest common multiple of t and y(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -3985921?\nAnswer: -3985924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 102*v + 104 wrt v.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*d + 7*l + 18, 0 = 2*d + 4*l + 10. Which is smaller: d or 25\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -0.3 (c) 36 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, 0, -3, 47, -5, -2 in descending order.\nAnswer: 47, 9, 2, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 - -78. Solve 2*b + 3*z + z = -v, -3*z = 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 9*w - 2. Let t(r) = -10*r + 2. Calculate -4*t(n) - 3*x(n).\nAnswer: 13*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724813719 is divided by 230.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m. Let c(z) = 550051*z**2 + 6*z. Determine c(b(r)).\nAnswer: 19801836*r**2 - 36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -401 (base 6) in base 14?\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2343 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5633059 a multiple of 1567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.06 (b) -350\/23 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + -5 + -2 + sqrt(605))*-3*-2.\nAnswer: -264*sqrt(5) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78422431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 4*o**2 + 5*o - 4. Let a be i(5). Is ((-40)\/60)\/(a\/3018) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/4 of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/6 of a day in minutes?\nAnswer: 20400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7008183, -7008106, -7008029?\n\"Answer: 77*w - 7008260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 29119 = -2*a - 143595, -5*a = -5*j + 143100. List the prime factors of j.\nAnswer: 2, 41, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - v + 0*v - 211 = 0, -2*k - v = -83. Let f(c) = -13*c + 1. Let g be f(-1). Calculate the highest common divisor of g and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 739935106 times -5?\nAnswer: -3699675530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 14 = -2*h - 44, -4*k - 4*h + 28 = 0. Suppose 4*q - 4*g + 512 = 0, -2 + k = -5*g. Let i = 273 + q. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -40, 1\/65, -2669?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9215.007621 + -9215. What is h rounded to four decimal places?\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + (-460)\/(-75))\/((-2)\/(-3))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1504 and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6610792981 to the nearest integer?\nAnswer: 81307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 92839723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 7*z. Let c be b(1). Suppose 5*r - 5*t - 65 = 0, -3*r - t - 4*t = 1. Which is bigger: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1086, -2205, -3350, -4521?\n\"Answer: -13*g**2 - 1080*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/9*1*9\/2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22253 and 290213.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00045049 to five dps.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4608, 4611, 4614?\nAnswer: 4617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.51 - 3.51. Which is the closest to 2\/39? (a) -0.4 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(6\/9)*34700\/30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 3. Let h(k) = k - 1. Let j be h(4). Suppose 4*p + 4*w - j + 7 = 0, 5*p = -w - 17. Calculate i(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*u - 13, 2*s - u - 2*u = -5. Suppose s*m = -5*n, -2*n + 9 + 0 = -m. Suppose -4*x - w = -150 + 62, 0 = n*x - 2*w - 44. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5987687 is divided by 112?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -191424800, -382849602, -574274404, -765699206, -957124008, -1148548810?\n\"Answer: -191424802*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 3*z + 5*z)*(-3 - 1 - 2).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 6*f - 5. Let z be u(7). Let d = 17 + z. Suppose d*b - 2 = 3. Solve k - 4 + b = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 13. Let l = -3 + r. Let u(j) = 2 - 3 - j + 1. Calculate u(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20216, 80881, 181992, 323549?\nAnswer: 505552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*g = 28, 3*k - 5*g = -2*g - 108. Let f = 68 + k. What is the units digit of (-20)\/(-7)*f\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*v - 158 = 94 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 35*g + 0*g**3 + g**4 + 1\/10*g**6 - 3\/4*g**5 + 0*g**2 + 0. Factor b(s).\nAnswer: 3*s**2*(s - 4)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 331998.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251, -245, -235, -221?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 17*r + 0*r + 1 - 4)*(-4*r**2 - 2*r**2 - r**2).\nAnswer: -119*r**3 - 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*i - 3*c - 21, 2*i = -2*c - 14. Let l be (-73)\/i - (-11)\/(-44). Let z be (-4)\/6 + (-42)\/l. What is the nearest to -1 in 2\/5, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 10602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d**(-5\/6))\/d)*d\/(d*d\/(d*d**(19\/5)))*(d**(-15)*d*d*d)**(-2\/31))**(-21) assuming d is positive.\nAnswer: d**(-41713\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1312030 and 18130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10005.44 * -232\nAnswer: -2321262.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40 + (1 + -1)*(-5)\/5. Suppose m*n + 9 = 43*n. Suppose -r + n*r = 8. Solve -r*c = c + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3602564615.\nAnswer: 5, 13, 6983, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**3 + 4*m**2 - 4. Let u(q) be the first derivative of -4*q**4 + 7*q**3 - 21*q - 63. Calculate -11*i(n) + 2*u(n).\nAnswer: n**3 - 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23548, 46715, 69882?\nAnswer: 93049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -8, -17, -28, -41, -56?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 470977.\nAnswer: -470977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*a + 353 = -146*a + 42*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -6, 3, -13 in descending order.\nAnswer: 38, 3, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4749*y = -74695 - 20285 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2824 - -1587. Let f = -608 - u. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2494*y + 4949. Calculate x(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -36*o**2 + 22*o + 56. Let p(g) = 5*g**2 - 3*g - 8. Give 44*p(v) + 6*x(v).\nAnswer: 4*v**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 + 80 = a. Solve 5*m = -25, -a*r = 2*r - 3*m - 30 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-225)\/90 - 10\/(-4))\/(-1). Let g = -0.04 - -0.15. What is the closest to 2\/9 in -2, p, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*l + 251*l - 760*l + 251*l - 6724*l**2.\nAnswer: -6724*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-3 - (6 - 1)). Let u be (-12)\/93*(-3)\/i. Let p be 8\/(-44) + 4\/22. Which is greater: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/8 - 0 - -2)*(-5 + 7). Are a and -1\/20522 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (0 + -2)) + -4 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*b**3 + 12*b**3 + 21*b**3.\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*a**2 + 2*a**2 + 8*a**4 - 6*a**6 - 8*a**4 wrt a?\nAnswer: -720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 22534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 11*p**2 - 2*p + 35. Let t(b) = 12*b**2 - 2*b + 44. Let h(s) = 4*t(s) - 5*w(s). Calculate h(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**3\/2 - 118*f. Let u(t) = 22*t**2 + 1. Calculate u(v(o)).\nAnswer: 198*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2795264, 2795262, 2795260, 2795258, 2795256?\nAnswer: 2795254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -13*w + 5. Let f(q) = -q**3 + 7*q**2 - 9. Let z be f(-5). Let n(b) = 12*b + 860 - 282 - z - 291. Calculate -4*k(y) - 5*n(y).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -108 in 2, 7\/11, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -18. What is the units digit of (-1 - (0 + a)) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, g: 5}. What is prob of sequence gggg?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27629498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2882*q**2 + q**3 + 12*q - 2*q**3 + 6*q + 2889*q**2. Give p(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*k + 77*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17224856 is divided by 94.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flv when three letters picked without replacement from vffl?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -5*k**3\/6 - k**2 + 2*k. Calculate the remainder when l(-5) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23303 divided by -23303\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a meter in centimeters?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 43*r**5\/10 - 4*r**4 - 45*r + 95. Let m(i) be the first derivative of z(i). What is the third derivative of m(k) wrt k?\nAnswer: 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6193, 26777, 76199, 168877, 319229, 541673, 850627, 1260509?\n\"Answer: 2403*y**3 + y**2 + 3760*y + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z + 7*z - 1 + 5 + 8*z. Is u(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**6\/120 + z**5\/10 + z**4\/24 + z**3\/2 - 4*z**2. Let x be q(-6). Let l = 5 + -3. What is the third biggest value in l, x, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14957*r + 14538*r + 2 - 1 - 3 to k*r + q and give k.\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4562697679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2986*f - 2981*f + 42 = -7*y, 18 = -3*y + 2*f for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 511 - 370090784\nAnswer: -370090273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 22\/6 + 6\/126.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -239 divided by 7826297\nAnswer: -239\/7826297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.40077557 rounded to 2 decimal places?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -221\/420210 and -99\/40.\nAnswer: 1680840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * -0.3\nAnswer: -0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19\/3*u**2 + 2\/3 + 17\/3*u = 0. What is u?\nAnswer: -2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than or equal to -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*f - 3*r - 8 = 0, 8 = 5*f + r. Determine s, given that -53*s**2 + 2*s - 10*s + 8*s**3 - 4*s**4 + 57*s**f = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.7, -1\/6, -47, -13\/97, -0.1, -2\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = -13*n + 18. Let f be n - (0 + 3 - 7). Sort -1, 4, f in ascending order.\nAnswer: f, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45 - 0) + 0 - (-181 + 0 - -171).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1670 or -1672?\nAnswer: -1670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 2*v. Let d(b) = b**2 - 33*b + 88. Let a be d(30). Calculate k(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 i, and 2 g when four letters picked without replacement from {n: 3, i: 4, g: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 - 52*v - 131. Let h be (-46)\/(((-32)\/(-96))\/((-2)\/(-12))). Let l be f(h). Solve -5*t + 2*x + l = 0, 3 = t - 0*x - 2*x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 7*w + 11. Let c be i(-8). Solve -m = 3*u + 6, 3*u = 3*m + c + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 8)\/28 + 26\/(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.366854 micrograms?\nAnswer: 2366.854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -707*r + 7434. Does 62 divide f(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4564663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -866 + c?\nAnswer: -85a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 12, a: 7}. What is prob of picking 2 a and 1 f?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1078*t = 5*v - 1080*t - 28, -12 = 2*v + 5*t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*j - 5*g - 195, -3*j = -4*g + 82. Let l = j - -62. Let t = 66 - -17. Calculate the remainder when t is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-6)*5*-3. Suppose -48*y = -2011 - 35477. Let a = y - 784. Put a, 5, m in increasing order.\nAnswer: m, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8.211529 millennia?\nAnswer: 8211.529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3313410286?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 141, 161, 145, 75, -67?\n\"Answer: -3*w**3 + 41*w + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 2. Let l(o) = 3*o**3 + 1. Let w be l(-1). Let h be p(w). Let m = -7 - -11. Solve y - m*b = -y + 22, -h*b - 15 = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 993*i**2*p**3 - 17*i**2*p - 3*i*p**2 + 3*p**4 + 45*p wrt p?\nAnswer: 5958*i**2 + 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -129, 169, 709?\nAnswer: 1491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -7. Suppose s - 17 = -i*u + 12, -s = -u + 1. Suppose -2*m = -u*m + 204. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728 is divided by 153.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77688859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 167 + 139 = -o, -4*o = 3*g + 1215. Let a = -596 - -592. Find the common denominator of a\/(432\/o)*2 and -27\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2.6, 12\/5, -3, 7.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 9:44 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17\/10, -4, -4\/3, 1\/8, -0.2, -28?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259*b + 222*b = 0. Solve -49\/3*n**3 - 14*n**2 - 3*n + b = 0.\nAnswer: -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 15*g + 5. Let j be z(-15). Suppose 2*t - w - 8 = 3*w, -w = j*t + 13. Calculate the remainder when 94 is divided by 2 + t + 2*12.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 - -396. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 - 108*o + 598. Let c = 317 + -61. Calculate the smallest common multiple of c and l(-59).\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**4 + 530*v**3 - 536*v**2 - 1064*v = 0.\nAnswer: -266, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 35*l**2 + 43*l + 45. Let i be m(33). Is 10 a factor of i\/4*(-4 + (-32)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - n - 6. Let z be (-30)\/2*n\/(-5). Suppose -z*o = -o - 50. What is the highest common divisor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1068 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 639, 0.41, -1\/3, 1\/376?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14.1078 + -384.2\nAnswer: -398.3078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1049 + -1114.4. Let w = u - -67.4. Let t = -0.2 + 0.04. Which is the third smallest value? (a) t (b) 2\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2\/9))**(-7)\/(y\/((y\/(y\/(y*y\/((y*y**0)\/y)*y))*y)\/y*y)*y**(-7)*y))**17)**(-5\/4) assuming y is positive.\nAnswer: y**(-680\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10378 - -18746. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*n, -n - 17 = 2*w - 44. Calculate the highest common divisor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 27*j**2 - j. Give a(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.4 (c) -1\/3 (d) -0.3 (e) -43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2860349 + -88.7150151. Let o = 2546 + -2457. Let l = w + o. Round l to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*p - 0*b - 32, -4*p + 5*b = -36. What is the second biggest value in 0.1, p, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -200? (a) -0.2 (b) 1709 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/5*(2 + 141) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a gram in milligrams?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 737618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-1017.\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty sevenths of a week?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12923 - 3025 = -1147*n - 3331 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9190870165253\/9480 + -969501074. Let q = g - -3\/395. Find the common denominator of q and ((-208)\/(-1274))\/((-594)\/(-3927)).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-21) - 112\/(-6). Let d = 51 - i. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 4. Let v be k(2). Suppose -v*y + 20 = -32. What is the greatest common factor of 39 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rekodeemrmrrrerrrok. What is prob of picking 1 r and 1 k?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3742*j**3 - 1867*j**3 - 1874*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*c = -0*y - 15, 0 = -2*y + 3*c - 3. Let j(b) = b**2 + 5*b - 5. Let m = 0 - 6. Let g be j(m). Solve -g - y = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681549 to the power of 1\/2, to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 232, 230, 228, 226?\n\"Answer: -2*v + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 9*j - 58. Is t(25) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 0*c + 1\/6*c**3 - 2*c**2 + 0 - 1\/15*c**5 + 1\/120*c**6 + 1\/6*c**4. Let p = -6021 - -6024. Determine f(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 7 = 5*d + 20, 0 = -4*c - 4*d. Solve c = k - 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-85*v + 941 - 941)*(-5 + 1 + 3) + (-2*v - 2*v + 2*v)*(-3 + 1 + 0) - 59 - 11*v + 59 + (-3 + 1 + 4)*(2*v - 5 + 5) to the form a*v + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 13*s + 3. Give z(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/21, -1\/3, 5, 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1544567.5 - -1\nAnswer: -1544566.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590719.\nAnswer: 590719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -742 + 752. Suppose h*c - 35 = -5. Suppose -5*z - n = 22, z = -5*n - 3 + 13. Put -3, -4, c, z in decreasing order.\nAnswer: c, -3, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 76 = 4*g + 48, -g - 133 = -4*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -13. Solve 5 = f - s*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203806193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72756, -72752, -72742, -72720, -72680, -72616, -72522?\nAnswer: -72392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/5))**24\/(k*(k*k*k**5)\/k*k**(-4))*(k\/k**(-1\/2))**(-47)*(k**(-3)*k*k)\/(k*k**1) assuming k is positive.\nAnswer: k**(-861\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 7*h - 140. Suppose -3*z + 668 = h. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5 + 19 + 0 - 5 - 113*w. Let d be c(5). What is the units digit of 1\/(d\/(-184) - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 3:44 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 1 = 13. Let t = 9 + 0. Suppose -100 = -t*h + d*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4077 and 2532723.\nAnswer: 22794507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 + 2)*(0*k + 4*k - k) to the form x + v*k and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(-2*o - 2*o - o).\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 18*o**2 - o - 1. Suppose 2*g + 4 = 4*f, -f = 1 - 0. Let h be 1\/g - 9\/12. Is 10 a factor of d(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p + 28. What is s(-9)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28734577153 + -21?\nAnswer: 28734577132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.4000632kg?\nAnswer: 400063200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9410727680 rounded to the nearest 1000000?\nAnswer: -9411000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d = 48*d - 30800. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1703, 3389, 5069, 6743, 8411?\n\"Answer: -3*n**2 + 1695*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 32030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40*r*w**2 + 682*r*w + 350*r - 8*w**2 + 2466027 wrt r.\nAnswer: -40*w**2 + 682*w + 350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:36 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.9*1160.\nAnswer: 27724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 8*q**2 + 6*q + 7. Suppose -3 = -g + 4. Let c = g - 0. Let b be m(c). Solve b = 3*t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 611192690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*t - 2320 = 129*t + 7192 for t.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1872?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (-27 - -4) - (-19 - -42)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 72528 to the power of 1\/2, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f**2 + 5*f + 5. Let y(t) = -8*t**2 - 6*t - 6. Let u(m) = -6*p(m) - 5*y(m). Let q(c) = -18*c. Let v(g) = g. Let b(x) = -q(x) + 2*v(x). Give u(b(h)).\nAnswer: -800*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 83735673?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, v: 4, q: 4}. What is prob of picking 1 u and 1 q?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3 + 11 = 0. Let r(p) = 3*p**2 - 4*p + 2. Let q(d) = -16*d**2 + 21*d - 11. Give s*q(y) + 11*r(y).\nAnswer: y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1. Let z(u) = u - 2. Let h(k) = -g(k) + z(k). What is the units digit of h(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 4*l = 75. Suppose -g + 2*t = -l, 0*g - 5*t - 7 = 3*g. Is -2\/45 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 94 = -2*j - 24, 4*j - 105 = -3*m. What are the prime factors of m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -238 - 4?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2603936 divided by -7\nAnswer: 2603936\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24792097117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 6, 5 in increasing order.\nAnswer: -2\/9, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3370, 6710, 10050, 13390?\n\"Answer: 3340*x + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-2))\/1*(-1856)\/5104.\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -4 - (-3 + -2). Solve d = -m + 1 - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + 2*c**3 - 2*c**3)*(0*c + 4*c - 5*c) - 197*c**4 - 150*c**4 + 4*c**4 + (6 - 4 - 1)*(c**4 + 2 - 2) + 2*c**4 - 2*c**4 + c**4.\nAnswer: -342*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 35*x**2 - 64*x + 50. Calculate i(-33).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -1. Let a = x + 3. Suppose -3*j + 0*j - r + 78 = a, 4*r + 13 = j. Calculate the remainder when j is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 2527053*i - 2527053*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*x - 55, r + 3*x - 56 = -78. Let d(l) = -6*l - 37. What is d(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5 = -o, t + 176 = -3*o + 202. Let f = -17 + 28. Calculate the remainder when f is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 496 - 512. Let s(q) = -q**3 - 5*q**2 + 24*q + 2. Calculate the smallest common multiple of 2 and s(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8930167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x**2 + 6*x - 84. Let g(u) = 2*u**2 - 3*u. Calculate -2*g(d) - k(d).\nAnswer: 2*d**2 + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*2*(-1 - -2). Let d be (-48)\/(-10)*(-70)\/c. Suppose k = -5*o - 3*k + d, -16 = -o - k. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1549048, 3098097, 4647146?\nAnswer: 6196195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 212 divided by -2\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4. Suppose -20 = q*n + 3*n. Let f(v) = v**3 + 8*v**2 - v**2 - 4 + 2*v - 3*v**2. Calculate f(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 + 9*j**2 + 101*j - 466. Determine g(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6086?\nAnswer: 2, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a micrometer in nanometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -688393, -690637, -692867, -695077, -697261, -699413, -701527, -703597?\n\"Answer: t**3 + t**2 - 2254*t - 686141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3277, -3376, -3477, -3580, -3685?\nAnswer: -3792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**3 + 372*p**2 + 142*p - 204. Let a be x(-74). What is the greatest common factor of 60 and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.662 + -5579\nAnswer: -5578.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8 = -u. Suppose -2*f + 20 = x, 2*f - u*x = f. Suppose h - 3 = 2*i, -4*i = i - h + 3. Solve i*z = 2*z + f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**5\/5 - 41654*d**4\/15 - 35709568*d**3\/15 + 50721014*d**2 - 383009544*d\/5 - 810905256\/5 = 0.\nAnswer: -1746, -7\/6, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-2)*1\/(9\/9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -174. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**3 + 6*f**2 + 4*f - 5. Let h(n) = -n**3 - n + 1. Calculate -5*h(c) - q(c).\nAnswer: c**3 - 6*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o - 6 = -3*x, 0 = -4*o + 3*x + 3. Let q(j) = -3*j**3 - 3 + 2*j**2 + 2*j + 0*j**o + 2*j**3. What is the units digit of q(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2*m\/(m\/(m\/m**11)))\/(((m**(-4\/5)\/m)\/m)\/(m\/m**(-3\/13))) assuming m is positive.\nAnswer: m**(-258\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2\/7*z**4 + 0 + 6\/7*z - 2\/7*z**2 - 6\/7*z**3 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, x: 2}. What is prob of picking 3 j and 1 x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 22. Let j be l(11). Sort 7, 5, j.\nAnswer: j, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123460 is divided by 401.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 10:12 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 720 is divided by 50?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 124, -4, 8 in decreasing order.\nAnswer: 124, 8, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6785, -7748, -8715, -9686, -10661, -11640, -12623?\n\"Answer: -2*p**2 - 957*p - 5826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/15 - 8\/12) + 9411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - m + m + (-4*m + 2*m + 0*m)*(0*m + 2*m - m) - 2*m + 0*m - m**2 - m.\nAnswer: -2*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1435 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2780*q**3 + 2756*q**3 - 8310*q**3 + 2775*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5)**(-1\/27) assuming f is positive.\nAnswer: f**(-5\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7042 is divided by 164?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9034 divided by -90?\nAnswer: -4517\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -664\/13 - -2255660\/44161. Let i = j - 105467\/135880. What is the common denominator of -59\/10 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 0 + 4)*(519*l - 3 + 3 + 1093*l).\nAnswer: 20956*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 9*p + 5. Let s be j(8). Let v(w) = 3*w - 2. Let l(y) = -4*y + 3. What is s*v(g) - 2*l(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-120)\/(-57) + ((-32)\/(-72))\/(4\/(-18)). What is the third biggest value in 4, 2, -15, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpdp when four letters picked without replacement from {d: 5, p: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 1. Let k = -9 - -8.8. Which is the closest to k? (a) u (b) 0.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhh. What is prob of picking 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -12 - 2*q + 2 + 4*q. Let x be b(6). Suppose 2*p - 2 = x. Solve -3*d = t - 0*d + 1, -4*t + 16 = p*d for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-2))\/(-1) + 10. Suppose 0 = -4*p - 12 + 28. Suppose 0 = 4*a + p, 2*v + 106 = 4*v + 4*a. What is the greatest common divisor of r and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -959 - -957. What is the closest to b in -0.1, -6, 1\/8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 + -73.9. What is a rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + c**3 + c**3)*(-9674 + 9674 - 54*c).\nAnswer: 54*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 465 + -465.0912. Let t = 0.08717 + h. Round t to 4 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {a: 2, m: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.250581 millimeters in centimeters?\nAnswer: 0.4250581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3456)*-2)\/((sqrt(240)\/sqrt(4))\/sqrt(5)).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -115009928 or 1?\nAnswer: -115009928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -2 + -3 + 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**3 - 4*p**2 - 7. What is o(-3)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 196*d**2 + d - 1. Let b be j(1). Suppose -5*h = -39 - b. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1. Let y = -2662.96 + 2663. Sort r, y, 2\/9, -1\/5.\nAnswer: r, -1\/5, y, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -133 - -89. Let k = 91 + t. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -162*c - 173*c + 501*c - 164*c. Let s(n) = 97*n + 14. Calculate s(i(g)).\nAnswer: 194*g + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3624889753.\nAnswer: 17, 127, 223, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112\/11 + (-6)\/33.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4094)\/(-623) - (-8)\/(0 - 1)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11806239.\nAnswer: 3, 19, 207127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.63 + -44.63. Which is the closest to -2\/3? (a) m (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90163075 and 7?\nAnswer: 631141525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14\/13 + -71\/78. Let b(m) be the second derivative of -1\/2*m**2 - 1\/12*m**4 + t*m**3 - 2*m + 0. Let k(x) = -3*x**2 - x. What is -b(h) + k(h)?\nAnswer: -2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*p + 16 = -u + 193*p, -5*u + 2*p + 8 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -49, -172, -455, -982, -1837, -3104?\n\"Answer: -14*w**3 + 4*w**2 - 37*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 4 - 3*2. Let z(f) = -3*f**2 + 108*f + 8. Let w be z(36). What is the tens digit of -1 + 214 + y + w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 111 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -21*f**2 + 33*f + 139. Let v(s) = -4*s**2 + 2*s - 2. Let l(n) = i(n) - 5*v(n). Determine l(28).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61023.\nAnswer: 3, 20341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 49?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -87 times 8\nAnswer: -696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 39*x**2 + x + 7. List the prime factors of k(8).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8616906.\nAnswer: 2, 3, 239, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**4 + 0 + 0 + (-4*d**3 + 3*d**3 + 3*d**3)*(-110*d + 11*d - 27*d) to c*d**4 + s + w*d**2 + l*d + v*d**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -237325852*h**2 - 212141508 wrt h?\nAnswer: -474651704*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*l = 1809, 1518 = 4*f - l - 904. Calculate the remainder when f is divided by 74.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (-6)\/(-15)*5. Suppose 0 = 4*d - 2 - j. Suppose u = -4*i + 293, -119 = -d*i + 5*u - 0*u. 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: Two letters picked without replacement from qhhwhmhht. Give prob of sequence hh.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 48\/19 + 10\/19*s - 2\/19*s**2 = 0.\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 - 8*h**2 + 3*h + 30. Let a be q(-5). Suppose -3*y - a = -95. What is the remainder when 19 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 9:20 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 - 30*b - 95. Give a(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2904 - 3086. Round v to the nearest one hundred.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -48, -48, -46?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -330576.2?\nAnswer: 330576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77 - 83 + 2*l + 162)*(-3*l + 0*l + 0*l).\nAnswer: -6*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + 607?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 5*j**2 - 7*j + 4. Let i be p(6). Let w = -442 + 569. Suppose -w = 44*v + 93. Sort 3, i, v, -1.\nAnswer: v, i, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 9*n**2\/2 + 5*n + 40. Let u be g(8). What are the prime factors of ((-64)\/(-5))\/(-3 + u\/25)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + -2 + 2 - ((-112285)\/(-2340))\/17 and 27\/148?\nAnswer: 17316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 + 100. Let t(q) = 8*q - 7. Let x be t(z). Solve 0 = -2*v + x + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115163 is divided by 114887?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 238\/36 - (-2)\/3 and 105\/(-12)*14\/(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 2*x - 6*x. Let r = -2 - -5. Suppose -3*y = -x + r. Solve -4*p - 11 = y*o, -2*o + p + 4 = -2*p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -91365?\nAnswer: 2\/91365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*-2*sqrt(272) + sqrt(272) + (-1 + sqrt(272))*6)*2*3.\nAnswer: -36 + 456*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -10. Which is the third biggest value? (a) -1\/2 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 25. Let x be v(20). Let o(r) be the second derivative of -r**3\/3 + 5*r**2\/2 - r. Let c be o(x). Put -4, c, 1 in decreasing order.\nAnswer: 1, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -580*s + 2. Let m(p) = -11*p + 4. What is c(m(h))?\nAnswer: 6380*h - 2318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1003 (base 4) to base 8\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.07, -3\/334 in decreasing order.\nAnswer: 2\/7, -3\/334, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 10*w - 11. Let o be b(-8). Let x be (-150)\/(-9)*6\/o. What is the units digit of (-63)\/(-5) + x\/50?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + u**2 + u + 1. Let v(w) = -2*w + 20. Let d be v(9). Determine a(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3779 - -12?\nAnswer: 3791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112616 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in -4, -845, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l - 12. Let t = 15 - l. Let p = t - -36. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6415 - 5453. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -11*j + 9*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.0413\nAnswer: 0.01652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320)*3 - (sqrt(405) + (-2*sqrt(405))**2).\nAnswer: -1620 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 23*m + 3. Let x be b(-23). Suppose 4*l = -x*h + 13, 0*l - h - 17 = -4*l. Solve -4*c - l = z, c - 2*c = 3*z + 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4375 by -1.\nAnswer: -4375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -452.9.\nAnswer: -905.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a microsecond in nanoseconds?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 8 - -1 - -13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + 12)\/(1\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 8 - 17)*(479*k**3 - 552*k**2 + 552*k**2)*(2*k - k - 2*k).\nAnswer: 2395*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/11))\/(h\/(h**(-18)*h)) assuming h is positive.\nAnswer: h**(-189\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -283.97 + 283.62973. What is f rounded to 3 decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 8*n = 4*u, 10*n - 50 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49557.\nAnswer: 3, 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5867, -1, -4, 6 in increasing order.\nAnswer: -5867, -4, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 8*t**2 - 2*t - 10. Let v(q) = -7*q - 1. Let a be v(1). Give n(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 25 = 5. Let n be -2 + 16\/6 + (-1344)\/(-36). Suppose 3 = -n*k + 35*k. Sort f, 2, k, 4 in increasing order.\nAnswer: f, k, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 9*r**2 + 7*r + 8. Let s be m(-10). Suppose s*t - 36*t = -8. Put -94, -3, t, 1 in descending order.\nAnswer: 1, -3, t, -94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -29. Let p be ((-8)\/(-6))\/v + (-13)\/(-39). Which is smaller: p or 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*u + 4*u - 18, 5*u - 22 = -o. Let p = -7 - -14. Solve -s - k = -5, -u*k + p*k - 7 = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (47667 - 664*u - 47667)*(270 - 41*u - 270) as d*u**2 + j*u + z and give d.\nAnswer: 27224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, j: 8, u: 4, e: 5}. What is prob of sequence ujus?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/22039528 and 27\/10094?\nAnswer: 154276696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.2343 - 1.7657. What is the closest to 0 in -2\/9, -0.22, c?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1420)\/(-426) + (1 - (14 - 1) - 3).\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13522281 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 623 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 276 and 1900536.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3339 and -38839.\nAnswer: -12968.3421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*l + 729*l + 766*l)*(-2*l + 6*l + 0*l).\nAnswer: 5920*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/9))**16\/(j*j**(-1\/4))**(2\/3) assuming j is positive.\nAnswer: j**(343\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26775 = 5*l + 775*l + 2595 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 3*v + 4*u = 0, 29 = -v - 5*u. Let l be -20*-1*v\/(-8). Solve 0 = -2*s - 3*s + l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 17*g + 30. Let c be q(-15). Let r(k) = 3 - 3 - 5*k + c. Let v(s) = 2*s. Determine v(r(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12458.939266 rounded to 0 decimal places?\nAnswer: -12459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -9, t + 5*n = -2*t + 9. Solve -3*l = l - t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1046 and 11223580?\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Does 363 divide 1675608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1590 and 1.\nAnswer: 1590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**4*n - 1103*b**3*n**2 - 1553*n**2 wrt b?\nAnswer: 8*b**3*n - 3309*b**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168000 is divided by 167999.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/125)*(s\/(s\/(s**(-4\/13)*s*s)))\/s*s**(-10\/3)\/(s**(-20)\/s))**(2\/13) assuming s is positive.\nAnswer: s**(178844\/63375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k + 4*k**2 - 4 + 6*k**2 + 9 - 2*k**2. Let o(b) = -8*b**2 + 4*b - 4. Suppose 16*g + 12 = 13*g, 2*g + 4 = -w. What is w*t(h) + 5*o(h)?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 92*c + 0 + 229*c - 8.\nAnswer: 137*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 2*a**2 + 9*a**3 + 7*a**3.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1170)\/(-345)*2070\/90?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*i + 138*i = -16241000. Round i to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18996 divided by 10\nAnswer: 9498\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 2, -167, -2, 3 in descending order.\nAnswer: 5, 3, 2, -2, -5, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (-5*3*(2*sqrt(2299) - sqrt(2299)) - (3 + ((sqrt(2299) - 1*sqrt(2299)) + 4)**2))).\nAnswer: 70 + 825*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-92)\/(-552))\/((-1)\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = 9*v + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49? (a) 1\/6 (b) -3 (c) -2 (d) 53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**4\/12 - 9*u. Let o(j) be the first derivative of 2*j**3\/3 + 3. Calculate o(n(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -68*d**5 + d**4\/4 + d**3\/2 + d**2\/2 - 21*d. Is q(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12879 + 12880. Which is the fourth biggest value? (a) 2 (b) h (c) -39 (d) -1 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*q = -4337 + 4205. Which is smaller: q or 180?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.42 rounded to 0 dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 2 - (-144)\/(-27) - 32\/3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36368.\nAnswer: 2, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 83831.1 micrometers?\nAnswer: 83831100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or -14.2?\nAnswer: -14.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2393*m + 1903*m + 1346*m.\nAnswer: 856*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1043.9 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/3 (b) 3 (c) -14\/3 (d) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37802 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 448 = 7*m. Let c = m + 196. What are the prime factors of c?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 534.\nAnswer: 533.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 12:57 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 700 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 2:50 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21520 rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 11*n - 6. Let r(a) = -a**2 - 4*a + 2. Let w(o) = -11*r(o) - 4*u(o). Let z be w(-2). Let v = 23 - z. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*7*(-24)\/7. Suppose 3*q = 3*v - o, 5*v + 0*q - 3*q - 30 = 0. Suppose 5*t = -2*r + 11, v*r - 13 = 2*t - 2*r. What is the biggest value in t, -5, -2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97*d - 1 + 92*d + d**2 + 1 to the form j*d**2 + g + f*d and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 644932060.5000687 - 644932504.5. Let r = k - -444. What is r rounded to six dps?\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/27245340 and -43\/30.\nAnswer: 27245340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 = 4*x, -3*x = 4*z - 34 - 7. Suppose -z*o = 20 - 100. Solve 2*d = -3*m + 23, 2*m + 0*m + o = 5*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - ((5 - 6) + -24 + -2 + -4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11*-159\nAnswer: 1749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 9*d + 20, -48*s + 2 = -46*s + d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5\/26 (b) 2\/79 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 106618*q + 2666080. Determine x(25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1757*r = 1773*r. Suppose -2*q + 2*w + 71 = w, -2*w + 164 = 5*q. Solve -5*z - 5*k = -q - 16, 3*k - 15 = r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -3. Let v = 50.74 - 53. Let i = v - -2.2. Which is smaller: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6+-2017951977943\nAnswer: -2017951977937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31407 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c + 15*c - d - 16, -5*c = -5*d. Let u = 7 - 5. Let n(i) = -2*i - 2*i**u + 3*i - 3*i. Let x(g) = g**2 + g. What is c*x(b) + n(b)?\nAnswer: 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68.3 - -68. What is the third biggest value in 5\/4, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86919722 divided by -62.\nAnswer: 1401931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26558500?\nAnswer: 2, 5, 53117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.22 - -0.38. Let u = 832079 - 832078.39999985. Let r = k - u. Round r to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 18 = -3*p, -15*n + 16*n + p = 5. Suppose 0 = -2*f + f + 3, 0 = -n*d - 4*f + 348. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57543582*t**2 - 39754084*t wrt t.\nAnswer: 115087164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -3. Let x = 162 + -155. Let u = x + g. Which is the second biggest value? (a) 1 (b) u (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 3 = -3*k - 4*v, 3*k - 3 = 2*v. Let b(j) = j**2 + 5*j + 3. Let w be b(-4). Let a = -2 + w. Put 4, a, k in ascending order.\nAnswer: a, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -439\/9 + 49. Let r = 3.958 + 0.042. Which is the closest to t? (a) -4 (b) r (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2324 - 3436 + 870 = 489*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30374)\/(-12) + 16\/(-4). Let j = 2534 - t. Calculate the common denominator of (-3 - 0)\/((-22)\/(-26)) and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18.45812976 from 162.033.\nAnswer: 143.57487024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -210*j**6*w + j**4*w + j**2*w + 769*j**2 - w wrt j?\nAnswer: -25200*j**3*w + 24*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirty-one halves of a microsecond?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1023.22 from -0.07531212.\nAnswer: -1023.29531212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 - 12. Let w = c - -98. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v + 5. Let i be (-3906)\/(-144) - 1\/8. Let f = i - 30. Let u(q) = -10*q - 26. Give f*u(h) - 16*p(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**3 + 2*k**3 - 6*k**3 - 5*k - k.\nAnswer: 2*k**3 - 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.671 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 441*i - 444.\nAnswer: 3*(i - 148)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x + 15 = 0. Let f(o) = o + 3 + x - 2. Let u(p) = 2*p + 11. Let g(a) = a**3 + 17*a**2 + a + 14. Let v be g(-17). Give v*u(m) + 8*f(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4067641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/10)\/((-4)\/2360). Is 2 + 2 + g\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.305 + 0.035. Let d = 3.07 + q. Let h = 2.7 - d. Which is the third biggest value? (a) -1\/16 (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times -30\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/6 of a hour in seconds?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 5. Let s = t + -6.3. Sort -4, s, 2\/9 in ascending order.\nAnswer: -4, s, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12968 and 7864.\nAnswer: 12747544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/4 (b) 2\/13 (c) -1\/4 (d) -2\/5 (e) 31587\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.8 + -6. What is the nearest to 0 in c, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 197*d**3\/3 - 4*d**2 + 12*d - 24. Is c(2) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 0.053389?\nAnswer: 0.553389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**9\/151200 + p**8\/10080 + p**7\/1800 + p**6\/600 - p**5\/15 + 27*p**2. Let n(u) be the third derivative of x(u). Factor n(m).\nAnswer: 2*(m + 1)**2*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35725 and -0.01?\nAnswer: -357.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 94, 213, 364, 559, 810?\n\"Answer: 2*c**3 + 4*c**2 + 93*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0*k + k)*(k**2 - k + k)*(118 + 30*k**2 - 118).\nAnswer: -30*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1548 (base 15) in base 5?\nAnswer: -121233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/26 (b) -1\/4 (c) -13 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(187))\/(sqrt(176)*1 - sqrt(11)) + 3 + -1.\nAnswer: 2 + 10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 101\/9 (b) 0.04 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**3 - 5*g**2 + 8*g. Let v be y(-6). Let f be -1 + (1328\/v - 2). Let m = -323\/210 - f. Find the common denominator of 97\/20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -20*i + 31. Let l be t(-10). Suppose -18*b + 15*b = -l. List the prime factors of (0 - 2)*(3 - b\/2).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*405\/(-108)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n - 2. Suppose d - 3*a + 18 = 4*d, n = -4*d + 5*a. Suppose -3*v - 5*b = 11, v = b + 8 - 1. What is the nearest to v in d, -1\/2, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23723*p*r**3 - 9025*r**3 wrt p.\nAnswer: 23723*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1606 - 78?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -7*x + 51. Solve -2*a + x*z = 2*z - 2, -5*a = -4*z + 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 5*z + 130. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t**3 - 17*t**2 - 15*t + 9. Let c be j(-6). Suppose 4*s = 2727 - c. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**4 + t**3 + 2414036*t**2 - 1485940*t?\nAnswer: 12*t**2 + 6*t + 4828072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/7 + 0 - -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*k + 4*k**2 - 6*k**2 + 0*k**2 + 3*k**2 + 346.\nAnswer: k**2 + 25*k + 346","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.03047 (b) 77700 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f**3 - 3*f - 3. Let g(w) = -6*w**3 + 4*w + 4. Suppose 0 = -4*q - 4*o + 24, -4*q - o + 60 = 42. Calculate q*v(d) + 3*g(d).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 828 and 828.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13256, 52981, 119156, 211781, 330856, 476381, 648356?\n\"Answer: 13225*j**2 + 50*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 11) to base 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p**3 + p**2 + p - 1. Let l be (6\/(-4))\/(2\/(-4)). Suppose 3 - 6 = -l*b. Give m(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 6 = -5*o, -1793*o - 5*b = -1788*o + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 - 8*v + 6. Suppose -2*y + 0 = f + 4, 5*f - 4*y - 36 = 0. Suppose 5*b - 4*n - 4 = 13, -f*b + 14 = -3*n. What is x(b)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03247 + -28.09747. Let q = c - -28. Round q to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 12 = -0*j. Let n = j + 16. Calculate the lowest common multiple of n and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36.98 + -36.78. Which is the fourth biggest value? (a) -3 (b) t (c) 5 (d) 0.05 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11241144 - 320367.\nAnswer: 10920777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13224708 by 17493.\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 17*b + 5. Let m be v(-17). Calculate the greatest common divisor of 35 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 5*j = -h + 25, 2*h + 5*j = -24. Let y(d) = -d**3 - 5*d**2 - 7*d + 5*d - 10 + 0*d**3 - 2*d**2. Is 4 a factor of y(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100000101011101 (base 2) in base 14?\nAnswer: 3bc17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 149864\/3575 - (-5)\/((-1000)\/(-16))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/529065 and -145\/1422.\nAnswer: 83592270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 48. Let w be 1 + 3 - 3 - m. Solve 0 = 3*z - w, -4*o + 2*o - 18 = -4*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7352583 litres?\nAnswer: 735.2583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102*0.2.\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/7 (b) 124 (c) -2\/5 (d) 2\/7 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110111001111111010010 (base 2) to base 9.\nAnswer: 7315118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2088970?\nAnswer: 2, 5, 13, 16069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 6*s**2 - 4*s - 64. What is f(-6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 42956142 divided by 1471\nAnswer: 29202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 61*g + 20*g - 2 + 5.\nAnswer: -41*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = m + 6524 - 3222 - 3241, 4*a - 46 = -2*m for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-7*j - 3 + 0 + 1)*(j**2 - 3*j**3 - j**2).\nAnswer: -42*j**4 - 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 12) to base 11.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 416764253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 34854772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 3*a + 3*a)*(-3 + 3 - a + (0*a - 3*a + 4*a)*(3 - 1 + 1) - a + 0*a + 4*a).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 2*d - 1. Suppose -2 = -4*f + 5*f. Let c be y(f). Let v(o) = -9*o + 11. Let i(a) = 4*a - 5. Give c*v(k) + 7*i(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3109 divided by -3.\nAnswer: 3109\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/12 + (-42)\/(-8). Suppose -4*h - 12 = a*p, 4*h + 5 = -3*p + 1. Solve -h + 5 = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -6*r**2 - 1\/30*r**5 + 0*r**4 + 0 + 0*r + 0*r**3 + 0*r**6 - 1\/30*r**7. What is the third derivative of p(h) wrt h?\nAnswer: -168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*b + 5. Let t(s) = 21*s - 1. Let h be t(b). Suppose 3*j + 4*x = h, 0 = -j - 3*x + 13 + 25. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10765, 10751, 10737?\n\"Answer: -14*u + 10779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from {b: 6, s: 1, a: 4, x: 2, y: 4}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 669514636271.599948 + -669515841390. Let l = 1205098.4 + q. Let k = l + 20. Round k to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 8*z**2 - 11*z + 7. What is h(7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 604000 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1439.69 * -2.4.\nAnswer: 3455.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1037561434 to the nearest integer?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53822719.\nAnswer: 53, 1015523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7418*n**3 - 3782*n.\nAnswer: 44508*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -30 (b) 1\/3 (c) -5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*c - 7*c**3 - 34*c - 38*c + 20*c.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/17 + 9804*t**2\/17 - 736302*t\/17 + 726496\/17 = 0.\nAnswer: -4976, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -7.525288897764.\nAnswer: -7.525288897764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 9:26 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27644661 = -304*g - 27644357 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 376 = -5*k, 296 = 3*k + v + 68. Let p = k + -44. Calculate the remainder when p is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - y**2 + y - 1. Let x(z) = -z**3 - 1. Let m(h) = -2*h**3 + 2*h**2 - 4*h + 10. Let k(g) = -m(g) - 4*x(g). Determine -4*b(a) + k(a).\nAnswer: 2*a**3 + 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.251311t?\nAnswer: 2251311000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1810 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 640 divided by -682\nAnswer: -320\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4*sqrt(1584)*-3*-2 + 0))**2.\nAnswer: 14598144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1679\/4, 4, -21\/20?\nAnswer: -21\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2\/13 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 55 = 13*q, 5*q - 21 = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.665\nAnswer: 1.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1880103 to three dps.\nAnswer: -1.188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 9. Let n(j) = -3 - j - 1 + 9. Calculate 3*d(m) - 5*n(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 2:29 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 74 in -0.1, -8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -41 + 141. Is (2 + q\/(-15))\/(2\/2733) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*s - 94*s + 7*s - 3262 = 0 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30381 by 779.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 2838.\nAnswer: 14190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*n - 794 = -6*n + 514 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5580 + -5524. What is the highest common divisor of 217 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.8*61234\nAnswer: -293923.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -6. Suppose 3*d + 4*c = -3, 5*d - c = 19 - 1. Solve 2*f - 4 = -d*y - o, -f = 5*y - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 2 + 11*o**2 + 0*o - 8*o**2)*(o**2 + o**2 - 4*o**2).\nAnswer: -6*o**4 + 8*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43717 is divided by 10921.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1414*t = 1416*t - 285847, -h = -t - 285853. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**3 - 2 + 1978*a + 1 - 1973*a + 15*a**2 as y*a + o + b*a**2 + r*a**3 and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-2*4)\/1)\/(202\/101)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33411 + -3?\nAnswer: 33403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4 - 1984037*b**3 - 1312137579168*b**2 - 289262478811290624*b - 1446279590864977920 = 0. What is b?\nAnswer: -661344, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62687 = -67*s + 8039 + 21868. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -203 (b) -3\/2 (c) -7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/b**4*b)\/b)**(-1\/9))**(-30) assuming b is positive.\nAnswer: b**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 58. Suppose z = -2*d + 84 + 736. Round d to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294141 is divided by 121?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*b = -0*b - 9, -12 = 2*m - 4*b. Let q = -12 + 6. Let j be 3\/q - (-2)\/(-4). Sort 1, m, j in ascending order.\nAnswer: j, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 0 + 5 + m + 0. Let t be z(7). Let w be 9\/t - (-3)\/(-4). Solve w = -4*p - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 8:00 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + sqrt(2) + 2 + 1*sqrt(200)) + (3 + 2 + sqrt(32) - sqrt(32))**2*-2.\nAnswer: -66*sqrt(2) - 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203914, 817230, 1839424, 3270496, 5110446?\nAnswer: 7359274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 11. Let k(d) = -d**2 - 6*d - 1. Let m be k(h). Let q(f) = 0 + m*f + 1 - 2*f - 3. Calculate q(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -3, 82\/9, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*u = -35, -2*t + 30 = -0*t + 4*u. Let v = -2 - -5. Suppose -v*i + 2*q = 2*i + 11, 3*q = 5*i + 9. Put i, 2, t in descending order.\nAnswer: t, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15934, 15933, 15930, 15925?\nAnswer: 15918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k. Let y(h) = h. Let w(z) = z**2 - 5*z - 7. Let x be w(7). Let p(q) = x*y(q) - 2*u(q). Let c(o) = -2*o**2 + o**2 + 3*o**2. Give p(c(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**7))\/(q\/(q*q**(-1\/5)*q*q))*q**(-3\/10)\/(q*q**(7\/6)))**(3\/4) assuming q is positive.\nAnswer: q**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q**2 + 7*q**2 - q**3 - 40*q + 35*q to t*q + p*q**3 + h + a*q**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 438 and 54?\nAnswer: 3942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 64068\/30 - 1\/(-15)*-9. Let w(j) = 2135*j + 2*j**2 - o*j. Let b(p) = 35*p. Calculate b(w(l)).\nAnswer: 70*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -492 - -496. What is the second derivative of -187*w - 131*w**5 + 26*w**q - 26*w**4 - 28*w + 17*w**5 wrt w?\nAnswer: -2280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -27*x - 106. Let u be o(-18). Suppose -15783 = -383*d + u*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -3) + -4 - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -13. Let z be y\/((-7)\/(7\/(-2))). What is the second biggest value in -1\/5, -2, z?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/(-9))\/(-3)*(-6)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3952087977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/(-85) - (-9)\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*t**4 + 14424*t**3 - 1893996*t**2 + 9290160*t + 9363600 = 0. Calculate t.\nAnswer: -6\/7, 6, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/63 (b) -0.4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, a: 5, i: 3}. Give prob of picking 2 a.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 3 in descending order.\nAnswer: 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 3. Let t = 6.92 - 9.4. Let w = -2.5 - t. Which is the third smallest value? (a) w (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185 + 226 + 77 + -184.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 426*h**2 + 0 + 3 - 423*h**2)*(7*h + 2 + 6 - 9*h).\nAnswer: -6*h**3 + 28*h**2 - 22*h + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + -7)\/(2\/2). Let w(f) = 6*f**2 + f + 3. Let s(d) = 9*d**2 + d + 4. Let q(y) = -5*s(y) + 8*w(y). Calculate the least common multiple of q(k) and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 + -61. Calculate the greatest common divisor of f and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.9 + -8. Let b = -0.8999966 + a. Round b to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + sqrt(19) + -1 + -2)*4)**2 - (-4 + 1 + sqrt(684) - sqrt(684)*-3*-3)**2.\nAnswer: -42905 - 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, n: 1, z: 1, q: 5, j: 4}. Give prob of sequence zjq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4797 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**2 + 4*r. Let u(j) = -6*j**2 - 5*j - 1. Calculate 4*i(x) + 3*u(x).\nAnswer: 2*x**2 + x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.141, -1, 3\/7 in ascending order.\nAnswer: -1, 0.141, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from qiqiaiqiiiaiiiiiii.\nAnswer: 26\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (31 + 4)*(-4)\/(-10). Let o be h\/(-35) + (-44)\/(-10). Differentiate -o*d - 7*d**4 + 4*d - 2 wrt d.\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2580 is divided by 643?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -10 - (9 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-48)\/(-10))\/(17\/850). What is the greatest common divisor of r and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 256 - 181. Suppose 0 = 4*k + 5*r + 52, 6*k - 3*k = -2*r - 32. Let y = g + k. Calculate the remainder when y is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 5 - 9*y + 1\/66*y**4 + 4\/11*y**2 + 4\/33*y**3. Let r(h) be the first derivative of i(h). Factor r(x).\nAnswer: 2*(x + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1863)\/45)\/9)\/((-1071)\/1224*(-8)\/70).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2087412 litres?\nAnswer: 208.7412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -5. Suppose -g = -3*v + 11, -q*v + g - 5*g = -16. Suppose 0*j + 5*j = -v*f + 25, 3*j + 39 = 3*f. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -905 divided by 4\nAnswer: -905\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -324*j**2 - j - 6 + 325*j**2 + 1 in the form f*j + a + x*j**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 965 = -2935. Let k = x + -199. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -524 - -556. Suppose -v*i + 19460000 = -25*i. Round i to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -5*a - 41, 5 = 2*x + 2*a + 31 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*m - 69*m - 77*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47057625 by 9411525.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dz when two letters picked without replacement from dddjjdjjjz?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (144\/(-80))\/((-6)\/20). Calculate the highest common divisor of r and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -22. Let f be ((-24)\/(-15))\/(3\/a). Let y be (-3)\/(-2)*f\/(-6). Does y = -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603 is divided by 60.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 799*o + 102 + 707 = -4784 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i. Let o(j) = j. Let r = 13 - 5. What is r*o(y) + 3*g(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10529284.89129 - -222.89129. Let r = -10529079.999964 - g. Let i = -18 - r. What is i rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + 110\/(-35))\/((-152)\/56 + 5). Which is the biggest value? (a) 0.2 (b) n (c) 1 (d) -2\/5 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101101011101111111 (base 2) to base 9.\nAnswer: -1302584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -678937 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-6)*5\/((-10780)\/147).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*c**2 + 29 + 0*c**3 - 6 - 12 - 8 - c**3 as k*c + v*c**2 + p + y*c**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**2 + 148096*f - 20364228 = 0.\nAnswer: -37161, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8 = 32. Let j = 31 - 44. Let k(l) = l + 2. Let n(z) = z - 3. Let g(o) = k(o) - 2*n(o). Let x(q) = 2*q - 17. Determine d*x(i) + j*g(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (5 + -19) - (5 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 6*r. Let c be p(-12). Let j be (c\/(-10))\/(4\/30). Let f = 150 - j. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ungbhubs. Give prob of picking 1 g and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(sqrt(12) - sqrt(3)))**2 + sqrt(27)\/(-2*sqrt(9)) + ((sqrt(24)\/(-2*sqrt(8)))**2 - sqrt(3)).\nAnswer: 17*sqrt(3)\/2 + 115\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -2*v + 71. Determine x so that 1\/2*x**4 + 0*x + 0*x**v + 0 - 1\/2*x**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(52) + sqrt(5200) + 2)**2.\nAnswer: 132*sqrt(13) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n + 3*n + 246. What is the remainder when n is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -23*m + 564. Give v(25).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/12610 and 74\/26481.\nAnswer: 264810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2034 divided by 339\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4c70bca - -2?\nAnswer: 4c70bcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -7*h + 11. Let p be w(-8). Let z = -45 + p. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (103 - -3)*(-4)\/(-4). Suppose 0*t - k = -3*r - 5*t, 5*r + t = 206. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5607294.\nAnswer: 2, 3, 7, 11, 53, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 29*i**2\/2 + 30*i - 7. Let u(b) = -10*b - 10. Let c(x) = -3*t(x) - 8*u(x). Find the first derivative of c(l) wrt l.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 12*y**2 + 4. Let t be h(-12). Suppose -318 + 90 = -t*l. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11788, 11788, 11804, 11848, 11932, 12068?\nAnswer: 12268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (2156 - -1))*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 21*n = -18*n + 360, 0 = -7*i + 2*n + 630. Calculate the remainder when 292 is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o - 5. Let q(m) = 2*m - 4. Suppose -2 - 2 = d. Let w = 75 + -72. Determine d*q(j) + w*l(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1629\/180 - (-136)\/(-17)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 174351333*j**5 + 105291458*j?\nAnswer: 3487026660*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -22 (b) 1 (c) -0.2 (d) -0.3 (e) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - -1 - 3*-7. Suppose 5*g + 0*g = -m. Let o = 15 - g. Solve -3*s + 14 = -5*f, o - 5 = -4*f + s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 661 (base 8) to base 10.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43836.0000195735 + 43836. What is b rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 24015336?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**4\/4 - 11*a**3\/2 - 45*a**2 - 99*a. Let u(x) = 0. Calculate x.\nAnswer: -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1092 (base 10) in base 15?\nAnswer: -4cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1\/4 (c) -2\/29 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 7337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*l = 40*l + 16539317 + 4316369. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1218 = -202265*x + 202307*x for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 3*a - 4*z - 11, 0 = 2*a + z + 3. Let n be (a - 0) + (2 - -1) + 128. What is the highest common divisor of n and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/42 and 7\/2447.\nAnswer: 102774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3 + 1.8. Let p = 67 - 63. Which is the biggest value? (a) p (b) f (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/2 - -37 - (53210\/4080 + (-1)\/24)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -1\/4 (c) 10 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -19 + 16 - 15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28947946 is divided by 1507?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*c + 64*c - 1 + 122*c.\nAnswer: 274*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**8\/1680 - j**4\/12 - j**3 - 1. Let s(h) be the third derivative of k(h). Differentiate s(b) wrt b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -9*x**2 + 38*x - 60. Let s(t) = -5*t**2 + 19*t - 30. Let y(p) = -4*h(p) + 7*s(p). Let a be y(18). Calculate the greatest common divisor of 24 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10530 and 26190.\nAnswer: 1021410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -14, -44, -76, -110, -146, -184?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 144, 149, 156, 165, 176, 189?\n\"Answer: f**2 + 2*f + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48? (a) -0.3 (b) -4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2332, -2168, -2012, -1870, -1748?\nAnswer: -1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 3*k - 5*k)*(2*k**2 - 6*k + 5*k + 4*k**2).\nAnswer: 6*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 609273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -5*r**4\/36 - 25*r**3\/18 - 10*r**2\/3 + 9*r. Factor n(c).\nAnswer: -5*(c + 1)*(c + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2329*q**4 + 16*q**2 + 4*q + 3731. Let d(n) = n**4 + 4*n**2 + n. Let m(o) = 4*d(o) - x(o). What is the first derivative of m(i) wrt i?\nAnswer: -9300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20466?\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7706 = 57*r - 1379 for r.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2459118*a**4*l - 3*a**2*l - 6*l + 55091 with respect to a.\nAnswer: 9836472*a**3*l - 6*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i = -32*i + 9. Let s(f) = 297*f**3 - 2*f**2 - 5*f + 7. What is the tens digit of s(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 0 + sqrt(2736) + -2)**2 + 5 + ((sqrt(684) + -3 - sqrt(684))**2 - (sqrt(152)\/(sqrt(64)\/sqrt(8)))**2).\nAnswer: -96*sqrt(19) + 10943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*a - 21 - 8, 0 = 2*a + 10. Let h be 1 + (-1 - -2140*20000). Suppose j + h = -p*j. What is j rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -62*12\/(-2)*22\/33. Suppose -h = -3*s + x, 7*h - 390 = -5*s + 4*h. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 777 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -355014 by 9.\nAnswer: -39446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q + 9 + 5*q - 10*q + 2*q. Let t be s(10). What is the highest common factor of 23 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/17))**(2\/37))**40 assuming h is positive.\nAnswer: h**(80\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 4. Suppose k + 2*v + 5 = 6*k, -5*v - j = -k. Let n = 2 - 2. Do n and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -322*s**4 - 2347*s**3 - 1298711*s**2.\nAnswer: -7728*s - 14082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142323970?\nAnswer: 2, 5, 569, 25013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22005*n**3 + 22277?\nAnswer: -66015*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 4)*(-r + 4*r - 2*r) - r + r - r + 6*r + 3*r - 2*r + (2 - 1 - 2)*(-3*r + r + 4*r) + 3 - 3 + 4*r + 7*r + 8*r - 14*r as x*r + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 98*n**2 - 235*n + 1175. What are the prime factors of r(94)?\nAnswer: 47, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, -3, 7, 21, 39, 61?\n\"Answer: 2*a**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.75112 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d = 6. Suppose 3 = d*k, 4*u + 0*k = 5*k - 3605. Round u to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*c - 297*c + 1 = -6*d + 5*d - 5, -12 = -5*d - c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -790.56248 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - (sqrt(128)*-2 + 2))*3.\nAnswer: -6 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 95595 divided by -4140\nAnswer: -6373\/276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1691*m**2 - 6063*m?\nAnswer: -3382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 228, 1510, 4988, 11760, 22924?\n\"Answer: 183*o**3 + o + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10832804107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-197 + 95 + 102 - 858*y)*(2*y + 0*y - 3*y) to the form k*y**2 + t + a*y and give k.\nAnswer: 858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {i: 13, j: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232.99*-124.26.\nAnswer: -28951.3374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-7))\/((-2)\/(-1736)*155)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -396 - 852. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.9 and 3234.84.\nAnswer: 3235.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**2 - 14*z**2 - 18*z**2 + 4*z**2 - 4*z**2 - 2*z**2 + (-2 + 2 - 4)*(-5*z**2 + 3*z**2 + 4*z**2) + z**2 - 3*z + 3*z.\nAnswer: -38*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 7 (b) -2\/3 (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-30)\/(-56))*((-146)\/(-16) + 460\/(-3680)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 401 divide 3848192347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 594 + 1b?\nAnswer: 5b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -11\/3217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 2 + (-2)\/1. Let h = 7 + p. Let u(x) = -8*x**h + x**2 - 1 - 2*x - x**2. Give u(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 4\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 - -51. Put n, -1\/4, -3, -4 in descending order.\nAnswer: -1\/4, -3, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 3. Let w be m(0). Suppose 0 + 2 = d. Suppose 0 = 3*r - d*r - 10. Solve 9*t = -5*g + 4*t + 25, 2*t = w*g + r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = -9*x + 8*x - 42 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77831\/23 - -3385. Is d at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 742881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*c - 86*c + 2992 = 64*c - 155*c for c.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2434 (base 6) to base 4.\nAnswer: 21112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 12. Let i = -0.8 - 0.2. Let u be 2\/(-29) + (-798)\/6090. Which is the closest to u? (a) 0.1 (b) i (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 j, and 1 e when three letters picked without replacement from oeyyj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g. Let j(d) = 5*d - 33. Let c(z) = -j(z) - 6*p(z). Is c(-21) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, 3, 1, 511, 25, 18 in descending order.\nAnswer: 511, 25, 18, 8, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108188 = 8*o - 3*o - m, 5*m = -15. What are the prime factors of o?\nAnswer: 7, 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5414, -10827, -16240?\n\"Answer: -5413*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - 5*a**2 - 8*a - 5. Let d be l(-3). Suppose -d = 7*z - 8*z. What is the remainder when z is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -450276840 divided by 90\nAnswer: -5003076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 237878659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2427436*c**2*i**3 + c**2*i - 3*c**2 + 11*c*i**4 - 72115278*i**2 wrt i?\nAnswer: 14564616*c**2 + 264*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -2\/7, -6.94, -1\/2, 18?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5902.735 rounded to the nearest ten?\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 449*b + 5. Let d(z) = 450*z + 7. Determine -4*d(a) + 6*j(a).\nAnswer: 894*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.1. Let h = -55.4 - -64.4. Which is the closest to p? (a) -5 (b) -0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/7)\/(g\/g**(-4\/5))*g\/((g*((g\/(((g*g**(-1))\/g)\/g))\/g)\/g)\/g)*g\/((g\/(g\/g**5))\/g) assuming g is positive.\nAnswer: g**(-178\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1515173863 to the nearest integer?\nAnswer: 38925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 6555.\nAnswer: 13110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22064 (base 7) in base 12?\nAnswer: 3252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8194.04 + -8340. Let u = l + 132.9636. Let y = 13 + u. Round y to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62.6 + -63.1. What is the nearest to -1 in 5, -15\/4, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 6*m**2 - 6*m + 2. What is the least common multiple of 72 and f(7)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-984)\/(-9))\/4*3. Suppose 0 = 3*u - 2*z - 61, 0 = 2*u + 2*u - 3*z - m. Calculate the remainder when 73 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-997 - 454 - 815)*(5 - 3 - 4)*(-k**4 + k**4 + 3*k**4) + k + 4*k**4 - 4*k**4 + k**4 as o*k**3 + m*k**2 + i*k**4 + z + n*k and give i.\nAnswer: 13597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4556 - 2299 - 2257 - 8*d**3.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 275. Let n(m) = 3*m + 330. Let b(c) = -5*n(c) - 6*z(c). Let f(q) = -62*q**2 + 4*q. Determine f(b(l)).\nAnswer: -558*l**2 - 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 6) in base 7?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 81\/(-6) - (-6)\/4. Is -13 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.61028 litres in millilitres?\nAnswer: 95610.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -2. Let s be (r\/(-6) + -3)*-1. Let l = 5527\/17 + -325. Sort l, s, -5\/2 in decreasing order.\nAnswer: s, l, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -347 + -17?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29559.99 millennia?\nAnswer: 354719880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000010111101 (base 2) in base 15?\nAnswer: -7510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -336 - 32*t**2 + 94*t**2 - 29*t**2 - 32*t**2 - 2*t**3 in the form h*t + f + q*t**2 + v*t**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -52*h**2 - 20*h + 6. Let l(b) = 18*b**2 + 7*b - 2. Give -17*l(x) - 6*o(x).\nAnswer: 6*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1747\/7 + -249. Which is smaller: 13\/4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 5:23 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 51*z**2 + 963*z - 121748. What is x(65)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93\/((-10137)\/6649) - -69.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.582 - -0.582. Which is the second biggest value? (a) -5.74 (b) -1\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-18)*7\/14\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/11, 130\/33, -2, -48?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 653*j**3 - 1312*j**2 + 1312*j**2.\nAnswer: 653*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -111*d**4\/8 + 5*d**3\/6 - d**2 - 52. What is the units digit of k(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 8 = -7*w. Solve w*m + 4*v - 9*v - 15 = 0, m - v - 4 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(280\/(-42)))\/((-1)\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 5*p + 7. Let j be g(-3). Is j at least as big as -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19792, 158199, 533782, 1265101, 2470716?\nAnswer: 4269187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5\/3)\/(x**(1\/13)\/x) assuming x is positive.\nAnswer: x**(-29\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 20*f - 138 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**3\/3 + 11*i. Let v(q) = -32*q. Give v(r(w)).\nAnswer: -64*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6667*q + 40015. Give a(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 24. Let y(f) be the second derivative of -f**2 + 1\/6*f**r + 0 + 2*f. Differentiate y(h) with respect to h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 3) + (32 - -1) + (-24 - (10 - 29))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/462141 and 109\/30?\nAnswer: 4621410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 109, 2, 1 in increasing order.\nAnswer: 1, 2, 7, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -31, -3, -2\/11, 1\/3, -5, -0.03?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(192) + sqrt(28))\/sqrt(4).\nAnswer: 9*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0\/m*m**(-5)\/m)\/(m\/(m*m**(-2\/25)*m)*m\/m**(-2\/3)))\/((m**1*m)**14)**(-48) assuming m is positive.\nAnswer: m**(100219\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15320644147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38 * -15035.\nAnswer: -571330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -48327105, -48327106, -48327107?\n\"Answer: -q - 48327104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**3\/2 - 511*j**2 + 259065*j\/2 + 526338 = 0.\nAnswer: -4, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 = 2*w + s, 5*w = -s + 194 + 285. Calculate the greatest common divisor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 9*w**2 - 18*w - 24. Let b be h(-12). Let r = b + 260. Calculate the remainder when 35 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, h: 2, y: 4, g: 4, v: 1}. What is prob of picking 2 g and 1 v?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 h, and 1 d when three letters picked without replacement from oorchudc?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*g - 610 = 7*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 17. Sort -4, -3, h in descending order.\nAnswer: h, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 430.88204 + 1095584455.11796. Let l = -1095585064.9999636 + u. Let i = 179 + l. What is i rounded to six decimal places?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/5, -5, 195 in descending order.\nAnswer: 195, 3, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(324)*-1)\/(sqrt(10)\/(sqrt(10)\/sqrt(2)) + sqrt(128)*2).\nAnswer: 27*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (64 + (24 - 40)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22686 + 13099. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 816270 divided by 1794.\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4429550 divided by 885910.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 5*a + 10. Let d be q(-7). Let j(v) = v**3 + 2*v**2 - 7*v - 5. Give j(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-59 + 59 + 21*a**2)*(a + 3*a - 2*a) + (-3*a**2 + 4*a**2 - 4*a**2)*(15*a + 85 - 85) to the form n + o*a**2 + h*a**3 + m*a and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 1. Let c(f) = -20*f - 25. Let h be ((-50)\/(-4))\/(1\/2). Determine h*j(u) + c(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4882.000009495 - 4882. What is k rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*c + 2*q - 14200006, 21299997 = -3*c - q. Round c to the nearest 100000.\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125050619 not equal to 125050619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162738908 to the nearest integer?\nAnswer: 12757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmlv when four letters picked without replacement from macvpml?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from {b: 1, y: 1, s: 1, p: 2, m: 1, f: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**5\/5 + 7*o**4\/4 + 19*o**2\/2 + 5*o + 7. Find the first derivative of i(z) wrt z.\nAnswer: 12*z**2 + 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 + 0*w**4 + w**4 + ((-2 + 3 + 2)*(-2 + 0 + 4) - 2 + 0 - 5)*(2*w**4 + w**3 - w**3).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 31. Let m = 36 - w. What is the common denominator of 40\/13 and (-2 - -4)\/m - 110\/(-33)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -81357.61 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -1, -10, -2 in ascending order.\nAnswer: -10, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w - 0. Let p = -15 - -15. Which is the third smallest value? (a) p (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h. Let r(j) = -3*j + 48. Determine k(r(f)).\nAnswer: 6*f - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -1.9.\nAnswer: -9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 749.6 + 123.4. Let r = 843.82 - k. Let g = r + 30. What is g rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/5196000 and -91\/100.\nAnswer: 5196000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7509239 or -7509240?\nAnswer: -7509239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154750 and 6267375?\nAnswer: 12534750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*a = 5*s - 248*a + 127*a + 388, 4*s - 5*a = -293 for s.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0 = 3*o - 28, -2*j + 14 = 4*o. Which is bigger: o or -5\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhuhhhhhhuhhhuhhhhhh. What is prob of picking 1 h and 1 u?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*sqrt(1584) + sqrt(1584))**2 + (4*(-2*sqrt(11) + 4))**2)*5 + -3.\nAnswer: -1280*sqrt(11) + 76067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4240964*p**3 - 6783250*p**2.\nAnswer: -25445784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-5)*-121 + 3\/5 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3604 + -3586. Solve -5 = -3*f - h - w, 2*f - 3*h + 5 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28, 18, -16, -86, -204, -382?\n\"Answer: -2*r**3 + 4*r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56377, -112777, -169223, -225739, -282349, -339077, -395947?\nAnswer: -452983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6*q - 7 = 5*c, -2*c - 5 = -q. Let a = q - -5. Suppose -5*u - a*s = -s - 260, 148 = 3*u - 5*s. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(700) + sqrt(700))**2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43603 + -30096. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 - 4*f**5 + 2*f**5 + 0*f**4 + 2*f**5 + 0*f**4 + (4*f - 4*f + 3*f**5)*(-1 + 6 - 3).\nAnswer: 9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 6. Let a = j + -8. Does 5 divide 8\/28 - 68\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 321\/738*-4 - (-20)\/12. Let v = q + -679\/246. What is the common denominator of v and -7\/38?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**3 - j**2 + j - 1. Let t be d(1). Let f(y) = 3*y**2 - 2*y - 1. Is 7 a factor of f(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 6*z**2 + 30*z - 13. Determine l(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111100101011001110 - -101101?\nAnswer: -101111100101010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0157 - -0.1843. Is -360 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 10435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 m, 1 a, and 1 u when four letters picked without replacement from {x: 2, u: 1, k: 3, m: 7, z: 1, a: 3}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p = 3 - 83. Solve -p*c = -2*z + 4, 5*z + 0*z = -2*c - 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4035)\/(-538)*(-11)\/2*16\/(-20)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*f - 34240000 = -76*f. Round f to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.23 - 0.07. Let v(k) = 10 + 4*k**3 + 6*k**2 - 10*k**2 - 16 + 9. Let s be v(-1). Which is the closest to 0.01? (a) -1 (b) s (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**3 + 4*f**2 - 4*f - 4. Let d = -1295 - -1294. Let b(i) = -i**3 - i**2 + 4 - 3 - i**3 + i**3 + i. What is d*a(c) - 4*b(c)?\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2116*j - 2115*j + 5485*j + 11220*j.\nAnswer: 12474*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/5))**(-7\/8))**20 assuming f is positive.\nAnswer: f**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (3 + 0 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 divided by -3?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 666019891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1226544 (base 7) to base 16\nAnswer: 26ac0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 461 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/8 + 2\/(-16). What is the nearest to -2 in 5, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4\/3 - 8*f**3 - 40*f**2 + 1600*f\/3 = 0.\nAnswer: -8, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -592, 5, 0.04, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 137*z + 93. Let g(p) = 92*p + 59. What is -8*g(i) + 5*n(i)?\nAnswer: -51*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 5*b + 10, -530*q + 543*q + 2*b = -48 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -4, 484 in descending order.\nAnswer: 484, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 434*b + 433*b + 2254 = 0, 3381 = 3*j - 5*b. Calculate the greatest common factor of 207 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**5\/r)\/r)\/(r*r**20\/r))\/(r*r**(-11\/3)*r*r*r**(2\/3)))**(1\/33) assuming r is positive.\nAnswer: r**(-17\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1262 and 730.\nAnswer: 460630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 36*g - 33. Let t be r(1). Find the third derivative of 31*s**2 - 29*s**2 - 29*s + 102*s**3 - 15*s**3 + 98*s**t wrt s.\nAnswer: 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190aa2 (base 12) to base 9.\nAnswer: 735425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18536439, 37072852, 55609253, 74145636, 92681995, 111218324, 129754617, 148290868?\n\"Answer: -c**3 + 18536420*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 6:21 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -359\/22 - -33\/2. Which is the nearest to -1? (a) 1.1 (b) i (c) -8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -29*k**6\/360 + 5*k**4\/6 - 6*k**3 - 17. Let h(d) be the third derivative of a(d). What is the derivative of h(p) wrt p?\nAnswer: -58*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-5 + (sqrt(468) - 1*sqrt(468))) - (5*sqrt(130)*-1)\/((sqrt(10) - sqrt(40))*-1))*-1)**2.\nAnswer: -200*sqrt(13) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 q, and 1 i when three letters picked without replacement from {p: 5, i: 1, j: 8, d: 2, e: 3, q: 1}?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 2)*(3*v**2 + 2*v**2 - 2*v**2) - 132*v + 132*v + 29*v**2 to a + s*v**2 + g*v and give s.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 0*s - 5*s + 7*s. Let i(z) = 4*z. What is i(n(k))?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**3 - 423*l**2 + 3278*l + 266760 = 0.\nAnswer: -20, 38, 351\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 34729 - 32064 = -3*r, 4*r - 3*v - 89072 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -893 (b) 0 (c) 6 (d) -272 (e) -5 (f) 8\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 37 + -31 + 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**3 + 21*x**2 - 18*x + 3. Let z(v) = 6*v**3 - 40*v**2 + 36*v - 5. Let r = -158 - -161. Let c(m) = r*z(m) + 5*k(m). Solve c(i) = 0 for i.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -64370628.\nAnswer: -1\/32185314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -512, 0, -1, 11.\nAnswer: -512, -1, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 232696 or 232694?\nAnswer: 232694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 863037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 61, 109, 135, 127, 73, -39?\n\"Answer: -2*f**3 + f**2 + 59*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/(-54)*(10\/(-9))\/(4\/(-6))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**3 + 1 + 9*q**3 + 11129*q - 11128*q to the form r*q**3 + c*q + x*q**2 + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1595091373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -13?\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23795 is divided by 641?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 6:39 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -315330212 + 0.2\nAnswer: -315330211.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 111.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 + 48 = -2*g - 53 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from aaac?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1721240848 rounded to 5 dps?\nAnswer: -0.17212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 576?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -515.2 + 459. Round c to the nearest integer.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1991 = -9*u + 2099 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*g**2 + 8*g - 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 a when four letters picked without replacement from uaaaauaaaua?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 113.6 + -4009.47.\nAnswer: -3895.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (1 - -3)) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - 25 - -126) + -109?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 24889506?\nAnswer: 2488950b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 1.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 - 111 = 49*p - 189 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-840)\/640)\/(21\/462*-11).\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5*s - 4*b = 14, -s = -3*b - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 5*i - 5*h, 5*i + 0*h - 326 = 2*h. Let f(y) = y**2 + 5*y - 2. Let b be f(-6). Suppose b*j - j = i. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1682*k**2 - 188*k - 2.\nAnswer: 3364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3593, 482, -2629, -5740, -8851?\nAnswer: -11962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a + 10*a = -54. Suppose 6\/5*w**4 + 4\/5*w - 14\/5*w**2 + 4\/5*w**a + 0 = 0. What is w?\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v. Suppose -9*d = -2*d. Let z(i) = d*i - 3*i + 2*i. Give z(f(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*l**3 - l - 214*l**3 - 7*l**3 + (0*l + l - 2*l)*(l**2 + 1 - 1) + 2*l**3 - 2*l**3 + 3*l**3 to o*l + c*l**2 + j*l**3 + r and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -20.0000021. What is h rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 316 + -2515\/8. Let z = -1281 - -11498\/9. What is the common denominator of z and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 8*b - 1. Let s be c(8). Let z(f) = 5*f**2 - 5*f + 30. Let q(g) = 1. Let w(p) = s*z(p) + 30*q(p). Find the second derivative of w(v) wrt v.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -23 - 21. Let o = -11 + u. Let b = 9 + o. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*y**2 + 17*y**2 - y - 23 - 20 - 55*y**3 + 43 to the form h*y**2 + u*y + k*y**3 + p and give h.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 731798405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + (sqrt(117) - (3 + sqrt(117))*-2 - (sqrt(117)*2 + -2)) + -4)**2.\nAnswer: -472 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 4. Let b = 9831 - 9859. Is t bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 1)*(1 - 1 + n**3) + 6*n**3 - 5*n**2 + 5*n**2 + 3*n**3 + 0*n**3 - 2*n**3.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -27940630722 and 10.\nAnswer: -27940630712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/(0 - (-4)\/(-28)) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*m + 2*m. Suppose z - 15 = -m*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*m - 14*m + 43*m.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 910 - 907. Solve 4*v = -5*d - 15, d + n + 0 = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 36 + 19*p**2 - 8 - 13*p**2 - 13 - p**2.\nAnswer: 5*p**2 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*r - 21 = -6*o, 0 = -3*o + 3*r. Suppose -o*d - 130 + 166 = 0. Solve 0 = 3*q - 4*i - d, 7*q - 20 = 2*q + i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*h - 4, -4*n = 4*h + n - 8. Let r = 9 + h. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415245976 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21813 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: How many minutes are there between 3:57 AM and 10:03 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qquq when four letters picked without replacement from {u: 2, q: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence big when three letters picked without replacement from {j: 1, l: 1, h: 2, i: 4, b: 2, g: 4}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6928000 divided by 433000?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/4 in -2\/5, -3, 152, -0.1, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(15\/4))\/h*h**13 assuming h is positive.\nAnswer: h**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 2. Let t(i) = -2*i + 1. Let r be t(w). Let p be 6\/(-4)*(-20)\/15. Solve -p*y = -r*y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4046*w - 26 + 3*w**3 + 4047*w + 5 - 25 as j*w**2 + n*w + p + r*w**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 + 17*h**2 + 8*h - 1. Let x be z(-8). Let l(n) = 20*n**2 + n. Determine l(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-894)\/((-10)\/8 + (-7)\/28). Suppose q = -3*v + 7*v - 484, -5*v - q + s = 0. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 583*t = 519*t + 11648. What is the greatest common divisor of 1378 and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72.8*8.9.\nAnswer: -647.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 3*g + 30, 5*r - 6*r - 4*g = 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11666 + 20735. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.9153 to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 11*t**2 - 7*t + 33. What is k(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(-3 + 3 + y) + (3*y - 2*y + 0*y)*(15 + 12 + 2)*(0 - 3 + 1).\nAnswer: -59*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13240423 (base 5) to base 7.\nAnswer: 1065162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -157 + 170. Suppose 0 = -28*v + 6338 + 9314. What is the highest common factor of v and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1590 - 154\nAnswer: 1436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**5 + 9*m**4 - 33*m**3 - 45*m**2 + 138*m - 72 = 0. Calculate m.\nAnswer: -4, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*c + 198*c = 5806557. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81904 is divided by 20329.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -46, 6, 56, 104, 150?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79823 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 5*a - 50. Calculate the least common multiple of a and 69.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -114 (c) 2\/3 (d) 2\/7 (e) -4 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3 + 2996*l**2 - 56322*l + 177480 = 0. What is l?\nAnswer: 4, 15, 1479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 561275.9 decades to millennia.\nAnswer: 5612.759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54\/(-10) + -4 - ((-714)\/68 - (-6)\/4). Suppose 2*p - 12 = 5*p. What is the closest to m in -0.2, 50, p, 4\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + 13. Suppose -2*j = -3*f - 99 + 27, m = 2*j + 4*f. Suppose 3*d - 2*n - 42 = 0, 2*d - 27 = -d - 3*n. What is the greatest common factor of d and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-1919)\/570)\/(-101)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/17891 and -21\/17891.\nAnswer: 17891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g. Suppose -3*o - o = 0. Let f = o + 3. Let n(a) = -a**2 + f*a**2 + 0*a**2. What is n(i(r))?\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l**3 + 10*l**3 + 20*l**3 + 3*l**3.\nAnswer: 19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -33 - -20 - (-4 - (0 + 21))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, s: 3, l: 3, y: 2, x: 1}. Give prob of picking 1 s and 1 p.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -19*n**8\/84 + n**6\/40 + 2*n**5\/15 - 5*n**3\/6 - 212*n**2. Find the third derivative of j(t) wrt t.\nAnswer: -4560*t**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3936884 and 984221.\nAnswer: 3936884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-3121) - 134\/(-2).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1173850?\nAnswer: 2, 5, 17, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 223330012 (base 4) to base 2\nAnswer: 101011111100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 + -28. Let i = -18 - -10. Is i\/h - (-746)\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (6 + -3) - -2 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24012223 + 239?\nAnswer: -24011984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4141 + 4141 - 50*c**2.\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 170 = 2*w + 3*u, 267 = -3*w - 3*u. Let n = w - -168. Suppose -2530 = -5*v + n. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5)*z)**(-1))**(-2\/7) assuming z is positive.\nAnswer: z**(6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3288335 or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3810)\/1905)\/((-10)\/(-84)*(-7)\/35)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10143, 20276, 30409?\nAnswer: 40542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 52086?\nAnswer: -1\/52086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 358 = -359. What is the hundreds digit of (13 + -6 - 8)\/(f\/197)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*n - 88 = 158*n. Suppose 0*g = g + 1. Let m be (g - 1 - -2)*-1. Solve 4*r - n = -m*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1400 and 98?\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 224228110 and -1347.01?\nAnswer: 224229457.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i + 32. Let c(h) = -h - 3. Let v(l) = 3*c(l) - y(l). Calculate v(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12434681 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*g - 121 + 43, 2*g = 4*z - 160. Let w = z - -21. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12718140.\nAnswer: 2, 3, 5, 211969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 5*q + 4. Suppose -4*v + 3*g + 156 = 0, v - 28 = -0*v - 2*g. Let l = v + -41. What is i(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79865593 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 + 0*w**3 - 5*w**3 + (-w**2 - 4*w + 4*w)*(4*w + w - 2*w) + w**2 + 2*w**3 - w**2 + 2*w**3 - w**3 - 3*w**3.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*s - 36 + 126 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 - 2*m**2 - 2*m - 2. Let z(r) = r**3 - r**2 - 2*r - 1. Let b(s) = -2*g(s) + 3*z(s). Calculate b(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5044\/(-1746))\/((-10)\/(-9))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 1 + 1)*(-11*p**2 + p**4 + 13*p**2 - 3*p**2) - 339*p**5 + 193*p**5 - 126*p**5.\nAnswer: -271*p**5 - p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 59034?\nAnswer: -29517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z - 2*o + 17 = -21*z, 4*z - 4*o = -4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02803 and 0.44.\nAnswer: -0.0123332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*a - h, -4*a + 8733*h + 4 = 8735*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4090, 8285, 12470, 16639, 20786, 24905, 28990?\n\"Answer: -f**3 + f**2 + 4199*f - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*b + 16*b - 4*b)*(2 - 4 - 2)*(3 + 0 - 5) as s*b + q and give s.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (65\/10 + -9)*4\/(-15). Let o(s) be the second derivative of 0 - 3\/2*s**2 - 3*s - z*s**3. Differentiate o(k) with respect to k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15225979.\nAnswer: 47, 323957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83982 + -83966. Let v = 10 + -5. Solve v*g - w = 9 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, g: 1, q: 2, x: 1}. Give prob of picking 2 n and 1 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)\/k**(-9))**(6\/31) assuming k is positive.\nAnswer: k**(48\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 136, -5, 0, 2, 12, -17 in decreasing order.\nAnswer: 136, 12, 2, 1, 0, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28641 - -41007. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.01 and 5.5.\nAnswer: 5.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126 by 16.\nAnswer: -63\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**5 - 801*d**4 - 53061*d**3 + 54669*d**2 + 53064*d - 53868 = 0.\nAnswer: -134, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 8*a**3 + 3*a**2 + 5*a - 7. Let v(b) = 9*b**2 + 1. Let p be v(1). Suppose 2*n + 4 - p = 0. Is t(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -603*l + 2 - 725*l + 50*l - 16*l - 3 to j + h*l and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 37 = 24*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -108763\nAnswer: -5\/108763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -29\/11*d**3 + 30\/11 - 31\/11*d**2 + 1\/11*d**4 + 29\/11*d = 0. What is d?\nAnswer: -1, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10826058 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 32*b - 582 + 3326 = 16*b for b.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -14*y**2 - 71*y - 58. Let z be s(-4). Solve -3*p - 112 = 2*b - 118, -z*b + 4*p = 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481198 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 9*q**2 - 40*q + 340. List the prime factors of z(-60).\nAnswer: 2, 5, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -5 - ((6 - -4) + -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247 + 4*h**3 + 123 + 124.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3.6. Let t = g + 1. Let r = -96\/5 - -19. Which is the nearest to -1? (a) 2 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/2 (b) -1 (c) 2\/3 (d) -0.22 (e) 202 (f) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + (-222)\/(-28) - (11 + -7) and 67\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-7 - (3 - (-3 + 4))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-42))\/((-1)\/(-2))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w - 647 - 653 = 0. What are the prime factors of 2559\/5 - (-10)\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3\/8)*b*b**(-3\/2)*b*b*b)**(-24) assuming b is positive.\nAnswer: b**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 + 2*s**4 - 5*s**4 + (-2*s**4 + s**4 - s**4)*(-2 + 3 - 2) + (0*s + 2*s - s)*(-5*s**3 + 5*s**3 + s**3) + (-4*s + s - s)*(-2*s + 2*s - 5*s**3).\nAnswer: 22*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34665.000057252 + -34665. Round v to 7 decimal places.\nAnswer: 0.0000573","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199925534 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 192208.5805 rounded to the nearest one thousand?\nAnswer: 192000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044178334 less than -12.8?\nAnswer: -1044178346.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 22\/103691 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5195 + 7595. Is b a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453*s - 70 = -418*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**4 - 26*i**4 - 30*i**4 + (-2 + 3*i**2 + 2)*(-i**2 - 2 + 2) + i**4 + 3*i**4 - 5*i**4 + (2*i - 2*i + 2*i)*(-4*i**3 + 0*i**3 + 2*i**3).\nAnswer: -61*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 36 = 2*l - 2*a, l - 19 = -3*a. Suppose 0 = 38*s - 39*s + l. What is the greatest common divisor of s and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, m: 7, q: 4, d: 2, w: 4}. Give prob of picking 1 z, 1 m, and 1 d.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 152587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4))**45*(f**(-1\/3))**(-5\/7)*f*f**2*f*f\/(f\/(f**(3\/4)*f)*f)*f**(-3)\/((f**(1\/4)*f*f)\/f) assuming f is positive.\nAnswer: f**(1007\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9 - 7.066598?\nAnswer: -3.166598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, -2, 3\/5, 300, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -61*q + 1. Let u be i(-2). Let v be (36\/(-27))\/(2\/u). Let x = 47 - v. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/38)\/((-6)\/14*(-1050)\/(-300))*-2?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20612 - -21116. Solve 72*d + 12*d = -c for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 287\/(-164)*44\/(-3346). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**2 + 11*g - 98*g - 6*g**2 - 5*g**2.\nAnswer: -2*g**2 - 87*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from laksssvvsskvssvfssvv. Give prob of sequence fva.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -0.9, 0.09 in increasing order.\nAnswer: -0.9, 0.09, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 168\/(-245) + 1*4\/14. Let p = 0.41 - 0.01. What is the smallest value in b, p, 4\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 1, t: 1, y: 1, n: 1}. What is prob of picking 1 t and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404743247161 less than 0.045?\nAnswer: -1404743247160.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -315 + 319. Find the third derivative of 2*j - 5*j**d + 4*j**4 + 613*j**2 - 623*j**2 wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-3)*((-253)\/143 - -2)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3 = 3*v - 5, -3*v - 3*s = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 41*s = 25272. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16317 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + (sqrt(931) - -1*sqrt(931)*-1))**2 + (sqrt(931) - (-5 + sqrt(931) + 2 + sqrt(931))).\nAnswer: -7*sqrt(19) + 934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*p + 20*p - 43*p - 14*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16321 + 5245?\nAnswer: -11054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 + 104 = 7*z. Let l be 0\/(5\/(-25) - z\/10). Solve l = -3*o - o + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41067 and 40898?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 1022?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 + 27 = 13*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 0*t + 5*t**2 + t + 1 + 13*t**3 - 3*t**2. Let d be g(-1). Let s = -5 - d. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -729, -725, -719, -711, -701, -689?\n\"Answer: u**2 + u - 731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -686*j - 85. Is f(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = a - h + 6*h, 3 = -h. Suppose 3*u + a = 10*u. Let k(z) = 6*z**2 - z + 1. Does 3 divide k(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 100 = -o. Suppose -3*n - o = -8*n. Put n, 0, -0.1 in decreasing order.\nAnswer: n, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-231 - 4 - 181 + 58)*(t**3 - t**3 + 2*t**5).\nAnswer: -716*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 5*q - q)*(-q**4 - 5*q**3 + 5*q**3) - 2*q**5 - 4*q**3 + 4*q**3 + q**2 - q**2 - 2*q**5 + 3*q**5 - 4*q**5 - 5*q**5 + 2*q**5 - 5*q**5 + 2*q**5.\nAnswer: -12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*o - 2 = 60*o - d, -o + 3 = -d. Which is the closest to -2? (a) o (b) 0 (c) 285\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305822 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 - -133. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -37*g**3 + 4. Let w(p) = 112*p**3 - 11. Calculate -11*n(d) - 4*w(d).\nAnswer: -41*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 22407.\nAnswer: -5\/22407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10223 (base 4) to base 10\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 + -57. What are the prime factors of (u + -9)*(0 - 76\/6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 1 = -7*l. Let o = l - 3. Which is smaller: -4 or o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -2\/560575763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 944647 is divided by 503.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*v, -4*v + 0*v - 179 = 5*z. Is z greater than or equal to -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10096, -1, 0 in decreasing order.\nAnswer: 10096, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 71338316891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**3\/6 - 68*c. Let n(a) = 11*a - 32*a + 7*a. Determine o(n(j)).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2107952 and 37943136.\nAnswer: 37943136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -9.72. Round v to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 255648 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5519 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from {i: 3, r: 1, o: 16}.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12044 + 22193. What are the prime factors of j?\nAnswer: 3, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 36*j**2 - 2538*j - 99332. Calculate t(-38).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 1. Let g(u) = -11*u - 49. Let k(n) = g(n) + 2*t(n). Calculate the least common multiple of k(-7) and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6615741.\nAnswer: 3, 11, 29, 31, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/6*-1*52\/195?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11572 - 11568. Solve 0*t + 9 = -s*w - 5*t, -2*w + 28 = -4*t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 5*y - 3*f, 0*y - y + 15 = -3*f. Let h = 26 - y. Solve -5*n**2 - 2*n**2 - 9*n + n + 9*n**h = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*s - 23 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1001 or 993?\nAnswer: 1001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/((-12)\/5) - -1. Let g = 62 - 50. Let w be 3*g\/(-9)*(-2)\/68. Which is the second smallest value? (a) k (b) 0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20\/2664371 or -1\/3?\nAnswer: -20\/2664371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 5*k - 556. Suppose 0 = k*m - 105*m + 280. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 19 = -5*j, 2129*n + 26 = -4*j + 2134*n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 81915.\nAnswer: -2\/81915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3384643.3 - 16.\nAnswer: -3384659.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2292)\/(-16))\/(12\/64)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.21 - 1728.\nAnswer: -1726.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2233067 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, h: 4}. What is prob of picking 1 h and 2 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*i**3*t + 1500289*i**3 - 63*i*t + 24*i + 32*t wrt i?\nAnswer: 42*i*t + 9001734*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 4:39 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2055 + 2067. What is the highest common divisor of v and 2364?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1803368*p**3*v**2 + 939637*p**3*v + p**3 + p*v**2 + 3*v wrt v.\nAnswer: -3606736*p**3 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 1:00 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oou when three letters picked without replacement from mmuiomuurpuoropuuo?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101010 (base 2) in base 11?\nAnswer: -2aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 9 - 12 + y)*(3*y - 25*y**4 - 31*y**4 - 3*y).\nAnswer: -56*y**5 - 224*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/2*(6 - 7). Let h = g - -14. Suppose 4*p = h - 7. Calculate the smallest common multiple of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.145893 centuries in decades?\nAnswer: 61.45893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 1214244.56?\nAnswer: 1214244.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - m - 3*m)*(4*m**2 + 3*m**2 - 6*m**2 + 3*m**2 - m**2 - 4*m**2 + (-m**2 + 2 - 2)*(-4 + 3 + 2) + 0*m**2 + 3*m**2 - 4*m**2).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13854.\nAnswer: 2, 3, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 5*r + 20, -2*u + 2*r + 12 = 4. Suppose -6*b - 213 + 4287 = u. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a03 + 0?\nAnswer: -2a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18 + 129.45.\nAnswer: 129.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -24961*z - 74858. Determine h(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i + 4 = -o, -2*o + 12 = -i. What is the remainder when 29 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + 0 - -51)\/((-6)\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p - 36*p**2 + 29*p**2 - 6*p in the form n + q*p**2 + z*p and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 243\/646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66494415265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4 = 3*f. Suppose f*d - 15 = 1. Suppose 2*q + 4*n - 49 = -3*q, d = -2*n. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**5\/(o*(o\/((((o**(-4)\/o*o)\/o)\/o)\/o))\/o)*(o\/o**6)\/o**(-3\/4)*((o\/(o*o**1))\/o)**(7\/11)\/(o\/o**0*o**(1\/2)) assuming o is positive.\nAnswer: o**(-441\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/32387 and -23\/10252.\nAnswer: 1425028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-3\/14)\/j*j**(2\/9))\/(((j\/(j\/(j*j**7*j)))\/j)\/((j*j*j**(-1\/6))\/j)))**(-1\/28))**(-43) assuming j is positive.\nAnswer: j**(-19393\/1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 492750173 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1449251.91639586 + -1374.68263414. Let p = g + 1450636. Let u = -9.4 + p. Round u to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4681975 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-18))\/(-104 + (-877947)\/(-8442))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.5?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -7. Let p = -349\/528 + -1\/176. What is the nearest to -22 in p, i, -3\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, b: 4, d: 3}. Give prob of sequence ddbn.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17942442?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by -3\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -415, 177, 1305, 2969, 5169, 7905, 11177?\n\"Answer: 268*r**2 - 212*r - 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 409 - 5315\/13. What is the nearest to -2 in -3, b, 22?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -27\/10, -0.01, -2\/21, -5, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-60))\/(67\/(123615\/328))?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 68*t - 228. Let u be l(5). What is the greatest common divisor of 42 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 times 4?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (-2)\/16*-34. Which is greater: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -426206, -426177, -426154, -426143, -426150, -426181, -426242, -426339?\nAnswer: -426478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 69*p = 74*p - 30511, -3*h = 2*p - 45761. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 2. Let c(z) = -2*z - 1. Let w(t) = -4*c(t) - 3*f(t). Let j(s) = 81*s - 33. What is 2*j(h) - 33*w(h)?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -161\/48788 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1060 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -18 - 126.17662\nAnswer: -144.17662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3)*3 - -3. Let z(h) = 2*h - h + n + 2*h. Let q be (4\/5)\/((-4)\/(-10)). Calculate z(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2. Let x(h) be the second derivative of 42*h + 19\/3*h**4 + 0*h**3 + 0 + 0*h**2. Determine x(y(f)).\nAnswer: 304*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/2 of a week?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 + -365167103.\nAnswer: -365167026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5735420 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.26 + -6.14. Let u = 6 + f. Let v be 35\/168 - (-1)\/(-3). Which is the third biggest value? (a) v (b) 0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/3)*f*((f\/(((f*f**(-3))\/f)\/f))\/f)\/f)\/(f*(f**1*f)\/f)**(-41)*(f*f**(3\/2)*f**(-1\/4))**(6\/5) assuming f is positive.\nAnswer: f**(2681\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/31 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5394, -5392, -5390, -5388?\n\"Answer: 2*g - 5396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(3 - (-31)\/(-3)). What are the prime factors of l - (2 + -10 - -4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74597 is divided by 14919.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**4 - 644*v**3 + 746*v**2?\nAnswer: 24*v - 3864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/22)\/((-16)\/(-32))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g - 16*g + 14*g**2 + 21*g**2 + 0*g.\nAnswer: 35*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 7)*(4 - 19*d**2 - 3 - 5*d**2).\nAnswer: 120*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -346352 (base 9) to base 14\nAnswer: -55b71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -116. Suppose -d + r - 22 = 0. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 36 = -5*a, -30*a + 31*a + 4*f = -8. What is the lowest common multiple of 1004 and a?\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 112*w**2 + 17*w - 111. What is the thousands digit of b(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 122 - 140 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(204))\/(sqrt(972) + -1*sqrt(972) + sqrt(972) + sqrt(972)))**2.\nAnswer: 17\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -764 * -6\nAnswer: 4584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x - 19. Let r be y(12). Let b = -39 + r. Solve -20 = 2*f + b*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78694*h**3 + 78702*h**3 - 157397*h**3 - 126*h**2 - 3*h.\nAnswer: -h**3 - 126*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + -3. Let q = x + 9. Put q, -1, 2 in decreasing order.\nAnswer: 2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4e6 (base 15) to base 2.\nAnswer: -10001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20437 - -20467. Calculate the remainder when 938 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/877 and ((-136)\/(-72))\/(1 + (-25)\/15).\nAnswer: 5262","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8\/179 + -10529\/716. Suppose -4*b + 8 = 2*y, 6*y - 13 = 2*y - 5*b. Find the common denominator of j and 250\/12 + y - -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39859 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1131 and 52862853.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -865, -855, -835, -805?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.4, -1, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - -16 - (-1 + -2 + (3 - -1))) + -8?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**4\/15 - 18*t**3\/5 + 48*t**2\/5 - 34*t\/15 - 4 = 0.\nAnswer: -1\/2, 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -7, 1\/3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-7 + 5)*1. Suppose 4*h + 19 - 79 = 0. Solve 3 = -w*r + h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03127 to three decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343 = 65*u - 16*u - 342 - 981 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 + 149. What is the highest common factor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 276021769*b**4 + 2795652*b + 7 wrt b.\nAnswer: 3312261228*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = -4*g + 2770, 7*s + 3*g = 9*s - 526. What is the greatest common divisor of 127 and s?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -490, -487, -472, -439, -382, -295, -172?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/450000 and -107\/180?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7083 - 7083 - t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 12. Suppose 2*w - 4*w = -u - n, 5*u = -25. Suppose k - 5*o = -25, -o - w - 9 = 3*k. What is the second smallest value in -0.5, -2, 0.3, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5818, 11700, 17576, 23446, 29310, 35168?\nAnswer: 41020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 423 - 2?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/((g*g**9*g*g*g)\/g*g)*g**(-1\/7)\/g*g*g*g\/(g\/g**(2\/19))*g*g\/g**(-9) assuming g is positive.\nAnswer: g**(128\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -4 + (9 - (2 + -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33913 divided by 11?\nAnswer: 3083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118895 and 123195?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byykwbyybbbbhbbybhy. Give prob of sequence wk.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**6\/105 - h**5\/35 - 10*h**4\/21 - 8*h**3\/7 - 18*h + 4. Suppose k(x) = 0. Calculate x.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, x: 1, i: 3, r: 5}. Give prob of sequence iri.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 5 (c) -1 (d) 43 (e) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 15*y**5 + 1010*y**4 - 706840*y**3 + 45573150*y**2 + 15269625*y = 0.\nAnswer: -277, -1\/3, 0, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 5*k + 30 = -2*q, -q - 5*k + 18 = 0. Let t be (3 + q + -1)\/1. Find the third derivative of -2*u**2 + 3*u**2 - 2*u**2 + 2*u**t wrt u.\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**3 - 52*h - 2 - h**2 + 2*h**3 + 50*h as j*h**3 + m*h + t + s*h**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-7))\/((-3)\/14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**2 - 206*d - 5511. Determine c(-27).\nAnswer: -2136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 3)*(3 - 2*z - 3) - 4*z + 3*z + 0*z - 12*z + z - z)*(2*z**3 + 7 - 7).\nAnswer: -34*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h**3 + 12*h**2 - 4*h - 209. Let z(c) = 3*c**2 - c + 2. Determine -r(p) + 4*z(p).\nAnswer: 8*p**3 + 217","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g + 169. Let b be x(29). Let k = b - 154. Calculate the remainder when k is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 449.3 - 57.3. Let v = -415 + n. Which is the second smallest value? (a) -1\/3 (b) -4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0184 - 0.4184. Which is the second biggest value? (a) -7 (b) r (c) -0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 44226216, 44226214, 44226212, 44226210?\n\"Answer: -2*j + 44226218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**2 - 3*b + 5. Let r(k) = -6*k**2 + 2*k - 4. Let n(s) = -4*r(s) - 3*v(s). Calculate the remainder when n(-1) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/(-5))\/((-2)\/35*7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-7) + (9045\/42)\/1. Let x = -215 + g. Suppose 0*u + 1\/4*u**5 - 1\/2*u**4 + 0 - 1\/4*u**3 + x*u**2 = 0. Calculate u.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*r - 24 = 0, 2*r + 18 = 10. Solve 2*u - 4 = -2*u, d = -5*u + c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -5 (c) 0.14 (d) 44350\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 1 = -m + 3, -12 = -3*m - 5*u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*w**4)*(10 + 2 - 14 + 8*w).\nAnswer: 24*w**5 - 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 20*m**2 + 0 - 1\/112*m**8 - 1\/10*m**6 + 0*m + 5\/8*m**4 + 1\/10*m**5 + m**3 - 2\/35*m**7. Factor h(v).\nAnswer: -3*(v - 1)*(v + 1)**3*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -384, -383, -380, -375, -368, -359, -348?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/560 and 81\/2122904.\nAnswer: 21229040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 + 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 7876.\nAnswer: -3\/7876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.21 in -0.06, -6, 189?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((-2*sqrt(72) + sqrt(72))\/sqrt(12) + sqrt(6))\/(sqrt(242) + sqrt(242)*1 + sqrt(242) - sqrt(242)))**2 + -1)*3*5*5.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-12 - (-1 + -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3244 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 414, 496, 570, 636, 694, 744, 786?\nAnswer: 820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -981 divided by -109.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 91 and 4.\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 715 and 160902885.\nAnswer: 160902885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2598820 or 2598825?\nAnswer: 2598825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2532 + 2531.04. Which is the smallest value? (a) y (b) -0.5 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - r + 22*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 0, 1, 506, 13526?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 0 + 3\/((-9)\/246). Let t = -82 - c. Let b be 25\/5*7*t. Is b greater than or equal to -70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 1016?\nAnswer: -1016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -27. Let t(u) = -5*u + 69. Let h be t(13). Solve a = 3*q - h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c**27*c*c)*c**24\/c)\/(c\/(c*c**(-21\/5)*c)*c\/(c**(-1\/19)\/c)) assuming c is positive.\nAnswer: c**(-1164\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-3 + 1 - 1)*(1 - 2*o - 1).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(((c**(2\/3)\/c*c*c*c*c)\/c)\/c)*c*c)**(-3\/10)*(c**(1\/4))**(1\/9) assuming c is positive.\nAnswer: c**(-67\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 11) to base 10.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008592 rounded to 7 decimal places?\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 5 + 15. Let c be (-3 + 18)*(-6)\/j. Let z = c + -5. Solve -z*s = s + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y - 3 - 2*y**3 - 2*y - 5*y as b*y + r + p*y**3 + u*y**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 5:04 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - z**3 - 3 + (33*z**2 + 11*z**2 - 12*z**2)*(2*z + 2*z - 5*z) to a*z + m + b*z**2 + g*z**3 and give g.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23012033 + -112?\nAnswer: 23011321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*x + 6 = -6*m, 3*m - 15 = 5*x. Suppose m = 4*i - 15 + 7. Find the second derivative of j**3 + 12*j**i - 12*j**2 - j wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3247910 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6197827\/128 + 48420. What is the common denominator of d and 61\/4?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 43 - 19 + 891*i**2 - 12 to c*i + f*i**2 + j and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 165169 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, k: 1, p: 2, v: 1, l: 1, w: 1}. What is prob of picking 1 q, 1 k, and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 3*u**2 + 22*u + 27. Give m(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.12 + -0.14. Let z = s + -5.08. What is z rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3473 a factor of 768610465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/23, -1\/19, -2, 4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 14 = -2*a, 4*a = -2*m + 6 + 18. Let j(d) be the first derivative of 0*d**3 + 1\/4*d**4 - d**m - 2 + 0*d. Find the second derivative of j(l) wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003191917 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: Let b(z) = 8*z + 4. Let v(y) = -23*y - 13. Let l(m) = 11*b(m) + 4*v(m). What is the units digit of l(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.874 - -0.026. Let a = m - 2.8999848. What is a rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14388945349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*p - 882, k + 3*p - 299 = 2*p. Suppose -1 - 9 = -2*l. Suppose -z - k = -l*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (497*r**2 + 7053*r - 7053*r)*(5*r**2 - 1 + 1) + (-2 + 2 + r**2)*(0*r**2 - 4*r**2 + 5*r**2) as f*r + y*r**4 + v + k*r**2 + b*r**3 and give y.\nAnswer: 2486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 2*g + 2. Let j be v(4). Let c = 33 - j. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 - -2. Let q = 1.4 + 1.6. What is the fourth smallest value in -1, l, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*t + 16*t + 1316 = 0. Is (-7)\/(t\/16) + 297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k - 1. Suppose -4*h + 2 = x, 0 = 2*h + 5*x + 2 + 6. Let t(c) = -c - 1. Let o(u) = h*m(u) + 3*t(u). Determine o(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.56 plus 6471?\nAnswer: 6472.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/84)\/(1\/21).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j + 16. Let u be q(-3). Let o(s) = 3*s - 20. Let i be o(u). Suppose 0 = 5*w - f - i, -w + 4*f + 64 = 3*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 4*w = -3*j + 240, 5*w = j + 48. Let g be (-5 - -3) + (2 - j). Let q = 50 - g. Which is the closest to -1? (a) -3 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 244\/(-1586) - (82\/(-13))\/2. What is the greatest common factor of 195 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o. Let d(i) = -4*i. Let g(b) = -3*c(b) + d(b). Let x = 20211 - 11209. Let m(l) = 9002 - 16*l**2 - x. What is m(g(h))?\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10461*h**3 + h**2 - 89178*h wrt h?\nAnswer: -62766*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-52)\/20 - ((-190)\/25 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 46213*-2\nAnswer: -92426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooloolaoollo. Give prob of sequence llla.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/2 + 1)*1. Let p be c*165*1*1. Suppose v = 3*k + 62, 3*v + 2*k = 4*k + p. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.014*0.2.\nAnswer: -4.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -11*m**2. Let f(n) = -419399*n**2. Determine z(f(d)).\nAnswer: -1934850733211*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 0.3 (b) -3 (c) 4 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-2 + sqrt(1088) + sqrt(1088))*4 + (-2 + sqrt(1088))*1)**2)*-6.\nAnswer: -529374 + 8640*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -2.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -9. Let q = 4 - x. Suppose 0 = -5*h + 3*w + 122, 0 = -4*h - 0*w + 5*w + 95. What is the remainder when h is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 90 and 159738?\nAnswer: 14376420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83741898 or -83741895?\nAnswer: -83741898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 99*k**2 - 56*k + 259. Is p(25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*g + 18*g**3 + 63*g + 99*g**2 + 5*g + 79*g**2.\nAnswer: 18*g**3 + 178*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 15*i**2 + 345*i - 2388. Give v(25).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -128. Let t = b - 131. Sort 6, 3, t in decreasing order.\nAnswer: 6, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 - 4*u - 2 + 964*u**3 - 2*u + 10 + 8*u**2. Let h be l(-6). Round h to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -13\/28 (b) 0.5 (c) 0.1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113852, 227708, 341568, 455432, 569300, 683172?\nAnswer: 797048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 399730 and 710?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -102935.33 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/7 + 10\/21. Let q be ((-15)\/10)\/(9\/(-4)). What is the third biggest value in 2\/13, t, q?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-31)\/(-1) - (0 - 2) - 0 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**6\/40 + g**5\/60 - g**4\/6 + 4*g**3\/3 + 2. Let p(t) be the third derivative of l(t). Is p(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 + 2*z**2 - 3*z - 1. Let s be f(-2). Let y = 1 + -3. What is the nearest to y in -2, 0, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.816 - -17.916. Let g = -4 + 7. Suppose 2*x - 20 = -g*x. What is the third biggest value in 3, x, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 5:15 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1363*g**3 + 4086*g**2 + 5461*g + 12.\nAnswer: -(g - 4)*(g + 1)*(1363*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34\/45 - 12643\/1665. Which is bigger: -7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -6.00000048. Let c = 0 - w. Round c to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -164 + 165.225. Let w = c + -0.125. What is w rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((3*-5*(1 + sqrt(3)) + -2)*3)**2)*-6.\nAnswer: -52074 - 27540*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.104 - 10.104. What is the nearest to -0.1 in 73, 2\/15, i, -3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 9 = -5*z, -7 = -0*c + 5*c - 3*z. Let g be c\/(-3)*63\/14. Suppose g*v = 91 + 8. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -293 - -591\/2. Which is the nearest to -2\/3? (a) 2 (b) -5 (c) k (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-315)\/10)\/(-9)*(-16)\/(-112). Let x = 2.2 - -0.8. Let o = -7 + x. Is o at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 32874c - -9?\nAnswer: 328758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhmu when four letters picked without replacement from {m: 7, h: 2, e: 2, i: 1, u: 1, s: 1}?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 496553 and 27?\nAnswer: 13406931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(21\/((-1197)\/(-76))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + (-8 + 3 - 1\/(-1)). Solve 2 + 0 = -c*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 205*s - 207*s + 40941, v + 4*s = 40941. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 divided by -107?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*(2 + -1*sqrt(153) + -3))**2*1.\nAnswer: 90*sqrt(17) + 3834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 747, 1490, 2231, 2970?\n\"Answer: -o**2 + 746*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkkk when four letters picked without replacement from kkkkkkkkkkkkkknkkk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 8:10 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 1 - -3)\/(0 - -2). Suppose -q - 1374 + 3694 = l. Let o = q - 1311. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35815 is divided by 1326.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 132, -1139 in decreasing order.\nAnswer: 132, -2, -1139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7708 rounded to one decimal place?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*s + 58*s - 412. Solve -5*c + 3 = -s*t, 3 + 12 = -5*t - 5*c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 189 - 24. Let a be (-4)\/(-18) - (-5934)\/27. What is the highest common divisor of q and a?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (49749 - 87419 + 47987)*(-k - 5*k + 4*k) as f*k + v and give f.\nAnswer: -20634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 3*y - 4, 3*f - 54*y - 28 = -58*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-1 - -3)) + (8 - (-58 - -3))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 - 9*f**2 + 8*f - 9. Let p be q(4). Let g(w) = 50*w + 29 - p - 99*w + 50*w + 0. Calculate g(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*r + 215 - 251*r + 760*r - 215 - 258*r.\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b - 4*b + 4*b**3)*(0*b + 629523 - 629790 + b) - 8*b**2 + 8*b**2 + 5*b**4 to w*b**2 + v*b + u*b**3 + t + d*b**4 and give u.\nAnswer: -1068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53930639?\nAnswer: 7, 2609, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - -7 - -3 - 1. Let x(d) = -d**2 + 3*d + 4. Let o be x(4). Suppose -p + 1 + 1 = o. Solve r*i + 2*t + 2 = -p, 5*i = 4*t - 22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.05, 5, 4\/7, -0.8, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 15*u**2 + 6*u - 107. Let c(n) = 16*n**2 + 8*n - 105. Give 3*c(w) - 4*o(w).\nAnswer: -12*w**2 + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((6 + -6 - -7) + 3 + -11). Sort k, -3, -0.472 in decreasing order.\nAnswer: k, -0.472, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-12) - (61 - (-444602)\/(-7192)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/(-1) - 12\/(-4). Let r = 32 + i. Suppose 130 - 450 = -r*w. What is the greatest common factor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33 - -2b8855?\nAnswer: 2b8888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123788852.\nAnswer: 2, 11, 23, 122321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*a = -497*a - 3796 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 38688*y - 77384.\nAnswer: 2*(y - 19346)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5411 by -1.\nAnswer: 5411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from {h: 1, i: 7}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**3*l**3*q - 3*c**3*l**2*q + 4*c**3*l + 2*c**3*q + 15*c**2*q + 3*c**2 + 2393864*l**3 + l*q - 26*l wrt l.\nAnswer: 24*c**3*q + 14363184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 + 11)\/((-6)\/80). Let v be (3*(-4)\/5)\/(16\/t). Suppose 0 = k - v*k + 45. What is the greatest common factor of k and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -768.5 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 33*o + 10. Let s(y) = 42*y + 10. Let t(w) = -4*s(w) + 5*u(w). Calculate t(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36784 and 2850.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3*b = -18, -4*j - 4*b + 336 = 320 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 144\/54*6\/4. Find the second derivative of 2*h**m + 4*h**4 - 37*h + 21*h**4 wrt h.\nAnswer: 324*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 + 108*l + 218. Give c(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5257239 take away 857000?\nAnswer: -6114239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 2*b - 2*b)*(6*b**2 + 22*b**2 - 12*b**2).\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3127, 11353, 25057, 44233, 68875, 98977?\n\"Answer: -q**3 + 2745*q**2 - 2*q + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.72189 millilitres in litres?\nAnswer: 0.00872189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -21802.5 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqtg when four letters picked without replacement from tfgqcfqy?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3)*369\/6. Let g = s - 9. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131898 is divided by 6589?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18\/12*(-19)\/((-8778)\/(-28))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5460*g + 5469*g = -4680270000. Round g to the nearest one million.\nAnswer: -520000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2543, 5165, 7823, 10517, 13247, 16013, 18815?\nAnswer: 21653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151\/728 + 23\/104. Which is the nearest to i? (a) -5\/2 (b) -9 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**3 - 4*i**3 - i**3)*(-2 - 1 + 5)*(-97 + 116 - 643) in the form s*i**2 + y*i**3 + v*i + o and give y.\nAnswer: 3744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 28*c + 1. Let n be (-1 + 2)*(-1 + 4 + -3). Suppose n = -14*p + 12*p + 32. Let d(b) = b**3 - 15*b**2 - 15*b - 17. Let g be d(p). Calculate w(g).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/15 + (-9)\/6*2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + ((sqrt(500) + 0)*-6 - (sqrt(500) + 0)*1) + 4)**2.\nAnswer: 140*sqrt(5) + 24506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/10 - (-98)\/(-40)*4. Let r(c) = 4*c + 42. Let y be r(x). Solve 3*v - y = 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 8. Let v be 34\/(-12) + (-2)\/(-2) + 2. Put c, v, 0 in descending order.\nAnswer: c, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1012 * -11.5.\nAnswer: 11638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 249643710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2320 + 31221303211?\nAnswer: 31221312131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, h: 4, a: 1, o: 1, w: 1, s: 3}. What is prob of sequence hxxa?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*4\/(-84))\/(((-31)\/(-310))\/(126\/(-105)))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 455\/390*1*6 - (378 - 269)\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -53, -86?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 73 + 3 + -28 + 7 + 2\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 3*n - 2*n)*(4*n**2 + 3*n**2 - 4*n**2)*(5 - 4 + 7) in the form s*n + h*n**3 + v + k*n**2 and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -3*u + 7*u. Let p = 19 - u. Calculate the greatest common divisor of 32 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 + 3 - 2)*(-22*m - 70*m - 22*m).\nAnswer: -6498*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 14 = 4*b + v, 2*b + 2 = -2*v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30231476 divided by -2748316?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*c - 23 = -417 - 416 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 - 74.206. Let i = y - -0.19715. What is i rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*(-4)\/(-15).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315 and 6055?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s + 12. Let h(d) = -13*d - 46. Let j(w) = h(w) + 4*n(w). Let b(k) = k - 1. Determine 5*b(m) + 6*j(m).\nAnswer: -m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 42\/16 + (-183)\/(-488). Find the third derivative of 0*b**q - 74*b**3 + 183*b**2 + 130*b**3 wrt b.\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from mzazaccccz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -126914 divided by -2759?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -125*l**4\/12 - 585*l. Let h(p) = -p**2. Calculate u(h(z)).\nAnswer: -125*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 46 + 22 - 29.\nAnswer: -2*l - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554911?\nAnswer: 7, 79273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 6*v**2 - v - 1. What is n(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 10:06 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 12:42 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(72)\/sqrt(2)*3)\/((sqrt(300) + 5*sqrt(300)*1)*6).\nAnswer: sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**0*o*o)**38\/((o*o**(-4))\/o*o**(-1\/3)\/o)*(o**(1\/2)*o**(-5))**16 assuming o is positive.\nAnswer: o**(256\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1058 is divided by 340?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -198, -402, -606?\n\"Answer: -204*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8648 * -1.\nAnswer: 8648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10779 + -317. Does -22189\/2 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -179*z**4\/4 - 2*z**3\/3 - 9*z**2\/2 - 5*z - 2. Is a(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/60*(-1)\/4.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buknkkkkbbbkbbbkkbk. Give prob of picking 3 b.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 342 and 259290?\nAnswer: 4926510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 7:56 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/12*(0 - 1\/(-7)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (16 - -4)\/(-4). Solve -2*a = v - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*j + 11, 0 = t - 6*j + j - 7. Let n(c) = 4*c - 7 + c**2 + c + 0*c**t. Give n(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.88 + 0.18. Let m = 1 + i. Let u = -4.5 - -0.5. Which is the second biggest value? (a) m (b) u (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111101001111001 (base 2) to base 3.\nAnswer: 1121000020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -91\/3. Suppose 0 = -0*o - 2*o + 4. What is the third biggest value in 2\/11, o, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 12 = 0, f - 2 = -0*l + 2*l. Let y be (l - -37)*(-5)\/(-10). Suppose 2*k - k = y. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -8 - (-7 + 1) - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**3*q + 27*d**3 - 8*d**2*q - 2*q + 43833 wrt d?\nAnswer: 3*d**2*q + 81*d**2 - 16*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61 or -2029\/33?\nAnswer: -2029\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 3. Let m be -1 - (b - (3 - 1)). Let c be (4\/14)\/((-5)\/(-70)). Solve 4 = 4*h - c*n, 0 = -2*n + m - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q + 26*q - 92 = 0. Let m(r) = -3*r - 69. Let l be m(q). Solve 5*u - 6*u - 4 = l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - 32 - (-1 + -6) - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(30) - sqrt(30))\/(sqrt(6) - sqrt(150)*1)*5.\nAnswer: -55*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t = -21*t - 10. Suppose -5*h - t + 0 = 0. Let q be h - -4 - (-1 + 4). Solve q = -y - y + 3*c + 6, 2*y + 3*c = 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 294 = -4*y. What is the second derivative of 4*i**3 - y - 3*i + 81 wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1708*h**3 - 853*h**3 - 841*h**3.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -11*x**3 - 734*x**2 - 507*x + 167. Determine b(-66).\nAnswer: -1219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1569.6 and -289.1.\nAnswer: 453771.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbbbbbbbbdb. What is prob of picking 4 b?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 19 - 7 - 2 + 6 - 3 + (-5 + 4 + 2)*(-1 + 4 - 2))*(-4*j + 5*j - 2*j)*(4*j**3 + 3*j**3 + 3*j**4 - 6*j**3).\nAnswer: -15*j**5 - 5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 0.2, -12, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -419 - -419. Let f(v) be the third derivative of -1\/40*v**6 + 6*v**2 + l*v**3 + 0*v + 0 + 1\/60*v**5 + 0*v**4. Determine f(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 + -9 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -1151*p + 110496. Let w(i) = 24. Calculate 4604*w(v) - x(v).\nAnswer: 1151*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4918543.\nAnswer: 7, 421, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 8) + 14 - (3 + (-10 - 2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(-228)*(-6)\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3487383381 to the power of 1\/2, to the nearest integer?\nAnswer: 59054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3897.\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, f: 4, g: 3, m: 1, e: 4}. Give prob of sequence gb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**3 - 2*r**2 - 7*r + 2. Let d be l(2). Suppose -d*s = 15 - 23. Solve 3*x + s*b = -0*b - 10, b = -2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.3 - 0.3. Let n = 0.03 - -4.97. Let q = n - 7. What is the third biggest value in q, x, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1451 = 2*d - 21435, -4*d - 24 = 0. List the prime factors of f.\nAnswer: 2, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112 - -111. Let d be (2 + x)*(-7 + 10). Solve -1 = -d*w + 3*b + 5, 3 = b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-250)\/(-35) + (5 - 4) + -8. Which is the smallest value? (a) 5\/4 (b) -132 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2 - 18*w + 5. Let p be n(-5). Let l be p - 2\/4*0. Suppose 3*z - 3*s + 5 = 2, -15 = 5*s. Put z, 3, l in increasing order.\nAnswer: l, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 + 2*s**2 - 3*s**2 + s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 40*p**3 + 4*p**2 + 4*p. Let s(b) = 79*b**3 + 9*b**2 + 7*b. Let n(j) = -7*r(j) + 4*s(j). Let n(h) = 0. Calculate h.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 1221550301?\nAnswer: -1221550254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b - 35. Let r = -2 - -2. Let o be l(r). What is the units digit of (-4 - o\/14)\/((-3)\/58)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/78*4 + (-3094)\/(-338). Let o be (6 - (-264)\/k)*(-6)\/(-4). What is the greatest common divisor of o and 1431?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 4:54 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-23)\/(92\/(-1904)) + (1 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49483475?\nAnswer: 5, 1979339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/84 + 16\/24. Factor -t*b**2 - 18\/7 - 12\/7*b.\nAnswer: -2*(b + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*t - 69*t - 1970. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4747159229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4, 6, 8, 10, 12?\n\"Answer: 2*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1710870 to the nearest integer?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -114*i + 63. What is the hundreds digit of g(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2\/5 (c) 64 (d) 367\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*n = -4*n + 13, 5*x - 2*n = 27. What is the remainder when 18 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -27*q + 74. Let s be i(7). Is s at most -115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-9)*21\/(-35)*1. Which is the closest to 0.1? (a) 17 (b) 5 (c) -1\/3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002000104644 rounded to six decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 4:40 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 916 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 951419.3 centimeters?\nAnswer: 9514.193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -112809 times -51?\nAnswer: 5753259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32135.\nAnswer: 5, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-12) + 10\/(-3). Let u be 1\/a - (-63)\/12. Suppose 3*d - 6 = -0. Sort d, -2, u.\nAnswer: -2, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 27 = 3*j, 0*j + 3*j = -n + 1. Let y be n + (1 - 3)\/1. Let k = y - -30. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 = b, -3*a - 3 + 2 = -4*b. Let k(l) = -l**3 - 3*l**2 + 2*l + 3. Let u be k(-3). Let j be (u - (-2 - 0)) + -1. Does b = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 580 and 2900?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11900010 = -5*z - 5*w, 0 = -0*z - 5*z + w - 11899998. Round z to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 47 and 0.0517.\nAnswer: 47.0517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 449, 2102, 4855, 8708, 13661, 19714, 26867?\nAnswer: 35120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bff when three letters picked without replacement from fbbbbfbfbbbbfbfbbb.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 214334648?\nAnswer: 214334652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 5*a + q - 3, -2*q = -10. Let g = -1 - a. Let o(u) = -6*u - 2. What is the remainder when o(g) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578 a factor of 15940662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15663 divided by -6?\nAnswer: 5221\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -95954.\nAnswer: 28786.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1260423448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-11)\/3 + -3)*3. Let s = l - -35. What is the remainder when 43 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -283153 or -282902?\nAnswer: -282902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/30 and -25\/666.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-3)\/((-27)\/(-23)). Put q, 5\/2, -2\/11 in descending order.\nAnswer: 5\/2, q, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 3:36 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 2\/13, 3.74, 1, -70\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*c - 2*m, -66*m + 67*m = -4*c + 8. Suppose -2\/9*y**c + 10\/9*y**4 + 0*y + 0 + 2\/9*y**3 + 2\/3*y**5 = 0. What is y?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41903314 is divided by 41903296?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a2b + 3?\nAnswer: 2a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/409 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 186*g + 4. Let s be q(-1). Let t = 23 - s. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1181 = -2*r - 1167 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -20768*v - 83185. Determine s(-4).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.9988 (b) 133 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*m**3 + 144*m**2 + 446810*m?\nAnswer: 126*m + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**4\/6 + 2*y**3\/3 - 3*y**2\/2 - 6*y. Suppose 13 = 5*l + 33. Give f(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 0*b**2 - 11*b**2 + 2*b**2. Let a(t) be the third derivative of -t**4\/8 + 1151*t**2. Give m(a(j)).\nAnswer: -81*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 17}. What is prob of picking 1 l and 1 z?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7273 + -4193. List the prime factors of h.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46415176 take away -16?\nAnswer: -46415160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 14994.\nAnswer: -59976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 326601*k + 653190.\nAnswer: 3*(k - 108865)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/2*(4 + -7)*-122 is divided by 48.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 880\/1282909?\nAnswer: 880\/1282909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 23 + (-13 - 10). Factor 2*u - 2\/3*u**2 + 0 + 2\/3*u**4 - l*u**3.\nAnswer: 2*u*(u - 3)*(u - 1)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*b + 1 + 1278*b + 46*b**2 - 51*b**2.\nAnswer: -5*b**2 + 1057*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 4431*l + 123284.\nAnswer: (l - 4403)*(l - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 145633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -604 + 620. Solve 3*h - n + 4 = 0, 4*n + 0*n - s = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r**2 + 135*r - 35. Let l be i(19). Solve -l*f - 15 = -0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 4, u: 7}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-14)\/(-6) - 1)*-3 + -1. Let z = -4 + 3. Sort z, 1, c in decreasing order.\nAnswer: 1, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 3\/2*w**2 + 1 - 3*w + 5\/3*w**3 + 1\/4*w**4. Let d = -19 - -16. Calculate f(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 903 divided by -5.\nAnswer: -903\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316, -306, -284, -244, -180?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 11332448?\nAnswer: 1\/1416556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63765 and 47970?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*n - 64 - 26. Let y be (-3)\/((-54)\/687) - (-1)\/n. Calculate the highest common divisor of 152 and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 300 = 5*j - 95185, 0 = c + 2*j - 19091. What are the prime factors of c?\nAnswer: 7, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 + 51. Suppose -4\/5*w**2 - 2\/5*w**l - 2\/5*w + 4\/5*w**3 + 2\/5*w**4 + 2\/5 = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1 + 3*g**2 + 3*g + g**3 + 0*g**2 + 5. Let h be b(-3). Let t(p) = 6*p - 5. Let z(q) = 7*q - 6. Determine h*z(d) + 6*t(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*c**2 + 27*c + 178*c**2 - 27*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 52497251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -2441 + 2440.95. Sort -3, -0.3, 0.03, r.\nAnswer: -3, -0.3, r, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879204 is divided by 202?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*c**4*i + 3*a*c**2*x**2 - a*c**2*x + 5*c**3*i*x**2 + 2*c**3*x**2 - 2*c**2*x**2 - 3*c*i wrt c.\nAnswer: 24*a*c*i + 30*i*x**2 + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-27)*126\/(-168)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1908786?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 2. Let c be p(-4). Suppose c*a = -2*z - 2226, 4154 = -5*a + 4*z - 1420. Is (6\/(-4)*2)\/(6\/a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*l + 2*l. Let c(h) be the first derivative of h**3\/3 - h**2\/2 + 11*h + 12. Is c(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*0.2722\nAnswer: -1.6332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 8:09 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from {e: 4, w: 1, y: 1, q: 2, b: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 894744 divided by 102?\nAnswer: 8772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f - 7*f + 377. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2281256453?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:28 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8218 - -15?\nAnswer: 8233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.1, -3, -44\/13, 0.15 in increasing order.\nAnswer: -44\/13, -3, -0.1, 0.15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2, 26, 102, 250, 494, 858, 1366, 2042?\n\"Answer: 4*n**3 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*j - 2 = 0, 6*n - 4*n + 3*j = 3. Let p(l) = l - 2. Let z be p(5). Let w(b) = 2*b + z*b - 6*b. Determine w(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 3 + 3)*(0 + 2*y + 0 - 3*y + 3*y + y + (4 - 3 - 3)*(4 - y - 4))*(4*y + 2*y + 3*y)*(1 - 4 + 2).\nAnswer: -90*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 12:19 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -6*p + 4. Let k be h(-3). Solve 0 = -z + 2*g + 7, 4*z + g = 6*g + k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25805101 is divided by 284?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 51*-1*(-5 - -3). Let i = 165 - a. Is 24 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27634963 and 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 1. Let i(n) = -2*n**2 + 2*n - 4. Let z be ((-1)\/3)\/((-1)\/9). Suppose -2*o + 1 = -z*o. Determine o*i(u) + 4*w(u).\nAnswer: 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, a: 2, o: 2, c: 2}. What is prob of picking 1 c, 1 o, and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -228?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*1.575.\nAnswer: 0.1575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19) + 1)**2 + 4 + sqrt(19) + 4 + 5.\nAnswer: 5*sqrt(19) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f**5 + 2894211*f**4 + 10419327*f**3 + 5209677*f**2 = 0.\nAnswer: -3, -3\/5, 0, 192951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieeeiette. What is prob of sequence te?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.3258946 to two decimal places.\nAnswer: 8.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -92, -108, -116, -110, -84, -32, 52, 174?\n\"Answer: w**3 - 2*w**2 - 17*w - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/3)*(w*w**(-3\/10))\/w*w**(-1\/2)\/w**(-6) assuming w is positive.\nAnswer: w**(68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*c - 31*c + 8378 = -9458. Let t = 5 + -3. What is the common denominator of 23\/22 and t + c\/12 - (-5 + 4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.3 and 0.4?\nAnswer: 1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a day?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o. Let r = 0 + 1. Let n(q) = -8*q + 2. Let h be (3 + -5)*(4 + (-5 - -7)). Let x(s) = h*u(s) + r*n(s). Calculate x(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 859 - 848. Solve 0 = -4*h - 5*n + x, -5*h - 2*n = -5*n + 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127 - -28. What is the common denominator of n\/21 + 3\/(-6) and (-58)\/(-28) - (-1 + 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-294)\/24 + 3 + 9)*88 - 3\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 144, 125, 106?\n\"Answer: -19*h + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/11 (b) 93 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -253168.76 rounded to the nearest one thousand?\nAnswer: -253000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 168421381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106894*s**5 + 101*s + 518?\nAnswer: -2137880*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 5*k - 3. Let d be ((14\/(-4))\/(-7))\/(2\/(-24)). What is a(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**5)**(-6)\/((o*o\/(o\/(o**(-4\/7)\/o))*o)\/(o\/(o*((o*o**(-10)*o)\/o*o)\/o))) assuming o is positive.\nAnswer: o**(-192\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 12 = -c, -3*c = -d - 0*d - 12. Let t be d + (-100)\/(-36) + 141\/27. Suppose a - 3*w = 84, 2*a - 89 = t*w + 79. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**4 + 15636*y**3 + 7766208*y**2 + 1036533008*y = 0.\nAnswer: -3353, -278, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95806 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1637 + -8.8363. Which is the closest to z? (a) -4\/3 (b) -1\/9 (c) 5 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/10 and -79\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 - (7 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2\/5 - 6802204*n\/5 + 5783747407202\/5 = 0 for n.\nAnswer: 1700551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -10*j**2 + 10*j + 8. Let p(h) = -h**2 + 6*h + 1. Let v be p(6). Let i(s) = -s**2 + 0 + 0 - s + 2*s**2 - 1. What is v*f(y) + 8*i(y)?\nAnswer: -2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 439*x**2 + 11*x - 8. Let w be a(-8). What is w rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 17049*s**2 + 11 - 8526*s**2 - 25*s - 8522*s**2. What is q(24)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 129 (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-78) - ((-13164)\/13)\/4. Suppose 8*y = 29 - u. Let a = 181 + y. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138615848?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14600 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**4 - 41562 - 24*y + 41562 - 44*y**2 - 24*y**3 = 0 for y.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*b*o**3*q**3 + 281*b*o**3*q - 5*b*o*q**3 - b*o*q**2 + 3*b*q**2 wrt q.\nAnswer: 108*b*o**3 - 30*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-12))\/((-728)\/(-156))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*t - 4, -v + 6*v + 6 = t. Let m be (-6)\/1*v - 1. What is the highest common factor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**4 - 15*j - 2. What is the derivative of g(h) wrt h?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - k**2 + (0 + 0 - 2*k)*(k - 4*k + 4*k) - 6*k**2 + 2*k**2 + 2*k**2 + 20*k**2 - 6*k**2 + 19*k**2 in the form m + x*k + r*k**2 and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 - 9*f**2 - 3. Let v(b) = -3*b**3 - 16*b**2 + b - 5. Determine 7*t(a) - 4*v(a).\nAnswer: -2*a**3 + a**2 - 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 597 = 207. Calculate the greatest common divisor of v and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 10:12 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 2:11 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 5*o**2 + 57*o + 184. What is v(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*i - 16 = -4*i, 23 = w + 4*i. Let h = 0.1 - 1.1. Let g = -0.1635 + 0.0635. Which is the nearest to g? (a) w (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 675425 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 10 + 8 = 5*m, -m + 2*x + 10 = 0. Suppose 6*v - 10 - m = 0. Solve 0 = v*b - 4 - 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29700*i**4*q + 2*i**3*q + 2*i**3 + i**2*q + 7415358*i**2 wrt i?\nAnswer: -712800*i*q + 12*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4247, 8297, 12347, 16397, 20447?\nAnswer: 24497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*d + 4*r, -16*r = d - 20*r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-1 + sqrt(88)\/sqrt(8)) + 4)**2 - (1 + ((0 + sqrt(11) + sqrt(66)\/sqrt(6))*-2)**2)) + 0.\nAnswer: -10*sqrt(11) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2318, 2596, 3058, 3704, 4534?\n\"Answer: 92*y**2 + 2*y + 2224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -10. Let p be v\/3*(-9 + 6). Suppose 2*w - 3*w + p = 0. What is the remainder when 9 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17781 by -4.\nAnswer: -17781\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r = 26*r - 4*n + 59, 0 = -3*n - 3 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 5:02 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 7*m + 1. Let x(a) = 16*a**2 - 6*a - 8 - 17*a**2 + 18*a. Calculate the remainder when z(6) is divided by x(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - a**2 + a + 7. Let l be r(0). Suppose -3*m + 270 = l*m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s. Let l(h) = h**2 + 30*h - 58. Let f be l(-32). Let g(j) = 2*j**2 + 6289 - f*j**2 - 6289. Give m(g(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*i - 14787 = -93*i. What is the remainder when i is divided by 42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35348 - 15431. Suppose 59*r - 120335 = -x. List the prime factors of r.\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109335985, 109335999, 109336013?\nAnswer: 109336027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*k**2 - 3 + (3*k + 0*k - k)*(-44*k + 6*k - 25*k) in the form z*k + d + s*k**2 and give s.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -93*12\/36 + 3120\/104\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127279 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.681 from 49954.162846.\nAnswer: 49959.843846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 13) to base 15.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 20*b**2 - 17*b - 3. What is the units digit of t(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106698 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**4 - 13976485*d**3 - 13022804204850*d**2 - 4044726712366634140*d + 4044739735184815480 = 0 for d.\nAnswer: -931766, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7705 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -1\/3, 9, -0.2, 0.5, 464\/73?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191 - 2*12\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 204, 411, 618, 825?\n\"Answer: 207*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*p + 40, 2*p - 16 = 2*f + 2*f. Let l(v) = -10 - 33*v - 4 + 34*v. Give l(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/77 > 0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 2)*(4 - 3 + 0)*(6*n + 0*n - 5*n) + (6 - 2 - 2)*(n - 12*n - 4*n) in the form s*n + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -887 or -845?\nAnswer: -887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.4 (c) 462\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -32 + (21 - 15 - 2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -126.5 + 128. Let a = 1.9 - n. Suppose 2*i = -i. What is the third smallest value in 4, i, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68731*o**2 + 68743*o**2 - 137463*o**2.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/30*6\/4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 689, 751, 911, 1217, 1717, 2459?\nAnswer: 3491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -41, -2\/3, 2, 1\/45874?\nAnswer: 1\/45874","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtt when three letters picked without replacement from mmtpmmmptmmmtmptp.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 3:15 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - x**4 + 0*x + (-x - x + 4*x)*(4*x**3 - 4*x**3 + 2*x**3) + x**3 - x**3 - 2*x**4.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4352*m + 78327. Calculate r(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27.21 - 27. Round a to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 125, 124, 123, 122?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 30. Suppose 2*r + 4*o - 2 = 0, -5*r + b*o + 13 = -5. Solve -r*a + a = 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {e: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -492*b - 5289. What is d(-11)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = 78 - 89. Let f = -12 - -15. Let l be 0\/(f\/(9\/6)). Solve w + 0*w - j = l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215 - 3930 = -124*m + 2855 - 618 for m.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**2 + 4. Let b(x) = -136*x**2 + 9*x + 8. Let i(a) = 61*a**2 - 4*a - 4. Let q(c) = -4*b(c) - 9*i(c). Determine -4*q(w) + 3*r(w).\nAnswer: 5*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24794491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a - 19 = -4*l, -3*l + 15 = 0. What is the remainder when 7 is divided by (-45)\/15 + (-5)\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25031069 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m**2 - m**2 - 5*m**2 + 6*m in the form n + g*m + p*m**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*u + 29*u - 2*u**2)*(3 - 1 - 4) + 4*u**2 - 3*u**2 - 2*u**2 + 0*u + 0*u - u**2 + (-2 - 2 + 5)*(-2*u**2 + 0*u + 0*u) + 2*u - 2*u - u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 6*z + 12 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k + 1. Let s be i(3). Let b be ((-2)\/3)\/(s\/(-45)). Suppose -5*x - 464 = b*a - 1192, 3*a - 5*x = 778. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - a**4 + (-a**2 - 3*a**2 + 5*a**2)*(-a**2 + 0*a**2 - a**2) + (2*a**2 - a**2 + a**2)*(-3*a**2 - a**2 - a**2).\nAnswer: -13*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 5\/3, -5, -6103?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 9, -d + 4432 = -3*q - 1355. Let w be 2\/13 - q\/130. What is the greatest common divisor of 6 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5649 (base 12) to base 2.\nAnswer: -10010101011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 206 - 2514. What is the hundreds digit of a\/(-10) + 12*(-8)\/120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-14\/3)*y**4*y assuming y is positive.\nAnswer: y**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/10 + 4\/20. Suppose -3*w - 14 = 2*d + 2*w, 5*d - 3*w - 27 = g. Solve -2*a = -d*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 395 (c) -3\/10 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -14*l + 11. Suppose -4 = -3*d + 7*d. Let q be (-3)\/3*9 - d. Let n(b) = 5*b - 4. Let c(s) = q*n(s) - 3*i(s). Let v(j) = j. Determine -2*c(y) + 3*v(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, t: 1, p: 2, g: 1}. Give prob of sequence to.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24*(2\/(-4))\/(-1) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, e: 1, a: 1}. Give prob of sequence xxa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u - u - 4 + 4.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1.4. Let d be (-1 - 5 - -14)\/(158 + -156). Put d, p, 0.006 in ascending order.\nAnswer: p, 0.006, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8893 - 817. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 458, 549, 644, 743, 846?\n\"Answer: 2*y**2 + 85*y + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 3 = u, -3*y = 2*u - u + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 4*g - 3. Let v(u) = -u**3 - u**2 + u - 1. Let o(a) = q(a) - 3*v(a). Find the second derivative of o(k) wrt k.\nAnswer: 12*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 356.94948597 - 187.94947971. Let v = k - 169. Round v to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + f**2 + 1. Let g(v) = -2*v**4 - 12*v**3 - 6*v**2 + 4*v - 8. Let o(r) = g(r) + 8*p(r). Determine h so that o(h) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**4\/4 - 16*v. Let n(p) be the third derivative of p**5\/60 - p**2. What is x(n(h))?\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2200*i - 200943 - 303726 = 11362*i + 255777 for i.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(7 + -5)*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1.1. Let q = 0.247 + -0.247. What is the closest to 2\/3 in q, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*l - 3385, 5*l - 3*y + 6*y - 3369 = 0. Suppose -6*o + l = -o. Calculate the remainder when o is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 18*k**2 - k - 12. Let a be c(9). Let h be (1 + 0)\/(-1)*1. Let z = h - a. Calculate the remainder when 59 is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c - 24*c - 2*c)*(7*c**2 + c**2 - 2*c**2)*(-13*c**2 + c**2 + 3*c**2).\nAnswer: 972*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -998 - -27225. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8363364 milligrams to nanograms.\nAnswer: 836336.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a + 6232 = 6664 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 21*i - 9. Let k(b) = 5*b - 2. Let u(m) = -18*k(m) + 4*w(m). Let o(l) = -l**2 - 19*l - 1. Let d(j) = 2*o(j) - 7*u(j). Find x, given that d(x) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*l = 15*l - 460 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, r: 1, l: 1, w: 2, b: 1, h: 1}. Give prob of sequence trh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**5\/60 + v**4\/6 + v**3\/2 - 3*v**2. Let z be r(-5). Suppose -5*l = -317 - 3. What is the greatest common divisor of z and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/14 (b) -3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2\/3*w**4 + 2\/3*w**3 - 4\/3 + 2*w**2 - 2\/3*w = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u = -5. Solve x = -u + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130 + -128. Let f(c) = c - 3 + 3*c + 0. Calculate f(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 19.7. Let j = r - 10. What is the second smallest value in j, -0.5, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d3 (base 15) in base 6?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 3, -4066, 1, 0 in descending order.\nAnswer: 3, 1, 0, -57, -4066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 - 206. What is the units digit of k\/(-1) - (-4 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, u: 2, c: 4, i: 8, j: 1, a: 1}. Give prob of sequence ac.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 721 + -248. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61144196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*q + l - 15, 461*l = 2*q + 464*l - 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 336\/(-48) - (-289)\/41. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 33.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6, -9, -10, -9, -6, -1, 6?\n\"Answer: v**2 - 6*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.93 + -0.07. Let t(z) = -2*z**2 - 9*z - 2. Let i be t(-4). Suppose j - i - 1 = p, 4*p = -3*j + 2. What is the fourth smallest value in 0.3, -15, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -37*k - 63. Calculate b(-9).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1237044 (base 13) to base 16\nAnswer: 568671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - -3201) + 2\/(-6). Let w = 3170 - l. Let a = -33 - w. Is a > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34240 + -32?\nAnswer: -34322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5*8\/(8\/(-1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -33*i**3 - 27*i**2. Let v(h) = 17*h**2 + 3*h**3 + 14*h**3 - 6*h**2 + 3*h**2. Let k(o) = 3*u(o) + 5*v(o). What is the third derivative of k(z) wrt z?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + -3 + sqrt(3) + -1 + -1 - ((5 + sqrt(48) - sqrt(3)) + sqrt(48)*-6).\nAnswer: -10 + 23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3709, 3707, 3705?\n\"Answer: -2*u + 3711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + (-50 - 22) + 57.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -324*p**3 + 1294*p**2 + 8*p.\nAnswer: -2*p*(p - 4)*(162*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -96*w + 4464. Determine c(46).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1341318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 2*c + 1. Let t be f(1). Let j = -65 + 29. Is 6 a factor of ((-8)\/(-12))\/(t\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407204*a - 380443*a + 10962*a.\nAnswer: -776685*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1621*s + 27092 = 463*s - 64604 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6)*45\/(-6). Suppose -3*k = 3*s - 18, -a*k - 7*s + 3*s = -28. Suppose 0 = 5*o + 2*h + 85006, -3*o + k*h - 50994 = 2*h. Round o to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 9:54 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 456. Let f = v - 224. Suppose 275 = 5*h - f. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -15*s - 162. Let d be k(-11). Suppose 7 = -d*r - 5*m + 6, -22 = -4*r + 5*m. Solve -r = v - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427356719 is divided by 720.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 17 = -2*x, 2*x + 2*r - 12 = 6. Let q be 4\/(-5)*15\/(-2). Suppose x*z = 11*z + q. Sort -1, -3, 3, z in decreasing order.\nAnswer: 3, -1, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + j = 2*j - 11, -26 = 4*d + 2*j. Let v(t) = -2*t - 5. What is v(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296486 = 436*p - 261170 for p.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1 (c) 4.7825\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 less than -1258101?\nAnswer: -1258100.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 6*s + 19. Let p be h(13). Let k = 8 - 6. What is the lowest common multiple of 3 and p\/(-50)*(-7 + k)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 11*i**2 - 4*i - 25. Suppose -4*j - j = 55. Let o be q(j). Suppose 0 = x - 2*g - 2*g - o, 0 = 3*x - 2*g - 17. Solve x*n + 8 = 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 2*n**2 + n + 1. Let f = -4 + 6. Let i be y(f). Let g = i - -8. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31134098*g**3*h*p**2 + 179197*g**3*p - 64*g**2*h*p wrt p.\nAnswer: 62268196*g**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -0.4, -0.2, 2, 0.48.\nAnswer: -0.4, -0.2, -1\/7, 0.48, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 = g. Let f be 1 + -1 + (2 - 0). Let k(j) = -f + 1 + 2. Let h(y) = y - 1. Determine g*k(m) + h(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -55. Let d = 303.6 + -304. Let s = 0 + 0.4. Which is the nearest to 2? (a) o (b) d (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 + 4*b**2 - 3*b + 4. Let l(t) = -t**3 - 16*t**2 - 16*t - 11. Let y be l(-15). Let g(n) = -3*n**3 - 5*n**2 + 3*n - 5. Determine y*g(d) + 5*h(d).\nAnswer: -2*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + -1.7. Let n be (2 + -3)*((-2 - -5) + -3). Which is the second biggest value? (a) -1\/4 (b) n (c) 3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**4 + 3*v**4 - 6*v**4)*(-2*v + v + 2*v) + (0*v**4 - 14 - 4*v**4 + 15)*(30 - v - 30) + 4*v + v**5 - 4*v.\nAnswer: 3*v**5 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**5 - 78*h**4 - 242*h**3 + 11462*h**2 + 23328*h + 11704 = 0.\nAnswer: -11, -1, 14, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2b3de (base 16) to base 9\nAnswer: 288857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232, -213, -194, -175, -156, -137?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3991*j*o**2*z + 6209*j*o - 2*j + 33*o**2*z - 7*o - 2*z wrt o.\nAnswer: 7982*j*z + 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 241 divided by 41\nAnswer: 241\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3602*m**2 - 5*m + 16. Let o(a) = 719*a**2 + a - 3. Determine 2*f(w) + 11*o(w).\nAnswer: 705*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -126*w**2. Let d(g) = 24*g - 1. Give q(d(j)).\nAnswer: -72576*j**2 + 6048*j - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z - 1070 = 0. Let s = -135 + z. Suppose 4*v - 113 = s. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1693 - -1713. Solve 2*o - r = -12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99524.98899934 + -99525. Let s = p + 0.011. What is s rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53\/4 + 133\/10. Let n(o) be the third derivative of 0*o**3 + 0 - c*o**6 + 0*o + 1\/45*o**7 + 3*o**2 + 0*o**4 + 1\/45*o**5. Find l such that n(l) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06624 + 0.13376. Which is the third smallest value? (a) i (b) 2.1 (c) 6.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2663\/56 + 385\/8. Factor w*u**3 + 10\/7*u**2 + 4\/7*u + 0.\nAnswer: 2*u*(u + 2)*(2*u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(121))\/sqrt(11) + sqrt(11) + (-3 + sqrt(77)\/sqrt(7) - sqrt(11)).\nAnswer: -3*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 5*u**2 + 3*u - 7. Suppose 3*n = -5*q + 68, 4*n = -6*q + 10*q + 48. What is the least common multiple of a(5) and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 681, 1001, 1543, 2313, 3317?\n\"Answer: f**3 + 105*f**2 - 2*f + 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-324*y**2 + 207*y**2 + 212*y**2)*((-2 + 5 - 1)*(3 + 0 - 4) - 2 - 15 - 46 - 5 - 1 + 5)*(2 - 2*y - 2) in the form o*y**2 + u*y**3 + r + h*y and give u.\nAnswer: 12540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 + 87. What is the third derivative of -139*t - 35*t**m + 139*t - 32*t**2 wrt t?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/3, -0.4, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -42 and 904659.\nAnswer: -37995678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/7))**33\/(d\/d**(-4\/13)*d*d**(-7)) assuming d is positive.\nAnswer: d**(1714\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 10 = 3*t. Let d be (1 - 0)\/(1\/3). Let p(i) = -i + 2 + 3*i - d*i. Give p(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.098 times -696\nAnswer: -68.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 1419356831 = -618896926. Let u = q - -3542485040509\/5214. Let a = 35\/237 + u. What is the common denominator of 13\/22 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**3\/2 - 7*k**2\/2 + 50*k. Let m be 1*(0\/(-1) + -5). Determine i(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 163338 and 26418?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -606 + 609. What is the lowest common multiple of 29 and d?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265, 1174, 2725, 4918, 7753, 11230, 15349?\nAnswer: 20110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111490\/7 + -15876. Are 52 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14795616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -135, -372, -723?\nAnswer: -1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 5*r + 27. Let o(g) = g**2 - 6*g + 28. Let l(k) = -4*o(k) + 5*u(k). Suppose 0 = 4*y - 0*y. Is l(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 409, 579, 741, 889, 1017, 1119, 1189, 1221?\n\"Answer: -t**3 + 2*t**2 + 171*t + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 14*t**2 - 3. Let x = -3271 + 3263. Let d(m) = -2*m**3 - 43*m**2 - 8. What is x*q(k) + 3*d(k)?\nAnswer: 2*k**3 - 17*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -2 + 0*o**3 + 0*o**2 - 1\/4*o**4 + o. Let i be b(-1). Solve 4*p - 2 = -f + 2, i*f - p = 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, n: 1, t: 1, g: 1, v: 1}. Give prob of sequence vnt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1807 + -1803. Let n be 31\/(-403)*(-13)\/f. Let y = 92.63 - 92. Is n at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 - l. Give b(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -133*l**5\/60 + 5*l**4\/24 - 7*l**2. Let f be z(5). Round f to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 60 (b) 2\/153 (c) -0.4 (d) -4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 549340 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 + -65. Solve 0*u + 23 = -5*b + u, y*b + 9 = -u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6682, -6755, -6828, -6901, -6974, -7047?\n\"Answer: -73*s - 6609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*h + 25054 = -126331, -151365 = -4*d + h. Round d to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 6651 = -5*b - 45562, z - 2*b = 12969. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13 - (12 + 10 + -14). Solve 5*s = 2*r + 25, 5*s - m - 15 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(98) + (3 + sqrt(98))*-5 + -3 + sqrt(98) + 3*sqrt(98) + 2)**2*1.\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 6 = -5*o. Let g be ((8\/(-2))\/o)\/(-5 + 4). Solve -g*w + 9*w = -10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from buuuqeubbqbqbbuqeu. Give prob of picking 2 q.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5620.\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-6))\/(26\/26)*(378\/(-8))\/(-21).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 898.5396181.\nAnswer: 902.5396181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 - -15 - 133\/(-7). Suppose -l - 72 = -12*a. Solve a*c = 2*c + 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqq when three letters picked without replacement from qcuccuucqcciqu.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.09, 7, -0.08, -424 in decreasing order.\nAnswer: 7, 0.09, -0.08, -0.2, -424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k - 10 = 3*x, 5*x + 40 = 3*k. What is the units digit of 2\/5 + (-248)\/x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6713861 and 303280.\nAnswer: 3791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2209*x - 2009*x = 7800 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 13*n**6\/20 - 125*n**4\/24 - n**3\/6 + 4*n**2 + 40*n. Find the second derivative of v(c) wrt c.\nAnswer: 468*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (162\/(-63))\/(315\/441).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/2319?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241419.\nAnswer: 3, 80473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t - 19 + 8*t - 5*t - 131*t**5 + t + 44 wrt t.\nAnswer: -2620*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (2\/1 - 0). Suppose -4*s - 2*z + 26 = c, -z + 12 = 5*s - 13. Find the third derivative of 4*b**3 + 4*b**2 - 6*b**2 - s*b**2 + 4*b**2 wrt b.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618191461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from deeed. Give prob of sequence eeed.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/322 and -109\/20.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.634 rounded to 2 dps?\nAnswer: -1.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 0*w - 2*w + 4, -5*z - 5*w = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*z - 11, z = a + 2*z - 1. Let b(m) be the third derivative of -1\/6*m**a + 1\/12*m**4 + 0*m - 3*m**2 + 0 + 1\/20*m**5. Determine b(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-60))\/((-1)\/(-1)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63138.97 decades in millennia?\nAnswer: 631.3897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 6:51 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 10 (b) 3 (c) 1 (d) 2 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f + 2*f - 2*f)*(-1 + 2 + 0)*(-623*f**2 + 610*f**2 + 11860 - 12487) in the form u*f + n*f**3 + d + l*f**2 and give u.\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-88)\/(-14) - (-1)\/(-14)*4. Suppose 11*l - p*l - 15 = 0. What is the hundreds digit of 662\/l - (-4)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -212*t + 212*t - t**2. Let n(u) = 81*u - 12. Let m(s) = 1540*s - 231. Let d(y) = -4*m(y) + 77*n(y). Calculate h(d(i)).\nAnswer: -5929*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-11 - -1 - -16) + (0 - 2 - -46)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-9) + (-12)\/(-54). Let v be -6 - (-16)\/4 - m. What is the units digit of 2*(5 + -1 + v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehhgheuhtzueeuuuh. What is prob of sequence gh?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - -0.1. Let n = -2.044 - -1.644. Which is the nearest to -1? (a) -5 (b) u (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 20*d + 122. Let s be c(-6). Let r(l) be the second derivative of -4*l + l**3 + 0 + 1\/2*l**4 + 0*l**s. Find the second derivative of r(i) wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*374\/408*6?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 70 = -0*a. What is the units digit of a\/28 + (-105)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1822*t - 1507*t - 1712*t = -1011*t + 217620 for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 19 = -2*f + 5*z, 0 = 5*f - z + 6. Which is the second biggest value? (a) -13 (b) f (c) 0.0219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6221*l - 855. Is g(34) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -27*r**3 + r**2 + 7*r - 4. Let c(q) = -18*q**3 + q**2 + 5*q - 3. Let j(n) = 7*c(n) - 5*l(n). Calculate j(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 5*j - 1. Let w be l(-3). Suppose w*a = a - 3*u - 1900012, -5*u - 1900020 = 4*a. What is a rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/8))**50 assuming m is positive.\nAnswer: m**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q - 9. Let j be b(-7). Solve j*l - 2 = 5*h - 22, -10 = 2*l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = -8*k + 38. Let h be (-4)\/(-14) + (3 - (-1287)\/77). Calculate the greatest common factor of h and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -360, -721, -1082, -1443, -1804, -2165?\nAnswer: -2526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 13 = -11. Solve 6*o - q*o - 12 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 - 8574*m**2 + 8224*m**2 - 1.\nAnswer: -350*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1695250 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -6459196590.\nAnswer: -6459196589.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.752663 milligrams?\nAnswer: 8752663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybyryiiiyzy. Give prob of picking 2 i.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 446378\/11 + (-3)\/33*-2. Round n to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -8*x**3 - 7*x**2 + 6*x - 7. Let f(w) = -w**3 - w**2 + w - 1. Let j = -308 - -312. Suppose o + 2*y + y = -11, 2*y - 58 = j*o. Give o*f(d) + 2*k(d).\nAnswer: -2*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 2. Let a(m) = -1. Suppose -k = -9*i + 16, 2*i - 33*k + 2 = -30*k. What is i*a(q) + 3*u(q)?\nAnswer: -3*q**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 999 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 3735.\nAnswer: -14\/3735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7621*v**3 + 7617*v**3 - 15258*v**3.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/656*(-288)\/216*6\/(-5)?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23349749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 142?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 67*x + 2795. Calculate b(29).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - f + 19 = 0, 7*z - 1760 = 5*f - 1809 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1560978086?\nAnswer: 2, 780489043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*j - 7, 17 = 2*x + 3*j. Let s be (-3 - 0) + 33\/11 - 1. Sort s, -4, x in decreasing order.\nAnswer: x, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4993, 93, -0.5, 4 in decreasing order.\nAnswer: 93, 4, -0.5, -4993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12776225 (base 9) in base 10?\nAnswer: 6309680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 302 + 255851?\nAnswer: 255b53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.204197 rounded to two decimal places?\nAnswer: 58.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 381431644849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 26. Which is the nearest to u? (a) -2 (b) -2\/5 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68857 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32743531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*m**2*y**5 - 471491*m**2*y + 28557*m*y**5 - 2*y wrt y.\nAnswer: -100*m**2*y**3 + 571140*m*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29997, -120054, -270149, -480282, -750453, -1080662, -1470909?\nAnswer: -1921194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 - 2*n - 3. Let i(j) be the first derivative of -j**4\/2 + j**2\/2 + 3*j + 1529. Calculate -4*b(g) - 5*i(g).\nAnswer: 2*g**3 + 3*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*k + 87 = 0, q + 4*q - 133 = -k. What is the lowest common multiple of 16 + 6 + (1 - 5) + -7 + 11 and q?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4042 (base 5) to base 9.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -854 (b) -5637 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421 is divided by 41?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -889815 bigger than -889812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from rrjeqrjjre?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doooooooooood. Give prob of picking 2 d.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((2*sqrt(1053) + -4 - -1*(-1*sqrt(1053) - sqrt(1053))) + (sqrt(1053) - 3*(sqrt(1053) + 0) - (4 + 2 + sqrt(1053))))**2.\nAnswer: 540*sqrt(13) + 9579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4)*(-39)\/(-1170). Let q(b) be the third derivative of -5*b**2 + 1\/30*b**5 + 0*b + 0*b**3 + 0 - f*b**6 + 1\/6*b**4. Factor q(u).\nAnswer: -2*u*(u - 2)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**3\/3 + 117*u**2 - 464*u + 1388\/3 = 0.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 6*v**2 + 5*v + 25. Give g(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 235 + -221. Suppose 76*r - 77*r = -v. What is the lowest common multiple of 9 and r?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3007.71 + 37.49. What is a rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from {d: 2, i: 4, f: 1, u: 1, z: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*s**3*x**3*y**3 - 3*s**3 + 6*s**2*x**3*y**3 + 2*s*x**2*y - 11*y**3 - 1 wrt x?\nAnswer: -90*s**3*y**3 + 36*s**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 11*z**2 + 15*z - 16. Is p(12) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 15) to base 9\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 9*o = -2304. Let j = -199 - o. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -2593668 = 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 522232168 to the power of 1\/2, to the nearest integer?\nAnswer: 22852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - 3) + (1 - 3). Let g(t) = -1. Let n(b) = 2*b + 2. Let y(r) = d*n(r) + 2*g(r). Let s(f) = 2*f**2 + f**2 - 4*f**2. What is s(y(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -663*c**4\/5 - 18561*c**3\/5 - 172296*c**2\/5 - 105924*c + 480 = 0.\nAnswer: -10, -8, 1\/221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 14992153?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9)\/(1\/((-5)\/(-10))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {g: 17, m: 1}.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q - 1. Let g(v) = 8*v - 1. Determine -2*g(t) + 5*m(t).\nAnswer: 4*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 32755 = k, 0 = -4*k - 0*j + j + 130998. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-45) - (-38)\/171.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*x - 19*x - 80 = 7*x. Solve -3*q = -4*n + 737 - 743, x*n + 4 = 2*q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(-49 - 23 - 296)*(-5 + 2 + 0 + (-1 - 2 + 2)*(0 - 1 + 3))*(2*h - 2*h - 3*h).\nAnswer: 11040*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*o, 35*o - 18 = -2*h + 31*o. Suppose -5*v + 271 = -4*g - 295, -h*g = 4*v - 461. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 9*a**3 + 107*a**3 + 22*a**3.\nAnswer: 120*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/44 and -17\/14366.\nAnswer: 28732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1.291, -1 in descending order.\nAnswer: -1, -1.291, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3051.55 - -3055.55002. Let n = 1 - 5. Let g = n + u. Round g to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*i - 286*i + 0 + 0.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000945 rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -313, -377, -455, -547, -653?\n\"Answer: -7*r**2 - 43*r - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/13)\/w*w*w**(-39)*w**(-3\/10)\/(w**(-7)\/w*w) assuming w is positive.\nAnswer: w**(-4219\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 70\/7 + (-8 - 0). Solve 6*m + 32 = -i*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3 + 4*r + 4*r**2 - 5*r**2 - 2. Suppose 530 - 445 = 17*t. Give f(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50833 is divided by 348?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = o, 5*o = -302*l + 304*l + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2. Let a(p) = -31*p**2 + 501*p - 8. Calculate a(t(d)).\nAnswer: -124*d**4 - 1002*d**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 22460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -29282*t**2 - t - 32440*t**2 + 5723*t**2. Let k be c(1). Round k to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*l**2 - 51*a*l - 27*l**2 wrt l?\nAnswer: 2*a - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6592898?\nAnswer: 2, 13, 253573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 10. Suppose -1 + 4 = 3*q. Which is the third smallest value? (a) f (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.278? (a) -133860 (b) 5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4251)\/(-13) + 2 - (5 + 3). Which is smaller: j or 324?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3\/a**(-1\/5))\/(a**18\/((a*a**2)\/a)) assuming a is positive.\nAnswer: a**(-64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s = -21*s + 16. Factor 0 - 12*l**2 + 12*l + 5 - 4*l**3 - s*l + 7.\nAnswer: -4*(l - 1)*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2322 + -23220020?\nAnswer: -23223002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -147 - -158. Solve 2*v - 3 = -j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from hhhkkkxhkzkhkmhkz?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22212 - 4026?\nAnswer: -26241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) -2 (c) 0.2 (d) 4 (e) 2 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103279.\nAnswer: 11, 41, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*o = -7, o - 6 = -5*u + 17. Let c be -2462 + 2470 + (-2 - -1)*3. Put 2, c, u in descending order.\nAnswer: c, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (370\/(-20))\/((-1)\/(-4)). Let m = 664\/9 + s. Let v = m + -1\/9. Which is the biggest value? (a) -7 (b) -2\/11 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 divided by 3037?\nAnswer: 146\/3037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a - 25. Let v be q(-14). Suppose -b - 1 = v*z, -z - b + 4*b + 13 = 0. Differentiate z - m + 12 + 4*m with respect to m.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1266.899373 and -4.\nAnswer: -1270.899373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31 and 21684?\nAnswer: 672204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**3 - 10*x + 26146. What are the prime factors of v(0)?\nAnswer: 2, 17, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 6, 3, -0.2, 1.21, -11 in ascending order.\nAnswer: -11, -0.2, 1\/2, 1.21, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4272 divided by -267.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**3\/3 + 7*d**2\/2 - 4*d + 12. Let h be q(-7). Is h\/10 - (-520)\/50 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -12 + (-13 - (-13 + 8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75\/133 + -1\/133. Which is the closest to 4? (a) 4 (b) -2\/15 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5 times -15?\nAnswer: 67.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + w + w)*(w + 4 - 4) + 67*w**2 - 68 + 68 to the form j + i*w**2 + a*w and give i.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 8. Give q(-26).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3395154441?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1\/4, 358, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -331 + 368. Solve 7 - h = 6*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.4385559 and 4121.\nAnswer: 4122.4385559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-1))\/(y\/y**(-3)))**(-1\/71)*y**(-1\/6)*y\/(y\/(y\/(y*y**4*y))*y)*((y*y**(3\/5))\/y)\/y*y**2 assuming y is positive.\nAnswer: y**(-9697\/2130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/6 and 7\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37.5 + 18.6. Let a = -19.10641 - -0.36341. Let x = a - v. What is x rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*f - 1540 = -112*f + 41*f. What is the remainder when 94 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 40 = 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d + b?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26382 = -5*b - 4722. Does 45 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 103 - 1137557?\nAnswer: -1137454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -119 - (94 - 202) - -34\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/12)\/b)\/b*b**(2\/19))\/(b**(-7)\/b*b**(-5))*(b**(-1\/2))**(1\/2)\/(b**(1\/3)\/(b*b**7)) assuming b is positive.\nAnswer: b**(1051\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14602967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008429 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182546514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + x = 4*x - 34, -3*u - x + 78 = 0. Let y = u - 17. Let k be y - 0*(-1)\/(-3). Solve 4 + k = 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 37*s**2 + 341*s + 24. Let j be v(-20). Solve j = -q, 2*r - r = 2*q + 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 - 1200222111200021?\nAnswer: -1200222111200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 675055878 to the power of 1\/2, to the nearest integer?\nAnswer: 25982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npwlo. What is prob of picking 1 p and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, -0.5, -0.3, -56171?\nAnswer: -56171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7344 - -20600. Calculate the remainder when v is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(4 - 3)*-8. Let t be 4 - (h\/(-4))\/(-5). Let m = t - -36. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3315, 2\/3, 2\/3185 in ascending order.\nAnswer: 2\/3185, 2\/3, 3315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2701 and 146.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-1 - -2))\/(-8 - (3 - 12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 43. Solve q = -4*q + 3*a - 16, q + b*a = -17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-8)\/l)\/(l\/(l\/l**(-5)))*l\/l**(-3\/5)*l*l\/l**(-3)*l)\/(((l**(-3\/7)\/l*l)\/(l\/l**(-2\/13)))\/((l\/l**(-7\/5))\/(l\/l**(-6\/11)))) assuming l is positive.\nAnswer: l**(6043\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 6 = -7884*l + 7880*l, -8 = -5*l + 2*b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23235 (b) -10 (c) -0.4 (d) -3 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/560 and 11\/730820?\nAnswer: 20462960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -355*d + 35. Let i be u(-2). Suppose -4*n + i + 836 = -3*t, 3*n = t + 1192. What are the prime factors of n?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 5180*n**2 - 10340*n.\nAnswer: -5*n*(n - 1034)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1251 is divided by (-5)\/(-70)*16*182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-6)*(-7)\/(140\/(-30))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, w: 6, n: 3, a: 2, q: 2, h: 1}. Give prob of sequence ahnn.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-22)*r))\/r**(-25))**(1\/41) assuming r is positive.\nAnswer: r**(47\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:00 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 7*c**2 + 6*c + 218. What is the lowest common multiple of z(14) and 186?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 11:13 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20 + 11)*(-4)\/6. Let y be (-2)\/16*(-24)\/g. Is y less than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**4\/4 + b**3\/6 - b**2. Suppose 26554 - 26815 = -87*s. Calculate m(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/(2\/16). Let n be -1*-10*2\/d. Let f = -9 - -6. Sort f, 2, n.\nAnswer: n, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 557436\/(-120) - 2\/10. Let l = 510921\/110 + j. Find the common denominator of 81\/10 and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 15*v**2 - 13*v + 23. Determine d(14).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + o = 24, 2*j - 2 = 3*o - 22 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 12:39 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120200 is divided by 59966.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007368 rounded to 6 dps?\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -120, -11, 10, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -341, -567, -893, -1319, -1845, -2471, -3197?\n\"Answer: -50*s**2 - 76*s - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1379709*i**2*w + 21431*i**2 + i*w**2 + 3*i wrt w?\nAnswer: 1379709*i**2 + 2*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 40539.692 to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -9*w**2 + 8*w + 6. Let k(z) = -11 - 22*z + 29*z**2 - 12*z**2 + 7*z. Suppose -5*p + 8*u + 26 = 0, -21*u - 34 = p - 17*u. Give p*k(n) - 11*b(n).\nAnswer: -3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 7*v**2 + 34*v + 39. Give q(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p - p)*(826 + 4372 + 3574).\nAnswer: -26316*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 6. Suppose -5*n - 2*k + 0*k - 13 = 0, -5*n + 15 = -t*k. Let y = n + -3. Sort 5, y, 3 in descending order.\nAnswer: 5, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*j = 52*j + 64 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3)*y**(-3\/17)*(y\/y**3)\/((y**19*y*y*y)\/y) assuming y is positive.\nAnswer: y**(-445\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 266 = -3*o. Let h = o + -46. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/5 + 556*x**2\/5 - 2738*x\/5 + 2184\/5.\nAnswer: -2*(x - 273)*(x - 4)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 11:40 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 19563.\nAnswer: -10\/6521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/10)\/w)\/w)\/(w**(-20)\/w) assuming w is positive.\nAnswer: w**(193\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17659?\nAnswer: 17659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = c - 26, -4*r + 13 = -3*r + 4*c. Let l = -4 - r. What is the second derivative of -5*x**3 + x - 3*x + l*x**3 wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 114 = -3*k. Let w = -16 + k. Factor -17*f**2 + 48*f**2 - w*f**2 + 6 + 21*f.\nAnswer: 3*(f + 2)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 6:21 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -576, -596, -640, -720, -848, -1036, -1296?\n\"Answer: -2*d**3 - 6*d - 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 48*d**2 + d. Let l(a) be the first derivative of -a**6\/180 - 10*a**3\/3 - 3*a - 69. Let z(f) be the third derivative of l(f). What is z(y(c))?\nAnswer: -4608*c**4 - 192*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57289 + 104*n**3 - 150 - 32088 - 106*n**3.\nAnswer: -2*n**3 - 89527","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20195810 is divided by 20195799.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 91039827 to the power of 1\/2, to the nearest integer?\nAnswer: 9541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3566 + -4\nAnswer: -3570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-3 + 0)\/(-12). Let q(z) = -z**2 - 85*z + 1153. Let m be q(-97). What is the nearest to -1\/3 in i, 1, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c**2 + 0*c)*(0*c + 0*c - c) - 6*c**3 + 24*c - 24*c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - q - 5. Let r = -10 + 10. What is g(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5579\/6 - 906. Let s = -1428 - -8695\/6. What is the common denominator of p and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 5*t = 95, -4*r + 4*t + 114816 = 114880 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 90152*i + 60278730.\nAnswer: -2*(i - 659)*(i + 45735)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 2*z, -11*q + 15*q = 7*z + 1 - 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -1\/3*k**3 + 0*k - 23\/24*k**4 + 0 + 27*k**2. Differentiate a(u) with respect to u.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 163 = -30*b + 37 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/5 (b) -0.4 (c) -42.3 (d) 2\/4349\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/13, 2, 9.\nAnswer: -12\/13, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5308045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*n - 120 + 6*n**2 - 143 + 256 in the form t*n + g*n**2 + p and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**2 + 5*o - 2. Let a(s) = -51*s**2 - 51*s + 21. Let i be (-5 - -1) + 126\/21. Let c(p) = i*a(p) + 21*m(p). Let w(u) = 3*u**2. Calculate w(c(x)).\nAnswer: 27*x**4 + 54*x**3 + 27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 123106 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/65 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/55)\/(176\/550) + 1\/(-4).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v - 3*v**2 - v**3 - 1 + 21*v**2 - 11*v**2 - v**3 + 5*v**2 to b*v**2 + x + w*v**3 + k*v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*u = 16, -5*d - 15 = 5*u + 5. What is the common denominator of -38*(-1)\/(-32)*2 and d + 1 + (-81)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34404.1831601 + 34217.18317. Let o = b - -187. Round o to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11813 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v + 1. Suppose 0 = -3*t + j - 5*j + 17, 0 = -4*j - 16. What is the least common multiple of t and b(1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3663412 - 4?\nAnswer: -3663416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11721192 (base 10) to base 6.\nAnswer: 1055120440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3*o - 23*f**3 - f*o*s - 2158*o*s + 6*o wrt f.\nAnswer: 6*f**2*o - 69*f**2 - o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 62 and 71 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1570.022356 to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -23. Let o(t) = -2*t**2 - 7*t - 4. What is o(g)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 69 = 11. Let k(u) = 3*u + h - 16. Let j(g) = -2*g. What is k(j(l))?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32592 is divided by 5258.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.24 + 478.37.\nAnswer: 481.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -37885 (b) -133 (c) -1\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 4, -33, 1145 in descending order.\nAnswer: 1145, 4, -1, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 24335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 + 12117*r - 71.\nAnswer: 12117*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((4 - 0)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-3))\/((-1)\/90). Suppose 0 = b + b - a. Suppose z - b = -z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v**3 + v**2 - 4*v + 4. Let u(y) = -25*y**3 - 3*y**2 + 11*y - 11. Let i(q) = -5*q**3 - 12*q**2 + 9*q - 4. Let n be i(-3). Give n*u(c) - 11*a(c).\nAnswer: 12*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = -111 - 269. Let g = b + 42. Solve 4*o - 4 = -g*t, -5*t + 0*o = -4*o - 23 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, l: 1, g: 1}. Give prob of sequence lpp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.247*7342.6\nAnswer: 1813.6222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 12:56 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*m - 1. Let s be (m + -1)\/(-1*1). Suppose -6797 = 4*n - c, c = 3*n - s*n + 5097. What is n rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044650026 to the power of 1\/3, to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0 - 38 = -3*o, -18 = -3*o + 3*z. Find the third derivative of 4*b**2 + o*b**3 - 10*b**3 + 5*b**6 wrt b.\nAnswer: 600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14305\/3 - -4768. Which is the nearest to l? (a) 2 (b) 4 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, -15, -46, 20, -1, 0.\nAnswer: -46, -15, -1, 0, 3, 13, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g - 4. Let u be w(-8). Let t(l) = l**2 + 4*l + 1. Let q be t(-6). What is the highest common factor of u and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598 is divided by 585.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/3*-4)\/(62\/186). Calculate the greatest common factor of 308 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 129995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 5152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4536)*1 - sqrt(4536))\/(sqrt(48)\/sqrt(6)*4) + (1 + (sqrt(2541)*1)\/sqrt(3))*1.\nAnswer: 1 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**4\/12 + 2*v**3 + 11*v**2\/2 + 4*v + 14. Factor h(g).\nAnswer: (g + 1)*(g + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -15*d**2 + 4*d - 9. Let q be u(3). Let m = -71 - q. List the prime factors of m.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2275*f**2 - 1263*f**2 + 1197*f**2 + 1955*f**2.\nAnswer: 4164*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*y + 12, -y - 27184*r + 27179*r = -36. Suppose -i + f - 4*f = -247, 0 = 5*f + 10. What is the highest common divisor of i and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s - 3. Let d(u) = -u + 2. Let l be d(0). Suppose a = 4*a + 12, -5*a = -l*r + 16. What is j(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 6\/21801979?\nAnswer: 6\/21801979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**5\/60 + x**4\/3 + x**3 - 5*x**2. Give g(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + v. Let b(l) = 0*l**2 + 0*l**2 + v*l**2 - 3*l**2. Let j(y) = -2*y**2. Calculate b(j(n)).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 712\/7 - 102. Which is the closest to 1? (a) 1 (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.008? (a) 0 (b) -0.18 (c) -7 (d) -9\/5 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*y - 25 = -5, -2*a - 5*y = -115. What is the highest common divisor of 60 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 17 + 5. Suppose 2*y - 4*k = 4, 2*k - v = -4*y + 7*k. Is 2 a factor of (1 + 0)*(1 + y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1884010684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0518 to 3 decimal places.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96280 is divided by 2465.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-277398)\/(-324) - 856)*10\/(-4)*-228?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, t: 3}. What is prob of picking 3 t?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 j when four letters picked without replacement from {q: 11, r: 1, j: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 2*s**7\/105 + 179*s**6\/120 - 1283*s**5\/60 - 82*s**2 - 2*s. What is the third derivative of q(k) wrt k?\nAnswer: 96*k + 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/9)\/1*-10*(-9)\/(-300). Which is the nearest to -17? (a) -1\/8 (b) -3\/2 (c) p (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + 4 + 3*sqrt(704)) + (sqrt(704) - (0 + (sqrt(704)*1 - sqrt(704)))) + 3*sqrt(704)*4.\nAnswer: 21 + 176*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5500 + 5512. Which is the nearest to 12? (a) f (b) 0.01 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (8 - (3 + -3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5217*3.521.\nAnswer: 1.8369057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (3 - -3) + -37\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7730352 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1185\/711)\/(20\/6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/9 - 92*h**3\/9 + 168*h**2 - 1188*h + 3078.\nAnswer: 2*(h - 19)*(h - 9)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 24*z + 3. Suppose -21*y + 11 = -31. Suppose -y*j + 22 = -5*a - 5*j, -a + j = -2. Give k(a).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 3*v = -2*k - 5*k - 46, 6*v - 14*k - 80 = 2*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24977021, -49954039, -74931053, -99908063, -124885069?\n\"Answer: 2*z**2 - 24977024*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-117)*(-160 + 163) + 3794\/(-546).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-28)*s)*s**27\/s)\/((s*s*s\/s**0)\/s**(-2\/67)) assuming s is positive.\nAnswer: s**(3415\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 107 + 7*c**3 + 55.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 2, y: 3, j: 4, c: 2}. Give prob of picking 1 y and 1 e.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.261 or 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + g - 38. Calculate p(10).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 64\/(-10) - 12\/(-30). Let o be ((-2)\/g)\/(2\/66). Suppose -x + o + 2 = 0. Solve 4*m - 6 = -2*k + 2, 0 = k + 5*m - x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 112*g**2 + 1 - 174*g + 172*g to n*g + m + c*g**2 and give c.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 246\/73 - 7091\/1606. Calculate the common denominator of x and 21\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 5*o + 7. Let n be a(5). Let h = n + 7. What is the remainder when h is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23099208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 135 = -y. Let p = 17096 - 17082. Calculate the remainder when y is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 201*n - 8*n**2 + 4 - 200*n - 7*n**2 + 13*n**2 - n**4 + 2*n**3 to the form c*n**4 + h*n**3 + i + u*n**2 + f*n and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87032 is divided by 458.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1074403.\nAnswer: 11, 97673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20821758371 and -0.07?\nAnswer: 20821758370.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 5\/109, -1.9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 36*u**3 + 2*u**2 + u - 2. Let p(s) = 36*s**3 + 3*s**2 + 2*s - 3. Let y = 8965 - 8967. Determine y*p(w) + 3*g(w).\nAnswer: 36*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*6\/60 + 17\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, q: 6, d: 2, y: 1, a: 2}. Give prob of sequence kad.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.01, 4\/7, 0.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 6*i - 5. Let p be l(5). Suppose 5*d - 33 - 7 = p. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 7:59 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 a factor of 33451838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lckhccccncncncnhcnck. What is prob of sequence kc?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8750 + -6313. List the prime factors of n.\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.289? (a) 2\/7 (b) -1\/4 (c) 116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -48*x**2 + 116. Let c(j) = -25*j**2 + 55. Give -7*c(d) + 4*f(d).\nAnswer: -17*d**2 + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 30*s + 66. Give v(-4).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -579 - 847*c**4 - 2*c**3 - 850*c**4 + 1695*c**4 - 2*c to the form o*c**4 + z*c**3 + g*c + d*c**2 + n and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55526109\/116 less than 478674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-10)\/125*(-542)\/542.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, v: 2, m: 3}. Give prob of picking 1 m and 2 v.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.0051*-6\nAnswer: 0.0306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/136 and 1100\/120 - ((-7)\/4 + 2)?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 261009.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 3, 39, -2, 9 in ascending order.\nAnswer: -2, 3, 8, 9, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2. Let b(w) = 19*w + 2. Let t(p) = p - 1. Let y be t(3). Let j(i) = 455*i + 49. Let o(h) = y*j(h) - 49*b(h). Determine z(o(s)).\nAnswer: -441*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 22*j - 164. Let q(z) = 109*z - 779. Let w(n) = -19*d(n) + 4*q(n). Let r(i) be the second derivative of 5*i**3\/3 + i. Give r(w(u)).\nAnswer: 180*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8390174067?\nAnswer: 3, 11, 17, 4985249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.8 - 4.4. What is the closest to 1 in 0.1, -1\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -339 in -5, 5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/10))**29*((t\/(t\/(t*((t*(t**(5\/4)\/t)\/t)\/t)\/t)))\/t)\/t*t*t*t**(-1\/6)*t assuming t is positive.\nAnswer: t**(-169\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 60*v**2 + 7*v + 392. What is b(-60)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 52. Calculate the remainder when c is divided by 3\/(-21)*-86 - 6\/21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**6\/30 - 6*h**5\/5 - 75*h**4\/4 + 2900*h**3\/3 + 3000*h**2 + 3710*h. Factor s(f).\nAnswer: (f - 20)**2*(f + 1)*(f + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/769656 and -95\/18.\nAnswer: 2308968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59107356*w - 59107356*w - 3023*w**3.\nAnswer: -3023*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/10 and 29\/3209.\nAnswer: 32090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -314.4 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20916206 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -11*j - 40. Suppose -24*m + 25*m + 8 = 0. Let v be g(m). Suppose 348 = -v*t + 51*t. Is 29 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 2*p - 61. Let t be y(9). Solve t*r = 2*i - 0*i - 8, 2*i = -2*r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222632220.\nAnswer: 2, 3, 5, 907, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**3\/3 + 5*m**2\/2 + 3*m + 1. Let h be j(6). Does 12 divide (-424)\/(-12) + (-2)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b2c (base 15) in base 8?\nAnswer: 4725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -220 - -458. What is the highest common divisor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**6 - 10*c**2 + c**6 + 5*c**6 - 5*c**2 wrt c?\nAnswer: 840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 46*j**3 - 6*j**2 - 16*j + 2. Let h(s) = 93*s**3 - 13*s**2 - 35*s + 4. Determine 6*h(q) - 13*z(q).\nAnswer: -40*q**3 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.53 - 4.53. What is the closest to i in -5, 14, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*p + 111*p + 186*p - 4 - 224*p as w + o*p and give o.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*s - 3*h, 25 = 2*s - 5*h - 4. Let m = -3 + 6. Let v = -0.9 - -0.4. Which is the second smallest value? (a) s (b) m (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 23*a + 189. Let v be r(-8). What is the closest to -3 in -4, v, -0.2, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -87825, -0.2, -0.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*p - 9*p + 12*p)*(2*p + 2*p + 0*p).\nAnswer: 308*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/474*(-574)\/(-49). Let y = f + 2\/79. Let x be (-3)\/5 + 0\/3. Which is the biggest value? (a) x (b) y (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**6\/2340 - s**5\/780 - 5*s**3\/3 + 4. Let l(u) be the third derivative of g(u). What is d in l(d) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-4) - -1)*(-3)\/(-3). Let j(a) = -29*a - 3. What are the prime factors of j(m)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + 6537. What are the prime factors of n?\nAnswer: 2, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)*x**(-10\/9))**(-36) assuming x is positive.\nAnswer: x**(352\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40.38 - -40. Let p = -0.02 + a. Let t = p - -0.5. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*w - 10 = -2*b, 5*b - 4*w + 27 = 0. Let n = 14 + b. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326880 rounded to the nearest 10000?\nAnswer: 1330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1065\/2? (a) -546.3 (b) 1 (c) -2\/13 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(152)*2)\/sqrt(8)*5)**2 - (2*sqrt(304)*-1)**2).\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 49, -5 in ascending order.\nAnswer: -5, -4, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r + 2. Let x(y) = -y + 1. Let h(v) = 2*p(v) + 2*x(v). What is the remainder when h(9) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11789 - -13641568\nAnswer: 13629779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 262 by 238.\nAnswer: 131\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -111 - 768. Let o = 14123\/16 + f. Find the common denominator of 59\/12 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.075 + -244.925. Let t = b + 135. Which is smaller: t or -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 5*k + 1. Let t be r(-4). Let j(h) = -12*h - 2. Let m(d) = -1. Let x(l) = -3. Let q(n) = 2*m(n) - x(n). Let p(o) = j(o) - q(o). What is p(t)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 2:22 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4498 + 5540 = 14*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kccckcc. Give prob of picking 1 c and 1 k.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1289?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -1 - 89*w**2 + 1 - w - w**3 + 88*w**2. Let n(t) = 7*t**3 + t**2 + t - 1. Let k(p) = -i(p) - n(p). What is k(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -919339, -919268, -919155, -918994, -918779, -918504, -918163, -917750?\n\"Answer: c**3 + 15*c**2 + 19*c - 919374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001217 rounded to six dps?\nAnswer: 0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/2*(-63)\/42. Suppose u + 11 = 3*h, -5 = 3*h + 4*u - 21. Factor 2*m**h + 2*m**s - 6*m**3 + 7*m - 2 - 3*m.\nAnswer: 2*(m - 1)**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 + (-261)\/27)*(-3)\/(-2)*-10. Solve 2*r - f = 0, 2*v + 15 = -0*v + 5*r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 6 + 2*w - 49*w**2 - 11.\nAnswer: -49*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.123 and 2.261.\nAnswer: 5.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*o**2*w**5 - 847*o**2*w**3 - 3*o**2*w**2 + 7*o**2 + 4*o*w**2 - 14*w**2 wrt w.\nAnswer: 240*o**2*w**2 - 5082*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2. Let n(m) = 843*m. Calculate b(n(l)).\nAnswer: -710649*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 70.7. Which is the smallest value? (a) y (b) 1\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(2\/(-2)))\/2. Suppose 0 = -2*a - 5 - d. Sort a, 5, 3 in descending order.\nAnswer: 5, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 18 + v - 156 + 138. Let c(l) be the second derivative of -l**4\/4 + l. Calculate x(c(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, g: 12}. Give prob of sequence ggg.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/10)*v*v)\/(v**(-8)*v)*(v\/(v*v\/(v*v\/(v*v**2))))**20*v**(-3\/10)*v*v**(-4\/11)*(v**(-1\/3)\/v)**(-31\/5) assuming v is positive.\nAnswer: v**(-3547\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/9 - 40*h\/9.\nAnswer: 4*h*(h - 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-5))\/(-6) - 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48204\/7 + 6797. Let k = p - -11919\/140. Find the common denominator of 7\/2 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**5\/120 - 11*a**4\/24 + 25*a**3\/6 - 21*a. Let f(n) be the second derivative of t(n). Calculate f(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -8*k + 2*k + 7*k. Let t(o) = -4*o**2. What is m(t(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-12))\/((-1)\/(-18)). Suppose 3*r - l = -0. Suppose 3*z - 618 = -3*p, 0*z + r*z = p - 221. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1401 + 2165?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 12 = 5*x. Let l be 2\/(-8) + (-3)\/(-12) + x. Solve -21 = 6*b - l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)\/s**(8\/5))\/((s\/s**(6\/11))\/(s*s*s**(-2\/13))) assuming s is positive.\nAnswer: s**(-1579\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -4, -4\/11, -8, 0.4?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (15 - 1)) + 61\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 + 58 = -g. Let a(m) = 10*m + 0 - 4 - m**2 + 1 - 2. Let v be a(g). Solve 1 = r - v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 10*s**3 - 5*s**2 - 5*s - 2. Let z be o(5). Suppose -h - 552 = -0*h + 2*b, -2*h - 2*b - z = 0. Is (508\/(-6))\/(52\/h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14436 equal to -14458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**4 + 4*k**3\/3 + 2*k**2 - k + 1. Let m(u) = -u**2 - 9*u - 17. Let b be m(-7). Is r(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-9))\/(8\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46286.06m to millimeters.\nAnswer: 46286060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6504059 is divided by 784.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -2997195\nAnswer: -1\/599439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -1.6983.\nAnswer: -1.6983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -272 + 175. Let j = 163 + d. Let y = j - 66.115. What is y rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70.9999914 - 71. Round d to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3652 or 98623\/27?\nAnswer: 98623\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -4027, 4?\nAnswer: -4027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1286852 and -39\/112.\nAnswer: 5147408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40620 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(288) - sqrt(288))*6 - ((sqrt(16) - sqrt(32)\/sqrt(2))\/sqrt(8))**2*-4)*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4053004 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6948 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 5:24 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 2*n**2 - 3*n + 66*n**3.\nAnswer: 66*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-32))\/((-3)\/6). Let k = c - 9\/16. Let u be (25\/125)\/(-5*(-4)\/50). What is the closest to 2\/7 in u, -0.4, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cczzczzcczzzc. Give prob of sequence czcc.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -394 + 1640. Suppose 0 = 6*t - 4*t - 2, -s = -5*w + 4*t. Suppose -12*i + 170 = -w. Solve -4*q + h = 1 + 2, 5*h + i = -5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 243*u**4 - 640*u + 2.\nAnswer: 2916*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*u - u. Let b be u + -6*1\/2. Let h = -5 + 8. Sort h, b, -5 in descending order.\nAnswer: h, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.05965 decades in years?\nAnswer: 320.5965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -929 - -948. Solve 48 + 9 = f*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**2 - 2*y + 6. What is p(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2))\/(2\/(-4)). Let y(v) = 11*v**2 + 7*v - 4. Let u(k) = 7*k**2 + 4*k - 3. Let m(h) = 8*u(h) - 5*y(h). Give m(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - c**2 - 2*c - 1. Let y be g(0). Let i(d) = -3*d**3 + 11*d**2 - 2. Let s(b) = -2*b**3 - b + 1. Let p(f) = y*s(f) + i(f). Calculate p(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.22756 + -231.22756. What is the closest to -0.3 in b, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -7. What is the derivative of 1 - 3*h**3 - i + 4 wrt h?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**2 - 4*g + 2. Let o(w) = -w + 1. Let u = -1603 - -1602. Determine u*q(f) + 3*o(f).\nAnswer: -6*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 121\/9*l**2 - 1\/9*l**4 - 22\/9*l**3 + 0*l = 0. Calculate l.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + g)*(2*g + 2 - 2) + (4*g**2 - 2*g**2 + 0*g**2)*(1 - 2 + 2) + (24*g - 13*g - 47*g)*(0*g - 2*g - g).\nAnswer: 112*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/3)\/(-4)*21730\/1060?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27 - (-14)\/(-98)*-7. Calculate the greatest common factor of 126 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -772641*c**3\/4 + 11623017*c**2 - 2005564*c + 86640.\nAnswer: -(c - 60)*(879*c - 76)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 23\/11295?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 85624?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 2*s - 14, -2*s + 19 = 4*b + s. Let p(f) = 8*f - 25. Let v be p(b). Let u = v + 2. Let h(l) = -l + 5. Calculate h(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1591*f = -1586*f + 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1082*p**3 - 12*p - 10. Let n be y(11). Round n to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10252 (base 6) to base 15\nAnswer: -635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15a (base 11) to base 8.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 62 + (-11 - 13) + (-1 - -4) - -11\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1184126\/59 - -20070. Which is greater: 2.2 or w?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n - 0*n. Let q be (-1 - 0) + 12\/n. Suppose 2*x + 3 = -w, q = -2*w - 3*x - 0. Solve -4*r = -2*u, 0 = -u + 4*r + 7 - w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 21 - 9 - 16 - 2*y**2 to the form d*y + u*y**2 + g and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 0*j**2 + 3*j**3)*(223*j**2 + 222*j**2 + 83*j - 444*j**2).\nAnswer: 3*j**5 + 249*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 6:11 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59 + -2813?\nAnswer: -286c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -15*t**2 + 4*t - 11. Suppose 3*n + 2*u + 30 = 0, -2*n = -n + 4*u + 10. Let r = n + -3. Let o(x) = -7*x**2 + 2*x - 5. Give r*o(k) + 6*j(k).\nAnswer: k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 27 - 229 = 0. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -24*y**2 + 27*y - 1. Calculate q(-2).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 0.09, -0.5, -10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.7 + 1.3. Let x = g + 36. Let q = -43.86 + x. What is q rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22313120 (base 4) to base 9.\nAnswer: 67038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 2744402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, -1, 9, 17, 17, 3, -31?\n\"Answer: -u**3 + 8*u**2 - 11*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1209465 = -32*k + 63*k. What is k rounded to the nearest one hundred?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*c**3 - 78*c**3 + 65*c**3 - 114*c**3.\nAnswer: 72*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773076?\nAnswer: 2, 3, 23, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -170.7 - -164. Let z = j - -7. Let l(s) = s**2 + 4*s - 2. Let p be l(-5). Which is the smallest value? (a) z (b) p (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/((-680)\/(-17)))\/(3\/(-6)*3)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8115 and -0.768.\nAnswer: 6232.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 17*k**3 - 9*k**2 - 6*k + 8. Let q(p) = -4*p - 9137 - 2*p**3 + 13*p**3 - 6*p**2 + 9142. Determine -5*a(y) + 8*q(y).\nAnswer: 3*y**3 - 3*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 649 = -15*v + 439. Does -106\/7 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 293\/7. Sort 1\/5, -1, c, -17 in ascending order.\nAnswer: -17, -1, c, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23 or 21?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 3*z - 6. Let y be g(5). Suppose -5*s = y*u - 26, -4*s = -5*u + 19 - 7. What is the nearest to -2\/9 in u, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118043.5nm to micrometers.\nAnswer: 118.0435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - q = -30. Let p(t) = t**2 + 5*t - 3. What is the units digit of p(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 10 = 2*i, -3*i + 8*i + 11 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzzvvvppbjzj. Give prob of picking 1 j, 2 z, and 1 b.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**4\/12 - t**2\/2 - 2647*t. Let i(k) = -28*k**2 - 7. Calculate 7*a(l) - i(l).\nAnswer: 35*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 60148*z. Let x(y) = -9*y**2. Give r(x(q)).\nAnswer: 162*q**4 + 541332*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*(sqrt(832) - 5*(sqrt(832) + -1)))**2 - (sqrt(91) + (sqrt(91)*-2*-4 + sqrt(91) - sqrt(91)))\/sqrt(7)*4*-5.\nAnswer: -2700*sqrt(13) + 120029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12078)\/(-468) + -26)\/((-15)\/4).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 19*x. Let n(u) = 3*u - 7141. Calculate a(n(h)).\nAnswer: 57*h - 135679","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 117 = 2*l - d, d - 113 = -5*l. Suppose 17 = -5*f - l. What are the prime factors of (0 - 0) + (f - -22)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5 + 114\/15 + 2. Let u be 25\/y*-2 - -8. Suppose g = -5*c + 2495, u*c - 2*c + g - 499 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + u + 0*u)*(2 - 2 - u**2) + 4*u**3 - 2*u**3 - 4*u**3 - 4*u**3 + 4*u**3 - 4*u**3 + (0*u - 3*u + u)*(-5*u**2 + 3*u**2 + u**2) + u**3 - u**3 + u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -120, -124?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4800)\/560*-2*217. Let m be (5\/(-40))\/((-15)\/i). Solve -17 = -f + 4*r, -10*f + 5*f + 2*r = -m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1430288.\nAnswer: 2, 89393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 2*p**2 - 2*p + 1. Let u be 1 + -2*(-3)\/6. Suppose -u + 3 = l. Determine g(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 2*k + 2, 5*k - 5 = 3*b - 8*b. Suppose b = 5*n - 2 + 12. Is 4 a factor of ((-10)\/5)\/(n\/19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729 is divided by 1 + (-5033)\/(-14) + 42\/(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-24)*104\/91?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1560 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143 and 40183.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 30 = -8*c. Suppose 2*l = -n - c, 0 = 4*l - 5*n - 4 - 4. Let f be (-9)\/(-10) - 1\/2. What is the nearest to f in -1, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 2:06 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2122*g - 11 = -3*j + 2121*g, 2*g + 18 = 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 12 - 13 = 3*s, -8*j + 5*s + 45 = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*o**2 + 65*o**2 - 9*o**4 + (3*o**4 - 6*o**4 + o**4)*(0 - 3 + 1) + 48*o**2 - 55*o**4 - 126*o**2 - 33*o**3 + 78*o**2.\nAnswer: -60*o**4 - 33*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3935 is divided by 149.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 97*u + 2450 - 8173. Let j = 13 + -69. Let r = j + u. Solve -4*o - b + 3*b = 24, 5*o - r*b = -31 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81393809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93335761 to the nearest integer?\nAnswer: 9661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + o**2 + 5*o + 4 + 2*o. Let x = 6 - 2. Suppose 8 = -u + x. What is g(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/(-18))\/(2\/33). Solve -j + 4*c + 0*c = q, -4*c + 10 = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**3\/3 + 3*x**2\/2 - 4*x. Is d(-5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686001 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2375494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2)*m*m)\/m**(2\/9)*(m**(1\/4))**(-45) assuming m is positive.\nAnswer: m**(-377\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1970445.2 take away 4188?\nAnswer: 1966257.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**3 - 388*x**2 - 2553*x - 127. Give u(-7).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*p - 5*i, 19 = -2*p + 5*i + 5. Let w(m) = 10*m - 2. Let y(o) = 3*o. Let q(l) = p*w(l) + 7*y(l). Determine q(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 605 (b) -1.35 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-244186)\/(-14710) - (-12)\/5.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.28377022 and -0.5.\nAnswer: -0.14188511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11, -4, -8 in decreasing order.\nAnswer: 2, -4, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13807.4 - -13807. Which is the third smallest value? (a) 4 (b) v (c) -54\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 - -2010113103331?\nAnswer: 2010113103230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 10:16 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 738596086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3705 from 1437689.\nAnswer: 1433984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 114, 95, 50, -33, -166, -361?\n\"Answer: -2*z**3 - z**2 - 2*z + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3962964 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.009801 from -38.\nAnswer: -38.009801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1, 571788.2, 54?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 7. Let b(x) = 4*x - 34. Determine 3*b(t) + 14*z(t).\nAnswer: -2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by -591.\nAnswer: 30\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**3 - 95066972*a**2 - 564858120361532*a - 564858025294564 = 0?\nAnswer: -11883371, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10787, 18611, 26435?\nAnswer: 34259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-3))\/((-3)\/9). Let m(j) = -j**2 - 6*j - 4. Let d be m(f). Suppose d*h = -t + 336, -21 = -h + 4*t + 46. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/11)\/z**(-5\/6))\/((z\/z**3*z)\/((z\/(z\/(z*z**(1\/9))))\/z)) assuming z is positive.\nAnswer: z**(421\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8799647ml in litres?\nAnswer: 0.0008799647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v - 4. Let w be b(-8). Let n = w + -39. Let l = n - -107\/4. Is 0 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a - 20*a**3 - 102*a + 41*a**3 - 15*a**3 - 58 - 8*a**3 as o*a**2 + k + f*a**3 + p*a and give k.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -531 divided by -59.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 96*w - 36. Determine o(93).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u + 114. Let q be n(-27). Suppose 0 = -3*r - o + 3, -16 = o - 19. Sort 14, q, r, -2\/9.\nAnswer: -2\/9, r, q, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -49. Suppose -2*a = -v - 9. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382 = -26*x - 96 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140868 and 387?\nAnswer: 140868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9835800029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29704 divided by 8.\nAnswer: -3713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4832095 - 103.51?\nAnswer: -4832198.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107102830098 - 339.\nAnswer: -107102830437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 5*d**2 - 2*d + 2. Let t be x(2). Let b be (0 - t)*12\/(-10). Suppose 5*c - 3*z + b = 41, 4*c - z = 19. Solve -c*k - k = -20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from vkgokqxx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j - 6. Suppose -g - 11 + 13 = 0. Let n be m(g). What are the prime factors of 27\/n*10\/3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62583 is divided by 20842?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 6 = -3*d, -6 = 33*w - 30*w + d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 12:58 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/9 and -22\/65090565.\nAnswer: 65090565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 + 116*m**2 + 104. Let i be h(-58). Let z(j) = j**2 - 5*j + 7. Let v be z(5). Determine c, given that 102*c**2 - 3*c + v*c - i*c**2 + 4*c = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**3 + 16*f**2 - 2*f - 1. Give l(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1537*c**2*l**2 + 10851063*c**2 + 298*c*l**2 with respect to l.\nAnswer: 3074*c**2*l + 596*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 27 + 8 + 15)*(6*w - w + 0*w) in the form h + f*w and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 5*p - 3*p. Let o(k) = -4*k**2 + 11. Let l(b) = -2*b**2 + 6. Suppose -6 = -j - 0. Let d(q) = j*o(q) - 11*l(q). What is t(d(w))?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 934*a + 23334 = 115800 for a.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, c: 1, z: 2, v: 1}. Give prob of picking 1 z, 1 v, and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssrmdrrdsdrsrd. Give prob of sequence dr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62792 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 49*i - 240. Calculate s(-6).\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 <= -381\/20812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 2*i + 10*i + 20. Let b(m) = -2*m - 7. Determine -17*b(k) - 6*w(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 937439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 462 and -353.55.\nAnswer: -163340.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2860 + -2840. What is the smallest common multiple of 910 and d?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 363 + -280. Suppose r = 6*n + 59. Solve q + 4*g = 9, g + 5 = -4*q - n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*sqrt(100)*5)\/sqrt(4))\/(-6*(sqrt(320) + sqrt(320)*3 + sqrt(320)) - sqrt(320)))**2.\nAnswer: 1125\/15376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, 1\/2, -2, 5, -5, 17 in ascending order.\nAnswer: -5, -2, -2\/27, 1\/2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 183021661?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -464.7793 - -490.778. Let a = q + -26. Round a to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*m + 2*m - m)*(0*m**3 + 0*m**3 - 4*m**3) + 1443*m**3 - 2*m**2 - 1557*m**4 - 1443*m**3 to a*m**2 + b*m**4 + r + w*m + o*m**3 and give b.\nAnswer: -1537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-1 + -4 + sqrt(176) + sqrt(11)*-1*6 + sqrt(11))*1 + -4) + -1)**2.\nAnswer: 660*sqrt(11) + 3421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, 4071, 0, -1 in descending order.\nAnswer: 4071, 85, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8708744 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 7:35 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 - (0 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(931)).\nAnswer: -35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -2. Suppose -k - 3*i = -6*k - 40, 0 = -v*k - 3*i + 5. What is the nearest to 1\/2 in -1\/2, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d20a4c (base 16) in base 6?\nAnswer: 1211011432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**3\/6 + r**2\/2 - 3*r. Let f(u) = 3*u + 5. Let n(y) = -f(y) + 4*h(y). Differentiate n(j) with respect to j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*l + 3924 - 7374 = 0 for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 206107761 + 5?\nAnswer: 206107766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 2*d**2 + 4*d**2 - 16 + 3.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**2 + 13*r**2 + 11*r**2.\nAnswer: 35*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 1597, -19, 0 in descending order.\nAnswer: 1597, 0, -19, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 v when four letters picked without replacement from jvvvjjj.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(56\/(-16) - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c - 96. Let r(j) = 4*j + 193. Determine -3*r(b) - 7*y(b).\nAnswer: 2*b + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 27 - 7. Is l\/(4\/(-820)*-5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -166.572 + -2.508. Round j to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15596, 1, 2, -798 in increasing order.\nAnswer: -798, 1, 2, 15596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 321 + -221. Calculate the greatest common factor of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 24735863?\nAnswer: -3\/24735863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/((-4)\/(-80))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1052 + 2380. Suppose -25*l = -21*l - j. What is the remainder when l is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) -4 (c) 3830 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 180*c - 166*c + 70 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26c - -37?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 5*r - 45, 25*r + 72 = 5*b + 26*r. Solve 0 = 3*z + 39*i - 43*i + b, 0 = 2*z - 2*i + 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 10:41 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 3. Suppose 0 = 5*a - 8*a + 15. Calculate the smallest common multiple of 14 and p(a).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97160 and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3))**(2\/13)\/(r*r*r**(2\/9)*r\/r**5))\/(r\/(r**(-2\/11)\/r)*r**(4\/9))**(1\/7) assuming r is positive.\nAnswer: r**(4058\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -10*s - 214. Determine n(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 13. What is the highest common factor of 84 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 414494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 144 - 342?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -1283, -3400, -6363, -10172, -14827?\nAnswer: -20328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x**2 + 3 - 3)*(-4 + 4 + 2)*(7 + 4 + 14).\nAnswer: 350*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 557*c - 2139 + 12722 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + (3 + sqrt(68) - sqrt(68))*-2 + 0 + 6*(-2 + sqrt(68) + 1)))**2.\nAnswer: -2376*sqrt(17) + 23121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*c + 5 + 13 = 0, 8 = -2*m - 3*c. Solve f - m*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/(f**(1\/10)\/f)*f*f*f)*f)\/f)\/f**(-7)*(f\/(f*f*(f**(-1\/7)*f)\/f*f))\/f**7 assuming f is positive.\nAnswer: f**(-473\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from furskee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, b: 5, k: 6, r: 4}. What is prob of sequence br?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h**3 + 51*h**2 + 100*h + 524. What is u(-5)?\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*b - 3*a, 2 = 3*b - 2*a + a. Let i = 892\/35 + -126\/5. Determine f so that i + 2\/7*f**b + 4\/7*f = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*k - 236 - 29 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1321, 1322, 1323, 1324?\nAnswer: 1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 572603 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + k**2 + k - 1131151. Let a be n(0). Let v = a - -1914562. Let r = v - 3683411. Round r to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*6*((sqrt(80) + 5*(sqrt(80) - (3 + sqrt(80))))**2 + sqrt(80))*6.\nAnswer: -197640 + 75168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (6 + (-12 - -6)). Sort t, -5, -14 in decreasing order.\nAnswer: t, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -36*o + 70. Determine t(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2771216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15\/8 + 173\/88. Put v, 3, -24, -4 in descending order.\nAnswer: 3, v, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - 1)*(-4)\/7*(-111)\/(-370).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11019.3 minus 25285?\nAnswer: -36304.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**2 + 4*k - 6*k - k**3 + 2*k - 3*k. Let h be l(4). Suppose -4*p - 20 = -4*i, 4*p + h = -5*i + 29. Solve -2*c - 3 = -u, i = 4*u - 4*c + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*z + 57*z = -1. Is -3\/4 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, r: 4, b: 3, m: 2, d: 1}. What is prob of sequence mmlr?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (45\/(-4))\/((-77)\/(-22)) and -1*(-24)\/(-40) - 1082\/180?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/1 + ((-96)\/168)\/(8\/(-28))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*n = 126*n - 35. Put -2, -1, 4, n in decreasing order.\nAnswer: 4, n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 210\/11 (b) 0.4 (c) -1\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -10*w + 45 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13079 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: Solve 2*n + 2*n = 3*v - 4, -2*n + 12 = 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lklw when four letters picked without replacement from kwtwtlwtvtltlz?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1 = -25. Let x = s + 18. Put x, 1, -3 in decreasing order.\nAnswer: x, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(135\/40)*(-6)\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2419 divided by 59?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*k**3 - 46*k**2 - 30*k**5 - 330*k**2 + 33*k**5 wrt k?\nAnswer: 180*k**2 + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41356, 83700, 126044, 168388, 210732?\nAnswer: 253076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -10 - 11*j + 7*j + 3*j + 0. Let v be z(-12). What is the units digit of (v*-2)\/2 + 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/7, -3, 0.01, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4427, 0.5, 0.07 in decreasing order.\nAnswer: 0.5, 0.07, -4427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 484130, 968246, 1452362, 1936478, 2420594?\nAnswer: 2904710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466497 is divided by 7020?\nAnswer: 3177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((547 + 25*v - 547)*(-4 + 4 - 1) + (0 - 2 + 3)*(-3 + 2*v + 3))*(4*v - 5*v - v) to the form c*v**2 + l + w*v and give c.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404 - 404 - 3*a**2 - 723*a.\nAnswer: -3*a**2 - 723*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8476666t in milligrams?\nAnswer: 847666600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:05 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - (-4 + 1))\/(-2). What is the first derivative of 6*a**2 + 0*a + 7 + v*a + 4*a**2 wrt a?\nAnswer: 20*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + u**2 - u. Let d(w) = 4*w**3 + 7*w**2 - 5*w. Let i(l) = -l**2 + 4*l + 31. Let m be i(8). Determine m*d(j) + 6*s(j).\nAnswer: 2*j**3 - j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5*11 + 22\/(-2) is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1865*o - 38525 = 1290*o for o.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6529, -6621, -6713, -6805, -6897, -6989?\n\"Answer: -92*n - 6437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182229, 728914, 1640049, 2915634, 4555669, 6560154?\nAnswer: 8929089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44\/462 + 69\/(-63). Let c = -4.6 - -4.1. Put l, 0, 2, c in increasing order.\nAnswer: l, c, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1556934.\nAnswer: 2, 3, 41, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkccnvccccccnccncvvc. What is prob of picking 1 c, 1 n, and 1 k?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 24 = 8*p + 2*c - 40, -16 = -3*p - c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -242 + 242 + 131*u + (-3*u - 2*u + 7*u)*(-1 + 2 + 0) to the form p*u + g and give p.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 6*p - 3*p)*(2*p - p - 3*p) + (17 - 3 - 1)*(-2*p**2 + 2*p**2 - 2*p**2) + 2*p**2 + 0*p**2 - 3*p**2 as o + x*p + a*p**2 and give a.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 115233 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: Let s be (-102)\/14 - 2\/(-7). Let z(l) = -l**3 - 8*l**2 - 7*l. Let t be z(s). Let f(v) = -v + 6. Determine f(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*l - 2*c + 374, 3*l = -2*c + 234. Suppose -l + 370 = 6*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/10 and 3 - -10*(-20)\/(-96)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 10*k - 10. Let a(d) = 3*d - 6. Let b be a(9). Let l = b + -14. What is the units digit of m(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 408644 - 193347. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91545208?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3\/11 - 6434*y**2\/11 + 9660*y\/11.\nAnswer: -2*y*(y + 1610)*(2*y - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**5\/9 - 602*w**4\/9 + 6146*w**3\/9 - 22894*w**2\/9 + 12416*w\/3 - 2488 = 0.\nAnswer: -311, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-378)\/(-48) + (-1701)\/(-8424).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4576871?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-2))\/(133\/14 + -9). Solve 0 = 4*l + 3*c - 25, -a*l - 2*c + 12 + 2 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16544 or -16186?\nAnswer: -16544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a gram in milligrams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34, -35, -44, -67, -110, -179, -280?\n\"Answer: -g**3 + 2*g**2 - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -390 (b) -3 (c) -149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**13))\/k*k**(-8\/9)\/k)\/((k\/(k*k*k*k**22))\/(k*k**3)) assuming k is positive.\nAnswer: k**(343\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/4769 and -89\/3765?\nAnswer: 71535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/(-12)*(-9 + 19434\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 9. Let d be h\/(-28) - 211\/(-7). Suppose -d*q + 24*q + 546 = 0. Calculate the highest common factor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqq. Give prob of sequence qvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, u: 2, r: 2, c: 6}. What is prob of picking 1 c and 3 a?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -51*s**5 - 819*s**4 - 3312*s**3 - 192*s**2 = 0.\nAnswer: -8, -1\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -198, -4, 0, -5, -2 in increasing order.\nAnswer: -198, -5, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 6 - 2)*(-451*d + 32886 - 32886) in the form j + i*d and give i.\nAnswer: -2706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.1 (b) 1 (c) -0.5 (d) 128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 + 2*x + (3*x - x - 3*x)*(3 - 3 - 4) + 4*x + 2*x - 10*x to m*x + z and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/(-12))\/(1\/2). Let m = 4 - 0. Sort m, 3, j.\nAnswer: 3, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 3*f - 2 + 3*f)*(-5 + 5 - 5*f**3).\nAnswer: 10*f**4 + 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 2*s**3\/3 - 3*s**2\/2 + 3*s - 1. Does 12 divide k(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36883099?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 6:24 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -23. Let s(z) = 2*z**3 + 7*z**2 + 12*z - 11. Let c(d) = d**3 + 4*d**2 + 6*d - 5. Let u(p) = -7*c(p) + 3*s(p). Calculate u(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v + 3*b + 23 = 0, -5*v - b = 15. Let i(m) = 4*m + 2. Let p be i(v). Let w = 12 + p. Solve 10 = -o + w*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 189 or 191?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4385 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-6))\/(358\/(-537)). Put o, 5, 4, 3, 1 in ascending order.\nAnswer: o, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -15*d + 17*d + 14, -2*d - 23 = 5*m. Sort 5, d, 4, 7.\nAnswer: d, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/12)\/(((-52)\/312)\/((-3)\/2)). What is the third biggest value in 2\/5, -3\/7, k, -30\/23?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100048422?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329\/10*o + 1\/10*o**3 + 13\/10*o**2 + 1323\/10 = 0. What is o?\nAnswer: -27, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -31*o + 14*o + 8*o + 8*o. Let k(h) = 11*h**2. Give k(j(c)).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5*c + 35, 68 = 4*r - 0*c - 4*c. Let j(a) = r + 4*a**2 - 12. Let u(v) = -2*v**2. Determine u(j(d)).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*i**5 + 2*i**3 + 28*i**2.\nAnswer: 600*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84226.35 centuries in decades?\nAnswer: 842263.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*l + 64 = -86*l. Suppose -35820875 = l*c - 14744875. What is c rounded to the nearest one hundred thousand?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.54 + -7.537594. Round r to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e1d + -13?\nAnswer: e0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(252))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 8 + 8. Let q be (9 - (3 + -1))*1. Let z = q - -2. What is the remainder when z is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*z**2 + 148*z**2 - 1070706*z + 1070706*z - 82*z**2.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**3 - 5*u**2 + 13*u + 13. Let d(m) = -7*m**3 - 11*m**2 + 29*m + 26. Let b(l) = 3*d(l) - 5*t(l). Give b(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yunyyunnnununnnny. Give prob of picking 1 u and 1 y.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*y + 6261 - 16917. What is the remainder when y is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -765410 by -153082.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74855 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36829 + 1496738. Suppose m + m - 5*n - 1022399 = 0, 3*m = -3*n + p. Let w = 291192 - m. Round w to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373 = -x + 2*w, 3*x - 1040 = 3*w + 64. Are x and 364 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -660, -2359, -6132, -13017, -24052, -40275?\nAnswer: -62724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18990.57 and -0.6.\nAnswer: -11394.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01489121541 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 134*m - 133*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4*q + 15 = -10, 3*g = 4*q - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3961*l**3*v**2 - 10*l**3*v - 288*l**2*v**2 - 157 wrt l.\nAnswer: 23766*v**2 - 60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 247621.\nAnswer: 1980968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -154, -47, 74, 209?\n\"Answer: 7*u**2 + 86*u - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -4, -1\/6, 1.1, 5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 916*j**2 - 166*j + 1. Is t(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 + 8*v - 26. Let z be f(7). Suppose t + t - z = 0. Let c = 94 - t. Calculate the greatest common divisor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 6*o**2 - 9*o + 4. Determine r(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*3\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (77\/10)\/7. Let n be (-3)\/(-2)*(-28)\/(-6). Let p = -5 + n. Sort p, -1\/4, q in ascending order.\nAnswer: -1\/4, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*f + 7 = 0, 2*p + 4*f = -0*p - 6. Suppose -2*o - 10 = -5*g, 2*o + p = g - 5. List the prime factors of 87\/15 + (-1)\/o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175 and 24103975.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-56)\/140 + 0 + 0. What is the closest to -2\/5 in -21, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6 - -1)*(-4)\/10 and 280\/(-24)*2\/(-30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/35)\/((-10)\/(-25))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u**3 + 2*u + 5. Let o(x) = -x**2 + 1. Let f(d) = -b(d) + 3*o(d). List the prime factors of f(-2).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1987*i - 1 = -1986*i. Let o(u) = 2*u**2 - 5*u - 1. Let c(q) = -q**2 - q. Calculate i*o(k) + 5*c(k).\nAnswer: -7*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 16\/(-4) + (-63)\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20498 + -1541. Let v = 132999\/7 - d. Suppose -120\/7*s + 16\/7 + v*s**2 - 250\/7*s**3 = 0. Calculate s.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -102) + -5 + 1. Let i = d + -152. Let y be 2\/(-9) - 174\/i. Calculate the highest common factor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102785.415 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3182690466 - 0.1.\nAnswer: -3182690466.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 14 - 54 = 0. Let h be 0 + x - (-6)\/3. Let p = -4 - h. Calculate the smallest common multiple of p and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -53002*o. Let r(a) = -3*a. Calculate r(p(m)).\nAnswer: 159006*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*b - 130, 5*b - y - 3*y = -308. Let v be 24\/b + 4\/10. What is the common denominator of (-3 + v)\/(48\/15) and -43\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**6\/120 - q**5\/24 - q**4\/2 + 11*q**3\/3 + 2. Let p(a) be the third derivative of n(a). What are the prime factors of p(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 432*q**2 + 458*q + 1. What is m(2)?\nAnswer: 2645","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 27841818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**2 + 190*q - 4. Let m(d) = 33*d**2 - 1899*d + 42. Calculate 2*m(l) + 21*n(l).\nAnswer: 3*l**2 + 192*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.056 + -0.856. Let w = k - 36.2. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Let w(j) = 72 - 77 - 5*j**2 - 4*j - 2*j - j**n. Give w(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 42806, 85814, 128822, 171830?\n\"Answer: 43008*v - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.1 from 0.0387.\nAnswer: 4.1387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20343.78kg in nanograms?\nAnswer: 20343780000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -9542218724.\nAnswer: -9542218723.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -7.28549153.\nAnswer: 7.38549153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 804 + -1394. Let p be (-1)\/(1768\/z + 3). Find the common denominator of 7\/10 and p\/30 + (-2)\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 350? (a) 277 (b) 0.08 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7813 - 3a96?\nAnswer: 3939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243 and 6052590.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -737908360 divided by 4.\nAnswer: -184477090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 8)*(6 + 1 - 3)*((-o**2 + 5*o - 5*o)*(5 - 2 - 1) + o - o + 6*o**2).\nAnswer: 80*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8948 - 125189\/14. What is the common denominator of c and (-1604)\/280 - (-2)\/(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 2*j + 32. Let w be t(0). Let a(l) = 6*l**2 + 4*l. Let f be a(-3). Let v be f\/5 - 6\/15. Calculate the highest common divisor of w and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + (-2 - 0))\/(-3). Suppose 3*t + b*t = 6, -3*j + 2*t + 290 = 0. What is the highest common factor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174908?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -54. Let m = o - -46. Calculate the remainder when 38 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -43. Let r = -14 + w. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617996716?\nAnswer: 2, 17, 1949, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091 + -1084 - (17 - -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + 58. Which is the nearest to m? (a) 1\/29 (b) -1 (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 844226*r - 421865*r - 421632*r.\nAnswer: 729*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 6:18 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 862.1084km?\nAnswer: 862108400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 1 - 142. Let n be z\/(-12) + (-3)\/(-12). Let m be 5 + 3 + 3 + 0. Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 967 + 543?\nAnswer: 12aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/2))**(29\/2))**15*(n*n**(-3)\/n)\/(n\/(n**2\/n*n)*n)*(((n*n**(-2\/5))\/n)\/n)**21 assuming n is positive.\nAnswer: n**(-7173\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**2 + 0 - 8*p + 5\/3*p**3. Differentiate v(h) wrt h.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133004 = 21*k - 82855. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 22. Solve 0 = q + a - 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s + 17*h = -46*h + 67*h + 84, 2*s + 12*h = 28 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 - (-98 - (36 + -29))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 32. Suppose 3*b + 0*b - 4*w = 17, a = -5*w + 20. Suppose -6*t = -8*t + 64. Calculate the remainder when t is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-8 + 6) - (4053 + -1). Let z = -1905 - w. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9599 - 9598.87. Sort -4, a, -33, 3 in descending order.\nAnswer: 3, a, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -25\/3*q**3 + 0*q - 3\/2*q**4 + 0*q**2 + 21. What is the third derivative of u(j) wrt j?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123*1.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 + 5*m - 11. Let c be w(13). Let v = c - -1985\/7. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - 471\/(-3) - 1. Let x = 151 - p. Solve -3*h = -x*h - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w + 1. Let a be r(-4). Let l = a - -7. Let x = 5 + l. Is x less than 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**4 - 2*t**3\/3 - t + 2. Suppose -4*k = 4*j - 2*j - 4, -2*j + 12 = 0. Give a(k).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2736) + 3 - sqrt(2736).\nAnswer: 3 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -5*j - 19, -j - 14 = 3*b - 15 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 11:32 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r + 0*r**3 - 10 + 0*r**2 + 7\/4*r**4. Determine z(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(4\/13)*o**(-10))\/(o*o**(-5\/2)*o*o**(-3\/7)\/o) assuming o is positive.\nAnswer: o**(-1231\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -531*h + 18084 = -520*h. Suppose 5*a = 1991 + h. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-16)\/(-56)*-7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 5*h + 243, -550 = -5*x - 3*h + 2*h. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144 + 218. Let g = k - 73. Let z be 1\/3 - 3\/(-9). What is the third smallest value in g, z, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61160 (base 7) to base 4\nAnswer: 3213320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*w + 132*w + 139*w - 25*w in the form u + b*w and give b.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n + 0*n - 2*n - 3*n + 3*n - n + (3 - 7 + 3)*(0 + 2*n + 0) + 4 - 6*n - 4 to t*n + y and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-21)*(24 + (-9)\/3). Suppose -3*t + c*t = 60. What is the remainder when 75 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*i - 5*i + 19 = 0, -4*j + 3*i - 23 = 0. Let r be (-3)\/j*138\/3. What is the units digit of r - 3 - (0 + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -73 and 0.08513.\nAnswer: -72.91487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, y: 1, z: 3}. Give prob of picking 1 c and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2. Let x be w(-1). Suppose -x*y = -122 + 16. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*y**4 - y**3 - 45771*y**2 + 3797056*y wrt y.\nAnswer: 444*y**2 - 6*y - 91542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l = -25*l - 9. Suppose 0 = 5*d - l*p - 501, -8*p + 5*p - 303 = -3*d. Calculate the least common multiple of 22 and d.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -294 + -7?\nAnswer: -29b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-5))\/(3\/(-15)). Let m = 1 - p. What is the common denominator of -22\/9 and -2 + m + 121\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -40 + 40 + -10 - 39?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/446000 and -89\/2080.\nAnswer: 11596000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**3\/4 - 53*p**2\/4 - 215*p\/2 = 0.\nAnswer: -43, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.2 - 0.5. Let t = -16561248.7000044 + 16561246. Let l = t - m. What is l rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/274 and 36\/685.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.373762 plus 0.4?\nAnswer: 0.773762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lslsl. Give prob of picking 1 s and 3 l.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(102) + (-2*sqrt(102) - sqrt(102))*-3 - sqrt(102))*-3)\/(sqrt(240)\/sqrt(10)*3).\nAnswer: -9*sqrt(17)\/2 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -756 divided by -12?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459 take away 4.691?\nAnswer: 1454.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-12)*-20 + 6\/1. What is the third biggest value in 13, -1, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -215.7 + 228. Let k = -6 + 18. Let s = k - h. Is s less than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, v: 7, z: 5, s: 3}. Give prob of sequence vz.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 731*c**3 - 300*c**2 + 156*c**2 - 735*c**3 + 150*c**2.\nAnswer: -4*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -168*k**2*t**2 - 2*k**2*t - k*t**2 + 88*k wrt k?\nAnswer: -336*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1798800 divided by 11992?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w - 42, 3*p - 712276 = -2*p + 3*w. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from rrrrdcirirrirrirr?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - i + 4. Let a be v(0). Suppose -4*b - 3*h + 96 = -2*b, 0 = -4*b - a*h + 188. Let x = b - 30. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138245746?\nAnswer: 2, 2467, 28019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*w + 22. Suppose c = 3*g + 14, -4*c - 3*g + w = -1. Calculate the remainder when 30 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -461824 by 20992.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2980*y**2 + 3113*y - 3. Let j(d) = 2982*d**2 + 3118*d - 4. Let n(l) = -3*j(l) + 4*z(l). What is the second derivative of n(h) wrt h?\nAnswer: 5948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*n**2 + 18*n**2 - 11*n**2 to the form s + m*n**2 + x*n and give m.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z - 14 - 36. Is z > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 430, 685, 940, 1195, 1450?\nAnswer: 1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x. Let p(o) = -176*o**2 - 99*o. Let w = 221 - 320. Let k = -13 + 17. Let d(l) = -7*l**2 - 4*l. Let y(s) = k*p(s) + w*d(s). Give v(y(b)).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -7 (c) 1\/7 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5756, -5697, -5638, -5579, -5520?\nAnswer: -5461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -5*n + 3*q - 15, 25 = 5*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 50 - 49 = -4*m, 3*m - 4 = -f. What is the highest common factor of 275 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4284914 is divided by 713991.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -230eb + -2969?\nAnswer: -25a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysyyhhyshysyy. What is prob of picking 2 y and 1 s?\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -246 - -481. Let h = y - -18. What are the prime factors of h?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13186*-0.25598\nAnswer: -3375.35228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a decade in months?\nAnswer: 1104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300745 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 7:16 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6193551.48 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**3\/6 + 6*o**2 - 7324*o. Let y(f) = 6*f + 60. Calculate -11*b(w) + 2*y(w).\nAnswer: w - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + z + 3*z - 6 = 0, p + 9 = 5*z. Let c be p\/6*14*-3. Let h = 7747 + -7745. Sort h, -1, c.\nAnswer: c, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 150*y - 145*y - 70. Suppose -4*k + 12 = 2*v, -5*v + k + y = 3*k. Find the second derivative of 20*h + 32*h - 67*h + 38*h**v wrt h.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4607 - 4607 - 2799*q + (-1 + 1 + q)*(5 + 1 - 5).\nAnswer: -2798*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -655*v - 400208. Calculate s(-611).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*c + 2280 = 203*c. Let h(m) = 5*m**3 - 2*m**2 + 2*m - 2. Let l be h(3). Let f = l - c. Solve -5*j + f = -14 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 15*u + 7. Let j be y(-14). What is the lowest common multiple of 26 and (1*2)\/((56\/(-32))\/j)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 7*n = -5*n. Suppose n = -3*j - d - 948, 2*d - 112 = -j - 433. Let i be (-8)\/(-36) + (-20)\/j. Which is the nearest to 0.05? (a) 2 (b) 2\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68593, 68552, 68521, 68506, 68513, 68548, 68617?\nAnswer: 68726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 80215804 to the power of 1\/2, to the nearest integer?\nAnswer: 8956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1214583 (base 10) to base 2.\nAnswer: -100101000100001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 + 2298*z + 22988\/5.\nAnswer: -2*(z - 5747)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-3228)\/(-72) - (-2)\/(-12). Is w > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebeezzebebbebbbeez. Give prob of sequence zee.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308530 is divided by 154264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81464 by -4.\nAnswer: 20366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 6566. Let c(g) = -3*g. Determine c(w(m)).\nAnswer: -3*m + 19698","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -14. Let d = s - 9. Calculate the remainder when 10 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-98))\/(2\/(-231)*-11*-3).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 10:09 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*r - 1128*r + 10608 = -529*r for r.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12002 is divided by 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 490*o + 51197. Determine c(145).\nAnswer: 1172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4355282.829 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*2 + sqrt(104))*-2)\/(sqrt(128) - sqrt(128)*2).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7359.301 - 7391.3. Let k = 0.001 - m. Let j = -32.0000028 + k. What is j rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -21, -10, 1, 42 in ascending order.\nAnswer: -21, -10, -4, 1, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -205 + 202. Which is the closest to -2\/7? (a) -2 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*(564\/(-48) - 10\/8). Suppose -63*j = -m*j + 182. What is the highest common divisor of 26 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -572 - -607. Solve -x = -2*f - 43 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2176 + 6526\/3. Let h be -2*(-1)\/(-6)*-1. What is the nearest to u in -1\/4, 0.5, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 3:58 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10825383 (base 9) to base 5\nAnswer: -2322204241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + sqrt(99) + sqrt(99))**2 + sqrt(99).\nAnswer: -9*sqrt(11) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4\/2 + 7345*u**3\/2 + 44310*u**2 + 177560*u + 236960.\nAnswer: -5*(u - 1481)*(u + 4)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5793)\/4 - 1\/(-4). Let n be 2\/(-3) - w\/12. Suppose 0*r - 4*r = -n. Calculate the greatest common factor of r and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h + 21. Let y be u(-7). Suppose -5*t - 10 = 2*s, y*t = -4*t - 8. Solve 5*b + 2*q + 5 = s, -3*b + 5*q = 5 - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14 + 2)*2\/(-6). Suppose 3*l + 7 = a*j - 24, -3*j = -3*l - 21. Let y = 26 - j. Solve 0 = -4*p + y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**2 - 525468*p + 126405464 = 0.\nAnswer: 241, 131126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*m**2 - 86*m**2 - 78*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 65) + -460 + 571?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*h + 115, -r - 69 = 3*h - 0*r. Let f = 82 + h. Does 22 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l - 14. Let j be s(11). Is 41 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6*(-45 - -6). Suppose 5*l = o + 22. What is the smallest common multiple of 3 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -57369, -57643, -57917?\n\"Answer: -274*p - 57095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3 + 1910*m**2 + 3817*m + 1908 = 0. Calculate m.\nAnswer: -1908, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 1185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84003867 is divided by 53?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 209 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 65764, 65658, 65554, 65452?\n\"Answer: m**2 - 109*m + 65872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8543 a factor of 1696005204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61*z + 61*z - 11*z**4 + 10*z**2 - 3*z**4 - 10*z**2 + (-2*z + 3*z - 2*z)*(3*z**3 - z**3 + 0*z**3) - 3*z**4 + 5*z - 5*z.\nAnswer: -19*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 - -86. Suppose b - 42 = w. List the prime factors of b.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-1 - 31\/1). Suppose -246 = 46*m - 338. What is the greatest common factor of m and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yylyuglyllllullyyyl. Give prob of picking 1 u and 1 g.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4937 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-8)*w**(9\/2)*(w**(-1\/4))**(-46) assuming w is positive.\nAnswer: w**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s + 3*j + 2457, -3*j = -3. Suppose -7*a = -12*a + s. Does 34 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 26*r + 61. Let g be k(-29). Suppose 0 = -2*m, -g - 203 = -o + m. What is the highest common factor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5634, -5631, -5628?\nAnswer: -5625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1165, 2\/5, 5, 2?\nAnswer: -1165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8078*h**4 - 1423 with respect to h.\nAnswer: -32312*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -3 + (-7)\/(-4). Put g, -3\/8, 2\/7, -5 in decreasing order.\nAnswer: 2\/7, g, -3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 2*h - 3*i + 1, 4*i = -4*h - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 7408.9826 to the nearest 10.\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from {l: 5, z: 1, k: 1, x: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13371486 by -19839.\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-34)\/(-10) + (-6)\/15. Let d(g) = g. What is d(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 272.09781.\nAnswer: 271.69781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 1:37 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1185, -0.5, 0.1, 0.5 in descending order.\nAnswer: 0.5, 0.1, -0.5, -1185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 22, -1269\/4?\nAnswer: -1269\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 208.6 + 2.1146.\nAnswer: 210.7146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -150786 - -14?\nAnswer: -150772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/10 + 2)\/(1407\/(-84) + 22). Suppose 0*j + 2\/7 - d*j**2 = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12552 - 12410. Solve 10 = -3*d - l, -3*l - o = 2*d - 147 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*f**2 + 30*f**2 - 67*f**2 in the form p*f**2 + u*f + i and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, 1.6, 0.02, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6050 (base 12) to base 16\nAnswer: -28bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*o**2 + 2 - 2 + 14*o**2 as g + r*o**2 + h*o and give r.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -847, -3396, -7645, -13594, -21243, -30592?\n\"Answer: -850*m**2 + m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.082 + -51.082. Let t = -51.00035 - h. What is t rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676993395 to the power of 1\/2, to the nearest integer?\nAnswer: 51740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -12.2?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7823091530955+2\nAnswer: 7823091530957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 0) + 0 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -3, 20, -184, -123 in decreasing order.\nAnswer: 20, 0, -3, -4, -123, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.999 to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 215731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 262 - 1092 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 18.15, -7\/6, 4, -3\/2?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*z - 20, 5*z = 2*t + t - 40. Suppose -3*q = 5*h - 34, 0 = -t*h + 10*q - 7*q + 46. Solve -h + 0 = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 7:30 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 4*i + q, 8 - 60 = -2*i - 3*q. What is the remainder when i is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*m + 196*m = 5, 5*m = -z + 266. What is the remainder when z is divided by 67?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103 + 339. Let j = n + -234.99. What is the third biggest value in 2\/9, j, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + 16*t**3 - 2*t**3 + (t**2 + t**2 - 3*t**2)*(-4*t + 2*t + 3*t).\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 2*c - 2. Let s(h) be the first derivative of 14*h**3 - 7*h - 12*h**3 + 9 + 6 + 3*h**2. What is 2*s(y) - 7*w(y)?\nAnswer: -2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29336 - 46394 = -954*m + 6314 for m.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {j: 2, x: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v + 18. Let c = 7 - v. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -89635.\nAnswer: -3\/89635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 14162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3098\/167 at most -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -100 (b) 20.9 (c) 4 (d) 5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -272 + 307. What is the third derivative of -b**2 - 128*b**3 + 79 - q - 29 wrt b?\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + -42. What is the smallest common multiple of (-9)\/(189\/g)*(-21)\/(-6) and 25?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdg when three letters picked without replacement from {g: 3, d: 1, t: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-3 - -5) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6 + (-36)\/8)*100\/3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25, 44, 65, 88, 113, 140?\n\"Answer: s**2 + 16*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -745*t + 33920. Determine f(46).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12 - -2)*(-1)\/(-2)*-4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 360.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*g + 16 = 0, -2*f + 4*g - 16 = -3*f. Let j(x) be the first derivative of -1\/3*x**3 + x - 2 + f*x**2. Differentiate j(u) wrt u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 - 32. What is the least common multiple of 6 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 z when three letters picked without replacement from {k: 1, h: 1, j: 1, b: 2, z: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**2 + 19*z + 26. Let v be c(-2). Solve 3*m + 9*q - 8*q - v = 0, 3*m + 4 = 5*q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -11*o**2. Calculate l(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2050742?\nAnswer: 2, 173, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -1417 + 3*v - 1415 - 2*v + 2831. Let u(n) = -17*n - 1. Determine 2*r(h) - 2*u(h).\nAnswer: 36*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.705 - -11073.\nAnswer: 11073.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 j when four letters picked without replacement from jreerjtjrjt.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(18\/34) + (-52)\/468\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a70a91 + -4?\nAnswer: a70a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4 - 226*a**3 + 13284*a**2 - 207360*a + 1007424 = 0 for a.\nAnswer: -159, 12, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 78 + 2)*(3 + 1 - 1)*(a + 2*a**2 - 2*a**2 - 2*a**2)*(4*a - 6*a + 0*a).\nAnswer: -1008*a**3 + 504*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618*v - 62600 = 2280*v + 465*v - 233*v for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 111?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -235 + -94a?\nAnswer: -1084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**5 - 320*y**4 + 8704*y**3 - 84032*y**2 + 75712*y + 562432.\nAnswer: 4*(y - 26)**3*(y - 4)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 4*q**2 - 3*q - 7. Let o be c(5). Suppose -12 = -4*k + o*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 + 37 - 13) + (0 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 175301377177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, 41449\/2, 3\/5?\nAnswer: 41449\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*v + 61*v - 2517 - 3125 = -105*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1756125um in kilometers?\nAnswer: 0.0000000001756125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 225 - 221. Let c(b) = -b**2 + 4*b + 3. Let o be c(4). Suppose o = -5*t + u*t. Which is smaller: t or -5\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*g - 14*g - 2 - 35*g + 49*g.\nAnswer: -142*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23756 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 2*p. Let n(a) = 6*a**2. What is g(n(j))?\nAnswer: -36*j**4 - 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68782 is divided by 22925.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1782 and 3?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + ((-4)\/6)\/(13*7\/(-273)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 5)*(0*l + 0*l - 3*l) - 169*l - 446 + 446 in the form a*l + k and give a.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 1695*j + 17250.\nAnswer: -3*(j - 10)*(j + 575)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8913 + 8920. Let n(u) = 8*u - 19. What is n(i)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -5, 2, -74.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d - 22 - d**2 - 6*d + 35 - d**2 as u*d**2 + z + w*d and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9867*t**2 - 1571 - 1326 + 9869*t**2 to the form q*t + u + x*t**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + -18. Let b = u - 10.9. What is the biggest value in b, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -14 + 2 + -1 + 3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 28. Let i be v(11). Suppose 0 = 3*w - i + 2. Sort 3, -1, w.\nAnswer: -1, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3)\/(n*n**(-6)))\/((n*n**(-7))\/(n*n\/(n\/(n*(n*n**(-1\/2)\/n)\/n)*n))) assuming n is positive.\nAnswer: n**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*o - 3 + (0*o + 2*o - 3*o)*(1 + 2 - 2))*(1 - o - 1).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3400 is divided by 1863?\nAnswer: 1537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2209951 or 2209952?\nAnswer: 2209952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/3069 and 47\/4950?\nAnswer: 153450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-2))\/(2 + -3). Let z be 1\/(p - (-1)\/(-2)). Let y be z - 4\/((-2)\/1). Solve n - 2 = -a - y*n, 3*a = 2*n - 19 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - d + 25 = 0, -d = w + 2*d + 2. Suppose 3*n + 4 = w*n. Let o = 57 - 54. Is n < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - s**2 + 11*s - 23. Is c(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 0 - (1 - 12). Let y = m + -9. Solve 2*v = y*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**4\/4 + 11*i**3\/3 - 5*i**2\/2 - 5*i + 1. Is k(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 16, 25?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, m: 1, n: 1, r: 6, z: 2}. Give prob of picking 2 r and 1 m.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 2. Let t be v(8). Let p(b) = -b**2 - 5*b + 3. Let i be p(t). Let d be 6\/33 - 46\/11. Sort i, -1, d in descending order.\nAnswer: -1, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47\/2 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 55\/74168 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 4. Let n be b(7). Suppose 3*z - 93 = -n*w, z + 5*w + 34 = 3*z. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/75710 and -11\/1287070?\nAnswer: 1287070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 32 - -1076480261\nAnswer: 1076480293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -497, -3696, -12371, -29258, -57093, -98612, -156551, -233646?\n\"Answer: -456*u**3 - 2*u**2 - u - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1226, 1228, 1230, 1232, 1234, 1236?\nAnswer: 1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 4, r: 1, k: 1, d: 5}. What is prob of picking 1 r and 1 k?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 54 - 4?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -3 (c) 0 (d) 29 (e) 2 (f) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -252 + 354. List the prime factors of a.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3754 is divided by 3712.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16729\/20 + 3169\/4. Let d = -527\/10 - i. Is -10 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.77 + 7.93. Let w = d - 2.7. Let g be -1*(18\/15 - 1). Which is smaller: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 + 45*v**2 + 1541*v + 4489\/3.\nAnswer: (v + 1)*(v + 67)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45.1 and 680?\nAnswer: 30668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -668036.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 0 (b) 100 (c) 1 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171598 and 25235?\nAnswer: 857990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/599 + 58105\/1198. Let f = -565\/2 + 323. Calculate the common denominator of r and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2306, 2, -5, 534, -2, -3 in decreasing order.\nAnswer: 2306, 534, 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x**2 + 4*x - 4. What is the remainder when 111 is divided by q(2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/363326 or 0?\nAnswer: -9\/363326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**3 - c**2 - 28*c + 127. Determine a(7).\nAnswer: 911","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/23581 - 1579810\/919659. Calculate the common denominator of a and -107\/42.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -6.8, -3\/4, 2, 5?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.623436 centimeters?\nAnswer: 6234360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 7 = -2*d + 9, 2*d - 2 = 0. Let l(i) be the first derivative of 1 + 0*i - 2\/3*i**3 + s*i**2. Let o(a) = -14*a. Calculate o(l(v)).\nAnswer: 28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 6. Let z be b(9). Suppose -p - 14 = -5*w - 0, 5*p - 2*w + 1 = 0. Sort z, -6, p.\nAnswer: -6, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*r - 9. Let u(z) = -9*z**3 - 1. List the prime factors of u(r).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 4. Let t be f(6). Suppose t*z - 175 = -3*z. Let x(h) = h**3 + 5*h**2 - 3*h - 10. Let g be x(-5). Calculate the greatest common factor of g and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, g: 2, o: 2, w: 1, n: 1, p: 1}. What is prob of sequence xpnw?\nAnswer: 1\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2 - 53*s - 3*s**2 + 4*s**2 + 59*s - 2*s**2. Let x(b) = -b**2 + 4*b + 2. Let k(d) = -2*c(d) + 3*x(d). Determine k(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -27. Let n = -25 + 56. Let r = g + n. Which is greater: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/(-152))\/((-9)\/6)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 1867531?\nAnswer: -10\/1867531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 7 = 9. Is (-1)\/i + 485\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44893c (base 13) to base 4.\nAnswer: -12023022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9097660 is divided by 324916?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/421250 + 1583891\/3791250. Let v = -16\/25 + o. Let x = 2674 - 13369\/5. Sort -4, x, v, 0.1 in ascending order.\nAnswer: -4, v, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -1578785.\nAnswer: 1578785.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6 - 3*w - 92*w - 23*w + 7. What is the tens digit of a(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24000 or 24002?\nAnswer: 24000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30, -70, -110?\n\"Answer: -40*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 521391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 146*l + 140*l + 29 - 285*l. Is 6 a factor of f(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(847) + -3 + -5)*5*-6)**2.\nAnswer: -633600*sqrt(7) + 3279600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -12. Let y(a) = -6*a - 9. Let c be y(p). Suppose -9*l + 4*l = -c. Solve -4*v - l = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2 + 86687*o - 260070 = 0. What is o?\nAnswer: -86690, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**2*w + 69*b**2 - 539*b + 14256*w wrt w.\nAnswer: -2*b**2 + 14256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 1\/20*p**5 + 0*p - 13*p**2 - 1\/8*p**4 + 0 - 3*p**3. Factor q(h).\nAnswer: 3*(h - 3)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from juunzzuhzhnznn. What is prob of picking 1 j and 3 u?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3 - 40*f**2 + 238*f - 300 = 0. Calculate f.\nAnswer: -25, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88691.62509 - 88692. What is g rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g*q*u**3 + 37*g*q*u + 7493*g*u**3 + 2*q*u**3 + 2*q*u**2 - 2*q - 5*u**3 - 39*u**2 wrt u.\nAnswer: 12*g*q + 44958*g + 12*q - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*d - 30*d - 23*d - 31*d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (0 + -1 + 3 + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*w + c - 6, w - 3*c + 3 = 0. Solve w = -9*m - 14*m + 23 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000677201 rounded to 7 decimal places?\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*t - 1120 + 1120 in the form z + k*t and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1040\/39)\/(208\/39)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-six fifths of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -10 + ((0 - 7) + 5 - 8)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -1115. Let m = 11937\/11 + y. Find the common denominator of -44\/119 and m.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -6*o + 4*o. Let n = 3 - o. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 15 = -3. Suppose -b*y + 6 = -16. Suppose -y + 2 = -3*r. Solve -3 = -5*g + w + 22, -w = r*g - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0. Let n be (-6)\/10*(-5)\/b. Solve n*h = 8*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -6*f**3 + f**2 - 1. Let v be g(-1). Let t = v + -4. Let m(b) = b + 2 + t - 5. Give m(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.13*-1590.92\nAnswer: 1797.7396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3846602 kilometers in micrometers?\nAnswer: 384660200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5885272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -37. Which is smaller: 6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -283*u + 545. Determine g(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1177*u. Let d(i) = 10*i**2. Give r(d(q)).\nAnswer: -11770*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7*p**2 + 11*p + 12. Suppose -5*x + 16 = -2*c, 5 = -2*x - 5*c - 6. Let z(k) = -3*k**2 + 5*k + 6. Let g(i) = x*a(i) - 5*z(i). Give g(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253939069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11083 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 30, 70, 134, 228, 358, 530?\n\"Answer: j**3 + 3*j**2 + 6*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1714 + 85.8714. Let n = 85.699998254 - s. What is n rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9850 + -2571. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 at most as big as 134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 4. What is the remainder when 3 is divided by 6 - 0 - (t - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c + 6 = 3*o, -3*c - 2*o = -4. Let l(x) = 65*x + c - 1 - 64*x. Determine l(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/13 and 115\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 95419 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (1 + -2)) + (-1 - -53 - 66).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 675562 plus -19297.4?\nAnswer: 656264.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149018803\/3 or 49672935?\nAnswer: 149018803\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(931) + 0)**2 - sqrt(931)*-2).\nAnswer: 42*sqrt(19) + 2793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.09, -30.3, -1\/48, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 6 + 3*k**3)*(-4*k - 7*k + k)*(-675 + 333 + 296) to the form n + z*k**4 + q*k**3 + d*k + w*k**2 and give z.\nAnswer: 1380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - (49 - -5)) + 14.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 12 = -105 + 27 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5\/7 - 22528*c**4\/7 + 63461228*c**3\/7 - 125233296*c**2\/7 - 643454370*c + 4565975184\/7 = 0. Calculate c.\nAnswer: -8, 1, 9, 5631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49 and 63?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -292 + 307. What is the remainder when g is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*j - 2*y - 14, 0 = -2*j - 2*y - 32. Let k = 23 + j. What is the units digit of 972\/30 + (-2)\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(2 + (-10)\/6). Let s = 243 - 237. Let o be (s\/15*-1)\/((-64)\/(-60)). Which is the nearest to w? (a) 1 (b) 5\/4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 277503 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14627, 29256, 43885, 58514, 73143?\nAnswer: 87772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52298043 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 2:04 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28\/((-6)\/(-15)*(-15)\/(-48))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3)\/p)**31)**(-37) assuming p is positive.\nAnswer: p**4588","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + a + 3)*(-550 + 550 + 24*a)*(5 - 3 + 0) to j*a**2 + q + y*a and give j.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/3)*a)**6*a**(-2)\/(a*a**6*a*a))\/(a**(1\/6)*a**(-3\/7)*a*a*a**(-4)\/((a**(-6)*a)\/a)) assuming a is positive.\nAnswer: a**(-283\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 537, 2, -14, -1456 in ascending order.\nAnswer: -1456, -14, -1, 2, 537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -7 + 50 + 1 + (-136 - -131)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61.752 - 61.8. Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 - 0.1. Let w = 2.3 + -0.3. Let l = 3 - w. What is the nearest to l in -0.3, -0.4, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**2 - 11*k - 2. Let b = 8 + -11. Let p(d) = 2*d**2 + 10*d + 1. Let z(g) = b*w(g) - 4*p(g). Is z(8) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.612 from -9.\nAnswer: -9.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -115, 4, 2, -36, -8, 13 in descending order.\nAnswer: 13, 4, 2, 0, -8, -36, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 0. Let n = -13 + 9. Let x = s - n. Which is the biggest value? (a) x (b) 3\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 13*z**4\/24 + z**3 - 3187*z**2. Let i(t) = 27*t + 11. Determine 6*i(o) - 11*s(o).\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -2. Let p = -4 + k. Suppose -x + 2 = x. Which is the nearest to x? (a) -5 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.06? (a) 0.4 (b) 0.2 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-8\/11)*w)\/((w**34*w)\/w))\/(w\/w**(-12\/13))**(-13\/7) assuming w is positive.\nAnswer: w**(-2133\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 3\/2*y**2 + 0*y - 1 - 1\/3*y**3. Let z be u(2). Solve -3*g + 4 = -b, b + z - 1 = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**3 + t**2 + t - 2. Determine n(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 33*w**3 - 39*w**2\/2 - 207*w. What is the hundreds digit of v(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -99, -185, -303, -465?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5817*p - 382. Does 4 divide a(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16019?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84145494*q**3 + q**2 + 6*q + 106466.\nAnswer: -504872964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, b: 3, a: 3, h: 3}. Give prob of picking 1 h and 3 a.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2566116 millilitres in litres?\nAnswer: 0.0002566116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (14 + -10 - (-1 - 7)) + (262 - 257)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -15332.\nAnswer: 306.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 46 = -8. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*((sqrt(84) - -1*sqrt(84)*4)\/(sqrt(108)*-2) + -1)*6)**2.\nAnswer: 540*sqrt(7) + 1899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7373213 millilitres to litres.\nAnswer: 0.0007373213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*6\/(-24) - (-2767072)\/(-75). Let p = 36895 + l. What is the common denominator of 103\/18 and p?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1230, -2463, -3698, -4935, -6174, -7415, -8658?\n\"Answer: -d**2 - 1230*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/19 (b) 20972 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**5\/60 + 7*r**4\/8 - 29*r**3\/3 - 2*r + 2. Let z(x) be the second derivative of w(x). Let n(c) = c**2. Calculate z(n(v)).\nAnswer: -2*v**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, -41967, -8 in decreasing order.\nAnswer: 67, -8, -41967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 5*w + 42. Calculate the greatest common divisor of 63 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/j**(-34)*j))\/j*j*j**(-1\/18)\/j*(j**(-29)\/j)**34 assuming j is positive.\nAnswer: j**(-18991\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*i - 11*i - 3*i + 5*i + i - 4*i + (-i - 2*i + i)*(1 - 1 - 2) - 3 - 3*i + 3 - i - 7*i + 0*i + (-i + 3*i - 3*i)*(1 + 0 + 2) to m*i + v and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41285 or -41056?\nAnswer: -41056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-3 - (-2 - 0)). Suppose x*d = -d - 2. Let f(u) = -u**3 - 2*u**2 - 2*u - 2. Let p(o) = o**3 + o**2 + o. Calculate d*p(k) - f(k).\nAnswer: -k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a decade in months?\nAnswer: 792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2455 = -6*u + 4*u, 4*w = -2*u + 1982. Let k(v) = -v**2 + 7*v + 13. Calculate the remainder when w is divided by k(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(153) + sqrt(153) + (sqrt(153)*-2 + sqrt(153))*-1)*-3)\/(-3*sqrt(576) - (-2*sqrt(144) - sqrt(144) - sqrt(144))))**2.\nAnswer: 12393\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 - 43. Suppose 3*g + 2*h = 197, 76 = 2*g - 4*h - u. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 545 - 328. What are the prime factors of z?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 6*i + 18 = 0. Suppose -i*v - 7*v = v. Suppose 2*b - 4 = -0*b. Solve s + 12 = -3*o - v*s, -5*s = -b*o + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 6*k**2 - 2*k - 7. Calculate b(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 552 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456*b - 1246*b - 1715 - 357 = 1332 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/4 (b) -4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.4 + 5. Let a = 3.89 - 0.89. What is the third smallest value in a, 3\/2, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 64*f + 320. Let p be g(-5). Let u(w) be the second derivative of -21*w - 5\/2*w**3 + p + 0*w**2 + 7\/4*w**4. Find the second derivative of u(j) wrt j.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 - 681*q\/2 - 24245.\nAnswer: (q - 746)*(q + 65)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001011001110001011 - 1?\nAnswer: -11001011001110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15822, 15761, 15694, 15615, 15518, 15397?\nAnswer: 15246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**8\/23520 - a**7\/8820 - 8*a**4\/3 + 69*a**2. Let w(f) be the second derivative of l(f). Factor w(q).\nAnswer: 2*q**2*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 32*r**2 + r + 1. Let x(m) = 32*m**2 + 2*m + 1. Let v(t) = -4*h(t) + 3*x(t). Let b be v(1). Let q = 7 - b. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {f: 1, d: 3, b: 2, c: 10}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 362*g - 374*g + 2.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18271 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/6 + 6044*p\/3 - 18264968\/3 = 0. What is p?\nAnswer: 6044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 322.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 26*s**2 - 58*s - 116. Determine k(28).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1394 and 2050?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011100 (base 2) in base 15?\nAnswer: ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -178, -5, 2, 9, 729, -1.\nAnswer: -178, -5, -1, 2, 9, 729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/73 or 1?\nAnswer: 23\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 11) + 0 - (13 - (-24 - -30))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 114\/27 + 4\/(-18). Let x(g) = 2*g**2 + 3*g**2 - t*g**2. Let h(p) = -3*p + p - p. Calculate h(x(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 - (2 + (11 - 11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6577?\nAnswer: 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -215 - -150. Let s = h - -64.7. Is -11 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + (4*sqrt(65)\/sqrt(5) - sqrt(13)).\nAnswer: -3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 991 + 2989 = 20*k. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/7 + 4\/((-28)\/(-3)). Let w = -15 + 14.72. Let o = -0.02 + w. Which is the third biggest value? (a) o (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2184 and 56.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.07499 - -13172\nAnswer: 13170.92501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121 - 118. Suppose -10161 = -s*m - 5*a, 13*m - 2*a + 10161 = 16*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*y - 311322 = -31*y + 35253. List the prime factors of y.\nAnswer: 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.83 - -4. Let h = 237363.829971 + -237364. Let s = h + a. What is s rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/320, -1, 0.4, 1?\nAnswer: -1\/320","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (-576)\/(-16) - 36?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2812*u**2 - 5773*u**2 + 2920*u**2.\nAnswer: -41*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -3. What is the least common multiple of q and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, m: 3, d: 6, c: 1, k: 2}. What is prob of picking 2 j, 1 k, and 1 m?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -309809, -309808, -309807?\n\"Answer: l - 309810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - 9*n - 8. Let r be q(-6). Suppose -4*z + 267 = 5*j, -3*j = 2*z - 41 - r. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/45)\/(1\/(-3)) + 34*(-266)\/(-32300)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*q - 16 = 4*l, -5*q = 4*l + 21. Sort 5, l, -4, -26, -6 in descending order.\nAnswer: 5, l, -4, -6, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 780119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 x, and 1 e when four letters picked without replacement from xkkhiekxkixxhi.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13303221 (base 4) in base 6?\nAnswer: -404013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 692910 a multiple of 656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -1147*x + 21792. What is v(19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312158 divided by -28378.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 17*p**2 - 21*p + 5. Let b(t) = -8*t**2 - 10*t + 2. Let s(o) = 5*b(o) - 2*g(o). Factor s(u).\nAnswer: 2*u*(u - 4)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - 1221 - 64 - 563 to i*n + o*n**2 + d and give d.\nAnswer: -1848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -260, -492, -734, -992, -1272, -1580?\n\"Answer: -p**3 + p**2 - 228*p - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10108\/(-181944)*(-81)\/33\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6000 and 168.\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -7*h - 33. Let d(y) = -y. Let w(v) = 6*d(v) - f(v). Is w(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109170 + 109170 + 1864*z.\nAnswer: 1864*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48390, -96789, -145190, -193593, -241998, -290405, -338814?\nAnswer: -387225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 100*i - 1274 - 26 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 907 - 617. Suppose 2*d - 3*k + 33 = 160, 2*k = 5*d - s. Suppose -58 - d = -2*z. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 8*z**2 - 8*z - 7. Let t be d(9). What is the second derivative of w - 4*w**3 + 4*w - w - t*w wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1056\/376)\/(428\/10058)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 11*m + 2. Let a be o(6). Let v = a - 59. Let n = -13 - v. Solve 2*h + 4*t = -4 - n, 0 = 4*h + 3*t + 26 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.26.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -12051 + 6028 + 1511*j + 6023 - 232*j in the form f + c*j and give c.\nAnswer: 1279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 5, -25498, 0, -9 in increasing order.\nAnswer: -25498, -9, -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/8*10\/(-18). Let y(o) = -o**2 - 27*o + 160. Let z be y(5). Which is bigger: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uryuwyyyq. What is prob of picking 1 q and 1 y?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 1045\/192454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 30. Let a = -1 - o. What is the greatest common divisor of 18 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -3. Let l = q + -2. Let k = l + 6. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-20)\/2880*12\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -66b (base 15) to base 12\nAnswer: -a0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 70*w - 60 = 0. Sort 2, 3, w, -146, 5 in increasing order.\nAnswer: -146, w, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbdabdd. Give prob of picking 3 d and 1 a.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25712100 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4750271 and 23751355.\nAnswer: 23751355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/17085 and 17\/30.\nAnswer: 34170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 3*z - 2. Let o be q(-4). Suppose 0 = -o*n + 4*g + 80, 4*g = -3*n - g + 87. Let k = -20 + n. 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: What is 514 minutes after 9:57 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x**3 - 21*x**3 + 142*x**3.\nAnswer: 96*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128815962, 128815963, 128815964?\nAnswer: 128815965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -749\nAnswer: 3745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3386943756?\nAnswer: 2, 3, 7, 29, 463457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*p - 248 = -844 - 172 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2156 = m, 5*p - 6701 = -5*m + 4099. Let j be m\/(-30) - 1\/5. Let g = j + 73. What is the third smallest value in g, 0.1, 3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(3) + 0 - sqrt(216)\/sqrt(8).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6) + (-4)\/6. Suppose h = 4*u - 2*u - 2*a - 62, 0 = -u + 5*a + 51. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 + 11*j + 9. Let t be n(-9). Suppose c = -2*z - 0*z + 77, -t = -4*z - c. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*i = -48*i - 20 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.282 times 0.006?\nAnswer: 0.001692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1492136 is divided by 130?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 8*c**3 + c - 1. Let p be t(1). Let a(o) = -4*o - 3 + 2*o**2 - o**2 + 0 + p*o. Is a(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19370044 + -13160044. Round f to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 616616674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4122871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4972395138 to the power of 1\/2, to the nearest integer?\nAnswer: 70515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135838344 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 892140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 9*w + 876. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30564)\/343845)\/(1\/100*-2).\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 2, -60, -468, 5 in decreasing order.\nAnswer: 5, 2, 1, -5, -60, -468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4) + -1 + 77\/(-14)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*(sqrt(2299)*3 + 3 + -4 + 2*sqrt(2299))*-5)**2.\nAnswer: -222750*sqrt(19) + 116388900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4003 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/208*44 + (-9 - -1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeyvvxeeexeevebxxe. What is prob of sequence vvb?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15960595*h**4 + 13517195*h - 2 wrt h?\nAnswer: 191527140*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 325 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6660 and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-94)\/(-47)*(-1 + 0)\/1. Let h(g) be the first derivative of -g**2\/2 - 2*g - 1. Let s be h(2). Which is the nearest to k? (a) s (b) -3 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 d when three letters picked without replacement from tiibbdds.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -696, -1, -5 in descending order.\nAnswer: -1, -5, -696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in 4\/5, -48, 10.59, 4, -8?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000010 - 100101011000101?\nAnswer: -100100010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**8\/168 - 557*t**6\/120 + 34*t**5\/15 + 2*t**3\/3 + 22*t**2 + 35*t. What is the third derivative of j(q) wrt q?\nAnswer: -120*q**2 - 3342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrm when four letters picked without replacement from mmmrrrmmrm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 553293?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {y: 4, p: 1, t: 1, u: 2, o: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(99) - 2*sqrt(99)) - -4*3*sqrt(99))\/(5*sqrt(63)\/(sqrt(567) + sqrt(7))).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*1\/21)\/(105\/(-245)). Let g = -8 - -13. Let j = g - 5.3. Which is the third biggest value? (a) 1 (b) m (c) j (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 51247511193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**5 - 5864*s**4 + 5860*s**3 = 0 for s.\nAnswer: 0, 1, 1465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 24.41747 millilitres?\nAnswer: 0.02441747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*s - 492 = 0, -2*z + 1132 = 5*s + 163. Calculate the lowest common multiple of 477 and z.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z = 26*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 1)*(-15*h + 22 - 22) - 3*h + 5*h + 2*h to o + l*h and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 351401?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 111355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 7705?\nAnswer: 7705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 209250967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/16 - (-30)\/(-8). Let g be 2 - -1*s\/(-4). Solve -2*q - 26 = -4*y - 2, g*q = -4*y + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14844, -14766, -14636, -14454, -14220, -13934?\nAnswer: -13596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 190, 2123 in descending order.\nAnswer: 2123, 190, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, q: 3, u: 6, v: 3, w: 6, h: 1}. Give prob of picking 1 v, 1 h, and 2 u.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 6 (b) 0.3 (c) 1673 (d) -1\/4 (e) 3\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*r - 94 = 83*r - 2*n, 5*r = -2*n + 154. What is the third derivative of -163*z + 220*z**3 + 163*z + 98*z**2 - r*z**2 wrt z?\nAnswer: 1320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*f + 161*f = 510 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 = -2*d + 18, -20 = -q - 3*d. Suppose f + 11 = m + 5*f, -3*f = -5*m + 9. Which is bigger: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228\/37339 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - m + 51 = 0, 4*u - 5*m - 51 = 36. Let l be 106\/9 + 6\/27. Calculate the greatest common factor of u and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 54 + (86 - 48)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 21 = -5*x, x - 1 = -3020*v + 3025*v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - 2*g)*(18*g**2 - 12*g**2 + 23*g**2) + 0 + 0 - 2*g**3 + (0*g - g - g)*(-4*g**2 + 5*g**2 + 0*g**2) + 0*g**3 + 8*g**3 - 2*g**3.\nAnswer: -56*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2163124 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r. Let d(a) be the second derivative of 29*a**4\/6 + a**2\/2 - 7*a - 6. Determine d(t(x)).\nAnswer: 928*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10775 or 12131?\nAnswer: 12131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.988 + -0.012. Are 1.3 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1114538916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/25*1350\/12. Find the second derivative of -49*u - y*u**3 + 3*u - 39*u - 13*u wrt u.\nAnswer: -810*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8)\/(-10))\/((-3)\/(-105)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 2*j = 3*f + 17, 2*f + 5 = 5*j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - s + 4*s)*(2383435*s**3 - 2383435*s**3 + 2326*s**4).\nAnswer: -2326*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30726696 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1633 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 156659051 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 199 + 680. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 393*m + 6415. Determine o(-377).\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 12. Let y = 7 - i. What is the nearest to 1 in y, -5, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 173 or -3109\/16?\nAnswer: -3109\/16","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 275*n + 1107. Give x(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 209778898 minus -24?\nAnswer: 209778922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -116343 (base 10) to base 9\nAnswer: -186530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v + 2*v + 1759 - 6*v + 2172 - 3509 + v**2 - 2*v**3.\nAnswer: -2*v**3 + v**2 + 422","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 41 (b) 4 (c) 27 (d) 3\/10 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4439.8 less than or equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytttttttttytytytyt. Give prob of picking 3 y and 1 t.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 4*c - 32.\nAnswer: (c - 8)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(2) + sqrt(14)\/sqrt(7))*-3 - (sqrt(18) + 2)) + -1)**2.\nAnswer: 18*sqrt(2) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) + (sqrt(130)*-1 - sqrt(130))*-5)\/sqrt(10) - (3 + (1 + sqrt(117) - sqrt(13) - sqrt(13))))*-6)**2 + 2.\nAnswer: -2880*sqrt(13) + 47378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d**2 - 133*d - 203. Let t(n) = -n**2 - 22*n - 34. Let j(b) = -6*a(b) + 39*t(b). Factor j(v).\nAnswer: -3*(v + 2)*(v + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) -0.3 (b) 2\/15 (c) -5\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3*21.66901\nAnswer: -65.00703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**(-2\/43)\/(b**0)**1 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 25*d - 15. Let m be f(19). Suppose 148 = j - m. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v - v)*(-4 + 9 - 2*v - 17).\nAnswer: 2*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 9:19 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by (134 - 2) + (27 + -31)\/(2\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 4, 1\/2810?\nAnswer: 1\/2810","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19747, 81569, 184607, 328861, 514331?\nAnswer: 741017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from {l: 2, w: 3, o: 5}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/48*(-2 - (-9)\/6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000247261 rounded to 7 dps?\nAnswer: 0.0000247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 9*h - 6. Let i be x(-4). Let c = -1 + i. Suppose -c + 247 = 9*y. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -21704?\nAnswer: -5\/21704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**0*w*w**4*w*w*(w*w\/w**(-1))**(1\/42) assuming w is positive.\nAnswer: w**(99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5769?\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/12 and -89\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 + (-20 - -13) + -26 + 31.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26768372*c**6 + 131614*c**2 - 152?\nAnswer: 3212204640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -176*j**2*m - 26*j**2 + 3*j - 412*m wrt j.\nAnswer: -352*m - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2443978?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (6*sqrt(51)\/sqrt(3))**2) + -6*sqrt(68)\/sqrt(4).\nAnswer: -612 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.05 - 0.05. Let q = l - 3. Let a be 2\/(0 + -1 - 1). Is a at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016864976 to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 397 - 1589\/4. Which is the smallest value? (a) 0.5 (b) -4\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 6*s - 8 = 0, 95*s - 100*s = -4*q + 35 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, d: 1, o: 2, b: 1, a: 4}. Give prob of picking 1 b and 2 v.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88857 + 88857 - 15*k**2.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 785363702*r**5 - 1437809*r**2 - 15*r wrt r?\nAnswer: 47121822120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.8 - -3. Let g = 16.61 + 0.19. Let p = 17 - g. What is the nearest to p in k, 5\/3, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (301\/1806)\/(2\/(-522))*4\/9*3?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 5a8132?\nAnswer: 5a8132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -106*c + 3. Let o be l(-2). Suppose -53 = -4*x + o. Let k = x - 42. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 5*t - 3*t)*(0*t**3 + 0*t**3 - 5*t**3) + (0*t**3 - t**3 + 0*t**3)*(17*t - 7*t + 3*t)*(-3 + 4 + 4) as u*t**3 + a*t + r*t**4 + l*t**2 + k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.049 * 1\nAnswer: -0.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 466 divided by -18713\nAnswer: -466\/18713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 6*m = 10. Let l = m - 6. Suppose -163 + 27 = -l*x. What is the remainder when x is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {y: 2, o: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q - 86. Suppose -m + 2*m - 38 = 2*b, 2*m = -5*b - 86. Let f be d(b). Solve -2*k = 3*c + 7, c - f*c - 5*k - 4 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - b - 2714, -3*w + 7*b + 2718 = 4*b. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, a: 2, r: 2}. What is prob of picking 1 a and 1 q?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11845 and 14483345.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*a - 18 = -124*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*y**2 + 2 + 0 - 4*y - 319*y**2 + 2*y in the form l*y + i*y**2 + n and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/6 + (-2)\/2. Let j be 3\/6 + 62\/i. Let l = -8 - j. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164540 and 144590?\nAnswer: 125214940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 12893.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7859830 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*k - 129*k - 88 = 0. Suppose 0 = -0*f + f - 13. Suppose 0 = 3*d + r - f, -3*d + 4*r - 11 = -r. Solve k = -d*b - b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1543*u + 6 + 27 - 1532*u. Let b(c) = 16*c + 49. What is 5*b(w) - 7*j(w)?\nAnswer: 3*w + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/29 + 93\/58. Let x = 3 + -2. Which is smaller: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/5))**(3\/10) assuming k is positive.\nAnswer: k**(-3\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*c - 5*v = 2488, -c + 607 = -5*v. List the prime factors of c.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19.101 + -0.001. Let r = -19.2 + l. Let v = 4.93 - -0.07. What is the third smallest value in r, v, -3\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -49c (base 15) in base 10?\nAnswer: -1047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -1403, 0, -5, 1, 3 in increasing order.\nAnswer: -1403, -22, -5, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -299362 equal to -299341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 837118 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 5. Suppose n*c - 4*w = 20, -3*c = -0*c + w - 27. Calculate the remainder when 23 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 2158?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**7\/5880 - q**6\/560 - q**5\/28 - 8*q**4\/3 + 5*q - 2. Let z(i) be the third derivative of d(i). Factor z(c).\nAnswer: 3*(c - 5)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 4. Let z be v(4). Let y be (z\/5)\/(10\/(-25)). Solve 3 = -n + y*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34.382359 - 0.382559. Let p = -34 + b. What is p rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -618*c**3 - c - 1713*c**2 - 3 - 1 + 1715*c**2 + 3 in the form q*c + m*c**2 + o + v*c**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 + 113336*c**3 + 3209221528*c**2 - 115642160928*c + 1041110041104.\nAnswer: (c - 18)**2*(c + 56686)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 16*q + 11. Let t be k(16). Let m = 21 - t. What is the remainder when m is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4 + 259*f**3 + 883*f**2 - 93499*f - 188442 = 0. Calculate f.\nAnswer: -19, -2, 19, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -2 - (-640)\/10*19. What is the highest common factor of h and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + sqrt(17) + sqrt(204)\/sqrt(48).\nAnswer: 3 + 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9.7+348.7211144799\nAnswer: 339.0211144799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 76760038?\nAnswer: 690840342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 112.6 from 138942164.\nAnswer: 138942051.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.26590161\nAnswer: -0.106360644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, v: 1, l: 1, r: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 17*q + 41. Let r(o) = -o**2 + 18*o + 41. Let c(t) = 3*r(t) - 2*y(t). Let x be c(21). Calculate the greatest common divisor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a - 54 + 159. Differentiate 882 - 824 - 2*v + a*v**2 + 12*v**2 + 4*v with respect to v.\nAnswer: 54*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/(-20) + (-2)\/10. Suppose -16 = -3*v + n. Let y = -475 - -497. What is the remainder when y is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4990.02 - 4990. Sort 44, z, 4, -3 in ascending order.\nAnswer: -3, z, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 1, 4959, -0.856, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggegeqgggpggggg. Give prob of picking 1 q and 1 g.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1375*i - 1382*i - 1384*i + 5527*i - 1380*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 2*s - 3*n, 2*n = 710*s - 714*s - 4*n + 156 for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w**3 - 2 + 9*w**3 - 5*w**3 as f*w + y + r*w**3 + a*w**2 and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, -0.07, 2\/25, -2\/7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 + z + 371115*z**2 - 371113*z**2 - 6*z + 5*z + 660.\nAnswer: 2*z**2 + 744","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 36 = -j. Let h(v) = -v**3 - 13*v**2 - 13*v - 7. Let n be h(j). Suppose n*y - y = 16. Solve -3*u + 2*c = 20, -u + 0*u - y*c = -12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -40*x - 5207. Calculate a(-129).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4323 times -4\nAnswer: -1.7292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjya when four letters picked without replacement from {j: 6, z: 1, b: 1, a: 3, y: 1, g: 1}.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -61*d + 177. Let i(f) = -4 + 0*f - 3 - 2*f + 6 + f**2. Let u be i(d). Solve 2 = -3*t + u*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 95, 2, -0.16, -3?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8110*(3 - 55\/15)\/((-8)\/6)?\nAnswer: 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 1, 2, 72506, -2\/3, 0.9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v - 3*n + 19 = 45*v, -5*n = 4*v - 21. Solve w - 10 = c, 9*c = v*w + 13*c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 28. What is the units digit of 99\/15 - i\/(50\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -29*v**3 + 6*v**2 + 7*v - 3. Is p(-2) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (204500\/2454)\/(40\/48*-1)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -20. Suppose 0 = -4*o + t*a - 7*a + 252, -2*o = 3*a - 123. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 967 + 967.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**3 + 19*y**2 + 36*y. Let k(v) = -2*v**3 - 18*v**2 - 36*v. Suppose 13*h = -137 + 72. Let j(u) = h*k(u) - 4*x(u). Factor j(c).\nAnswer: -2*c*(c - 9)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33317.2 and 187241.\nAnswer: 220558.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 122092207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**3 + 13320*h**2 + 213504*h + 854528 = 0.\nAnswer: -8, 6676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(204) - -6*(sqrt(204) - (sqrt(204) + -2*sqrt(204) + sqrt(204) + sqrt(204)))))\/(1*sqrt(1452) - (sqrt(144) + -1*sqrt(144))\/sqrt(12)).\nAnswer: -2*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/30*-2*-3*(-85)\/17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5676920 divided by 141923.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-55)\/(-15) + ((-6256740)\/(-9))\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10390*a**3*u**2 + 7696*a**3 - 61*a**2 + 148*a*u + a + 3*u**2 - 2 wrt u.\nAnswer: 20780*a**3*u + 148*a + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*n + 138082 - 138151 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6984 + 94.6116. Let t = w + -95. What is t rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 10*p**2 - 153*p + 39. Determine x(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3545737, 3545743, 3545751, 3545761?\n\"Answer: g**2 + 3*g + 3545733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - -116\/3. Let m be 18\/36*6\/4*4. What is the smallest value in g, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 2*i + 5. Let y be v(3). Suppose u = -0*u - y. Is 5*(-40)\/(u - -4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/10))**(2\/29)\/(d**(-7\/9)\/d**(2\/79)))**(-13) assuming d is positive.\nAnswer: d**(-1085578\/103095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*h - 16 - 1 = 0, -4*s - 3*h + 23 = 0. Find the third derivative of s*k**6 - 35*k**5 + 35*k**5 - 17*k**2 wrt k.\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (642\/(-5457))\/(1*3)*-51.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 1705 = 9*l - 5*b, 0 = 4*l + 5*b - 765. Calculate the remainder when l is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 3*t - 1. Let o be i(-4). Suppose 3*x = 2*y - 3 + 2, o*x - 34 = -5*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from {x: 2, t: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**4\/4 + 2*z**3 - 3*z**2 + 7*z + 2. Let r be (-2)\/8 - 84\/(-16). What is the smallest common multiple of 20 and g(r)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 + 203*h**2 - 160 + 525 - 186 - 179.\nAnswer: 208*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*(-36)\/(-36)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2704.9, 128.8, -0.4 in descending order.\nAnswer: 128.8, -0.4, -2704.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -254 + 34. Let d = c + -44. Factor 1\/4*v**3 - 1\/2*v + 1\/4*v**2 + d.\nAnswer: v*(v - 1)*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 352, -10, -586, -1484, -2812, -4678, -7190?\nAnswer: -10456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2301*i**3*o**2 + 2*i**2*o**2 - i + 128*o**2 - 153*o + 1 wrt i?\nAnswer: 6903*i**2*o**2 + 4*i*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 b when four letters picked without replacement from ssbcsssccsxsbc?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103355 (base 8) to base 3.\nAnswer: 1202101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t + 22. Let b(j) = 5*j. Let y(l) = -l. Let h(o) = b(o) + 6*y(o). Let c(d) = d - 8*d + 3*d + 0*d. Let q(w) = -2*c(w) + 9*h(w). Determine q(f(i)).\nAnswer: -2*i - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 6*l**2 - 3*l - 4. Let z(f) = -7*f - 6 + 7*f + f**2 + 3*f**2 + 10*f - 2*f**2. Let p be z(-6). What is d(p)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**23*f**(2\/11)\/f**(-5) assuming f is positive.\nAnswer: f**(-196\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**(-5\/2)*d)*d*d*d\/(d\/(d**(-1\/8)*d))*d*d*d assuming d is positive.\nAnswer: d**(67\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225\/2000)\/(12\/96)*(-4)\/2.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 36.7692.\nAnswer: -36.5692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.2. Let h = -0.34 - -3.34. Let o = 0 + h. What is the third biggest value in o, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8933486 by -4.\nAnswer: 4466743\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhrhyhrrahhhfrr. Give prob of sequence fh.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 8*h - 12*h - 2*h - 11*h + 8*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 + 73?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008106 to six dps.\nAnswer: -0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 4:38 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1463*s + 1485*s + 257 = 59. Put 3, 1, -1, -4, s in decreasing order.\nAnswer: 3, 1, -1, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*g - 231 = 438*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -385 + 3498 + 8*i**3 + 397*i**3 + 312*i**3 + 4474*i**3 wrt i.\nAnswer: 15573*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.3 less than -0.1?\nAnswer: -40.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**6\/24 + d**5\/12 - 3*d**4\/8 + 5*d**3\/6 + 94*d**2. Let l(x) = -x**3 - x + 1. Let t(g) = 4*l(g) - m(g). Calculate t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, -1.18, 69, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063805 is divided by 949.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1204227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 612183 and 9867.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1226 = -6*w + 1048. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59b64a (base 13) to base 7\nAnswer: -24115305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**3 + 0*c + 0*c - c + 0 + 0 + 6*c**3 + (3 - c - 3)*(-c**2 + 0*c + 0*c) + 3 - c**3 + 0*c**3 + 2*c**3.\nAnswer: 3*c**3 - c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 3831 = 4069. Which is the nearest to 3? (a) g (b) -4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -11) + 4 + 0 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 10*r - 2*r - r + 3*r. Let c(o) be the first derivative of o**2\/2 - 14. Determine c(g(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1248*o - 2820. What are the prime factors of s(26)?\nAnswer: 2, 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/9447 and 31\/670.\nAnswer: 94470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 - 7737892*f**2 + 7737889*f**2 + 3.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/24 of a minute?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = 49*f + 306*f + 147. Which is the closest to -2? (a) 4\/11 (b) 197 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2306072 divided by -46?\nAnswer: 50132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (134*x**3 - 72*x**3 + 105*x**3)*(-x + 3 - 3)*(5 - 4 - 4) to u*x + a*x**3 + z*x**4 + n*x**2 + l and give z.\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001722012491 rounded to 7 dps?\nAnswer: 0.0000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43.8 + 43.09. Let d = n - -4.71. Which is the third biggest value? (a) 2\/23 (b) 0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -63e?\nAnswer: -63d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*u + 112, -6*h + 2*u = -11*h + 131. Calculate the remainder when 106 is divided by h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -745 - -2a3?\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 2*o**2 - 2*o - 1. Let p(m) = -2*m**2 - 3*m - 2. Calculate 4*j(q) - 3*p(q).\nAnswer: 4*q**3 - 2*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2792 is divided by 100.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*i + 30*i - 6 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -2\/17, 0, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 2*x**3 - 5*x**2\/2 - 17*x. What is the first derivative of a(y) wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*j**2 - 131357*j + 131357*j.\nAnswer: -40*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 5*x. Solve 0 = -u + 3*k - 2, 2*k = u + 1 - x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -12*j + 2. Calculate p(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 141*h**2 - 202*h**2 + 120*h**2 + (-3*h**2 + 6*h**2 + h - h**2)*(1 + 6 - 4).\nAnswer: 65*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-1*sqrt(700)*-4)**2 + sqrt(700) + -5 + (2 + sqrt(700))**2 + 0) + 5)*-4.\nAnswer: 1000*sqrt(7) + 237960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22334699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/((-1)\/392). Let h = i - 122. What is the remainder when h is divided by (3\/(3\/(-2)))\/((-2)\/15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - 34317?\nAnswer: -34301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*p**2 + 15*p**2 - 21*p**2)*(7*p - p + 2*p)*(p - 5*p + 5*p).\nAnswer: -144*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*t = -232, -3*t - 278 - 286 = -5*d. Calculate the highest common factor of 1788 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/40*(-2)\/(-10)*-2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.52? (a) 7 (b) -0.1 (c) 2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 31, -5, -138.\nAnswer: -138, -5, -4, -2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfdwwwwwwwdwfw. What is prob of sequence df?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/2 - 38\/1. Let u be (12\/(-5))\/(8\/60). Let c = u - l. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*i - 46056 = -51*i. Is i less than -1919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102448.4 centuries in millennia?\nAnswer: 10244.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/18*0\/3. Suppose 0 = z - 2*p - g*p - 426, -446 = -z - 3*p. Is -3 - z\/(-1)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (22 - (6 - 4)) - -10) + (7 - 29).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 12*z**2 - 12*z - 12. Let h be l(-11). Let a be h\/(-5)*5*3. Solve -5*m + 9*f - 4*f = -10, 0 = -a*f - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-30) + (102\/(-15) - -7).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.95 + 6. Let y = -0.04 + h. Let l = y - 0.01. Which is smaller: l or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in 5\/2, -1, -128, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 57*d**3 + 4*d + 167. Let l be 3\/2*42\/(-63). Let w(t) = t**3 + t - 1. Let o(s) = l*i(s) + 4*w(s). What is the first derivative of o(j) wrt j?\nAnswer: -159*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1381 + -1389 + (5 - 3) + (35 - 1)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284703219.\nAnswer: 3, 31633691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3*z - z)*(-z**3 - z**3 - 6*z**3) - 12*z + 12*z + 4*z**4 + 2*z - z**4 - 2*z + (-2*z**2 - z + z)*(2*z - 2*z - z**2).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/4)\/((-51)\/136). Is f >= 23\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1263941, -1263939, -1263937, -1263935, -1263933, -1263931?\nAnswer: -1263929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(960)\/sqrt(12).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipisi. Give prob of sequence iss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*q + 1 = -229*q + 76. Let u = -2.2 + 2. Let i = 21 + -22. What is the fourth smallest value in q, -2\/13, i, u?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-129)\/559 + (-29)\/(-13). Let y(c) = -3*c + 6. Let u(g) = -g - 1. Calculate a*u(v) - y(v).\nAnswer: v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15240 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/11)\/c**(-34))**(-49))**(-41) assuming c is positive.\nAnswer: c**(753375\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 238024.\nAnswer: 5\/238024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 9*f**2 - 10*f + 7. Let x be j(-10). Which is smaller: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 51*h**2 + 0 - 48*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*b - 267*b = 147. Let p(i) = -5*i**2 + 10*i - 1. Let a(g) = 11*g**2 - 19*g + 3. What is b*p(c) - 3*a(c)?\nAnswer: 2*c**2 - 13*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 - 26\/2)\/(2\/(-6)). Solve -2*u - r = a, -6*r - 30 = 5*u - r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -64, -129, -194, -259, -324?\n\"Answer: -65*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42383918 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 4*i)*(-1 - 1 + 3)*(-6*i + 13*i - 6*i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q**2 - 6*q + 10. Suppose 10*b = -139 - 21. Let t(c) = -2*c**2 + 2*c - 3. What is b*t(p) - 5*j(p)?\nAnswer: 2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**6 + 388*p**4 + 2*p**2 + 1146*p + 14 wrt p.\nAnswer: 360*p**3 + 9312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.6 + -8.4. Which is the biggest value? (a) o (b) -0.9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (5 - 5) + -4. Let v = 6.02 + -0.02. What is the nearest to -1 in v, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*z - 4506 = 0, -92*o = -95*o + 4*z + 13478. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 992 in 2\/33, 6, -3\/302, 0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/14883 and -47\/34276.\nAnswer: 1131108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -411*l**4*z + 2*l**2*z**2 - 1468*z**2 wrt l.\nAnswer: -1644*l**3*z + 4*l*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + (71 - 132) - (11 + -5 - -120).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2413\/120 + -266\/15. What is the common denominator of 7\/240 and l?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*n + 4*n + 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11173 + -1430155\/128. Find the common denominator of -115\/192 and b.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1661977.48412 and 0.0039?\nAnswer: 1661977.48022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/14*(-7)\/(-3)*4. Let c = g - -14. Suppose c = -28*s + 31*s - 216. What is the highest common factor of s and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.69 - -2.19. Which is the smallest value? (a) o (b) -1 (c) -3 (d) -0.132 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*d**2 - 11*d**2 + 94*d**2 + (-2*d + 6*d - 2*d)*(d + 1 - 1) + d**2 + 3*d - 3*d.\nAnswer: 116*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -22. Let m = x + 4. Sort 3, m, -1 in descending order.\nAnswer: 3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h + 4. Let o(v) = 2*v + 7. Let d = 40 + -16. Suppose 0 = -29*n + d*n - 25. Let y be o(n). Let a(j) = 5*j + 5. Give y*p(i) + 2*a(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10\/3 (b) 0.4 (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -13*y - 16. Let g(v) = 7*v + 8. Let m(u) = 7*g(u) + 4*x(u). Suppose 4*r - 5*r = 6. List the prime factors of m(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7570213460 to the nearest one million.\nAnswer: -7570000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -2 - (12 - 5)) + (9 - 11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8765696, 8765710, 8765726, 8765738, 8765740, 8765726?\nAnswer: 8765690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + (-16 - -11 - (-13 + -2)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4*3\/18)\/((-1)\/1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqmqqqqqmiiq. What is prob of sequence qiqm?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1227556879 to the nearest one hundred thousand.\nAnswer: -1227600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -713*d**2*f**3*p - 10*d**2*f**3 + d**2*f**2*p - 178642*d**2*f**2 + 3*f**3*p - 13*f**2*p wrt f?\nAnswer: -4278*d**2*p - 60*d**2 + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093909 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -77*k - 28. Let h be v(-5). Suppose h = b + 2*b + 4*c, 5*b - 595 = -4*c. Calculate the remainder when b is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -665, -2687, -6065, -10805, -16913, -24395, -33257?\nAnswer: -43505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180284, -180360, -180432, -180500, -180564, -180624, -180680?\nAnswer: -180732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b64 - 4?\nAnswer: b60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -346382 divided by -2?\nAnswer: 173191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100992219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 351.9513 - -0.0487. Let u = 348 - m. What is the second biggest value in 31\/5, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2, -2135, -84\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**2 + 8*k**2 + 2*k**2 + 2*k - k as m + x*k + q*k**2 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16618248653 and -0.0313.\nAnswer: 16618248652.9687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 929031?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.18 + -0.68. What is the closest to 13 in -1, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xm when two letters picked without replacement from mmuxdmmmm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**2 + 28*b + 23. Calculate u(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 26 = 26. Solve 4*g = -x*m - m, m - 5 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -1, -2\/49, -6\/185, 12 in decreasing order.\nAnswer: 12, -6\/185, -0.04, -2\/49, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*i**(2\/37)*i)\/i)\/i)\/i**(-9))**(-3))**(-11\/2) assuming i is positive.\nAnswer: i**(11055\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, e: 1, v: 2, x: 2, t: 3, a: 3}. What is prob of picking 2 m and 2 t?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 + -1. Let s = l + 1.1. Let r be (6\/14)\/((-3)\/(-2)). Which is the nearest to 2\/5? (a) s (b) r (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3729, 3728, 3727, 3726?\nAnswer: 3725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**4\/6 - 10*o**3\/3 + 3*o. Let j(q) = 710*q - 1500. Let z(b) = -17*b + 36. Let a(v) = -6*j(v) - 250*z(v). What is i(a(r))?\nAnswer: 200*r**2 + 200*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47577 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 - 22*f**2 + 11*f**2 + 22*f**2.\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -179.1035161 - -177.73642. Let r = l - -1.367. What is r rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 32 - 20)*(0 - 4*n - 1 + 0)*(-n + 2 - 2).\nAnswer: -80*n**2 - 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1143 - 311. Suppose m = 2*m - 5, 3*x - m - r = 0. Suppose 0 = -8*z + x + 361. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1643.\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.484 times 1.5?\nAnswer: -0.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1334605783 to the nearest integer?\nAnswer: 36532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 2*i**6\/21 - 52*i**5\/5 - i**4\/7 + 52*i**3\/3 + 15266. Determine m so that s(m) = 0.\nAnswer: -1, 0, 1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 71. Find the common denominator of (-33)\/(t\/12 - 2) and -67\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 7*f**2 - 67*f - 1056. What are the prime factors of q(40)?\nAnswer: 2, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -13*m - 4107. Let x(w) = 3*w - 3. What is -k(f) - 5*x(f)?\nAnswer: -2*f + 4122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/61767 > 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x. Let c(q) be the first derivative of -q**6\/120 + 4*q**3\/3 + 2. Let h(i) be the third derivative of c(i). Give b(h(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22898 is divided by 3007.\nAnswer: 1849","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c73 + -2?\nAnswer: -c75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 380 = -2*v. Let q(w) = 20*w - 1. Let z be q(-7). Let a = v - z. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -4, -5, -1 in descending order.\nAnswer: -1, -4, -5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 - 21*q\/2 - 117\/4.\nAnswer: -(q + 3)*(q + 39)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azzqaczlaaqzzza. Give prob of sequence qlcz.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-25)\/20 + (-33)\/220?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z + 0*z + z)*(-90 - 42 + 87) - 4*z + 3*z - z + 1 - 1 - 2*z + (0 + 0 - 2*z)*(-1 + 1 + 3) + 2*z - 3*z - z to a*z + m and give a.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i - 20 = 0. Suppose -4*v - f = -5, -8*f + 3*f + i = 0. Is 305\/((-3)\/(-4 + v)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 4. Let w be s(2). Let d be (-2*(-5)\/(-40))\/(2\/(-40)). Suppose 3*t - 67 = -d*j, -6 = -2*t + 3*t - 4*j. Solve 0 = w*x + 8 - t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 24*d**2 - 22*d + 173. What are the prime factors of q(-18)?\nAnswer: 5, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 13. Let c be j(-8). Let r(n) = n**3 - 5*n**2 + 1. Give r(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-735)\/14)\/(-21)*(-8)\/30\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-3) + 516600\/111510?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -0*v + v - 11, -v + 3*c = -5. Let l = -198 - -472. Let i = l - 279. Sort 5, i, v in descending order.\nAnswer: 5, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - j - 2*j = 3, 23 = -u - 5*j. Let q be ((-2)\/u)\/(4*2\/24). Let c = 3 - -14. Solve g + q*g + 4*l = c, -2*g = -l - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (26\/3)\/2 - 2\/6. Suppose 3*j - 8*i - 306 = -11*i, -h*j = -i - 398. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897 less than 1534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**2*y)\/y)**(6\/13))**(-27)*(y**(-2)*y**(-6\/11))\/((y*y**(-7))\/((y**(3\/11)*y)\/y)) assuming y is positive.\nAnswer: y**(-3031\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -37*i**2. Let z(c) = 305 - 29*c + 36*c - 305. Calculate z(u(r)).\nAnswer: -259*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g**2 + 4*g + 8*g**3 - 2 + 4 - 4 - 5*g + 3*g**4 + 1 to u + v*g + a*g**3 + i*g**2 + h*g**4 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 324 and 360.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361 = 4*x - 2*r + 115, -3*x + 168 = 4*r. Calculate the highest common divisor of 345 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - o**2 + 7*o + 2. Let i be y(0). Suppose 10*z**2 + 0*z**2 + z**i + z**3 + 12*z**2 - 7*z**2 = 0. Calculate z.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 5*b**2 + 581*b + 3451. Calculate x(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -238*x**2 - 3 + 118*x**2 + 119*x**2 + 3*x**3 as b*x**3 + y + n*x**2 + j*x and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 63?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81*c*u**2 - 877*c*u + 7*c - 69*u**2 wrt u?\nAnswer: -162*c - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-5*5\/75)\/(3\/(-45))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 12, f: 5, p: 2}?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**3\/6 - d. Let z(i) be the second derivative of i**4\/12 - 4*i. Give c(z(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -227964 divided by -33?\nAnswer: 6908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878542 is divided by 7907?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 618?\nAnswer: 37.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 1768*h + 117. Let i(g) = -61*g - 4. Give -117*i(u) - 4*s(u).\nAnswer: 65*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/21)\/(k\/(k**(-15)*k)))\/(k**13*k**(-8)) assuming k is positive.\nAnswer: k**(-419\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 - 17*k - 6. Let i be r(9). Solve -i*b - 15 = 3*q, -5*b - q + 0*q - 21 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -26528, 4 in descending order.\nAnswer: 4, 1, -26528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-75)*-3*40\/(-144)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15163, -5598, -40199, -88640, -150921, -227042?\n\"Answer: -6920*m**2 - m + 22084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/90180 and -43\/7020.\nAnswer: 1172340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - 1078738?\nAnswer: -1078731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 303, 304, 305, 306?\n\"Answer: f + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 greater than 119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 1 (c) 11 (d) -9 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 193*g - 201*g. Let l(k) = -53 + 0*k - 5*k**g + 8*k + 44. Let h(s) = -2*s**2 + 3*s - 3. Calculate 8*h(q) - 3*l(q).\nAnswer: -q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6149.249 rounded to the nearest 100?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32861764?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 q, and 1 h when three letters picked without replacement from {h: 3, v: 3, s: 1, g: 1, q: 2, a: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*c - 128*c - 25 + 25)*(-3 + 0 + 6).\nAnswer: -318*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/34 in 1, -3, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28\/36501 + 4983873\/705686. Let s = d - 20\/87. Calculate the common denominator of -103\/10 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -376\/43 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 10*a + 24. Let o be n(12). Let z be (-4*2\/(-10))\/((-14)\/(-35)). Solve o = -4*d + z + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*80\/(-60)*3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 17*o. Let h(q) = 32*q**2 + 4*q + 4. Let c(n) = -2*n**2 - n - 1. Let r(f) = 4*c(f) + h(f). Calculate r(v(d)).\nAnswer: 6936*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65426498?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from {e: 8, p: 4, q: 2, g: 3, x: 2}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (17 - 18) + 0 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/10)\/(7\/(-56)))\/(((-250)\/(-5))\/(-5)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u**2 - 7*u - 5. Let h be ((-3)\/2 - -2)*6\/(-3). Let g be (-232)\/32 + h\/(-4). Let s(k) = 2*k**2 + 3*k + 2. Calculate g*s(d) - 3*t(d).\nAnswer: d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 18*b + 27. Let r be w(20). Suppose -2*d - 2*z = -5*z - 14, -4*d + 28 = -4*z. Suppose d*s + 15 = 2*s. What is the biggest value in s, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 13*q + 2*r - 26 = 0, -2*q = 5*r + 68. Which is greater: -161\/9 or q?\nAnswer: -161\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2672 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -38, -40, -38, -32, -22, -8, 10?\n\"Answer: 2*b**2 - 8*b - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1199 = 4*v - y - 851, 2*y = 4*v - 2052. Suppose 5*g - v = g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25885950?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**4 - 3*l**3 - 19539*l**2 - 1035341 wrt l?\nAnswer: -4*l**3 - 9*l**2 - 39078*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(4\/9)\/z)\/z**3 assuming z is positive.\nAnswer: z**(-14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 13 = -7. Let l be 30\/f - 3\/2. Let i(h) = -13*h + 17. Let g(v) = 3*v - 4. Give l*g(x) - 2*i(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 6*q - 11 = -9*q, q = -p + 9. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 5*v - 5. Determine g(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.15 - 13.45. Let r be (-92)\/21 - ((-8)\/(-6) - 1). Put j, 0, r in descending order.\nAnswer: 0, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**3 - 96*l**2 - 1061*l - 33955. What is c(-32)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -20*t**3 - 27*t**2 - 25*t - 1. Let u(o) = -9*o**3 - 11*o**2 - 12*o - 1. Let v(l) = -4*k(l) + 9*u(l). Give v(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 124, -3, 0.6 in descending order.\nAnswer: 124, 0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -610 + 2109. What are the prime factors of x?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 - 2*a. Let w(q) = -9*q. Give i(w(l)).\nAnswer: -162*l**2 + 18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*p + 9 = 3, -f - 2*p = -5. Suppose f*h + 57 = 6*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*b - 9 = -3*c, -5*c + 13 = -b. Let k be 46*-1 + 4\/c. Let s = k + 62. Calculate the lowest common multiple of 20 and s.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (11\/33)\/(2\/(-318)). Let n = l + 69. What is the remainder when 95 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -14*j + 63*j - 19*j - 1 - 14*j - 11*j. Suppose 0 = -4*h + 3 + 13. Determine o(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from nllyn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -39163830, -78327660, -117491490, -156655320?\n\"Answer: -39163830*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -133.147163124602?\nAnswer: 133.247163124602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46 + -16 - 35)\/(1 + 51\/(-36)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 101.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 326424140?\nAnswer: -326424141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1651612934 and 391.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 49 - 139*p + 141*p to m + k*p and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.03 (c) 2\/11 (d) -49 (e) 6\/7 (f) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 16*w - 48. Calculate h(-18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a + 1172ba?\nAnswer: 117318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7777240 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(45\/(-30))\/((-12)\/(-4536548)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 3\/7 (c) -454\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13784 rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 440\/(10 + -5) + -6 + 3. What is the third biggest value in -3, k, -4\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 22988.2.\nAnswer: 22987.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zws when three letters picked without replacement from jwszjajzj.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpxp when four letters picked without replacement from {x: 13, p: 6}.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780707711?\nAnswer: 7, 17, 83, 79043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-45)*8)\/((-6)\/(-15)). What is the smallest value in 11, a, 0, -5\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from uhhg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 + 2*t - 13. Let k(y) = -y. Let v(p) = -i(p) - 2*k(p). What is the first derivative of v(q) wrt q?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-180)\/24)*(-21)\/(-35)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5592676*l*x**3 - 56860*l*x**2 + 2*l*x + 3*x**2 wrt x?\nAnswer: -33556056*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 10:40 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 160 + 162 + 157 - x**2 - x**3 - 93*x - 482 as p*x**3 + s*x**2 + a*x + i and give a.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibi when three letters picked without replacement from {i: 9, b: 3}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 8 - 13)*(8*r**3 + 2*r**2 - 2*r**2).\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 7*r = -3*t + 24, -5*r = -2*t + 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 101694 and 18.\nAnswer: 305082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 0, 1, -3, 4, 7672, -2 in descending order.\nAnswer: 7672, 4, 1, 0, -2, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b - 9*b + 29*b)*(3*b**2 + 4*b**2 - 5*b**2 + (b - b + 2*b)*(-2*b + 3*b + b) - 2*b**2 - b**2 + 4*b**2 + 4*b**2 + 13 - 13 - b**2 + 6*b**2 - 4*b**2).\nAnswer: 168*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jko when three letters picked without replacement from {j: 3, k: 1, m: 3, o: 6}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -429, 18, 1 in decreasing order.\nAnswer: 18, 1, 0, -429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -111 - (5 + -4 + -5). Let x = 160 + k. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-4\/9)))\/x)\/((x\/(x\/((x**(-5\/6)\/x)\/x)))\/x)*x\/((x\/(x**11\/x))\/x)*x\/(x**(-2\/9)*x) assuming x is positive.\nAnswer: x**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2428*d**3*q + 13*d**3 + 2*d**2*q**2 + 557*d - 5*q**2 + 2 wrt q?\nAnswer: -2428*d**3 + 4*d**2*q - 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 4*o - 4, 1108*k - 1104*k + 26*o + 64 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 794 + -528. Suppose -u + a = -3*u + 4*h, 105 = -u - 5*h. Let w be (-4043 + 3)\/((3 - 4)\/u). What is w rounded to the nearest ten thousand?\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54 - -5) + 5 + (21 - (36 + -17))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279 and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 8*f**2 + f - 8. Suppose 0 = 2*h - n - 20, -2*h + 52 = 3*h - 3*n. Let s be b(h). Suppose 6*y + s*y = 144. Is y greater than or equal to 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 0, 5, 37, 17, 24.\nAnswer: -5, 0, 3, 5, 17, 24, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -33*q + 35*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**2\/2 + 18478. Let y(f) = -3 - 2*f + 3*f - 5*f. Calculate y(h(v)).\nAnswer: -4*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10330, -10331, -10332?\n\"Answer: -c - 10329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40824, 81651, 122478?\nAnswer: 163305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*l - 2*d, l + d = 5*d - 16. Suppose l*c + 4*c - 32 = -4*a, 2*a = 3*c + 1. Sort 3, 1, a in increasing order.\nAnswer: 1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15417170.\nAnswer: 2, 5, 19, 53, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5473\/2 + -2778. What is the common denominator of z and 19\/111?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 46 = 49. Let q = l - -21. Find the second derivative of -t**2 + 9*t**2 + q*t + 0*t**2 wrt t.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*((z\/(z\/(z*z*z*z**(-13\/5))))\/z)\/z*z*z*z*(z**(-4\/11)*z)\/z assuming z is positive.\nAnswer: z**(112\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34780, -34767, -34748, -34723, -34692, -34655, -34612?\nAnswer: -34563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43822 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) 10\/373 (c) 1\/7 (d) -5 (e) -2 (f) -22\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11310, 22234, 33158, 44082, 55006?\n\"Answer: 10924*w + 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 917073.465 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 30 = 5*z + 8, 3*z + 3 = 3*a. Suppose -19 = -5*s - 3*k + 57, 8 = s - a*k. Solve -5 = -3*n + f, 2*n - 11 - s = 5*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 5, -5, -35, -91, -179?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 9*q. Let k(i) = 2761*i**2 - 1072*i. What is k(p(x))?\nAnswer: 223641*x**2 - 9648*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.0824 + -32.0994. Let l = k + 26. Let y = l + 0.01699921. Round y to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 16*s + 13. Suppose r - b = 4*b - 14, -4*r + 40 = 4*b. Is v(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 725 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 167, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 20. Let h be y(0). Is (-1784)\/h - 1\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28625111?\nAnswer: 28625111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -77362, -154432, -231502, -308572?\n\"Answer: -77070*w - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 minus -2184?\nAnswer: 2185.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1 - 10*d**2 + 5*d + 8*d**2 + 3*d**2. Determine x(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11091, -3, -0.5, -0.01, 18 in decreasing order.\nAnswer: 18, -0.01, -0.5, -3, -11091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 6 = 0, -c + 5*j - 23 + 63 = 0. Suppose -h = h - c. Suppose 36 = 4*o - 5*b, -4 = 4*o + 4*b + b. Solve -o*v + v = -h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(-437) + 12\/26 + (-1009976)\/1136200?\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-915860)\/(-234) + (-10)\/65 - 88\/(-396)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 17715*h + 329. What are the prime factors of z(1)?\nAnswer: 2, 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -173, -1\/3, -130?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 22, 4, 1, 34?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*f = 30, -f - 29 = -2*t + 1. Let w be 170\/t - (-2)\/3. Let u = -12 + w. Is u greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -1\/840*v**8 + 5*v**2 + 0*v**3 + 0*v**4 + 1\/100*v**6 - 1\/75*v**5 + 0*v + 0*v**7 + 0. Factor o(r).\nAnswer: -2*r**2*(r - 1)**2*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjj when three letters picked without replacement from {j: 6, c: 13}?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 34304031.\nAnswer: 240128217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 - -117. Suppose 0 = 2*i + 3*x - t, 0*x = -4*i - 3*x + 120. Suppose -3*z + i = -0*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -52*r**3 + 16512*r**2 - 847268*r + 2045208 = 0?\nAnswer: 33\/13, 61, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y = -69. What is the remainder when ((-2460)\/105)\/(52\/(-910)) is divided by y?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = c + 9, -27*c = 2*x - 26*c - 11 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u, -y - 7*u - 1 = -2*u + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/12, -31, -18\/13, -0.4, 0.4?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = 0, -3*p - 473 = -5*p - 3*s. Suppose 13*c + p = 17*c. Calculate the highest common divisor of c and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25875 by 207.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/2 (b) 12145 (c) 0.11 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j*j**(-6)))\/((j\/j**(-2\/3))\/j))\/(j**(-5)*j**(-1\/8)))\/(j**(1\/3)*j**(-6))**45 assuming j is positive.\nAnswer: j**(6347\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18453 - -18449. Which is the smallest value? (a) 50 (b) 1 (c) v (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {u: 1, o: 10, e: 9}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3991 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 185919409 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u - 3 = -x, 0 = -2*u + 2*x + 10. What is the smallest value in 1, u, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = 2*s + f, -15*f = 23134*s - 23131*s + 60 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 40.46. Let p = 0.56 + z. Let x = 0.13 + 0.17. Sort p, -10, x in decreasing order.\nAnswer: x, p, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18532 plus 62.3?\nAnswer: 18594.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2. Let n(c) be the third derivative of -c**5\/6 - 3*c**2. What is n(a(m))?\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsj when three letters picked without replacement from jjsjsssssssssss?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 1193*d**5\/3 - 5966*d**4\/3 - 1589*d**3 + 23864*d**2\/3 - 20*d\/3 = 0.\nAnswer: -2, 0, 1\/1193, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + w + 2. Let t(k) = -6*k**2 + 26*k - 68. Let l(h) = 5*f(h) - t(h). Determine l(13).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 6. Let q(l) = -1173*l**2 - 1380. Determine q(o) - 230*r(o).\nAnswer: -1403*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (238*g - 100*g - 303*g)*(1 + 2 - 2).\nAnswer: -165*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42750 = 39746*o - 40696*o for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from bhhcnbee.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 30441035 (base 7) to base 11\nAnswer: 149024a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*sqrt(132)*-1*5)\/((sqrt(576)*-2*1)\/sqrt(12)).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14553 * 1\nAnswer: 14553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -2. Let n(h) = -h**2 - 1. Let c be n(a). Let k(j) = 4*j**2 - j - 2. Let q be k(c). Solve -q = -3*i - r, -i - 12 = -3*r - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 4*j + 2. Let g = 3 - 5. Let i be b(g). Let k(c) = 15626*c**3 + 3*c**2 + 2*c. Let s be k(i). What is s rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 113*f + 7. Suppose -3*v - 16 = 2*y, 20 = -9*v + 4*v. Let o be z(y). Round o to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 22. Let a be m(-9). Suppose 0 = 2*n - 5*f - 65, -f + 4*f = 2*n - 71. Let s = n - a. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**3\/3 - 2*g**2 - 6*g + 2. Let m(a) = 1. Let r(u) = -9*u + 3. Let s be r(1). Let p(o) = s*m(o) - t(o). Factor p(f).\nAnswer: f*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -5, -10, -31, -74, -145, -250?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + w + 2. Let a be t(0). Suppose o = s + 10, 3*s + 40 = -0*o + 5*o. Put a, o, 1 in increasing order.\nAnswer: 1, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o**2 + 1. Let v(t) be the second derivative of t**4\/3 + t**2\/2 - 7*t. Let r(m) = 2*l(m) - 5*v(m). Find the first derivative of r(h) wrt h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, 0.2, -2\/7, -0.05, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122 by 275079.\nAnswer: -122\/275079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/(345\/4)*(-6)\/(-4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 - -471. Calculate the lowest common multiple of (-4)\/6*(g\/(-16) - -2) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4043.678 nanoseconds to milliseconds.\nAnswer: 0.004043678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1035\/(-92))\/((27\/(-24))\/(-3))*72\/36?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 131121021 (base 4) in base 6?\nAnswer: 2325213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5\/2))**(-8\/9) assuming w is positive.\nAnswer: w**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 + 24998*f**2\/3.\nAnswer: 2*f**2*(f + 37497)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) 3\/5 (c) 8 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + u = -32, -2*l + 34 = 2*l + 2*u. Let d = 5 - 3. Suppose -v = -d*v + 13. What is the remainder when v is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005522721 rounded to four decimal places?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000523811297 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 256672?\nAnswer: -256683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from eeiiie?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671970514?\nAnswer: 2, 335985257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 2*u + 2*u)*(-3 + 4 + 1) + (-5 + 5 - 2)*(0*u**2 + 3*u**2 - u**2) + 2*u**2 + 0*u**2 - 4*u**2 + 0*u**2 + 7*u**2 - 2*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109972.4283 microseconds to weeks.\nAnswer: 0.00000018183271875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 391 - 238 = -3*n, u + 650 = -4*n. What are the prime factors of 387\/11 - (-116)\/u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7366 + 7365.69248. What is t rounded to 2 dps?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = d - 43 + 42, 2*x + d = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**7\/630 + z**6\/180 - z**5\/40 + z**4\/6 - z. Let r(x) be the third derivative of t(x). Does 21 divide r(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410456391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 1 - 3135*h**2 + 6298*h**2 - 3162*h**2. Let m(g) = -18*g**2 + 2*g + 3. Calculate -m(s) + 4*u(s).\nAnswer: 22*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3463135209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 6:53 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.1 and -180.\nAnswer: -181.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**4\/12 - 24*w**2 - 53. Let a(q) be the second derivative of z(q). Calculate a(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 62*n + 34*n + 30*n)*(3*n**3 - 3*n**3 + 2*n**4).\nAnswer: 4*n**5 - 50*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1190, 1179, 1170, 1163, 1158?\n\"Answer: z**2 - 14*z + 1203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4264\/(-10) - (-4)\/10. Let s be (-132384)\/(-108) + (-4)\/(-18). Let t = s + w. What is t rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1638.79 - -1763.7216. Let f = -0.0684 - k. Which is greater: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15806918431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**4 + 4*r**4 - r**4 + (43*r**2 - 43*r**2 + 29*r**3)*(-3 + r + 3) in the form d*r**3 + u + p*r + i*r**2 + j*r**4 and give j.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*t + 5 = 4*t, -5*t + 1 = -3*o. Suppose 5*r = -4*i, -3*i + 7*i - 32 = o*r. Calculate the remainder when 66 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -2\/3, 2, 1\/388 in decreasing order.\nAnswer: 17, 2, 1\/388, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -y + 17, -5*y - 2*j + 16 = -0*j. Let c be 13 - 9 - (-12)\/y. Suppose 12 = k + c. Solve k*a = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + 2*z - 14. Let j(k) = -2*k - k + 2*k - k**2 + 7. Let c(o) = -5*j(o) - 2*s(o). Suppose 3*a - 9 = 0, 3*p = -2*a - 3*a + 15. Calculate c(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6511\/(-39066) - (2\/10)\/(24\/76)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211222012 + 101000?\nAnswer: 1212100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(81)\/sqrt(3) + 5.\nAnswer: 2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -3\/2 (c) -10937309\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. Let v be ((-8)\/(-12))\/(289\/51 - 6). Let k be 1\/(2\/4 + 6\/(-8)). Sort v, 4, k, h.\nAnswer: k, v, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*s + 88 = 37*s - 61*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(110)\/sqrt(2))\/sqrt(11))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(68\/(-18)) - (214\/(-34))\/((-288)\/2448)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 14892*d**2 - 409*d + 1252. Is u(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**3 + 14*w**2 + 1860*w - 41400 = 0.\nAnswer: -46, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.863 - -1168.673?\nAnswer: 1178.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.06891386 to two decimal places.\nAnswer: -20.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165\/(-6)*((-24)\/(-210))\/(47\/987).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-114)\/1235*(132 + (-1 - -4)). Which is smaller: -11 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1203 - -1205. Solve y - 2 = -s*h + 5*y, 4*h + 3*y = -7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 21 + 25 = 0. Let b(f) be the second derivative of 0 + 0*f**3 - 5*f + 1\/3*f**4 - 3\/2*f**u. Differentiate b(s) with respect to s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/2 (b) -0.4 (c) 5 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(252)\/sqrt(4))\/sqrt(3))\/sqrt(7) + -4 + ((1*sqrt(27) + 1)*3)**2).\nAnswer: 165*sqrt(3) + 744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*r - 22, 10*v + 4*r + 14 = 11*v. Suppose v*g - 3*a - 73 = 4*g, -5*a - 5 = 0. Calculate the remainder when g is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 447193 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 104460294 - -0.12\nAnswer: 104460294.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4 - 3. Let o = 15 - -41. Calculate the greatest common divisor of o and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -12*f**3 - 11*f**2 + 5*f + 29. Let l(s) = 25*s**3 + 22*s**2 - 12*s - 68. Calculate 3*l(q) + 7*y(q).\nAnswer: -9*q**3 - 11*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a + 10 - 10)*(-229*a**3 - 21*a**3 - 585*a**2 - 5*a + 585*a**2 + 3*a) in the form j + u*a**4 + n*a**2 + g*a**3 + z*a and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**3 - p**2 + 6*p + 133. What is z(0)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3\/(-9))*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 461 - 2506 + 3*k + 0*k - 20*k**2 - 3*k.\nAnswer: -20*k**2 + 2*k - 2967","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*(sqrt(17) + 2 + sqrt(17)))**2.\nAnswer: 160*sqrt(17) + 1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 j, 1 m, and 1 p when four letters picked without replacement from {j: 1, w: 2, h: 4, p: 4, t: 2, m: 1}.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -505.5\nAnswer: -507.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 9252*o**5 + 27759*o**4 - 138771*o**3 + 157239*o**2 - 55461*o - 18 = 0. What is o?\nAnswer: -6, -1\/3084, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -221 (base 5) to base 16\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 85. Let o(x) = -2*x - 169. Give 5*n(r) - 3*o(r).\nAnswer: r + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 767 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 36*f**5 - 115881672*f**4 + 38627200*f**3 + 64378696*f**2 + 12875740*f = 0?\nAnswer: -1\/3, 0, 1, 3218935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1266 + 618. Let a = 1056 + b. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n. Let m(p) be the third derivative of 1\/12*p**4 + 0 + 0*p - 1\/30*p**5 + 28*p**2 + 0*p**3. Give h(m(c)).\nAnswer: -2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-6)*15\/(-5). What is the greatest common divisor of 55 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/(132\/(-8)) - (-17)\/3. Solve 0 = -4*x - j*o - 8, 4*x - 13 = x + o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and -84.816 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*x + 5716, f = 4*f + x - 4288. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(-8)\/(-140)*(-10)\/12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 - 1784*w + 96159. Determine z(51).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*n**2 - 71 + 146*n**2 + 142 - 71.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003524953 to 4 dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 32*i**2 - 18*i**2 - 17*i**2 as w*i**2 + y*i + q and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1465*u**3 + 1319*u**3 - 3*u**2 + 7*u**2 - 4*u**2 - 490*u**3.\nAnswer: -636*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -127 - -179. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 7*b. Let t(q) = q**2 + 6*q. Suppose -2*i + 22 + 2 = 0. Suppose -w - 2*w = -i. Suppose 30 = -w*z - z. What is z*m(f) - 7*t(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77760 = 35*r - 17*r. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 452116 + 0?\nAnswer: 452116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26204 is divided by 117.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*k + 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4*z = -13, 3 = 2*z + 7*z - 10*z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13848 times 3\nAnswer: 41544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 3477*n + 2167*n + 2 - 3 + 2122*n + (2 + 3 - 3)*(2*n + 1 - 1) in the form r*n + o and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1460\/667 + -66\/29. Let m = -197 - -197. Let q = m + 3. What is the third biggest value in -5, q, -6, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 17. Suppose 6 = -c*x + 66. Find the third derivative of -144*z**2 + 63*z**2 + 64*z**2 - x*z**3 wrt z.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/10 - w**2. Let k = 61 + -52. Let s(d) = 7*d**2 - 23*d**2 + k*d**2 + 5*d**2. Determine q(s(m)).\nAnswer: 24*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6920604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79.18 - -5.02. Let n = 2146 - 2062. Let p = o - n. Which is the nearest to 0? (a) 1\/4 (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i**2 + 3*i + 1. Let k be s(4). Let u = -17 - k. Does 22 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9069500 is divided by 4254.\nAnswer: 4226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 + 10 - (217 - 250)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -852485, -854617, -856749, -858881?\nAnswer: -861013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 15*h - 18*h - 12471, -3*h = 11*t - 45783. Is t a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -2117*i**4\/4 + 371*i**3\/3 + 7*i**2\/2 - 3306. What is the third derivative of c(q) wrt q?\nAnswer: -12702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6741 is divided by 1148?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -g - 3*w - 168, -3*w - 123 = 3*g. Let j = 78 + g. What is the remainder when j is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i + 2*i + 23*i - i - 2*i + i + (-2 + 0 + 3)*(-1 + 1 + i) + i + 0 + 0 + 4 - 4 + 2*i + 0 + 0 + i - 14*i - 35*i + 129*i in the form d*i + y and give d.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 3, 0.03, -0.5, 6530?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.026, 0.9 in ascending order.\nAnswer: -0.026, 0.1, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + (-3*((sqrt(52) - -6*sqrt(832)) + sqrt(52)))\/((2*sqrt(36))\/sqrt(9) + sqrt(36)\/(sqrt(9) - sqrt(45)\/sqrt(5) - sqrt(9)))))**2.\nAnswer: -2496*sqrt(13) + 1265488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 301, 635, 1095, 1771, 2753, 4131, 5995?\nAnswer: 8435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22021252 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/90 and 7\/2340.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*d + 5*d + 43*d - 374*d)*(2 - 21 + 38).\nAnswer: -7049*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 26. Let d be v(45). Suppose 25 = 5*a, 6 = 5*z - a - d. Solve s - 14 = 4*w + z, -3*s = -w - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -18207?\nAnswer: -36414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 10:20 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*(-4 + -5 + sqrt(1900)*-2) + 2)**2.\nAnswer: 11520*sqrt(19) + 275904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111*r**3 + 11*r**3 - 170*r**2 - 124*r**2 wrt r.\nAnswer: 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -74559020 and -74559018 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9239756.\nAnswer: 2, 73, 31643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + 3*(sqrt(104) + sqrt(104)*2 - sqrt(104)))\/(sqrt(128) + sqrt(128)*-2) + -2.\nAnswer: -7*sqrt(13)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 266472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -64, -100, -138?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + v + 5. Let l be 0*2*(-2)\/4. Let o be s(l). Suppose -x + o*x = 28. What is the lowest common multiple of x and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 10:20 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342759606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39a7 + 0?\nAnswer: -39a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 105*b**2 + 2*b - 2. Is v(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a millennium in years?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 553 - 603 = 0. Let a = 1142 - t. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*q + 3*x, -q + x + 10 = 2*q. Suppose 4*g = -r + 102 + 955, -2*g - q*r = -530. Let b = -39 + g. Is 27 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - 10*j**2 - 15*j**2.\nAnswer: -26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 6*u + 18. Let d be m(8). Suppose -4*c = -9 + 1. Determine o, given that -2*o**2 - 2*o**d + 2*o**2 + o**c = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**5 - q**2. Let a(u) = 165*u**5 + 237*u**2. Let x(d) = -a(d) - 18*t(d). Find the third derivative of x(h) wrt h.\nAnswer: -10980*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4 + 188*p**3 + 12788*p**2 + 371968*p + 3919872 = 0. Calculate p.\nAnswer: -66, -58, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**4\/24 - 3*h**3\/2 + 5*h**2. Let m be r(-5). Which is the closest to 1\/3? (a) -5 (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a95 - 1?\nAnswer: -2a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - j + 12 = 0, -2*j + 9 = n - 0*j. Let i = -12 - -29. Suppose 0 = 4*s - i - n, g + 3*s = 205. Round g to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 15 + 13 - 5*m**2 + 6.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 78.1133?\nAnswer: 39.05665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = -2*y + 4*y. Suppose t - y = -5*w + 135, 191 = 5*w - t. Suppose 15 + w = 9*i. Calculate the least common multiple of i and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -77 - 3*n**3 - n + n**2 + 77. What are the prime factors of v(-2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44098, -44320, -44542, -44764, -44986?\nAnswer: -45208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.1 - -2.1. Let h = -1.2 - -0.2. Put h, -1\/6, c in descending order.\nAnswer: -1\/6, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 2:30 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2757 a factor of 15444851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1330297 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 30. Let k be s(0). Let o be (k\/(-35))\/((-2)\/(-7)). Calculate the least common multiple of 28 and (-332)\/(-28) + o\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -192002 + 0?\nAnswer: -192002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14034 by -2.\nAnswer: 7017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-363)\/(-330) - ((-24)\/10 - -2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20652, 143913, 478480, 1130007, 2204148, 3806557?\nAnswer: 6042888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -161, -5.\nAnswer: -161, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 22. Solve -2*y + 16 = -5*l, -v*l + l = -y + 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1898 at most 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 399 + -379. Suppose 4*z - 48 = -0*z. Calculate the least common multiple of z and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 566*r - 19702. Let l(d) = -50*d + 1791. Give -6*k(j) - 68*l(j).\nAnswer: 4*j - 3576","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) 5\/4 (b) -223 (c) -0.5 (d) 3\/8 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -m + 8, -113*f - 20 = -118*f - 2*m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 18 - 170)*(24*b - 344 + 344) as j*b + r and give j.\nAnswer: -3384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/14166 and 80\/25971?\nAnswer: 155826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -22. Solve y - 4 = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1393.959 + -1394. What is the closest to -2 in s, 3, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1834, 1833, 1832, 1831, 1830, 1829?\n\"Answer: -p + 1835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 4*u - 11, -27*u + 4*c - 6 = -24*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707847495?\nAnswer: 3, 5, 47, 239, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 11 = 46. Suppose -q - 1560 = y*q. Round q to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2594.826 + -2601. Let k = u + 5.66. What is k rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.3 - -8. Let l = 11\/5 - 61\/30. Let n = -74652 - -74653. What is the nearest to n in p, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/18)\/(-2)*3\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*(84\/(-3))\/(-28).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/922 - -27639\/6454. Let f = u + -353\/84. Let p = 45179\/6 - 7512. What is the common denominator of p and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssdssssdsss. What is prob of picking 1 s and 2 d?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-290))\/(175\/(110250\/252)).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 0, 0.56726605?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15911475 divided by -9015.\nAnswer: 1765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from {n: 2, d: 2, f: 1, e: 1, i: 2, h: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*g**2 + 0*g**2 + 5*g**3 + 2*g**2 - 3*g - 5*g**2 + 0*g**2 to the form p*g + z*g**2 + o + v*g**3 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-1*(0 + 1)). Let n be (210\/8)\/(c\/(-14)). Let i = 120 - n. What is the common denominator of i and 54\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-2)\/7 + 14\/(-4).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 38\/(-114) - 10\/(-3). Suppose -p = -5*f + 16 + 3, -d*f + 14 = 2*p. Let q(m) = 11*m + 2. Let w(y) = 1. Give p*q(x) - 2*w(x).\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 190*q**3 + 55*q**2 + 55*q + 55. Let k(n) = 7*n**3 + 2*n**2 + 2*n + 2. Suppose 3*i = x - 17, 4*i + 26 + 0 = 3*x. Determine x*f(r) - 55*k(r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2. Let z(i) be the second derivative of i + 0 + 1\/2*i**3 + 0*i**2. Give z(y(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -4.4. Let f = -0.11 - -0.03. What is the nearest to 0 in c, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71212365?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143880640 divided by 2?\nAnswer: 571940320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b - 1394000. Let k be v(0). Round k to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -664, 0.1, 0 in decreasing order.\nAnswer: 0.1, 0, -664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9251 divided by -169?\nAnswer: -9251\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.3, -5\/2, -23, -2 in descending order.\nAnswer: 0.3, -2\/3, -2, -5\/2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 140 + -169. Let s = -33 - u. Sort s, -0.3, -37, -2.\nAnswer: -37, s, -2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - q + 21 = 0, -8*q + 55 = 5*h - 6*q. Suppose 24 + 226 = 5*j. Calculate the remainder when j is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/306768 and -173\/90304830.\nAnswer: 722438640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-8)\/(s\/s**(-6))*(s\/s**(-1\/2))**(1\/5) assuming s is positive.\nAnswer: s**(-147\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 3 (c) 1\/16 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.69889 and 920255.\nAnswer: 920255.69889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1 + 2 + 0*j**2 - j - 2 + j**2. Let r be k(2). Suppose 0 = -5*m + r*o + 2*o + 110, -o - 88 = -4*m. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**2 + 4*f**2 - 155*f - 162*f + 4*f**3 + 302*f as k*f + a*f**2 + j + t*f**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10197, 20608, 31389, 42726, 54805?\nAnswer: 67812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23612 (base 9) to base 6.\nAnswer: -201102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*i**2*r**3 + 15100*i**2*r**2 - 2*i**2 + 5407*i*r**3 + 14*i*r**2 wrt i?\nAnswer: -14*r**3 + 30200*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*sqrt(45)\/(sqrt(441) - (sqrt(441) - (sqrt(441) + 1*sqrt(441)))) - ((5*-2*sqrt(80)*-6)**2 + 5).\nAnswer: -288005 + 15*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o + 990 = o. Solve o - 42 = 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -392, -396, -398, -398, -396, -392?\n\"Answer: c**2 - 7*c - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-6)\/9)\/(2\/(-6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/12)\/((-14)\/(-56)). Suppose 2*a - 6 + 2 = 0. Sort a, -1, c, -2 in ascending order.\nAnswer: -2, -1, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1227, 1170, 1061, 882, 615, 242, -255, -894?\n\"Answer: -3*b**3 - 8*b**2 - 12*b + 1250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16532231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 279276058 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-6\/11))\/g**22*(g**5)**(-1\/3) assuming g is positive.\nAnswer: g**(-766\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-48)\/84 - 38\/(-91))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 - r**3 - 11*r**3.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - 60) + 59 + -27 + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780847 is divided by 230?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2457, -4914, -7371, -9828?\nAnswer: -12285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69*s + 69*s + 73*s**5 + (1 - 3 + 4)*(-5*s**5 + 4*s**5 + 0*s**5) - 2*s**4 + 3*s**4 - 4*s**5 + 3*s**3 + 5*s**5.\nAnswer: 72*s**5 + s**4 + 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.24 and 68.6?\nAnswer: 68.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y + 35. Let i be j(-8). Solve -15 = -i*s + w, -w = -5*s + 11 + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55824 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**2 + 13. Let b(a) = 3*a**2 - 9. Calculate 7*b(g) + 5*m(g).\nAnswer: g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.86 to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -1dd7586?\nAnswer: -1dd7587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v + 4*v)*(8*v + 120 - 120).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -192*k**3 - 186*k**3 + 366*k**3 + 2*k**2 + 2 - 2*k in the form v*k**3 + q*k + u + c*k**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7 (b) -2\/13 (c) -1\/3 (d) 1.9 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(72)\/sqrt(8)))**2 + sqrt(7) - (sqrt(175) + -1 + sqrt(175) - sqrt(7)) - -1*sqrt(28)\/(-3*sqrt(196) + sqrt(196)).\nAnswer: -113*sqrt(7)\/14 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 12:48 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = f - 245. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 104 = -5*v. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -30*h - 228 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, -11, 2\/11, 1\/4, 3, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 5 + 0)*(-1 + 1 - 2*s)*(4 - 5 - 4).\nAnswer: 450*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -1\/33066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 8*h**2 + 3*h - 9. Let s be p(8). Let t(c) = -2*c**2 + c + c**3 + 2*c**2 - s + 18 + 4*c**2. What is t(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 - 249*h**2 - 2365*h + 3287. What is b(-114)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a**3 - a**2 - 2*a + 1. Let n(g) = 5*g**3 + g - 2. Let y(u) = 4*b(u) + 5*n(u). Calculate the remainder when 13 is divided by y(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 3176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o. Let z(d) = 1965*d + 4. Calculate z(g(h)).\nAnswer: 3930*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from pdkhl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-154)\/(-33) - (-2)\/6 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 342\/(-72) + ((-9)\/(-4))\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.22, 557, -0.06 in decreasing order.\nAnswer: 557, 0.22, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/11))**(-15)*((x\/(x*x**(-6\/17)))\/x*x)\/x**(1\/3) assuming x is positive.\nAnswer: x**(4601\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.36 + 0.04. Let l = 0 - f. Let t = 58.8 + -59. Which is the nearest to -1\/2? (a) 4 (b) l (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 3*x**2 + 80*x + 206. What is m(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, -1, -4, 7 in increasing order.\nAnswer: -88, -4, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 89\/2 of a litre?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*4\/(-60)*9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4819 + -2328. Suppose 5*k - 1519 = a. What are the prime factors of k?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**3 + f - 4*f**3 + f**4 + (0*f - f - f)*(2*f**3 - 7*f**3 + 2*f**3).\nAnswer: 7*f**4 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2)*(-102)\/(-9). Let t = -12 - c. Suppose 0*h - 90 = -t*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a + 54. Let v be u(11). Suppose 0 = 5*m + v - 645. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 3 (c) 1\/4 (d) 0.1 (e) 0.1342\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*a - 8, -5*v - a = -26 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -8*c - 109. What is h(0)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/4 - 3292\/(-8) is divided by 80.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 + -37. Suppose 9*t - f = 4*t. Suppose 3*g - 20 = -s - 4*s, 0 = -t*g - 3*s + 60. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from hhbghhbgjgt.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1447*j - 720*j - 727*j - 7377*j**2 - 766*j**2 as r*j + h + u*j**2 and give u.\nAnswer: -8143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w = 3. Suppose 6*x + 48 = 3*x. Let b = -10 - x. Solve b*p - 19 = p + 4*r, 2*p = -3*r + w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 618123 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {d: 6, x: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/25 - 18610174\/8. Let r = s - -2325798. Let k = -1869\/4 - r. Find the common denominator of k and -29\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(6336) - sqrt(44))\/((sqrt(196)*-2 - sqrt(196)) + sqrt(196) + sqrt(4)).\nAnswer: 25*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*j**2*m**5 - j**2*m**2 + j**2 + 7*j*m**5 - 7*m wrt m.\nAnswer: -540*j**2*m**2 + 420*j*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/42 and 31\/1722?\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 160897 + 2?\nAnswer: 160899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(4) - sqrt(32)\/sqrt(288)) - (sqrt(45)*1 - (-2 + sqrt(5))*6))**2 + 3.\nAnswer: -792*sqrt(5)\/5 + 1824\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 h when three letters picked without replacement from hvuttttu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 231853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*i + 18 = 5*t, 0 = -t - 2*i + 12. Solve 0 = 4*p - t*p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5620, -5669, -5742, -5833, -5936, -6045, -6154?\nAnswer: -6257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -7 + 92\/4. What is the greatest common factor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4d13d (base 14) to base 5\nAnswer: -22031322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 43 - 35*h - 2*h - 25*h**2.\nAnswer: -25*h**2 - 37*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 80, 283, 624, 1109, 1744, 2535, 3488, 4609?\n\"Answer: u**3 + 63*u**2 + 7*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**4\/12 - 4*g**3\/3 + 5*g**2 + 2*g. Let t be l(7). Suppose -2*o = 2*n + 4, -t*o = -2*n - 0 + 1. Sort 2, n, -3.\nAnswer: -3, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.876481 or -0.1?\nAnswer: -3.876481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/5)*b\/((b\/(b\/(b*b**(2\/15)\/b)))\/b)*(b*b\/b**(-6))\/b**(1\/10))\/(b**(7\/3)\/b**(-2\/19)*(b*b**(-2\/29))\/b**7) assuming b is positive.\nAnswer: b**(208229\/16530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 - -4 - (-3 - -1). Let b(y) = -3*y + 0*y + 0*y + j*y. Let a(r) = r**2. Calculate b(a(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 20*c + 8*c + 19*c - 41*c - 53 to the form j + z*c and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10586 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 2*n - 2 + 4, -5*p = 5*n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) 1\/2 (c) 0.2 (d) -89 (e) 513 (f) -2 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 730?\nAnswer: -7300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/3)*q**(-2\/9))**14)**(1\/9))**(-35) assuming q is positive.\nAnswer: q**(-490\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*(-4 + (0 + sqrt(176))*-5 + 1*(0 + sqrt(176)) + 0))**2*2.\nAnswer: -22656 - 1024*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h + 13*h - 132. Which is smaller: -7 or h?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 32 + 8*d**3.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1\/9 (b) -1\/2 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*l + 96 = -85*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 23. Let l be y(-18). Let i(z) = 2*z**2 - 20*z - 192. Let j be i(16). Sort -1, j, 4, l in decreasing order.\nAnswer: l, 4, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/17)*d*d**11 assuming d is positive.\nAnswer: d**(203\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12954 - -12956. Sort b, -0.3, -17.7 in increasing order.\nAnswer: -17.7, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -85, -332, -743, -1318?\n\"Answer: -82*u**2 - u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 9*k**2 + k + 2. Let t = 89 + -80. Let m be r(t). Find the first derivative of m + w**4 - 4 - 27*w**4 wrt w.\nAnswer: -104*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 415 - 417. Which is the closest to 3\/7? (a) q (b) 2\/11 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -2\/48631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2 - 112*n = 0.\nAnswer: -56, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -1, 37, 687\/16?\nAnswer: 687\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -112*l**2*v**3 + 3*l**2*v**2 - 2*l*v - 3753*v**3 wrt l?\nAnswer: -224*l*v**3 + 6*l*v**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 4*m**2. Let o be q(-4). Let j be -4*(o + -2)\/4. Suppose -3 + s - 4*s**3 + 5*s**3 + 3 - j*s**2 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 2. Let a = z - -14. Let c = 5.0006 - a. What is c rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 12) in base 7?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*-3 + 3)**2.\nAnswer: -216*sqrt(3) + 3897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176702548?\nAnswer: 2, 11, 1997, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -859, -1722, -2583, -3442?\nAnswer: -4299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -5*a**3\/6 - 2*a**2 - 12*a - 4. Let w(z) = -z. What is -l(g) + 6*w(g)?\nAnswer: -g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 10 = -2*a, 18*a - 17*a + 3 = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 15734, -2, 30028 in descending order.\nAnswer: 30028, 15734, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 18*d - 18. Let u be i(-8). Let f = -62 + u. Solve 2*c - 9 + 5 = f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -284, -1160, -2608, -4616, -7172?\n\"Answer: 2*g**3 - 298*g**2 + 4*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41082934*y**2 + 12951084*y - 3 wrt y?\nAnswer: 82165868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2)*3)\/(2676\/(-1784)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -71? (a) 0.5 (b) 0.68 (c) -0.4 (d) 2\/15 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 3:41 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3198107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 1 - 2. What is the derivative of -2*r**3 + 0*r**o - 2 + 6*r**3 wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/3)\/(2\/(-3)). Suppose -12 = -n*d + 8. Suppose -d*v - t + 36 = -5*t, -2*v + 12 = -5*t. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35a86 (base 12) in base 10?\nAnswer: 72390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*g**2 + 37*g**2 + g + 38*g**2 - 101*g**2.\nAnswer: 6*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 1849*n**4 - 192984*n**3 - 2634417*n**2 - 11263192*n - 15734160 = 0.\nAnswer: -5, -164\/43, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - 47?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 2)*(4*v + 4*v - 3 - 5*v).\nAnswer: 21*v - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 256 and 8867072.\nAnswer: 8867072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 137513145.\nAnswer: 137513145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352 a factor of 29739593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4\/5 + 53456*h**3\/5 - 178543028*h**2\/5 - 357299912*h\/5.\nAnswer: -4*h*(h - 6683)**2*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*z - 5524 = 0, 67*z + 9237 = 5*u + 68*z. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -50*2*(-1)\/(-4). Let t(m) = -113*m - 241. Let z be t(-2). Let r = z - g. Calculate the highest common divisor of r and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.2714967ng?\nAnswer: 0.0002714967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**3\/3 + 10877278*j**2\/3 - 32631848*j\/3 + 21754568\/3 = 0?\nAnswer: -5438642, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 8*i - 2*i**2 + 13*i**2 - 8*i**2 - 6.\nAnswer: -2*(i - 3)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*q + 165*q = -185*q + 103788. Solve 8*r = q - 412 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emenmweeweweneeenwne. What is prob of picking 1 w and 2 n?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 27 + 9 = 0. Let d be 108\/(-9)*(-2)\/q. Solve s = d*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41057520 + -4?\nAnswer: 41057514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**4\/12 + 2*m. Let c(t) be the first derivative of 2*t**3\/3 - 8. Determine b(c(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 896 divided by 896.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -399958*y**3 - 451*y**2 - 142*y?\nAnswer: -2399748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l**2 + 37 - 74 + 37.\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 73.03.\nAnswer: 72.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9359054 to the nearest integer?\nAnswer: 3059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 79412.71l?\nAnswer: 79412710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 190607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 18*w - 36. Let g be d(21). Let s be (-6)\/g - 43\/9. What is the closest to -3\/2 in 0, 2\/9, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**4\/24 + 65*s**3\/6 + 2*s**2. Is q(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141, 2, -3 in increasing order.\nAnswer: -3, 2, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17801*p = 17802*p - 2*b - 26, 0 = 5*b + 60 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -2\/3, -12, -1\/240, -8, 10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 554, 1083, 1612, 2141?\nAnswer: 2670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2\/2 - 19264923*c - 123712419398643\/2 = 0. Calculate c.\nAnswer: -6421641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 236946 and 5865.\nAnswer: 1184730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -79, -154, -221, -274, -307?\n\"Answer: c**3 - 2*c**2 - 76*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 - (3 + 0) - 2. Let x(d) = -2*d**2 + p*d**2 - 3*d**2 + 0*d - d. Calculate x(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 12096925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -198*l + 206*l - 7752. Let y = l - 966. Solve -y*k = 3*d - 9, -2*k + 1 = -d - k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2136, -8557, -19272, -34293, -53632?\nAnswer: -77301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)\/(((x**(-9)*x*x)\/x)\/x))**(2\/9) assuming x is positive.\nAnswer: x**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3999981 - 0.1.\nAnswer: 3999980.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4 - 18*l - 2 to d + v*l and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 + 9*t - 241 + 77 - 7*t + 16*t + 89.\nAnswer: 18*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.566608 to two decimal places.\nAnswer: 4.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*b**3 + 1\/3*b**5 + 4\/3*b**4 - 10\/3*b**2 + 8\/3 - 4\/3*b = 0. Calculate b.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*f + 0*f + f)*(-541 + 541 - 12*f) + 4*f**2 + 0*f + 0*f as s + h*f**2 + p*f and give h.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 15 = -b - 0*b, 24 = 3*p + 4*b. Let m be 68\/p*-3 - 0. Let r = m - -73. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -132, -2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*f + 18432, -11*f + 15*f - 36849 = u. Is 34 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32811803 or -32811802?\nAnswer: -32811802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3*182\/39)\/((-98)\/252)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35335726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 6 = 2*h - o, -o + 12 = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/294 and 39\/35.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 = -t - 3*r, 5*r = 10. Calculate the common denominator of (t\/1)\/((-4)\/24) and 102\/(-4)*4\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.09 - 0.03. Let t = z + -0.36. Sort 5, t, -5\/3.\nAnswer: -5\/3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 212*p**3 + 741*p**2.\nAnswer: 1272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -477.848 - -477. Let q = g + 0.748. Let n = 37 + -15. Is n bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 138 - 118. Solve -13*g + 9*g = -f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50245*l - 99721*l + 58694*l to i + o*l and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6566 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1534 or 1533?\nAnswer: 1534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/((-15)\/(540\/12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*h - 291, -67 - 221 = -2*h - 2*v. Let d = h - 105. What is the remainder when d is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*w - 2929*w**4 + 341*w + 2561*w**4 wrt w.\nAnswer: -4416*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 52?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 2, 1157*j + 18 = 3*p + 1160*j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 11*r + 2127. Suppose -5*d - r = -3524. Is 33 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2489, 3355, 19217, 50107, 101035, 177011, 283045?\n\"Answer: 835*z**3 - z**2 + 2*z - 3325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -17285 (base 10) to base 11\nAnswer: -11a94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -485, -905, -1287, -1625, -1913, -2145, -2315, -2417?\n\"Answer: c**3 + 13*c**2 - 466*c - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - m + 12. Let g(r) = r**2 + 2*r - 1. Let s be g(1). Put m, s, -2 in descending order.\nAnswer: m, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1157413 divided by 2?\nAnswer: -1157413\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-8)\/(-6))*(-45214)\/(-141). Let p = -465 + i. Calculate the least common multiple of p and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111101 + -1110100011000?\nAnswer: -1111000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -17837833 to the nearest 1000.\nAnswer: -17838000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(6 - 2) + (-853 - 1). Let i = b - -854. Solve t + w = 4, 14 - 1 = i*t + 4*w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/5*((-110)\/33)\/(-2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*p**2 - 38836*p - 25896.\nAnswer: 4*(p - 3237)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -77*o**2 + 8*o + 8. Let n(j) = 51*j**2 - 5*j - 5. Determine 5*d(g) + 8*n(g).\nAnswer: 23*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*t = -5*l + 345, 0 = -4*l - 5*t + 1392. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 56. Let u be h(-29). Suppose 8 - 12 = -2*z. Solve 0 = -3*q + q + z*v - 18, u = -2*q - 2*v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 198, 202, 206, 210, 214?\n\"Answer: 4*r + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/c)**(-2\/53)*((c\/c**(-3))\/c)\/c**(-2) assuming c is positive.\nAnswer: c**(271\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 r when two letters picked without replacement from rwrddwrdrrwrrbdrwd?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u - 5 = 0. Suppose 10*j + 3*z - 260 = u*j, 0 = 5*j + 5*z - 260. Is j a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 3, 16, 5 in increasing order.\nAnswer: -1, 0, 3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -210 + 177 - 8\/(-112)*516.\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*i*k**2 - 293*d*i + 2*d*k + i*k**2 - 10*i*k wrt k.\nAnswer: -4*d*i*k + 2*d + 2*i*k - 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32648 and 190376.\nAnswer: 14658952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6076 (base 9) to base 11.\nAnswer: -337a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2006)\/408)\/59)\/(3\/(-24)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/615 and 76\/225?\nAnswer: 9225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 i when three letters picked without replacement from {g: 4, i: 14}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21 + (-4 - 1) - (-11 - -11). Solve -5*u + 28 - 4 = 4*a, -o = -5*u + 4*a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -6 + 0 + 4 - 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 10:27 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*l - 24 + 24)*(-3 - 2*l**3 + 3)*(-5*l + 12*l + 3*l).\nAnswer: 620*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c + 27. Let k be o(-9). Suppose 2*v + 2*t - 6*t = 576, k = -t - 2. List the prime factors of v.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - 4) + 1*3. What are the prime factors of (18\/(-27))\/(2\/i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3024) - -5*(sqrt(3024)*4 + sqrt(3024)) - sqrt(3024))\/((3*sqrt(504))\/sqrt(8)).\nAnswer: 100*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 4 - 39 = -4*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6, 0.577, -27?\nAnswer: 0.577","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 59519, 59523, 59527, 59531, 59535?\n\"Answer: 4*v + 59515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -5, 5, 75804\/11 in descending order.\nAnswer: 75804\/11, 14, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.1, -3, 77 in descending order.\nAnswer: 77, -0.1, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d + 44. Let w be q(10). Let v(o) = -o**3 + 13*o**2 - 31*o - 2. Calculate the lowest common multiple of 52 and v(w).\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10073515?\nAnswer: 5, 19, 107, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + 263 - 117 - 127 - 3*i)*(3 - 2 - 2).\nAnswer: -2*i**3 + 3*i - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 11. Let p(f) = -2*f + 35*f**2 + t - 3 - 33*f**2. Let s(z) = -z + 7. Let v be s(5). Let y(i) = i**2 + i. Give v*y(m) + p(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**3\/11 + 97947510*b**2\/11 + 399738162107088*b\/11 + 399738064159584\/11.\nAnswer: 6*(b + 1)*(b + 8162292)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-27 - -20 - -98) - (-13 + 4)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y + 40. What is a(-15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1010.8 - -41.3. Round r to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*r**4 - 3543*r**3 - 24165.\nAnswer: 16*r**3 - 10629*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103 + -230. Let z = 69 + m. Let p = 55 + z. Which is the closest to 0.1? (a) 1 (b) p (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246114096 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000553797 rounded to 7 dps?\nAnswer: -0.0000554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at least -53\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18353907.\nAnswer: 3, 11, 13, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -29977504.5 rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 13. Suppose 4 = q*g - 13*g. Sort 0, -1, 31, g in descending order.\nAnswer: 31, g, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y**3 - 2 - 12063*y - 12061*y + 24124*y + 2.\nAnswer: 23*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12\/49 + -256\/245. Put 6, t, -3 in decreasing order.\nAnswer: 6, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (-20)\/(-6) - (-195)\/9. Let c = m + -24. Is ((-5)\/(-3) + -2)\/(c\/1806) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25296.252 - -0.167?\nAnswer: 25296.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k + 7*k - 36 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4879*o + 100 = -4859*o. Solve -y - 2 = -2*x + 9, 0 = o*y + 4*x + 13 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 6848*v + 358. Let a(c) = -32*c. Give w(a(z)).\nAnswer: 2048*z**2 + 219136*z + 358","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 86994 = -2*r, r - 5*r - 86988 = -z. What is z rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155210 (base 6) to base 15\nAnswer: -4879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 12 = -4*h + 16, z + 5*h = 21 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/7 + 6278\/(-584).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27014443679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 10:33 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4218 divided by 6?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7698 + 7907 + 5*p - 15779)*(2*p + 2 - 2).\nAnswer: 10*p**2 - 348*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/8 and 83\/10622?\nAnswer: 42488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/sqrt(441)*-6.\nAnswer: -6*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3140*s + 3187 with respect to s.\nAnswer: -3140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w = -14*w + 3*u + 10, -3*w - 47 = 10*u. Let a(x) be the first derivative of 3*x**2 - x + 2. Give a(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blyl when four letters picked without replacement from llby?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 40*n = -121710. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467143 to the power of 1\/2, to the nearest integer?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/16 + (-5)\/(-2). Solve 3*q + 25 = -z*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + u = -0*u + 28, -5*u = -4*b + 5. What is the least common multiple of 2\/b + 58\/5 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + -9. Let f = 21 + r. Let o = f + 2. What is the nearest to 3 in 1\/3, 0, o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 6 = -2*r, -1034*w + 1030*w = 8*r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/313331 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + y + 1. Let c(a) = -13*a**2 + 16*a + 6. Let f(s) = -c(s) + 6*w(s). What is the second derivative of f(x) wrt x?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 - 0?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c - 15 + 28 + 24 + 0*c.\nAnswer: -8*c + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -52, 0.041, 0.2.\nAnswer: -52, -0.1, 0.041, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 3*o**2 + 2*o - 4. Let b be n(-2). Let i(c) = -3*c**3. Let m be i(1). What is the second biggest value in b, m, -1\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 7453, 0 in decreasing order.\nAnswer: 7453, 10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32.887 + -0.113. Let v = -32.7 - a. What is the second smallest value in v, -2, -9\/26, 0?\nAnswer: -9\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16308 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1022 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from taaaaaaaataata. What is prob of picking 3 a?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xt when two letters picked without replacement from ttttttfrrxfrtrrt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1791)\/3 + (-8 - -4). Let a = p - -1254. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/136398 and 69\/1778.\nAnswer: 954786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + -551?\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1465*k**3*u**2 - 5*k**2*u**3 - u**3 + 16278*u**2 wrt k.\nAnswer: -4395*k**2*u**2 - 10*k*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63 + -28. Let n(p) = p + 5. Let u be n(11). Let s = u + 2. Calculate the remainder when g is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -4*d - 31 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12614130 (base 7) to base 11.\nAnswer: -7251a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 - -105. Suppose -i*m + 6 = 4*b, -6 = -b - 2*b - m. Solve -b*a = -1 - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 253 - 261. Let h(i) = 3*i**2 - 7*i. Let c(q) = -q**2 + 2*q. Let r(k) = s*c(k) - 3*h(k). Give r(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(0 - 2 + 0)*(-3*h + 19*h - 35*h) to y*h + c and give y.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuiukttkuitut. What is prob of picking 1 i and 1 k?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*s**2 - 122*s**2 - 85*s**2 + 95*s**3.\nAnswer: 95*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 404300014214 - -2?\nAnswer: 404300014221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3195 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - 2*(-6)\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 12. Let q be r(0). Let x = 33 - q. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 12\/5*x**4 + 0*x + 9\/5*x**5 - 3\/5*x**3 + 0 - 6\/5*x**2 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.42 - -11.5. What is j rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-14))\/((-16)\/(-56)). Let s = -29 - -59\/2. What is p in 1 + 1\/2*p - s*p**h = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 0.9781 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 7:27 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2925762 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: In base 15, what is -19 - -1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*t - 1456*t + 11190 = 0 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 4*l = 0. Suppose -p - 3*t = -3*p, -4*p + t = l. Suppose y + y - 5*u = 1516, 5*u - 10 = p. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -236 + 244. Let y(z) = 4 + 36*z + 5 - 4. Is y(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/32*18\/30?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6016738 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17137882, 17137885, 17137888, 17137891, 17137894, 17137897?\nAnswer: 17137900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -4*m - 100. What is the units digit of 15\/m*(-1496)\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86987*u**3 - 87004*u**3 + 174000*u**3.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*q + 3407, 1716 = -4*q + 6*q - 2*k. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k - 2*k**3 + 0*k + (-k - 3*k + 3*k)*(6*k**2 - 2*k**2 - 3*k**2) - k**3 + 2*k - 2*k - 5 + 5 + k**3 + (-12*k + 19*k - 15*k)*(14*k + 5*k**2 - 14*k).\nAnswer: -43*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*p - 34*p - 8235*p**2 - 23*p + 8233*p**2 - 27*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 919 is divided by 132?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 65? (a) 8 (b) -1 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**3 - 6826740*j**2 + 532508535*j - 10384064730 = 0 for j.\nAnswer: -1365426, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2049 + 2059. What is the nearest to -1 in -8, 3, y, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 + 439. Suppose 9*u - t = 2*u. Suppose -u*n + 51*n = 17. What is the greatest common divisor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**4\/4 + 8*m**3\/3 + 3*m**2\/2 - 19*m - 92. What is b(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t - 15. What is the remainder when f(6) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27451 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o - 24. Let v be q(-8). Suppose 14*b - 18*b + v = 0. Let n(a) = -3*a**2 - 8*a - 2 + 2*a + b*a + 0*a. Give n(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(208) - (sqrt(208) + 1) - sqrt(208))**2 + (sqrt(208) + 1)**2 + -5)*4.\nAnswer: 160*sqrt(13) + 4160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008)*-1 - sqrt(1008))\/(sqrt(4) + (-3*sqrt(16) + sqrt(4) - sqrt(4))))**2.\nAnswer: 1008\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (-27 + 18)) + 11\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 5*l. Let m = -3 + 7. Suppose 0 = -m*d + d. Let r(u) = d*u**2 + u**2 - 2*u**2 - 6*u. Calculate 6*f(y) - 5*r(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 8:40 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 229\/4 + -57. What is the closest to t in 2\/3, 0.4, 1\/12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 8:46 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1564488?\nAnswer: 2, 3, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9459 minus 60.9?\nAnswer: 9398.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8094051 by -2698017.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 21.8178738 seconds?\nAnswer: 0.0002525216875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 2. Suppose -5*l = d*t + 110 - 8, 5*t = -5*l - 100. Let a = 9 - l. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*i**3 + 1856*i**2 + 2614*i + 748 = 0. Calculate i.\nAnswer: -1, -2\/5, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1227072.3 rounded to the nearest one thousand?\nAnswer: -1227000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -970\/9 - -108. Let j = 435 + -417. Let z be (-2)\/(((-12)\/18)\/((-4)\/j)). Which is the smallest value? (a) p (b) 0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*k - 0 - 4, 5*c = -5*k - 25. Let o be 5\/(-15) + (-13)\/c. Solve -5*l + 4*s - 6 = 0, o*l + 5 = -3*s + 6*s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 48. Solve -w*g - g = 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -43\/33 (b) -3 (c) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280 = -3*y + 307, 2*q + 26 = 2*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 218 + -214. Calculate the highest common factor of 8 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/45)\/((9\/(-15))\/(-3)). Let i(n) be the third derivative of -1\/14*n**7 + 0 + n**3 - 1\/8*n**4 - 9\/20*n**5 + 0*n + 13\/40*n**6 - 3*n**a. Factor i(z).\nAnswer: -3*(z - 1)**3*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -cac (base 13) in base 2?\nAnswer: -100001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.00756 and 0.\nAnswer: 0.00756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**5\/12 + 5*v**4\/6 + 17*v**3\/6 - 1107*v**2 - 2*v. Calculate l(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(2\/17))*k)\/(k*k**(-10)*k))\/(k\/(k\/(k*k**(3\/8)\/k))*k*k**(1\/11)) assuming k is positive.\nAnswer: k**(11095\/1496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/130344 and -103\/8832.\nAnswer: 47966592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/46)\/((-50)\/3000).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.8813955 nanoseconds to weeks.\nAnswer: 0.00000000000001137796875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26815268 to the nearest integer?\nAnswer: 5178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11620585 a multiple of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**2 + 2*n - 2*n + 4*n**4 - n**2 + 4*n - 4*n**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1840 is divided by 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-80)\/14)\/((-82)\/287). Suppose d*k = 10*k + 800. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 33239.4, 6\/5.\nAnswer: 1\/7, 6\/5, 33239.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -411\/8 + 95\/8. Calculate the common denominator of -11\/159 and k.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122592?\nAnswer: 2, 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*u - 38*u + 67 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27692 and 4508?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -17. Let i = h + -10. Sort -5, i, -1.\nAnswer: -5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -352 (b) 2 (c) -2 (d) -1\/5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*i + 15 = -3*n, 2*n - 4*i + 18 = 0. Let f be 2\/n + (-4 - -8). Is 0.1 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3 - 4 - t - 2 + 8. What is i(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1931169 and 0.06869.\nAnswer: 0.2618069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 5. Let j = -135 - -137. Solve -c*u = -j*u + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369599821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3464 + -10387\/3. Let o(y) be the first derivative of -l*y**6 + 4*y**3 + 0*y**5 + 13 + 0*y**2 + 0*y + 0*y**4. Find the third derivative of o(v) wrt v.\nAnswer: -600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 4*j. Let w be h(4). Let i = -6 - -11. Solve -m + i*g + 21 = w, -m = g + 2*g + 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 5, l: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -6804200 to the nearest 100000.\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + g + 0 - 6 = 2*c - 3*c + 5, 5*c - 8733 = -671*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17212 is divided by 50.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 56.53009ml?\nAnswer: 0.05653009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 165854783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3038\/11 or -260?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -8.093787, 3\/5, 0.5, 1 in ascending order.\nAnswer: -8.093787, 0.5, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + (73\/(-36))\/(-1) and (-9204)\/416*4\/15?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6208776, -12417398, -18626020?\n\"Answer: -6208622*s - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 5\/1209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1008? (a) -3\/4 (b) -0.2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.14 + 0.26. Which is the second smallest value? (a) -3\/7 (b) q (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5 = -3*c, 5*z + c = 20. Suppose 0*d + d = -z*m + 9, d = m + 9. Suppose -5*t + d = -71. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 (base 10) in base 11?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 35 = -0. Which is smaller: x or -14\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -23*g + 4. Let u(v) = -11*v + 2. Let l(r) = -13*u(r) + 6*x(r). Suppose 190 = -2*i - 60. Let b = -122 - i. What is l(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -18014?\nAnswer: 18011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-q**3 - 2 + 2) - 5*q**3 + 2*q**3 + q**3 - 2*q**3 - 2*q**3 + 5*q**3 + (2*q**2 - 3*q**2 + 7*q**2)*(0*q + 2*q - q) + 3*q**3 - q**3 - q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24960 is divided by 131?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.04 + 0.04. Suppose -5*r - 2*l + 5*l = 0, 0 = 4*l. What is the nearest to 0 in 1\/3, r, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -24366522?\nAnswer: -24366526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7 - 17*j - 18*j + 36*j. Let g be o(4). Which is smaller: g or 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-8) - 195\/120\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 6922.1615 to the nearest integer.\nAnswer: 6922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/2*6\/(-36))\/((-1)\/24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -234*h**3 + 3*h**2 + 121 wrt h?\nAnswer: -702*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 110819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 92\/1233 = 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 10\/11, -4, 3\/2, -2\/5, -3.2, 1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232397 is divided by 49.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d + 26. Let n(x) = x. Determine n(y(i)).\nAnswer: 5*i + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2015872 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9549*g**3 + 2266*g**3 + 1287*g**3 + 1948*g**3.\nAnswer: 15050*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33664, 33621, 33578, 33535, 33492?\n\"Answer: -43*g + 33707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 10:59 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:18 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 - 40 - (2 - -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 15*u = -27 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/22 and -107\/1930?\nAnswer: 21230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5*20\/(-124)*(-9)\/(39\/13).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 11:11 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -134a - -1481?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 610629 from 303.\nAnswer: -610326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114)\/(-6156) - (-71591)\/2808*4?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 n when three letters picked without replacement from {l: 2, m: 7, w: 4, n: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 2*p - 90 = 0. Suppose 5 - 20 = -3*b. Suppose 4*m - 4 = 0, -z - b = 3*m - p. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*-20*7\/(-56)*(-33)\/220\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/660 and -19\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 - 6.2. Which is the closest to 0? (a) p (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 635 - -7173711\nAnswer: 7174346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*t - 341 = 106*t + 1780 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 355155.2t?\nAnswer: 355155200000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**(2\/23)\/(d**2)**(-41) assuming d is positive.\nAnswer: d**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7222, 14443, 21664, 28885?\n\"Answer: 7221*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 13\/7844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a tonne in kilograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 (base 6) in base 15?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3832791664 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -307, -1021, -2937, -6649, -12751?\nAnswer: -21837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -195508237509835 and 0.\nAnswer: -195508237509835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2406*v**4 + 4*v - 5 + 1 + 0 - 10*v + v**3 + 2407*v**4 - 2*v**2 as a*v**3 + q*v**4 + n + y*v + i*v**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/67 - -9307\/402. Let o = 33\/119 + 2143\/2142. What is the common denominator of o and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19\/6 - (-3)\/(-18). Suppose n*u - 47 = -2. Solve -3*f - u = 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/9 + 4*b**3\/3 - 17*b**2\/3 + 88*b\/9 - 16\/3.\nAnswer: -(b - 4)**2*(b - 3)*(b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -75, -158, -243, -330?\n\"Answer: -s**2 - 80*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f + 39 = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**8\/(p\/(p**10\/p*p)))\/(p**(-1\/2)\/p*p**(1\/9)))**5 assuming p is positive.\nAnswer: p**(1655\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 3*p - 7*p)*(-242 + 9*p**2 + 242) + p**3 - 4 + 4.\nAnswer: -53*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - x = -13, 52 = 5*t - 55*x + 59*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 16620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 4:46 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**2 + 258*c**3 + 239*c**3 + 3 - 553*c**3)*(113*c + 45*c - 97*c) to q + n*c**3 + u*c**4 + t*c**2 + h*c and give h.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7914 (b) 6\/11 (c) 6 (d) 0.5 (e) 2 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2205 divided by -49?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*x**2 + 33*x**2 + x + 35*x**2.\nAnswer: 5*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 3*b + 10. Calculate x(-8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -602*g - 3387 = 1108 - 883 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = -2008 + 992. Put -0.4, -4, r, 2 in decreasing order.\nAnswer: 2, -0.4, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 46, 164, 332, 532, 746, 956, 1144?\n\"Answer: -3*p**3 + 43*p**2 + 10*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 53800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**2 + 12 - 12)*(2*z**3 + 2 - 5*z**3 - 1) + (-z - 2*z + 4*z)*(0*z**4 - 2*z**4 + 0*z**4).\nAnswer: 16*z**5 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**5\/5 - 48*z**4\/5 - 216*z**3\/5 - 78*z**2 - 309*z\/5 - 18 = 0. Calculate z.\nAnswer: -10, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 119, 162, 221, 302, 411, 554?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 516489*p**2 - 1249081 wrt p?\nAnswer: 1032978*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(320) + 1)*3 - (5 + sqrt(80) + -1 + -5))**2.\nAnswer: 3472*sqrt(5) + 77076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6 + 6 - d**3 - 2 + 13*d**2 - 9*d + 5. Let f be -3 + (-20)\/(-4) + 10. Is z(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*p - 217. Suppose 3*s - p = s. Suppose 3*f = k - s, -2*k - 3*f + 20 = f. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 279 and 110232?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11508*b**2*c**2 - 294*b**2 + 4*b*c + 2*c**2 + 4*c - 1769 with respect to c.\nAnswer: 23016*b**2*c + 4*b + 4*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -13. Let o = x + 14. What is the smallest common multiple of (-10)\/5 + (2 - -1) and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**2 - 694*b - 750. What is c(140)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21107 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 574714, 574707, 574698, 574687, 574674, 574659?\nAnswer: 574642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -297? (a) 4 (b) -1 (c) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3659380 + 5604380. What is o rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 41, 51, 63, 77, 93?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from luylffrflfflfuury. Give prob of picking 1 y and 3 l.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x**3 + 12*x**2 - 12100*x + 3024 = 0. Calculate x.\nAnswer: -28, 1\/4, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 3*t**2 + 5*t)*((-3*t - 2*t + 7*t)*(2*t + t - t) - 2*t**2 + 2*t - 2*t)*(-3*t - t + t).\nAnswer: -18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3 + 35. Let l = 232 - m. Suppose 5*t = l + 312. Is 24 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a hour?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3910 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 23*g - 8. List the prime factors of b(17).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 17 - (-8)\/(-2). Let a = h + -9. Let g(k) = k**3 + 4*k**2 - k - 2. Let t be g(-4). Which is smaller: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-16)\/356846) - (-122)\/976 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16855, 60203, 132451, 233599, 363647?\nAnswer: 522595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 249367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-2)*3\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16\/3? (a) -3\/7 (b) -4 (c) -3 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1264 is divided by 124?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*y - 5, 5*s - 27 = -3*y. Let g(c) = c**2 + c + 8. Let r be g(s). Suppose -r = 3*t - 224. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 378409 - -a6?\nAnswer: 378504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*p + 949 = 8*d, -4*d + 774 = -5*p. Let o = d - 86. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 2*n - n)*(3 + 3 - 2)*(2*n - 1 + 1).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)*t)\/t)**(14\/9)\/(t*t\/(t*t*t**2))**(-33) assuming t is positive.\nAnswer: t**(-622\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -171*d**2 + 2*d**2 + 52*d + 18 + 15 - 37.\nAnswer: -(13*d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + p**2 - 10*p - 14. Calculate r(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (98*g - 55*g + 59*g)*(g**2 - 4*g**2 + g**2) to the form x*g + l*g**2 + u + m*g**3 and give m.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, q: 4, k: 4, n: 1, c: 1, x: 3}. What is prob of sequence kqc?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000023313 rounded to seven decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -55, -262, -623, -1150, -1855, -2750?\n\"Answer: -2*v**3 - 65*v**2 + 2*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 175856672?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2. Let w = -5.48 + 0.18. Let t = w - -1.3. What is the nearest to 2\/7 in q, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9754 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - b = -15, -p = b - 1 - 5. Solve 2*l - 25 = -p*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62109057 equal to 124218115\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(170)*-1 - (sqrt(170) + (sqrt(170) - (sqrt(170) + -3*sqrt(170)*-4))))\/(5*(sqrt(810) - ((sqrt(810)*-1 - sqrt(810))*3 - sqrt(810)))).\nAnswer: sqrt(17)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 5:51 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3642*x**4 + 3 - 2*x - 3653*x**4 + x**2 - x**2 to b*x + g*x**3 + a*x**4 + l*x**2 + d and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 385 = 2*d - 5*l, d + l = 127. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 16 = 0, 4*d = i - 19 - 4. Suppose z + 14 = 2*f - i, -f = -5*z - 15. Solve -4*o + 0*o - 2*t = f, 15 = o - 3*t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 13*c - 26. Calculate y(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**4\/14 - 26*u**3\/21 + 23*u**2\/7 - 22*u\/7 - 60. Factor t(y).\nAnswer: 2*(y - 11)*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p - 3*p + 54. Solve -2*v + 0 = -p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w + 5*w**4 + 2*w**4 - 4*w**4 + 2*w**3 - w**3 as d*w**2 + c*w**3 + o + l*w + p*w**4 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -618720132 + 1235715298. Let n = d + -616995162.26999673. Let w = n + -3.73. What is w rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31085 != -31094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -295972, -296002, -296032?\n\"Answer: -30*o - 295942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381431 is divided by 138?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.336 - 0.249. What is o rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 9:03 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-2 - 1) + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 1120*h + 3356. Let g be r(3). Suppose 0 + 2 = m. Solve 5*j - 2*x - 10 = 0, 0*j = -j + g*x + m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 7*a**2 + 15*a - 3. Let s be m(-7). Are s and -107 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 228 - 229. Let x(u) = 1 + 5 - 7 + 25*u. What is x(y)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -202?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzii when four letters picked without replacement from ggzoitoiuuiigiuioti.\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3000633, -3000631, -3000629, -3000627?\n\"Answer: 2*r - 3000635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2838 = 46*r - 2985 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 times -0.1?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 + 188b7?\nAnswer: 188a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 0*r**2 + 105*r + 0 - 1\/2*r**3 - 5\/6*r**4. Let d(l) = 2*l**2. Calculate p(d(c)).\nAnswer: -40*c**4 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*l + 20628271 - 20628271.\nAnswer: 235*l","meta":{"dup_signals":{},"source":"polynomials__collect_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: Is 891653412 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*j*u**2 - 1094769*j + 3*u**4 + 37*u**3 wrt u?\nAnswer: 12*j*u + 12*u**3 + 111*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*sqrt(209) - (sqrt(209) - -1*sqrt(209)*-3))\/(-5*(sqrt(11) + 1*sqrt(11)) + sqrt(33)\/sqrt(3)*-2).\nAnswer: 13*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -299 (base 10) in base 7?\nAnswer: -605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 119*t + 23*t.\nAnswer: -97*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -181*g**2 + 3*g + 185*g**2 + 2 + 6*g.\nAnswer: (g + 2)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 291579.\nAnswer: -10\/291579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, d: 4, r: 2}. Give prob of picking 2 d.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 61915.329us in hours?\nAnswer: 0.0000171987025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 171158 and 513474.\nAnswer: 513474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 3, 0.05, -544\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (15\/(-10))\/(0 - (-9)\/(-636)) is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 286\/2431725 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59 and 1475.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -63*b**3 + 256 + 11*b**2 + 270 - 7*b**2 + 7*b**2 + 11*b - 515. Let p(g) = -21*g**3 + 4*g**2 + 4*g + 4. Calculate -11*p(c) + 4*q(c).\nAnswer: -21*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4887.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*v = -45*v - 15563. Calculate the remainder when 225 is divided by v.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1558 - -2253. Let t = -56 + a. List the prime factors of (-15)\/(-40) - t\/(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*3 + (-4)\/2. Let z = u - -4. Calculate the common denominator of (z - (-174)\/(-15))\/4 and -101\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 3*v**2 + 4. Let y be a(3). Let f be 15\/y + (-1)\/(-4). What is the units digit of 1*((-12)\/4 + f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12 - -3)*(-2)\/6. Suppose -36 = -s*r - r. What is the remainder when 2 + r*2*2 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, m: 6, s: 1, u: 2, o: 1}. What is prob of sequence mu?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 654*o + o**2 + 654*o in the form v*o + z + u*o**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((126\/(-36))\/(-7))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) 0 (b) -0.3 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(-162 + 144 + 123)*(12*u**2 - 20*u**2 + 6*u**2).\nAnswer: -420*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w + 23. Calculate u(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10898?\nAnswer: 2, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 2864147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1, 0.329, 559?\nAnswer: 559","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**5\/20 + 7*k**4\/12 + k**3 + 4*k. Let f be d(-4). Suppose 3*w - 39 - f = 0. Calculate the remainder when w is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2866000\/3)\/((-62)\/(-5580)). What is l rounded to the nearest 1000000?\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 33*c**3 + 2*c**2 - 44*c - 3. Let b(o) = 44*o**3 + 2*o**2 - 58*o - 4. Give -7*b(i) + 9*t(i).\nAnswer: -11*i**3 + 4*i**2 + 10*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 21*q + 130 = 0. Suppose q*u - 35 = 43. Factor -37\/6*d + 34\/3*d**2 - 1\/3*d**4 - 7*d**u + 1 + 7\/6*d**5.\nAnswer: (d - 1)**3*(d + 3)*(7*d - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47149 is divided by 34.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-360)\/(-135) - 65\/3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/10)\/((-3)\/(-2)*(-60)\/(-45)). Let l(i) be the third derivative of j*i**3 - 2*i**2 + 0*i - 5\/12*i**4 + 0. Calculate l(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 7*u + 12. Let s be p(7). Solve -s = -2*m - 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 1)\/(2\/(-4)). Let y be (c\/6)\/(13\/(-78)). Is 0\/(-3) - (-1*276)\/y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13654162, 13654170, 13654178?\n\"Answer: 8*u + 13654154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*(-140)\/105?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 574651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2948 and 7\/29480.\nAnswer: 29480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 2*v - 2*v + (-v + 4*v - v)*(-2 - 2 + 5) - v - 3*v + 0*v)*(-5*v**2 - 2*v**3 + 5*v**2).\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 519247688 * 0.5.\nAnswer: 259623844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 7*s + 20. Let l be (-5)\/(-20)*16\/(-14). What is the nearest to 2\/5 in l, -5, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 17 (c) 1 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4120452 and 12516.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*n + 648 = 0, -5*n + 1 = -9. Suppose 0 = o - 5*o + x. Solve 4*v - s + o = -6*s, -7 = 5*v - 2*s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397701935.\nAnswer: 5, 139, 572233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/4*(-48)\/(-3). Is -49*(1\/(-4))\/((-3)\/o) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000071358921 rounded to 7 decimal places?\nAnswer: -0.0000714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3868 + -3867.94. Which is the third biggest value? (a) m (b) 2\/19 (c) 1\/3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-85 - (-87 - 99)) + -2 + (-2 - -3)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -10) + (2 - -1) - (150 - 93).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 610794329 and 1223?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 17*z**2 - 31*z - 23. Let k be d(14). Suppose k*w - 129*w - 6 = 0. Sort -3\/8, w, -3.\nAnswer: -3, -3\/8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t - 5. Let p(w) = -4*w - 5. Let s(z) = 3*a(z) - 4*p(z). Let r be s(-3). Let h(q) = -q - 3. Let i be h(r). Solve 1 - i = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/104, -23.8, 8, -2, -0.4 in decreasing order.\nAnswer: 8, 7\/104, -0.4, -2, -23.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - ((127 - 3) + (17 + 22 - 58))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -19*j + 46. Suppose 15*a + 19 = 17*a + d, -j*d = 9. Solve 0 = 5*p + a - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 70\/93, 2\/9, 6\/5, -4, -6, -19, 2?\nAnswer: 70\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y + 5*y = 44. Let j(r) = 193*r**2 - 8*r - 1. Is j(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 17*m**2 - 9*m**2 - 7*m**2 + 12*m**2 + 4*m**2. Let i(s) = 6*s + 1. Give f(i(r)).\nAnswer: 612*r**2 + 204*r + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 (base 5) in base 13?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((1 - 2)*1). Suppose 81 = 4*y - 5*u, x*y + 34 = y - 4*u. Calculate the highest common divisor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4\/3 - 626*j**3\/3 + 8236*j**2 + 78536*j\/3 + 53200\/3 = 0.\nAnswer: -2, -1, 50, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-1))\/3)\/(36\/(-18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 421, 30.077, -22?\nAnswer: 30.077","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/30)\/(p*(p\/(p*p\/p**(-25)))\/p) assuming p is positive.\nAnswer: p**(779\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-5)*(640\/(-12))\/(-10)*-3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -646*c - 163. Is y(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*sqrt(180)*-4 - (-1*sqrt(180)*1 + sqrt(180)))**2 - (4*(sqrt(180) - (sqrt(180) + (sqrt(180) - (3*sqrt(180) - sqrt(180))))) + -1)**2)*-4.\nAnswer: 1152*sqrt(5) + 207336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4568 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-62)\/15 - (-63)\/54.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79866 + -79864. Factor -2\/9*w**3 - 10\/9*w**s - 2\/3 - 14\/9*w.\nAnswer: -2*(w + 1)**2*(w + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-4))\/((-6)\/(-32)). Suppose 0*q + v = 2*q. Suppose 2*u + 81 = 5*r, q = -0*u + 4*u. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -163, -157, -153, -157, -175, -213, -277, -373?\n\"Answer: -p**3 + 5*p**2 - 2*p - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12851, 25693, 38535, 51377, 64219?\n\"Answer: 12842*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 3:53 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -42.07. Let y = -2.07 + d. Let g = -0.01 + 0.21. Which is the closest to g? (a) 2 (b) y (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*l**5\/2 - 807681*l**4 - 3923293*l**3\/2 - 296743*l**2 + 725322*l - 131876 = 0. What is l?\nAnswer: -2, -1, 2\/7, 32969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 k when three letters picked without replacement from wgrggwggrkkrgrkgkgg.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 5*i**4\/12 - 8*i. Let j(d) = 3*d**2. Determine r(j(l)).\nAnswer: 45*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 10. Give b(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/40 and 53\/9650.\nAnswer: 38600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17547 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -667\/4251 + 1\/327. Let d = -14.9 - -16.9. Sort 0.4, d, m in descending order.\nAnswer: d, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 8*o**2 - 12*o - 54. What is t(-9)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 0*g + g + 2 + 2. Let t be w(-2). Let f(r) = -3*r**t + 4*r**2 - 3*r**2. Let l(a) = 7*a**2. Determine l(f(b)).\nAnswer: 28*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5496*g - 5471*g - 289 = 211 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 267, 2357, -0.3 in descending order.\nAnswer: 2357, 267, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(-1 - 3*o**4 + 1) + (-16*o**3 - 2*o + 2*o)*(2*o - 5 + 5) + 5*o**4 - 3*o**4 - 3*o**4 as b*o**4 + y*o**3 + a*o**2 + w + n*o and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/13, -15, 3\/2, 0 in ascending order.\nAnswer: -15, -5, 0, 2\/13, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54*(-73)\/1971*-2*19?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/(sqrt(36)\/sqrt(24))*5)\/(4*sqrt(441) + sqrt(18)\/sqrt(2)*2).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2309780.466 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -48*w + 73. Let t(c) = 327*c**2 - 847*c**2 + 521*c**2. What is t(x(y))?\nAnswer: 2304*y**2 - 7008*y + 5329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -25*a**5 - 16365*a**4 - 123335*a**3 - 262215*a**2 - 116460*a = 0.\nAnswer: -647, -4, -3, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70705\/36669 + 281179797\/42927176. Let p = c + 4\/1317. Find the common denominator of p and -76\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*r + 531 = 114*r. Solve -5*w + 12*m - 15 = 9*m, 0 = 3*w + 3*m + r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 15.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1902 - 1901.98. Let c = 4 + -1. What is the nearest to 0 in q, 0.4, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 - 7*d**3 + 4*d**3 - 52*d**3 + 9*d**3 - 28*d**3.\nAnswer: -77*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**3 - 3211113*y**2 - 147715959*y - 1698751779 = 0?\nAnswer: -23, 1070417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z*z**(2\/5)*z)\/z)**(-18)*z**(-2\/5)*z*z**(2\/13))**(-2) assuming z is positive.\nAnswer: z**(7858\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 not equal to 352\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0173 times -0.2146?\nAnswer: -0.00371258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63.5536 + 66.8. Let r = -0.0464 + l. Which is the nearest to -0.04? (a) 0.4 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -9*o - 196. Let v be m(-23). What is the third derivative of -123*i - i**5 - 10*i**2 - v*i**4 + 59*i + 66*i wrt i?\nAnswer: -60*i**2 - 264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*n + 3169 - 3193 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -87? (a) -0.3 (b) 4 (c) 4\/17 (d) 104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -33*w - 109 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1165 - 295 = 58*n for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 345307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, 20, 34, 46?\n\"Answer: -u**2 + 19*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 13758\/30 + 8\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(216)\/sqrt(8) - (0 + sqrt(432))) + 1 + sqrt(27)*-5 + sqrt(960)\/sqrt(5))**2.\nAnswer: 96*sqrt(3) + 777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 49\/343 + (-34)\/(-7). Suppose -4*i - 4*r + 4360 = 0, -v*i = 2*r - 5*r - 5434. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 + 179. Let v be (612\/(-30))\/(-3 + (-27)\/(-10)). Suppose v = 5*d - 247. What is the highest common divisor of b and d?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j\/(j\/(j*j\/(((j\/(j**(-2\/9)*j))\/j)\/j)*j))*j)\/j)*j*j*j**10*(j*j\/j**(2\/25))\/((j*j\/j**(3\/2))\/j) assuming j is positive.\nAnswer: j**(4789\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 19*z - 13*z - 11*z + 9. Let v be f(1). Solve 6 = -v*o + 6*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25208 and 4048?\nAnswer: 554576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3868420?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 33\/5 of a minute?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbg when three letters picked without replacement from gggbgbb.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 131*y - 40. Let i(k) = 56*k - 20. Let x(h) = 7*i(h) - 3*q(h). Let g(r) = -2*r**2. Calculate x(g(j)).\nAnswer: 2*j**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1\/3 (b) 2\/5 (c) 0 (d) -3511\/6 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -805\/2 in -1\/3, 0, 2\/3, -7.8, -2\/7, 2?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*g**2*j**3 - 18967*g**2 + 306*j**4 wrt j?\nAnswer: 66*g**2*j**2 + 1224*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - f**2 + 0 - 2)*(-214 + 2819*f - 1410*f - 1405*f) + f**3 - 2*f**3 + 3*f**3 in the form p*f + h*f**3 + x*f**2 + z and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**6*t**(-11))\/(t**(-1\/18)*t*(t*(t\/t**(1\/16))\/t)\/t))**(2\/101) assuming t is positive.\nAnswer: t**(-847\/7272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6*73\/((-15841)\/(-62))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - t - t + (2 - 3 - 1)*(3*t - 4*t + 3*t) + (11*t + 8*t - 7*t)*(-4 + 1 + 2) - 4*t - t + 4*t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241797*s**2 - 2 + 2*s**3 + 2 - 1115366*s**2.\nAnswer: 2*s**3 - 1357163*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 - 4) + 0 + -1. Let d(j) = j**2 - 5*j + 5. Let t be d(s). Let x = -0.14 - 0.06. Put 4, t, x in increasing order.\nAnswer: t, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -204265 - -3?\nAnswer: -204262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + 6 + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5 = -2*x + 1, 0 = 2*n + 3*x + 8. Let u(z) = -z - 3. Let m be u(n). Let v(q) = -q - 7. Let c be v(-9). Which is smaller: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i = 37 + 53 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 4. Let w be k(5). Suppose -12 = w*q - 57. Let u = q + 103. Calculate the highest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5*z. Suppose z = -2*h + i - 5, -2*h + 13*i - 14 = 15*i. Let p(s) be the third derivative of -s**4\/6 - 2*s**3\/3 + s**2. Determine p(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -92 + 160 + -22 + -54.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + -1)*1*2\/(-4). Is (-238 + d)*2\/(-4) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 3 = 7*i. What is the tens digit of -6*(i + (-5)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**4\/7 + 62*v**3\/7 - 542*v**2\/7 + 1122*v\/7 = 0.\nAnswer: 0, 3, 11, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/707 - 1997\/43834. Are 0 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m - 479. Let k(a) = -a**2 + 2*a. Give -2*k(i) - y(i).\nAnswer: 2*i**2 + 479","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(1007\/(-144) + 7). Let y = -718\/5 + j. Which is the nearest to y? (a) -1\/4 (b) -0.025 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2) - 5\/(-2). Suppose a = n - 0. Suppose 2*b - 6*b - 2*q = -38, -a*b - 4*q = -26. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12, -16, -30, -60, -112?\n\"Answer: -z**3 + z**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -0*n - 5*n. Suppose -96 = -n*h + 7*h. Suppose -2*u = -4*u + h. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + h**2 + 1. Let i(n) = -3*n + 3. Let y be i(7). Let w(j) = 8*j**3 + 9*j**2 + 9. Let q = 1 - 3. Let a = 0 - q. What is a*w(x) + y*s(x)?\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 0*a + 1\/12*a**4 + 27*a**2 + 1\/60*a**5 + 0*a**3 + 0. Let s be u(0). Sort 17, -2, s, 3 in ascending order.\nAnswer: -2, s, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 + 92. Let g(y) = -3*y**3 - y**2. Let k(o) = -8*o**3 - 10*o**2 + 10*o. Let w(x) = q*k(x) + 2*g(x). Factor w(c).\nAnswer: 2*c*(c - 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -25*l - 7. Let n(o) = 12*o + 3. Give -4*a(z) - 9*n(z).\nAnswer: -8*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2201, 4402, 6603, 8804, 11005?\nAnswer: 13206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 344.7 - 343.7. Which is the fifth biggest value? (a) 3\/4 (b) -4 (c) 119 (d) t (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, w: 3, g: 1, k: 1, q: 1}. Give prob of picking 1 k and 2 w.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -80\/291 at least -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12376*j*z - j + z**2 - 93 with respect to z.\nAnswer: 12376*j + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.7 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 31*l - 124. What is the smallest common multiple of 8 and n(6)?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75585883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -11*y**2 + 13*y - 27. Let w(g) = -14*g**2 + 14*g - 27. Let v(t) = 5*n(t) - 4*w(t). Determine v(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 646 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 24\/60*5\/(-2)*2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3210, 3090, 2794, 2322, 1674, 850, -150?\nAnswer: -1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grgrzggrrrgrggzggzr. Give prob of picking 1 g and 1 z.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1487194 is divided by 169?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4303575 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 13*f. Let y(z) = -4*z**2 + z + z + 6*z**2 + 5*z + 1 + f*z**2. Give y(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -294, 4.7, -2\/27, -3\/7, 1, 0.1.\nAnswer: -294, -3\/7, -2\/27, 0.1, 1, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/275893 and -25\/153?\nAnswer: 2483037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.96 + -0.04. Let v = z - 5. Let k = v + 10.077. Round k to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 58 - 25\/2*d**2 - 70*d. What is the first derivative of x(b) wrt b?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btbbtbbbbb. What is prob of sequence btt?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 n when three letters picked without replacement from {o: 2, v: 2, n: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 7 = u - 5*f, -18 = -4*u + 3*f. What is the nearest to -1\/3 in 0.4, -1\/9, u?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1, -92, 117, 920, 2611, 5484, 9833, 15952?\n\"Answer: 49*g**3 - 144*g**2 - 2*g + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*o + 177*o + 2*s = -2, -s = -5*o + 15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -852*c**3 + c**2 - 228 + 844*c**3 + 2*c + 226 to q*c**3 + s*c**2 + g*c + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/15*(-400)\/(-120). Solve 3*i - g = 13, i - 11 = 3*g - f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 5:12 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 133*k + 19943. Calculate l(-150).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 9:14 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/2 or -68\/29?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3 - 8 - 17*w**2 - 8. Suppose j = 5*i - 111, 2*i - 6*i = 3*j - 104. Let t be i\/3 - (11\/3 - 2). Let k(b) = 8*b**2 + 6. Calculate t*a(l) + 13*k(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4821 = v, v = -2*p + 10601 - 962. Let u = -14602\/3 + p. Let s = -47 - u. Is s equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -1. What is the units digit of 12\/q - (-431)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11, 1\/13, 2\/41, -6.432?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, v: 2, n: 4, b: 2, a: 1}. What is prob of sequence bn?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -2*f - 437, 2*x + f - 25 = 103. Solve -50 = 113*k + x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h**2 + h - 2. Let r be v(1). Suppose -t + r = 4. Put t, 5, 2 in descending order.\nAnswer: 5, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128.8 + -129. Suppose -2*f + 2*y = 0, f = 2*f + 2*y + 12. Which is the nearest to 0.1? (a) f (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - 550672531?\nAnswer: -550672523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.07, -3, -1\/30, -0.05, 28?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2105*d. Let r(a) = -5373*a**2. Give b(r(u)).\nAnswer: 11310165*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24637, -24621, -24593, -24553, -24501, -24437?\n\"Answer: 6*q**2 - 2*q - 24641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -139*x + 136*x. What are the prime factors of x?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 9*d**2 - 15*d - 15. Let v be c(-10). Let k = 347 - v. 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: Find the second derivative of 6446 + 1190*r**5 + 6448 - 12894 - 1260*r wrt r.\nAnswer: 23800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 18616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 182 - 3*k**3 - 3*k - 118 + k**2 - 65 + 2*k**4 to a + t*k**3 + u*k + r*k**4 + i*k**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -2 + (-28)\/4. Let p(i) = 2*i**3 - 7*i**2 + 7*i - 3. Let d(v) = v**3. Let r(s) = -3*d(s) + p(s). Let w be r(n). Solve b - 6*b = w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 342 and 60021950.\nAnswer: 540197550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -9*y + 4. Let q(s) be the first derivative of -4*s**2 + 3*s - 82. What is 6*q(o) - 5*w(o)?\nAnswer: -3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2 - s + 1. Let z(v) = -v**2. Let w(m) = -4*f(m) - 10*z(m). Calculate w(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-280)\/385 + 2160\/66. Solve 4*k - 5*r = c, 0 = 2*k + 22*r - 20*r + 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 144393.6 + 0.0097.\nAnswer: 144393.6097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -918, -1010, -1230, -1632, -2270, -3198, -4470?\n\"Answer: -9*r**3 - 10*r**2 + r - 900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698874717.\nAnswer: 3, 2351, 99089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3235 (base 8) to base 15.\nAnswer: 77d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2323916543 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -78*r + 77*r + 4*v, 2*r = 5*v + 172. What is the smallest value in -3\/4, r, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 9, 4*q - 2*a + 5*a = 331. Let g = q - -5. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 36\/47, 1\/2, -1, 4, -2.\nAnswer: -2, -1, 1\/2, 36\/47, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1275) - (sqrt(1275) - (-1*sqrt(1275) + sqrt(1275) + sqrt(1275))))\/(sqrt(3) + (sqrt(3) - sqrt(3)*3*-6) + sqrt(3)).\nAnswer: 5*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4926917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 120*x - 430. Let v be t(4). Let o(y) = y. Let c(p) = 25*p**2 - 50*p. What is v*o(h) + c(h)?\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 70*u + 65*u - 200*u + 68*u. Let y(j) = -4*j**2 + 3*j - 3. Let x(g) = -7*g**2 + 7*g - 7. Let z(o) = 3*x(o) - 7*y(o). What is z(t(p))?\nAnswer: 63*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*(-4 - -4)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -10*w + 9. Let r(h) = -h + 1. Let m(l) = 2*d(l) - 18*r(l). Let k(t) = 3*t + 4 - 4. Calculate k(m(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34122114 (base 5) to base 14.\nAnswer: -7bc62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + 3*w**4 - 4*w**4 + (-3*w**2 + 2*w**3 + 3*w**2)*(-w + 1 - 1) + 1 + 118*w**4 - 103*w**4 - 3.\nAnswer: 11*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*h = 0. Suppose 4*a - 4 = h, -b = -5*a - 0*a + 8. Let l = 278447 + -278445.3. Sort l, b, -5.\nAnswer: -5, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8*(12\/(-16))\/(9\/6). Suppose -18*r + 20*r = -v. Let d be 0 + 4\/14*1. What is the second smallest value in d, 0.3, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 10 = h, -5*t = h - 6*t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 288\/(-84)*(-4 - (-30)\/8). Let n(j) be the first derivative of -5 + 2\/21*j**3 - r*j**2 + 18\/7*j. What is y in n(y) = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 21786428?\nAnswer: 65359284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**2 - 4*w + 1606. What is y(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -31\/11 - -3. Find w such that -10\/11*w - 4\/11 - 8\/11*w**2 - g*w**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 7. Let t be u(9). Suppose 0 = -2*s + s + t. Let k be (-13)\/(-3) + (4\/3)\/((-48)\/12). What is the highest common divisor of s and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2\/3 - 214*z + 10336\/3 = 0.\nAnswer: 17, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 48*c - 7380. Calculate the greatest common divisor of c and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1450954050.\nAnswer: 2, 3, 5, 7, 13, 106297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193 + 92 + 101 - 18*o**3.\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 10) in base 12?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e5650 - -5?\nAnswer: 1e5655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -8*j**3 - 3*j**2 + j + 2. Let g be z(-2). Suppose 2*r + 0*r = g. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - s. Let f be (-2)\/3*(-12)\/(-8). Let n(p) = -14000*p**2 + 6998*p**2 - 5*p + 7012*p**2 + 0*p. Calculate f*n(z) + 5*k(z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1307, -2070, -2843, -3632, -4443, -5282, -6155, -7068?\n\"Answer: -w**3 + w**2 - 759*w - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4782.176381881 + -5263.17638142. Let g = t + 481. Round g to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**5\/4 - r**4\/12 - r**3\/2 + r**2 - r. Let g be f(2). Suppose -4*s + 2*j = -2*j - 96, s - 3*j = g. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/9, 3, -16, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**2 - 273997*k - 109598 = 0. What is k?\nAnswer: -54799, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2\/6 + 205*k - 126075\/2 = 0. What is k?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -314 or 120?\nAnswer: -314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.022\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.4 take away 0.224?\nAnswer: -16.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2509, 5000, 7489, 9976, 12461, 14944?\nAnswer: 17425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/48)\/((24\/64)\/1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0493621 to three decimal places.\nAnswer: 1.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.38 and 34?\nAnswer: 12.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/11 - (-465)\/(-165). Let t be (-2 + b)\/((-20)\/24). Sort -1, 2, t.\nAnswer: -1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.27 - 0.49. Let x = u + 1.12. Let r = -0.9 + x. What is the closest to r in 0.4, 4\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 0)*(-4)\/6. Let d(k) = a + 3*k + 0 - k + 3. Let w = 2 - 6. Determine d(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 5:32 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 421296319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 27*m**5\/2 - 129627*m**4 + 68250537*m**3 - 68164124*m**2 + 45423547*m\/2 - 2522997 = 0.\nAnswer: 1\/3, 558, 9043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c**2. Let h(o) = 2*o. Calculate y(h(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 1:42 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77759 is divided by 320?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27890)\/15 - 10\/15. Suppose 0 = -2*u - u - 1890. Let m = k - u. Round m to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2388, 2427, 2524, 2703, 2988, 3403?\nAnswer: 3972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -aaea (base 15) in base 4?\nAnswer: -20311330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.5 + 2.5. What is the second biggest value in w, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.416 + -63555635.\nAnswer: -63555631.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**4 + 4956*v**3 + 4952*v**2 = 0. Calculate v.\nAnswer: -1238, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14447, -57787, -130021, -231149, -361171?\nAnswer: -520087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 22279026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/22 and -45\/2026.\nAnswer: 22286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 1*((sqrt(252) + sqrt(252)*1 - sqrt(252)) + sqrt(252)))**2 - sqrt(252)) + -2*(sqrt(252) + 2 - sqrt(252))**2.\nAnswer: -6*sqrt(7) + 2260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -8*f. Let v = -8 - -12. Let j(k) = k**2 + 5*k**2 - v*k**2. What is j(c(t))?\nAnswer: 128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -139*h - 75?\nAnswer: -139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02459300944 rounded to 6 dps?\nAnswer: 0.024593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i - 1. Suppose 8*x - 4 = 20. Suppose -x*k + 25 = 5*w - 12, k - 2*w = -6. Suppose 17 = 2*v + k*h - 7*h, -20 = -2*v + 4*h. What is s(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4.7. Let q = -91.7 - -97. Let x = 1.3 - q. Which is the second biggest value? (a) 1\/4 (b) x (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ab - -2?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 5:33 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 192399*k**2 + 2077315*k + 423159.\nAnswer: (k - 38469)*(k - 11)*(5*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, d: 7, k: 9}. What is prob of picking 2 k and 1 p?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 559009349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11783921 and 0.1?\nAnswer: 11783920.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + 152?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 7) to base 6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87*u + 61*u - 26 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 - 66. Suppose 3*v + 14 = 5*p, j*v + p - 8 = -0. Let m(c) = -c**2 + 15*c - 17. Let y be m(12). Solve 4 = v*n - x, 4*n - 13 - y = -4*x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 6. Let t = -3 + 6. What are the prime factors of u*(t\/1 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, 0.3, 1\/871, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 7*n + 8. Let t be u(-6). Suppose 5*s - t*a + 307 = 0, 0*a - 5*a + 232 = -4*s. What is the common denominator of 54\/(-4)*33\/s and -17\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1565 is divided by 515.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14204 - -3?\nAnswer: -14201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 12 = 4*c - 5, -3 = -c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11\/2)\/((-2)\/(-4)). Let m = q + -19. List the prime factors of m\/10 - 2233\/(-35).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.1 (c) -289527\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3) + (-7 - (-25 + 31))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqpqpqqpp. What is prob of picking 1 p and 3 q?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6988.97143 + -6989. Let z = -0.029 - y. What is z rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402, -301, -200?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4*y + 4*y**2 + 17*y**2 - 3*y + 0*y**2 as d*y + c + m*y**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.028157l?\nAnswer: 4028.157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12, 17, 22?\n\"Answer: 5*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2623.953 to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**3 + 2*z**2 + 5*z + 4. Let v(t) = 3*t**3 - 2*t**2 - 4*t - 3. Let f(g) = -2*s(g) - 3*v(g). Let h(k) = k**3 - k**2 - k. Determine f(p) + 2*h(p).\nAnswer: -p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 0 = 12, 18*n - 22*q - 22*q - 28 = 23*q - 71*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 4 - 1. Let w(d) = -d**2 + 2*d + 5. Let u be w(4). Let v be (-68)\/12 - u\/(54\/12). Sort a, -4, v, -3.\nAnswer: v, -4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*c - 2*z, 0*c - 4*c + 6 = 2*z. Factor 38*h**2 - 57*h**c + 15*h**3 + 3*h**4 + 31*h**2.\nAnswer: 3*h**2*(h + 1)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 27*k**2 - 28*k + 7. Let x be y(-28). Sort -4, x, 3 in decreasing order.\nAnswer: x, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.32 + 15.68. Let o = b + -22.8. Let n = 3.8 + o. Sort -5, -4, n in descending order.\nAnswer: n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 13*d + 12. What is the highest common factor of d and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24706571 (base 8) to base 15\nAnswer: -732670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 591564676 to the power of 1\/3, to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1730939004?\nAnswer: 2, 3, 97, 165229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3146, 3138, 3126, 3110?\nAnswer: 3090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-28\/3)*f**6\/f*((f**(-10)*f)\/f*f)**31)**(-2\/11) assuming f is positive.\nAnswer: f**(1700\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 30 = 0, -3*c - 808*a + 28 = -803*a for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s - 11. Give f(7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 42*g + 11. Let x be v(17). Suppose 4*z - 511 = x. List the prime factors of z.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 860504447 a multiple of 4104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2\/9, 456?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -135*f - 270. Let t be v(-2). Let j(s) = 5*s - 2. What is j(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-163*u + 99*u - 320*u)*(0 - 2 + 0)*(-3*u + 3 - 3) in the form h*u + j*u**2 + t and give j.\nAnswer: -2304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*v - 366. Suppose -234 = -3*x + 4*p, -3*x = 5*p - v - 51. Calculate the greatest common divisor of x and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692600 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-159)\/(-6))\/((-28)\/(-728))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**4\/2 - 8*w**3\/3 - 8*w + 50092. Let o(j) = j**3 + 5*j**2 + 5. Let p(c) = -8*c. Let q be p(-1). What is q*o(l) + 5*n(l)?\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.6784 to zero dps.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10*(-12)\/72*-18.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15299 is divided by 762.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002 (base 5) to base 2.\nAnswer: -1111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 5 = -23. Let v = 0.4 - 0.2. Is v less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 4:34 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 8bed4?\nAnswer: 8bed5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*s = 2*s + 278, 4*t - 3*s = 1091. What is the greatest common divisor of 25 and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -3.2929?\nAnswer: -3.2929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**7\/840 - c**5\/120 + c**3\/3 + 3. Let x(h) be the third derivative of u(h). What is the second derivative of x(f) wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x - 3. Calculate k(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-252)\/(-96))\/(-7)*(-20)\/(-6).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**2 + 10*t**2 - 39*t**2 + 16*t**2 + 7*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 97444549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 10 = 2*l, 0 = -l + 5*h + 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/((-144)\/(-3672))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158709 is divided by 364.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140061, -140067, -140073, -140079?\nAnswer: -140085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwwiwwih. What is prob of picking 3 w and 1 i?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36911108 divided by 13393.\nAnswer: -2756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 n, and 2 r when four letters picked without replacement from rxrxnnrrnxrrxrrxn?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5663832 plus -122550.8?\nAnswer: 5541281.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6205013, 12409989, 18614951, 24819893, 31024809?\n\"Answer: -u**3 - u**2 + 6204986*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255.4661m to centimeters.\nAnswer: 25546.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rudurrdgrddddgudgdgd. Give prob of picking 2 g.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4082834 and -18.\nAnswer: 4082816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and ((-3)\/9)\/(20\/(-151680))?\nAnswer: 2528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188019, -187971, -187923, -187875?\nAnswer: -187827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2247, 9019, 20309, 36117, 56443, 81287, 110649?\n\"Answer: 2259*p**2 - 5*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q**4 - 32*q**3 - 2*q - 1106?\nAnswer: -48*q**2 - 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 3*m**2 + 1 + m - m**3 - 3 + 0*m**2. Let v be h(4). Suppose -v*z = -0*z - 30. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97887 + -21544. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50670 or -0.3?\nAnswer: -50670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10787 + 2744268793.\nAnswer: 2744258006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -1, 0 = 3*k - 56*v + 58*v - 29155. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 2)*(13968*j + 7372*j - 16197*j + (-1 + 1 - 1)*(3*j + 3*j - 5*j)) + (-4*j + 2*j + 3*j)*(4 + 2 - 4) in the form c + d*j and give d.\nAnswer: -5140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 155*k - 380*k + 10941 + 11109 for k.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 5*o - 2*o)*(3 - 2 - 2) + (3*o - 5*o + o)*(0 + 0 - 2) + 3*o + o - 3*o + 5*o - 3*o - 4*o + 0*o + 0*o - 2*o to the form i*o + r and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + 3 + (8 - 3 - (8 + -7)) - -11?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhk when three letters picked without replacement from {h: 5, v: 3, a: 1, k: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 47*g**3 + g**2 - 5 - 30*g**3 + 19*g**3 to the form b*g + c*g**3 + w*g**2 + f and give c.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3.6257595, -1\/4, 0.5 in decreasing order.\nAnswer: 0.5, -1\/4, -3.6257595, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, o: 5, w: 1, t: 8, x: 2, i: 3}. What is prob of picking 1 i, 1 e, 1 t, and 1 w?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/19)\/(w*w**12*w*w))\/(w**(-2\/5)*w*w**(7\/3)*w))**(-7\/2) assuming w is positive.\nAnswer: w**(18991\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*u + 28*u - 416 = -35*u. Calculate the smallest common multiple of 12 and u.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 26*q + 74, -30*q = 2*b - 11*q - 16*q + 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 7258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -13*j + 0 + 14*j + 1. Let o be i(3). Differentiate 7*t**3 - o*t**3 + 4 - 7*t**3 wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*k**2 - 93*k + 93*k)*(-k**2 + k**2 + 2*k**2).\nAnswer: -116*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - ((-19 - (-15 - (-1 + -3))) + 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 91*a**3 + 47*a**2 + a - 581. Let b(v) = -2*v**3 + 3*v**2 - v + 1. Let y(f) = -6*b(f) + d(f). Find the second derivative of y(w) wrt w.\nAnswer: 618*w + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 - 81*u - 3. Let k(d) = 3*d**2 + 161*d + 5. What is -5*h(p) - 3*k(p)?\nAnswer: p**2 - 78*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -565 less than -565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*c + 26, -2*c - 3*i + 14 = i. Let y be ((-3)\/6 + 1)*6. Let l = -1 - -1. Solve 3*k - y*b - 6 = l, -4*b + 1 = 2*k + c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -173, -190, -221, -272, -349, -458, -605?\n\"Answer: -b**3 - b**2 - 7*b - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.394 - -0.606. Let x = 1\/222 - 77\/666. Which is the nearest to x? (a) -1 (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67723, -67855, -67991, -68131, -68275?\nAnswer: -68423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 3*u + 2. Let s be n(4). Suppose -5*r + s = -4. Solve 4*g + 26 = -2*j, r*j - 3 = j + 2*g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from {s: 18, e: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -331280 divided by 5\nAnswer: -66256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6241 is divided by 1940?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 286.2 + -251. Let n = a - 35. Let c be (-12)\/(-8)*-2 + (-45)\/(-12). What is the closest to 1\/2 in -21, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*b - f - 2*f, 0 = -b + 4*f - 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-2))\/(9\/12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 9 + -3 + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3308.14 - -3308.2. Let q = -5.1 - -1.1. Let j = 4 + q. Which is the smallest value? (a) j (b) -2 (c) m (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 7:53 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -195 - -195.6. Let s(y) = y - y**2 - 2*y - 3 + 5*y. Let g be s(4). What is the closest to p in -2\/5, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 5*o**4\/3 + 94*o**3\/3 + 36*o**2 + 19*o. Factor h(d).\nAnswer: 4*(d + 9)*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.07 (b) 12 (c) 2\/7 (d) 0.2 (e) -4\/7 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 945445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, q: 8, i: 6}. What is prob of sequence qi?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9339 and -11694715578?\nAnswer: 11694706239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 + 16*g**2 - 67*g - 407. Calculate o(-9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -398 + 407. Suppose -4*q + w*q - 1810 = 0. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2661 + 3?\nAnswer: -2655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**3 + u**2 + 437*u + 2962. Determine h(-7).\nAnswer: -1420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 15, 2*f - q + 1442071 = 6*f. Let k = f + -210616. Suppose 65199 = -9*j - k. Round j to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1335, 1329, 1311, 1275, 1215, 1125, 999?\nAnswer: 831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22341.1594 + -22339. What is b rounded to 2 dps?\nAnswer: 2.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqqq when four letters picked without replacement from yyqvyqqqqqqqqyyqqy.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -619, -1364, -2375, -3634, -5123, -6824, -8719?\nAnswer: -10790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2718 is divided by 136.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*v**3 - 3*v**5 - 52*v**2 - 4*v**3 + 46*v**2.\nAnswer: -3*v**2*(v - 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 12 = z - 5*i, -6*z + 21*i = 19*i - 40 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121278*w + 60701*w + 60647*w.\nAnswer: 70*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -4*n + 5*n - 18, 0 = 2*x + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-8) - ((-77)\/28 - 0). Sort 4, q, -7 in descending order.\nAnswer: 4, q, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1299*d**2 + 403 - 403)*(3*d - 2*d + d)*(d**2 - 5*d**2 + 2*d**2).\nAnswer: -5196*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2763446, -5526887, -8290328, -11053769?\n\"Answer: -2763441*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + a. Let c be -2*((-1)\/2 - a). Which is smaller: 2\/5 or c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -806141, -1612279, -2418417, -3224555, -4030693, -4836831?\nAnswer: -5642969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/8 and -1 + (-677)\/(-282) - 146\/219?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1658.\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - v. Let o(s) = 8*s**2 - s - 2. Give k(x) - o(x).\nAnswer: -9*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -j + 15 + 1, -2*g + j = 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 557228 and 784.\nAnswer: 2228912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*a + 1599 - 143. Calculate the lowest common multiple of 91 and a.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8967 is divided by 8966.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 17 - 6)\/2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2\/4 - 61*k\/2 - 60 = 0. What is k?\nAnswer: -120, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -543*c**4 - 174*c**2 + 470*c + 25.\nAnswer: -6516*c**2 - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -71 in 1, 57, -9, -2, 3, -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1779, -3571, -5375, -7197, -9043, -10919?\n\"Answer: -s**3 - 1785*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (l**3 + 17672 + 2*l**2 + 3*l**3 - 17451)*(4 - 4 - 3*l) in the form c*l + v*l**4 + d + f*l**3 + n*l**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 - 0.1227258267641.\nAnswer: 15.8772741732359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (1*(-1 + sqrt(192)) + sqrt(192) + sqrt(192)))**2 + 3 + sqrt(192) + -2 + ((4*sqrt(192) - sqrt(192)) + 4)*-6*5.\nAnswer: -744*sqrt(3) + 650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - l + 4. Let w = 13 - l. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*s - 187577 + 31014 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*t - 504 = -118*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5603.\nAnswer: 13, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmfmfm. What is prob of picking 1 m and 1 f?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m = -6*m - 55 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*u = 54533, -3*f - 54*u = -56*u - 163543. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1180 + -718. What is the remainder when g is divided by 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1009 divided by 16.\nAnswer: 1009\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11221001 - -110?\nAnswer: -11220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -11*r**3\/6 + 45*r**2 - 59*r. Let b be s(8). Solve 6 + b = 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146350268 to the power of 1\/2, to the nearest integer?\nAnswer: 12098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340806.\nAnswer: 2, 3, 79, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-85)\/15 - -4. Is 6 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2431 by -11.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 + 39. Let s = 25.0015 + u. Round s to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2. Let l(h) = -261486*h. What is l(u(d))?\nAnswer: -1045944*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -105289*b*t**3 - 164827*b + t**3 wrt t?\nAnswer: -315867*b*t**2 + 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (18 + -13 - (-2 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-1)\/(-3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -a - 4*a. Let h = -1 - a. Suppose -3*m + h = -4*s + 3, -3*m + 5*s = 0. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 34 - 302. Calculate the remainder when 66 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*s + 15264 - 16980 = -s for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 5, -2*w - 5*g + 347 = 88. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 127, 253, 379?\n\"Answer: 126*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 2:23 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 + ((202 + -4)\/(-11))\/2. Let x(j) be the third derivative of s + 1\/30*j**6 - 23*j**2 + 0*j - 1\/5*j**5 + 0*j**4 + 0*j**3. Factor x(a).\nAnswer: 4*a**2*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*d + 132. Let h = d - -121. Suppose -2*j - 3*j + h = 2*q, 2*q = j - 19. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 + o - o + (1 - 1 + 1)*(4*o**2 - o**2 - 4*o**2) + 8*o**2 + 272*o**2 - 6*o**2 in the form v + t*o + h*o**2 and give h.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4)*(1 - z - 1) + 0 + 3*z + 0 + (1 + 0 + 1)*(2*z + 3*z - 6*z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76656.31ug to nanograms.\nAnswer: 76656310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 12:33 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 459812 and 4448.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-8\/7)*f*f)\/f**2)\/(f*((f\/f**(-2\/7)*f*f)\/f*f)\/f)**(5\/7))**(-25) assuming f is positive.\nAnswer: f**(3050\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 9*i**2 - 160*i - 41. Let q(y) = -26*y**2 + 452*y + 120. Calculate -17*d(j) - 6*q(j).\nAnswer: 3*j**2 + 8*j - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, j: 1, e: 5, o: 4, i: 4}. Give prob of sequence zje.\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14001*c**4 - 9*c**2 - 211581.\nAnswer: -56004*c**3 - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v - 4. Let m = -3 + -1. Let j be i(m). Let o be 0 - j - (-21)\/7. Which is the biggest value? (a) o (b) 2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -9. 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: Express (24*j - 166 - 52*j + 26*j)*(3*j - j + 0*j) as x + l*j**2 + p*j and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200011112011222 (base 3) to base 5.\nAnswer: 4432430020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120287 and 962296.\nAnswer: 962296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 28 = 5*f + 5*j, 4*f = 4*j + 24 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -6*q + 80. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/4853602 and 49\/188.\nAnswer: 456238588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 476081?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 965 + -628. What is the remainder when b is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.18676 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (5 + -5 - 4 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*214240.\nAnswer: 5570240","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010557959 rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 3*r = -27, 2*t + 5*r - 2*r + 22 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*j = -480, -2*j - 240 = -2*v + j. Calculate the highest common divisor of 64 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 288*o**3 - 4*o - 109. Let m(h) = -433*h**3 + 6*h + 163. Let u(z) = 5*m(z) + 7*y(z). What is the derivative of u(n) wrt n?\nAnswer: -447*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, 0, -15, 1, -1475.\nAnswer: -1475, -15, 0, 1, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 84*f + 349. What is the hundreds digit of n(-33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + l = -0*q + 33, 0 = q - 3*l - 1. Suppose -4*a + q = -18. Calculate the remainder when 26 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n**2 - 4*n. Let q(o) = 17*o + 15*o - 52*o + 19*o. Determine t(q(s)).\nAnswer: -6*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 92707707 greater than 92707706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 29655*n - 177887. What is k(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 742 plus 0.01?\nAnswer: 742.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 939\/2 (b) 0 (c) -1 (d) 0.01 (e) 0.84 (f) -6 (g) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34 - -14348125?\nAnswer: 14348160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 862 + -1520. Let a = r - -985. Is 42 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1582 is divided by 94?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 m when three letters picked without replacement from {m: 3, x: 3, c: 2, l: 1, g: 2, p: 4}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -653 + 654.127. Let t = -0.796 + d. Let a = 0.39 - t. Round a to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94 - -94. Let f = 1\/413 - -18583\/826. Let y = 23 - f. Is k greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-2)*(-3 - -1). Suppose 21 = i*n - 4. Suppose 204 = -y + n*y. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 24 = 3*m, -3*m = -3*k - m + 20. Let u = -1 - -3. Suppose -24 - u = -l - 2*x, -k*x - 78 = -3*l. What is the remainder when l is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = -y - 54. Let q be (19 - 21)*(67\/2 + -3). Let x = q + y. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3133795*q*z**3 - 3*z**3 + 6*z**2 - 2381*z + 2 wrt q.\nAnswer: 3133795*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l + 0*l - 29*l.\nAnswer: -40*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y - 3. Let z be a(4). Suppose 24 = 3*d - 3*t, -4*d = d + 4*t + z. What is the units digit of 4\/(d + -7)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -3\/1345, 5 in ascending order.\nAnswer: -3, -3\/1345, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2910194877 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90325 and 2725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 + 2*x**4 - 12 - 4)*(3 - 1 - 4) as n*x**3 + p*x**2 + y*x**4 + c + m*x and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h. Let b(a) = -2*a**2 + 115*a - 2543. Determine b(l(p)).\nAnswer: -2*p**2 + 115*p - 2543","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -7502.15 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(80)\/(sqrt(8) + sqrt(24)\/sqrt(3))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -2\/3, 3\/22, -2, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q - 7. Let o(i) = 2. Let h(u) = m(u) + 3*o(u). Give h(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39643?\nAnswer: 29, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -568*c**2 + 9*c + 10524 with respect to c.\nAnswer: -1136*c + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**36)**37 assuming g is positive.\nAnswer: g**(-1332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5\/1)\/(459\/(-255) + (-80)\/(-50))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1539) + -1)**2 - -1*(sqrt(2299) + sqrt(2299)*-2).\nAnswer: -29*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**3 + 0*z**4 + 0*z**5 + 1\/6*z**6 - 1 + 0*z**2 + 0*z. What is the third derivative of j(b) wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6*q + 39344. Let n = q + 10164. What is n rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 6:15 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42341 (base 5) in base 6?\nAnswer: 21102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 1347 and 95.5.\nAnswer: 1442.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2681 divided by -425.\nAnswer: 2681\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6048) + sqrt(6048)*-2 + sqrt(6048) - sqrt(6048))\/((sqrt(120) + sqrt(30) + sqrt(30))\/sqrt(5)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*l - 68*l - 77*l + 243*l + 487763*l**2.\nAnswer: 487763*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**3 + 2*u**2 + 13. Let n(r) = r**3 - r**2. Let m(w) = 2*n(w) + p(w). Differentiate m(j) with respect to j.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.73 + -1.53. What is v rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17961*r**3*x**2 - r**3 + 2*r**2*x**2 + 3*x + 2418 wrt r.\nAnswer: -107766*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.01 + 109.01. Let o = 1543882155 - 1543882262.0000053. Let n = o + k. What is n rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*k**3*p + k**3 + 2*k**2*p - 3*k + 6*p wrt k?\nAnswer: 108*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*w - 27*w = 1311. Calculate the remainder when 221 is divided by w.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 75*b + 1271. Let h be v(49). Let z(c) = c**3 + 11*c**2 + 17*c. Calculate z(h).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/((-3)\/(-4)))\/(20\/30). Solve c = b*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y + y**2 + 2*y**2 - 3*y + 1 - 1 - y**2 + 0*y**2 + y**2 + y**2 + (1 - 1 - 2*y)*(0*y - 2*y + 4*y) + y**2 - y**2 + 2*y**2.\nAnswer: 2*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-15))\/q*q\/q**(-14) assuming q is positive.\nAnswer: q**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/s**2)*s))\/s**0*(s\/(s*s**(2\/7)))**(6\/5)*(s\/((s\/(s*s**0*s*s)*s)\/s))**21*(s\/(s\/((s**(-1\/3)*s)\/s)))**(-8\/13) assuming s is positive.\nAnswer: s**(83077\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -18)\/(-4) + (43 - (-1 + 10))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.5 - 0.5. Let v = y + 1. What is the third smallest value in v, 4\/5, -2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2386835, -4773631, -7160429, -9547229, -11934031, -14320835?\nAnswer: -16707641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 136000000 to the nearest 1000000.\nAnswer: 136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 3:42 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 145, 292, 439, 586, 733, 880?\n\"Answer: 147*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.262 (b) -0.1 (c) -55512 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -23*b - 75, 0 = -6980*p + 6977*p + 2*b + 34 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 245 = 5*i, -16*v - 6 = -19*v. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74706 is divided by 18608.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 6) + -7 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*a**2 + 51*a**2 - 26*a**2 + 11 to the form n*a**2 + d + j*a and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -29312.9472 rounded to the nearest 10?\nAnswer: -29310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 k when three letters picked without replacement from kikiiiiikikiii?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 82314.95 centuries in decades?\nAnswer: 823149.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77 - 51. Suppose 0 = 21*g - n*g - 10. Let h(d) = 754*d - 2. Let l be h(g). What is l rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 173 = 4*w, -4*t = -3*w + 77 - 296. Suppose -3*f + 45 = -t. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1805 - 1800. Solve -20*g - b*k = -17*g + 5, -g + k + 9 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3790*c**2 + 532*c**2 - 1494*c**2)*(3*c**3 - c**3 - c**3).\nAnswer: -4752*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165137 at least 22137600\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*h**2 + 26 - 52*h**2 + 14*h**2 wrt h.\nAnswer: -60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 2*t**3\/3 + 253*t**2 - 508*t + 10205. Factor l(z).\nAnswer: 2*(z - 1)*(z + 254)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*u + 4*u. Let l = 15\/52 + 1307\/156. What is the common denominator of l and -1*(u\/6 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 428.193us?\nAnswer: 428193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3\/14, 0.2, -1.32 in ascending order.\nAnswer: -1.32, 0.2, 3\/14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (384\/(-9))\/((-1)\/(-3)). Let b = 167 - d. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/27))**18)**(-24) assuming k is positive.\nAnswer: k**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43398 and 19872?\nAnswer: 47911392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 4, -3, 29, 465 in increasing order.\nAnswer: -4, -3, 0, 4, 29, 465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**8\/336 - y**7\/40 - 11*y**6\/160 - 19*y**5\/240 - y**4\/32 - 2*y**2 + 12. Find m, given that s(m) = 0.\nAnswer: -3, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2580)\/2795*455\/5985.\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 13*k**6\/60 - 13*k**4\/12 - 5*k**2 - 2. What is the second derivative of z(c) wrt c?\nAnswer: 156*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/49664 and -43\/272896.\nAnswer: 26470912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**5 - 3*q**5 - 2*q**5 + (10*q + 25 - 25)*(0*q**4 - q**4 + 3*q**4) - 4*q**5 + 9*q**5 + 14*q**5 + q + 2*q**5 - q.\nAnswer: 40*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 146584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*g + 44*g = 15. Calculate the common denominator of (58\/28)\/((g + 8)\/(-6)) and (23*1)\/(-3 + 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppf when three letters picked without replacement from ppzxxpf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -4\/25*g**5 + 3\/10*g**4 + 0*g - 2\/15*g**3 + 0*g**2 + 3. Factor v(s).\nAnswer: -2*s**2*(s - 1)*(2*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 15 = -9. Sort i, -4, 5, 0 in ascending order.\nAnswer: -4, 0, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 7*a**6\/180 - 7*a**4\/24 + 4*a**3\/3 - 16. Let v(b) be the third derivative of d(b). Find the first derivative of v(y) wrt y.\nAnswer: 28*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17640, -17629, -17618, -17607, -17596?\n\"Answer: 11*g - 17651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16 + 1\/((-12)\/(-8) - 2). Suppose -l*u + 35 = -9*u. What is the remainder when 268\/10 - 6\/(-30) is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*x + 179*x - 77*x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 2*x - 3. Suppose t + 42 = 5*w, w = -3*t + 4*t + 6. Suppose 0 = 9*p + 9 + w. What is n(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 272 and 188?\nAnswer: 12784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 150\/(-2600)*104\/48\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 17*h**3 - 30*h**3 - 11*h**3)*(2*h - 4*h + 3*h).\nAnswer: -58*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2, 1.55, 9, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.25261 rounded to two decimal places?\nAnswer: -1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {p: 8, j: 1, i: 11}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 2*y**2 - 3*y - 6. Give d(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(-1*sqrt(245) - sqrt(245)) + ((sqrt(5) - (-3*sqrt(5) + 3)) + 1 + 2)**2.\nAnswer: -84*sqrt(5) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-8) - (-35)\/(-4). Calculate the common denominator of 12\/n*(-19)\/3 and 95\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7104 - 7103.99981995. Round y to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162064 divided by 81032\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/2)\/((-6)\/(-84)). Let m = y + -25. Calculate the remainder when 34 is divided by 46\/m + 12\/30.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/5, 5\/4, -1.3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4909379037.\nAnswer: 3, 1636459679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, g: 5}. What is prob of picking 3 g?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380 + 360 = -5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24225 + 5100?\nAnswer: -15125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(19845\/(-252))*(-147)\/(-6)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 15 = -1. Suppose -2*t + 40 + 2 = 2*a, t = -5*a + 17. Suppose -3 = -3*j, t + 105 = p - x*j. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525.52 + 101605?\nAnswer: 102130.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**4\/8 - 1191*u**3\/8 + 16687*u**2\/4 + 93951*u\/2 + 99351 = 0?\nAnswer: -6, -3, 38, 1162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Let u be 2\/4*(-1150)\/(-5). Let o(a) = 115*a - 2*a**2 - u*a - 30*a**2. What is t(o(d))?\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32964004 a multiple of 626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2058.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 28a?\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1 - (1 + -1 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 16.6065?\nAnswer: 19.6065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 851*z**4\/8 + 11*z**2 - 124*z. Let c(u) = 6*u**2. What is c(h(p))?\nAnswer: 39106854*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 3*c**2 + 12*c + 2. Determine s(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 + 2)*348\/(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 16*h**2 + 18*h + 22. Let n be t(-17). Suppose 3*r + 0*r = 6. Calculate the highest common factor of r and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*a - 1462 - 8 = 95*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 14*p - 40. Determine k(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31575779.\nAnswer: 179, 176401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 6*d - 6. What is s(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r - r + r + 6)*(2 - 2 - 2*r + (4*r - r - 2*r)*(-4 - 1 + 4)) to the form m*r**2 + n*r + l and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.55194 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1980 and 1620.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*h - 28*h - 15 = 3*a, -7*a - 16 = -3*h for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/5))**(6\/17)*((r*r\/(r**(1\/4)*r))\/r*r)\/(r\/(r*r**(-3)\/r))*(r**(-1\/9)\/r**(-7))\/(r**(-2\/3)*r*r)**(-3) assuming r is positive.\nAnswer: r**(24023\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 5936.\nAnswer: 11872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 4*u - 4*h, -1130*h - 20 = 6*u - 1128*h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(764*l + 4*l**2 - 34*l**4 - 764*l).\nAnswer: -34*l**4 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1183 = -32*q + 33*q, 0 = q - m - 1193. List the prime factors of q.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*g**5 + 77*g**4 + 491*g**3 + 118136030*g wrt g?\nAnswer: -1360*g**3 + 924*g**2 + 2946*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/42 and -25\/136?\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -146982, -146962, -146926, -146874, -146806, -146722?\n\"Answer: 8*r**2 - 4*r - 146986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**10*v*(v*v**(8\/3)\/v)\/v*((v\/v**0)\/v*v)\/v**(-11))**39 assuming v is positive.\nAnswer: v**962","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4\/3 (b) -37 (c) -275 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 131167765 divided by -6?\nAnswer: -131167765\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - 3*g + 11*g)*(-15*g + g + 2*g) + g**2 + 0*g**2 + g**2 + (0*g + 5*g - 3*g)*(-2*g + 2*g - 2*g) to the form u*g**2 + b*g + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.32 (b) 2\/4517 (c) -0.2 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2463.\nAnswer: 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 631075571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/8, -0.01, -265?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**4 - i**2 + i**4 - i + i**4 + i**4 + 2*i**3 to the form d*i + q*i**2 + p + y*i**3 + r*i**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13 and 3976305.\nAnswer: 516919.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 98?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4*n = 28, 11*x + 3*n - 8 = -5 + 43 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*843\/36 - (-1)\/(-4). What is the highest common factor of 40 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*a + 0*a + 637 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 9:37 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.18392 + 2.18392. Which is the third smallest value? (a) 1 (b) 5\/6 (c) v (d) 568\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**2*c**3 + 20*b**2*c**2 + 3*b**2*c + b**2 + 7*c**4 - 111*c wrt c.\nAnswer: 18*b**2*c + 40*b**2 + 84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 440715 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 140.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 2 = -2*a + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5 = 0, 3*m + 5*o = 5*m + 1. Let g(r) = -r**3 + 3*r**2 - 3*r - 3. Let p(c) = -8*c**2 + 6 + 0*c**3 + 2 + 8*c + 2*c**3. Calculate m*p(q) - 8*g(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-54)\/36*(-101360)\/(-12). Let r = n + 18744. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*d - 3*n - 367, 5*d + 5*n - 505 = 0. Let p be 4 - 2*(-51)\/6. What is the greatest common factor of d and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112763209\/82053807 + -68\/80209. Let w = -7\/33 + z. Which is smaller: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2307*w**2 - 4607*w**2 + 2302*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-6))\/(12\/32)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.12 - 4. Let g = 4 + -3.88. Let c = a - g. What is the nearest to 0.1 in 0.3, 2\/11, c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/24*3*43)\/1. Let a = w - -90. Is 4\/(8\/a + (-144)\/73) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 67*h - 1744. Let t be y(26). Sort 24, -5, t, 33 in ascending order.\nAnswer: -5, t, 24, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -859*h - 8144 + 956 = 3120 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4758)\/(-2440))\/((-6)\/(-32)*-2)\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 4*g**2 - 4*g - 9. Let q = 894 + -780. Calculate the remainder when q is divided by j(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -62540635 and -0.5.\nAnswer: 31270317.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 10*f - 17. Determine z(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -3*x - 22, 4*a + 1876*x = 1881*x + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000033888 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 603, 673, 737, 795, 847, 893?\nAnswer: 933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**5 + k - k + (57*k**2 + 13*k**5 - 57*k**2)*(4 - 5 - 1) - 4*k**5 + 2*k + 4*k**5 + k**5 + 2*k**2.\nAnswer: -27*k**5 + 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1456 (base 10) in base 14?\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 1, 30*i - 299*s + 295*s = -2*i + 1764 for i.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 11:25 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-40)*l*l**6*(l**26)**49 assuming l is positive.\nAnswer: l**1241","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/5 - 24*n**3\/5 - 14*n**2 + 24*n\/5 + 72\/5 = 0. What is n?\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 218, 455, 678, 881, 1058, 1203, 1310?\n\"Answer: -a**3 - a**2 + 247*a - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-555)\/378) + (-88)\/792.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487549?\nAnswer: 37, 13177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, -15, -40, -75, -120, -175?\n\"Answer: -5*w**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 480*n**3 + 5*n - 4. What is the tens digit of g(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.01 (b) -0.3 (c) -7 (d) 0.1 (e) 0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v - 563637 = -18*v - 19*v. What is the thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, -3, 5, 0.32?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 41 = m, 0*a - 2*a = 5*m - 229. Let h = 73 - m. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -17, -67, -169, -341?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/48 (b) -0.03 (c) 0.1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 263800, 263801, 263802, 263803, 263804, 263805?\n\"Answer: r + 263799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39\/76 - 24\/19. Suppose 3*o = -5*s + 7*o - 288, 0 = -s + 3*o - 51. Let u = s + 359\/6. Which is the smallest value? (a) y (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x + 127. Suppose 4*k + 9 = -2*r + 81, 5*r - 199 = 9*k. Determine d(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 13*q + 3. Suppose -5*r + 9*s - 4*s + 175 = 0, -2*r + 3*s = -68. Let c = r - 18. List the prime factors of g(c).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 56\/(-35) - (-56)\/(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*u = -0*u + 5, -4*v + 2*u + 10 = 0. Suppose -f = 3*f, -5 = v*n + f. Let q = -6.1 - -6. Which is bigger: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 + 310*b**2 - 86*b - 13222. Determine s(-155).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3113815 by -1.\nAnswer: -3113815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 171468.3 centuries?\nAnswer: 205761960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 10) to base 14.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 888868, 888934, 888994, 889048?\nAnswer: 889096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7*v - 7. Let m be i(-4). What is the greatest common divisor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -231972905*o - 277949070.\nAnswer: -231972905","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**3\/6 + 13*a**2\/2 + a. Suppose 0 = 11*d + 13*d + 216. Let p be v(d). Solve 4 + p = 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 24 = 6*p. Suppose -4*a = -p*a - 72. Are -9 and a non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 - 30*l - 43. Let q be a(-8). Solve -b - 14 = 3*j - 3*b, -5*b + 25 = -q*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-526)\/(-132) - (-18)\/108. Let x = 1037\/3 + -349. Let w = x + d. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70440.999944311 - 70441. Round j to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 + 206516*w**3 - 1032680*w**2.\nAnswer: 4*w**2*(w - 5)*(w + 51634)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175392 and 1890?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5083 + -1c56?\nAnswer: 322b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + 150\/40*(-280)\/210?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0524 + 0.052399564. Round r to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 3:37 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 108*q. Let c be t(-1). Let p = -36 - c. What is the highest common factor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 8 + 6)*(-46 - 7*c + 45 - 15*c) to f + y*c and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91\/(-182))\/(1\/2)*17\/1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 = 0, -32 = -4*h + r - 2. Suppose -19*g + 99 = -53. Calculate the greatest common divisor of h and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 5 - 3661*u - 8 - 5 + 1316*u in the form t + l*u and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 262 (b) -8 (c) -3\/38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38793 is divided by 159.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*s + 8, -3*s + 2*p + 6 = -1. Solve 0*i = 3*i - s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -7) + -8 + (5 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14807, 29530, 44265, 59018, 73795, 88602, 103445, 118330?\n\"Answer: h**3 + 14716*h + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 410*a**2 + a. Let b(l) = -6*l + 19. Let q be b(3). List the prime factors of n(q).\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 9*n**2 - 3*n + 5. Let j(y) = y**2 + 1. Let l(t) = i(t) - 5*j(t). Let z be l(-5). Let q = z - -18. Solve 5*p + 23 = q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 7) to base 12\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0183686 - 0.58775.\nAnswer: -0.5693814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.102 take away 383792914?\nAnswer: -383792912.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366347704 a multiple of 1740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 315?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 223*-42\nAnswer: -9366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 364 - 358. What is the remainder when i is divided by (-2 - 1)\/((-3)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 232652 - 534?\nAnswer: 232115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194*y - 24*y - 9*y + 228*y to k*y + q and give k.\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2000))\/((sqrt(20)\/sqrt(2) + sqrt(10))*-3).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/28)\/(6\/(-16))*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**3 + 7*r**2 - 64*r - 142. Determine n(-3).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**4\/6 - 23*r**3\/6 - 21*r**2\/2 + 90*r. Let c be f(-9). Solve 3*p = 9*p - c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/3)\/((-3)\/(-1726)). Let h = l + -192. Sort 0.2, h, -2\/23.\nAnswer: h, -2\/23, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*36\/42*42\/(-12)*-3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, m: 2, r: 5, l: 3, o: 1, a: 1}. Give prob of sequence hrlm.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14397? (a) 1 (b) 5 (c) -11\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -30 and -387\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 61 + 0 + (-109 - -12).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 8. Suppose -j + 35 = 2*g + p, 0 = -2*g + 5*j - 1. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 21) + (-1 + -8 - (20 - (-3 + 29))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*g - 3*y, 0 = 5*g + y - 72 + 23. Let l = -9 + g. Suppose -14 = -2*c - 2*a, -c + 3*a - 13 = -l. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 + 2 - 2)*(0*o**2 - 4*o**2 + 5*o**2) - 116*o**3 - 21*o**3 + 6317*o**5 - 6312*o**5.\nAnswer: 4*o**5 - 137*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*(sqrt(5) - sqrt(20)\/sqrt(4)) + sqrt(5) + (sqrt(5) - sqrt(15)\/sqrt(3))**2 + 2 + 3 + sqrt(45) + 5).\nAnswer: -40 - 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -688 - -6200\/9. Let o = -7\/18 + f. What is the closest to -1\/3 in -1\/13, o, -1?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/13)\/g)\/(g\/((g**10\/g)\/g*g)))\/(g*g**(2\/9))**(-36) assuming g is positive.\nAnswer: g**(664\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -4\/5, 1.14, -4, 4 in decreasing order.\nAnswer: 4, 1.14, -1\/4, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*y + 2*p + 14 = 70*y, -5 = -58*p + 57*p for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + -20?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**4\/4 + 585*l**3\/2 + 251019*l**2\/4 + 1969029*l + 16842087 = 0.\nAnswer: -153, -18, 1359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.78 + 0.22. Let h = -14 + y. What is the nearest to 0.6 in h, -4, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -5.7. Let a = k - 0.8. Let x = 0.5 - a. What is the second smallest value in x, 2\/7, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10162?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*h**2 - 17*h**2 - 23*h**2 + 6 - 74*h + 18*h**2 in the form s*h + i + l*h**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -21. Let p(z) = 0*z + 3*z + l*z - 4*z + 15. Let x be p(-11). Solve -x*a - 20 + 0 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/8, -1.44, 5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 s when three letters picked without replacement from {t: 4, f: 3, u: 1, s: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 67. Let l(p) = -p - 1. Let g be l(-1). Is q(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, o: 1, l: 1, i: 1, t: 1, a: 2}. What is prob of sequence ota?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197 = 47*u - 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1293, 2204, 3111, 4014, 4913?\nAnswer: 5808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1799, 1, 3, -3, -2 in decreasing order.\nAnswer: 5, 3, 1, -2, -3, -1799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 147 - (0 + 5 + -3). Suppose i - h = -4*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 2070\/(-34) + (-4)\/34)*-1. Solve 4*h - 17*h = q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159027 = 4*g - 54881. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -22*i + 51*i - 28*i - 20, 5*p = -5*i + 40 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*c + 10*c + 19*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(((q**(-1\/2)*q)\/q)\/q))\/q*q**(-2\/3)*q)**45 assuming q is positive.\nAnswer: q**(255\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*q + 5*q + 7, 0 = -2*m + 4*q + 12. Suppose -3*g + 2*h = -76, g + m - 56 = -3*h. Is 28 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/(6\/12*-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10494724 is divided by 807286.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*-1*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 19647 = -1491. Suppose -7*g + n = 10*g. List the prime factors of g.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 884 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 336 - 333. Find the third derivative of -3*r - 549*r**2 - 41*r**6 + 686*r**2 + m*r + r**5 wrt r.\nAnswer: -4920*r**3 + 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 16 = 3*f, 4*f + f = -2*v - 14. List the prime factors of f + (1 - 2) + 31.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12121011 - 200221021?\nAnswer: -220112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z**3 + 3*z**2 + 8*z + 9. Let f(x) = -x**3 - x**2 + 1. Let p(r) = 5*f(r) - n(r). Let u be p(9). Solve 0 = -u*g - 2 - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c**2. Let u(i) = 6*i. Let y(x) = 0*x + 6*x - 11*x. Let q = -31 - -36. Let k(n) = q*y(n) + 4*u(n). Determine j(k(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 2*u**2 + 9*u - 1. Let f be h(-4). Let x = 37 - 110\/3. Let r be 3\/(-15) + (-152)\/40. Which is the closest to r? (a) 5 (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012044028 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8, 4, -10, -34, -68, -112?\n\"Answer: -5*v**2 + 11*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2728597162 to the nearest integer?\nAnswer: 1397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 30436*p - 183280. What is k(6)?\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 37 = -4*i. Is -2*3\/6*i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -821.25\nAnswer: -3285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f - 11 + 19 - 4*f + 2*f.\nAnswer: -7*f + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23490721.\nAnswer: 167, 140663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*m**2*y**4 - 1155*m**2*y**2 - 630*m**2 + 8*m + 6 wrt y.\nAnswer: -24*m**2*y**3 - 2310*m**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 2.1. Let y = -3 - j. Suppose -g = 3*l - 4*g - 3, -3*g - 7 = -2*l. Which is the closest to 0.1? (a) y (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 8:08 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -40*p + 363. Let s be l(9). What is the nearest to 71 in s, 4, 0.2, -1\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**3 + 381*g**2 - 5502*g - 5880 = 0. Calculate g.\nAnswer: -140, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/3 + 74*h**3\/3 - 24*h**2 = 0. Calculate h.\nAnswer: 0, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 14.08. Let z = -6.08 + l. What is the third smallest value in z, 2\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -3. Let b be o\/14 + 1584\/42. Is (b\/4)\/(7\/98) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 0.021 (c) 3\/746\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 4. Let g(l) = 2*l - 9. Let w(z) = -4*g(z) - 9*s(z). Let i(b) be the first derivative of 2*b**3\/3 - 1. Give w(i(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23180 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-14) - 951\/(-21). Suppose -3*g + a = -204. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 7 - 1. Let s(n) = n**2 - n - 10 + p*n - 6*n. Let o be s(8). Calculate the greatest common divisor of o and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2907 - 2926. Which is the biggest value? (a) y (b) 3\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -366.82 - -363. Let x = -0.28 + o. Let l = -1.1 - x. Which is smaller: -4 or l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mavmmvmmmpa. Give prob of sequence aa.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 12 = 4*h, -4*h = 134*s - 138*s + 24 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -5*b**4\/2 - b**3\/6 - 67*b - 1. Let y(q) = -5*q. Determine y(v(g)).\nAnswer: 150*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 705?\nAnswer: -709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335009 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/2 - 4 - -4. Suppose n*m + 129 = 7*m. Calculate the remainder when m is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**14*f*(f**(-11)*f)\/f*f assuming f is positive.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w + 30. Let v be q(-10). Suppose v*l = -41*l + 3417. List the prime factors of l.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4*d + 13, 0 = 2*v + 4*d - 0*d - 22. Let l = -5 + 7. Calculate the greatest common factor of v and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-23\/5))**14*y**(-34)\/y**(10\/11) assuming y is positive.\nAnswer: y**(2392\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2. Let c(d) = -6*d**2 - 129*d - 7*d**2 + 63*d + 66*d. What is c(p(w))?\nAnswer: -208*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4929690 + -4930108.0474. Let s = -418 - h. What is s rounded to three dps?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 14 = 3*v - 2*q, 11*v = -110*q + 55*q + 56*q - 137 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - (41 + 22) - 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1716 or -1715?\nAnswer: -1716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 75 + 123. Solve h - u = 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(880) - (sqrt(880) + sqrt(880) + sqrt(880)*2) - sqrt(880)) + sqrt(220)*-2)\/((5*sqrt(110)*-2 - sqrt(110))\/sqrt(10)).\nAnswer: 20*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 11:03 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**8\/5040 + v**7\/1680 - v**6\/720 - v**5\/60 + v**2. Let d(s) be the third derivative of c(s). Does 20 divide d(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 157017\/14*(-12 - 0). Is x\/(-66) + (-2)\/11 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 315 and 51?\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(-2\/3)*o**(-3)\/((o*o*o**(-4)*o)\/o) assuming o is positive.\nAnswer: o**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -878, -1285, -1974, -2945, -4198?\n\"Answer: -141*y**2 + 16*y - 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 12403414?\nAnswer: 12403411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (48 + -52)*(1 + -2)*2. Suppose -5*a + f*l = 3*l - 14070, -2*l = 4*a - 11286. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35050, -70558, -106064, -141568?\nAnswer: -177070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*s**2*z**2 + 134*s**2*z - 3238*z**2 wrt s.\nAnswer: 16*s*z**2 + 268*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**4 + 2*a**2 - a**2 - 4*a**4 + 182*a - 180*a + 12 as n*a**2 + d*a**3 + x*a**4 + t*a + f and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) + 1*sqrt(117)*1 + sqrt(117)))\/(sqrt(84)\/sqrt(7)))\/(sqrt(33)\/(sqrt(77)\/sqrt(7)) - (sqrt(3) + (-5*4*sqrt(3) - sqrt(3)))).\nAnswer: -sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, -0.4, 4\/7, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + a. Suppose -4*r + 5*l + 563 = 206, 4*r - 4*l - 356 = a. Calculate the greatest common divisor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -297 + -19208?\nAnswer: -19505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**4 + g**3 - 18*g - 71. Let x = -132 - -131. Let b(m) = -m**4 - m**3 + m - 1. Let t(u) = x*b(u) - h(u). Differentiate t(s) with respect to s.\nAnswer: -4*s**3 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, k: 13}. Give prob of sequence kttk.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 19 = -4*x - x, 2*f = -x + 1. Suppose -7*h + f*h + 8 = 0. Suppose 0 = n + 5, 0 = -h*r - 5*n - 0*n + 1733. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1036 + -1038. Let u(y) = 3*y**2 - 8*y - 16. Give u(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 252 or 2760\/11?\nAnswer: 252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/660 and (-571)\/144 + -3 + (-125)\/(-45).\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 7*b + 53 = -11*c, -5*c + 5*b + 55 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 135580?\nAnswer: 135584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -55. Factor 0 + 0*t + 2\/7*t**w + 2\/7*t**2.\nAnswer: 2*t**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.745 + 4.745. Which is the second smallest value? (a) -166 (b) -3\/8 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79.14 - -79.2. Let v = 9.1 + -9. Which is the closest to v? (a) -4 (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350*-1.6354.\nAnswer: -572.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwlmwjjwjj. What is prob of picking 1 j, 1 l, and 1 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2. Let q(z) be the second derivative of 13*z**4\/4 + z**2\/2 - 40*z. Determine m(q(x)).\nAnswer: 1521*x**4 + 78*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -20*n - 306. Let l be (-32 - -6 - -9)\/1. Let f be r(l). What is the third biggest value in 4, 1\/5, f, -2\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4*k = -7*k + 23, -35 = 5*v - 3*k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17c + -5?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 176 - 876\/5. Is o bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -829600 divided by -165920?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6265 + 14507 = 815*n + 1263 - 23176 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6 and 36\/121?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 58792 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1299204 and 1554696.\nAnswer: 371572344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184887.\nAnswer: 3, 20543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y - 16. Let b be g(4). Is b bigger than 2\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-135)\/18*-2*1\/15*19\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**5 + 31*x + 19*x**3 - 29*x - 9*x**3 - 7*x**2 wrt x.\nAnswer: -60*x**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5 - 28*v**4 - 42*v**3 + 172*v**2 + 136*v - 240 = 0. Calculate v.\nAnswer: -2, 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 - 13*s - 8. Determine o(-8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -596, -1348, -2366, -3626, -5104, -6776?\nAnswer: -8618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p - 61 = z, 0 = 2*z + 2. Suppose -8 = -4*o - p. What are the prime factors of (-9 - (-2 + o))\/(8\/(-84))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a + 9. Let i(y) = -9 + 0*y + 5*y - y + y. Let b(m) = 7*i(m) + 6*z(m). What is the derivative of b(g) wrt g?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1563 is divided by 48?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -17. Let f = 5 + u. Let d be 1290\/168 - 5 - (-33)\/(-77). Which is the second biggest value? (a) 2\/5 (b) d (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1817, 1790, 1763, 1736?\n\"Answer: -27*i + 1844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**8\/4 - c**5\/10 + 3*c**4\/4 - 8*c**3\/3 + 66*c - 3. What is the third derivative of b(q) wrt q?\nAnswer: 1680*q**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 7 = 2*q, q - 4 - 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 + 623\/8. Let q = 0.1 - -0.1. Let p be (3\/3)\/(2\/4). Which is the third smallest value? (a) q (b) p (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 4288?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 6)*(-1 - 2 - 2)*(-4*f**3 + 2*f**3 + f**3).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 45188, 45127, 45064, 44999?\n\"Answer: -n**2 - 58*n + 45247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/15 (b) 0.08 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1332 and 117660.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(36)*-4.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((0 - 1) + -270)\/(586\/(-29300))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(0\/2*1)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108435 by 5.\nAnswer: -21687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 31*x - 81. Let z be n(28). Let i be 27\/18*(-4)\/(-6). Let d be 0\/(-8) + z + i. Solve -r = j + 7, j + 26 = -d*r - 2*j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 635 - 635 - 2*d**2. Let m(l) = 17*l - 36. Let p(i) = 26*i - 57. Let x(b) = 8*m(b) - 5*p(b). What is x(r(u))?\nAnswer: -12*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -139, -158, -181, -208?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2610306618.\nAnswer: 2, 3, 435051103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 345 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2121102 (base 3) to base 5.\nAnswer: -30101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3 - 1. Suppose 7 + 3 = -l - 4*m, 0 = m + v. Suppose 20 = -2*d + l*d. Which is the third smallest value? (a) 0.2 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 65 + 40 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmwmmwmmwmmmmmm. Give prob of picking 1 w and 3 m.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 6*r**2 - 3*r - 6. Let a be h(5). Suppose -7*p = -a*p + 9. Let n be p\/(-36) - 2\/(-8). Is 1 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1376 (base 10) to base 5\nAnswer: -21001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-33)*s))\/(s\/(s**(-2\/15)*s)) assuming s is positive.\nAnswer: s**(-512\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f**2 - 19*f**2 + 34*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 4*j**2 + 6*j. Let y be 30\/8 - (-2)\/8. Suppose 5*g + 18 = y*i, 5*i - 7*g + 3*g - 18 = 0. Suppose -i*c + 2 = 12. Give h(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 0*a**3 + 0 + 1\/120*a**6 - 3*a**2 - 1\/15*a**5 + 0*a + 0*a**4. What is the third derivative of k(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 22 - 10*n - 111 + 33 + 18.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 558.7652 microseconds in nanoseconds?\nAnswer: 558765.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (2 - -13) - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, 613, 1864, 3673, 6022, 8893?\nAnswer: 12268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -258*t**2 + 1\/60*t**4 + 0*t**3 + 0*t - 1\/150*t**5 + 0. Factor k(b).\nAnswer: -2*b*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 0*z + 16\/3*z**6 + 0*z**5 + 69\/2*z**2 + 0*z**3 + 0*z**4 + 66. What is the second derivative of o(h) wrt h?\nAnswer: 640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5021*z + 2791672. Calculate b(-556).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1246444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 + 3*g**3 - 5*g**3 + (g**2 + 5*g**2 + 0*g**2)*(g - 2*g + 2*g))*(1 - 45 + 23).\nAnswer: -168*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/51595104 and 75\/8.\nAnswer: 51595104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 31724 = -2*h, 4*v = -0*h + 5*h - 79283. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/78*3 + (-45)\/(-39). Suppose 0 = m - 4*r + 5, m - 2*r + 2 = 3. Solve 0 = y - 4*p - m, -y - 4*p = 10 - l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*12\/384)\/(15\/7080).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4623\/2*b + 135\/2*b**2 + 4489\/2 - 1\/2*b**3 = 0?\nAnswer: 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 486505.\nAnswer: 486505.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 12. Let h = k + 12. Let y(n) = 29*n. What is the remainder when y(h) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, -3\/2, 52, -7, -4, -5\/2, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20311332 (base 4) to base 7.\nAnswer: 210414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2. Let d(a) = 17*a. Calculate s(d(w)).\nAnswer: 867*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1260 and 252.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 1a0a80?\nAnswer: 1a0a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y - 4 = -2*u - 37*y, y - 5 = -3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**4 - f**3 + 2*f - 14*f**2 + 14*f**2 - 3 in the form h*f**2 + s*f**3 + g*f**4 + j*f + z and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1074, -9, 5350, 17151, 37542?\nAnswer: 68671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 92*n + 1056. What is y(71)?\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 6) to base 11.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-5))\/(47*(-258)\/(-40420))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 8*q**3 + 14*q + 5 + 11*q**3 + (-5 + 5 + q)*(1 - 1 + 2*q**2) + 5 - 5 + 3*q**3 + 2*q**3 + 0*q**3 - 4*q**3.\nAnswer: 6*q**3 + 14*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 33313\nAnswer: -33313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -386, -386, -388, -392, -398?\n\"Answer: -g**2 + 3*g - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-273)\/39 + -3 + -72\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 306 = 12*u. Is 34 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1412 is divided by 95.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 4*b - 0*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.032 + -0.032. What is the closest to 2\/3 in -0.3, i, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(190) - sqrt(190))*-3 - sqrt(190)) + sqrt(190) + sqrt(190))\/sqrt(5))\/(sqrt(24)\/(sqrt(1200) - -2*sqrt(1200) - sqrt(12))) + 4.\nAnswer: 4 + 290*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1880\/3 - -627. Which is the third biggest value? (a) -2\/7 (b) i (c) -136\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76 - 90 + 14 - 1447*i to the form l + t*i and give t.\nAnswer: -1447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 83435, 83417, 83415, 83423, 83435, 83445, 83447?\n\"Answer: -i**3 + 14*i**2 - 53*i + 83475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 59*u**3\/3 - u**2\/2 + 2*u. Let f be j(1). Let a be (-108)\/(-8) + 1\/(-2). Calculate the greatest common factor of a and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-162)\/216*20\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 - 6*z**2 + z + 6. What are the prime factors of x(-5)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143 (base 6) in base 4?\nAnswer: 10113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 578518461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2290 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 10*n**2 - 4*n + 252. Let x(j) = -8*j**2 + j. Determine -t(p) - x(p).\nAnswer: -2*p**2 + 3*p - 252","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 301171.9 kilograms?\nAnswer: 301171900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 16. Calculate q(17).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-6 - (4 - 6)) + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1574, -4, 2616 in decreasing order.\nAnswer: 2616, 4, -4, -1574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-91)\/52*(-4 + 8). Which is greater: s or -34\/5?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -68*z + 63*z. Let d(n) = n**3 + 9*n**2 - 11*n - 7. Let m be d(z). Solve m*l + h + 17 = 0, -4*l - l + 5 = -5*h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -6*t. Solve 0 = f - 5*i + 25, 0 = f - i + 9 - t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 1. Let v(r) = 2*r**2 - 2*r + 2. Let g be v(3). Let n = g - 20. What is x(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6 = 8*c. Let h be (c + 2401)\/((-8)\/((-182000)\/15)). What is h rounded to the nearest 100000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 23. Suppose k*n = 3*s - 581, 2*s - 4*s = -5*n - 392. What are the prime factors of s?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**4)*y**6)**(-2\/109))**19 assuming y is positive.\nAnswer: y**(-380\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*j + 4 + 35*j + 2*j**2 + 27*j + 2 - 80*j to the form w + a*j + g*j**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30996 and 820.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 63 = 4*c, -c = 3*u - 16 - 21. Let v be (-14)\/(-21) + c\/3. Let m(n) = n**2 - n + 1. Let a be m(0). Calculate the highest common factor of a and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -6. Let v be -1 - (-8 + o\/(-1)). Calculate the highest common divisor of 42 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 + 31*r**2 - 13*r - 39. What is l(15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -105 divided by 987473\nAnswer: -105\/987473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(171) - (sqrt(171) + sqrt(171) + -2*sqrt(171))*2) + sqrt(171) + sqrt(171))\/(2*sqrt(324)))**2.\nAnswer: -2*sqrt(19) + 275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.197 + 57.403. Let y = -51 + s. What is y rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**3\/2 - 5002*g. Let j(a) = 21*a**2 - 25*a - 2. What is n(j(q))?\nAnswer: -63*q**2 + 75*q + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -28*z + 870. Let t be r(34). Is -75 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 13\/5, -0.2, 4\/13 in decreasing order.\nAnswer: 58, 13\/5, 4\/13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.6 and -18.\nAnswer: -46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000110000110100 (base 2) in base 3?\nAnswer: 22111000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1039\/280 - 1\/280. What is the nearest to c in 1, 0.1, 0.3, 3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 0 = -5*c + 1, -2*c = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17.6 * -30.82\nAnswer: -542.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*c**3*j**3 - 458*c**3*j + 30878*c**2*j**3 + c**2*j + 2*j**2 wrt c?\nAnswer: -48*j**3 - 2748*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7493621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*l - 3 + 2 + 4*l**3 + 0*l to the form i*l**3 + j + r*l**2 + f*l and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2924237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, t: 17}. What is prob of sequence tjt?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evvy when four letters picked without replacement from yeyyvvyeey.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 157275.\nAnswer: 314550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152054415 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4606 and 3016930.\nAnswer: 3016930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129064 = -22*m + 213806. Let q = m - 6258. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.2 + 12.3. Let w = 17.4 - y. Which is the third biggest value? (a) 0.2 (b) w (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*l**2 - 3*g**3*l + 201*g*l**4 + 35*g*l wrt l?\nAnswer: 4*g**3 + 2412*g*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388*a + 0*a**2 + a**2 + 1185*a.\nAnswer: a**2 + 797*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1461436524?\nAnswer: 2, 3, 131, 431, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 48*g**2 - 1359*g - 39. Determine y(20).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 19938258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*26\/169)\/(((-128)\/(-312))\/8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 10 + 7. What is the common denominator of 49\/4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35449 + -35358. Suppose 3*v = 4*f + 5*v - 1052, 2*f - 524 = -2*v. Let x be 2\/(-10) + f\/20. Calculate the greatest common factor of x and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5*-12*6\/(-216)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 12:03 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**2 - 4*p**2 - 4*p**2)*((0 + 0 + 3)*(15 - 9 + 12) - 1 + 3 - 4 + (0 - 4 + 5)*(1 - 3 + 3)).\nAnswer: -106*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, 10, 58, 148, 292, 502?\n\"Answer: 2*g**3 + 3*g**2 - 5*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 7:11 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26726 + 26726 + 581*h**2 to the form y*h + v + t*h**2 and give t.\nAnswer: 581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 11 = -1. Suppose 0 = -4*t - 3*y - 123, -1 + g = -y. Is 7 a factor of (11\/((-132)\/t))\/(2\/24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - -0.06. Let d = 8 - -1. Let p = -14 + d. Which is the closest to f? (a) -4 (b) p (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-16)*(-9360)\/1170.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -263 - -368. What is the highest common divisor of 15 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 5*j**2 + 2*j - 7. Let r be x(5). Suppose c + r*c = -2*i - 8, 6 = -2*c. Find the third derivative of 0*f**2 + 0*f**3 - 3*f**3 - f**i wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96*192.\nAnswer: -18432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5515012 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1693374 and -59\/18.\nAnswer: 5080122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.9142l in millilitres?\nAnswer: 127914.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -45 and 1293568758824.\nAnswer: 1293568758779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -z + 28, -4*i + 2*z = -16 - 18. Find the third derivative of 13*k**2 - k**2 + i*k**3 + 5*k**3 + 5*k**2 wrt k.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-6) - (-6)\/(-9). Calculate the common denominator of 3\/12*166 - k and 75\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464042 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 277\/165 + -2\/165. Which is the third biggest value? (a) 8\/5 (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92719 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1165204 and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25246 and 312?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 188834?\nAnswer: 3\/188834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19771 not equal to 19771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 + 47*m**2 + 248*m - 101. Determine c(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 133168 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 7 - 11 + 7*h**2 + (2*h**2 + 0*h**2 - h**2)*(1 - 4 + 5).\nAnswer: 6*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by 211.\nAnswer: -85\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + sqrt(432)*2 + sqrt(432) + 3 + -1 + sqrt(432)) + 4)**2*4.\nAnswer: 43008*sqrt(3) + 445504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 44.9. Let l = 7.25 - 7. Let b = l - 0.05. What is the nearest to 2\/7 in v, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(22\/9)*2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 3*n**2 - 2*n + 2. Let q be g(3). Does 9 divide (-1470)\/(-54) - q\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -80 - 5?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*5*6 - sqrt(84))\/((4*sqrt(12) + sqrt(12))*4).\nAnswer: 29*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32680 is divided by 10723.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160)\/(-3000)*-30*3\/((-24)\/190).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -83 + -1365641?\nAnswer: -1365714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 2*y - 5. Let k be t(-3). Let p = k + -2. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) -3 (c) -0.3 (d) 103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/242 - 5563\/726. Let r = 1281 + -6363\/5. Find the common denominator of u and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 184765*l**2 + 340660*l wrt l.\nAnswer: 369530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 12*b**3 + 2*b**2. Let h be r(2). Let l = -61 + h. What are the prime factors of l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 14*b - 70. Suppose 0 = b*i - 12*i + 140. Suppose 7*q = -0 + i. Solve -q = 3*y + y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 145*n**2 - 153*n - 29. Calculate j(146).\nAnswer: -1051","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 2:03 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3221410203 + -10?\nAnswer: 3221410143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - 6*w**2 - w**2)*(0 + 2 - 4) - 2*w**2 + w**2 + 3*w**2.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 147 - 317 = 0. Suppose -z + 2*c = -f, 5*c - 1130 = -12*z + 7*z. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -106*j**3 - 3*j + 3*j + 70*j**2 + 271*j**3 wrt j.\nAnswer: 990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -230185.5 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.69 + -2.69. Let y = 3434\/13 + -264. What is the smallest value in 5, y, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**4\/2 + 1784*h**3 - 74317*h**2\/2 - 144899*h - 51900 = 0.\nAnswer: -3, -2\/5, 25, 692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.758509l to millilitres.\nAnswer: 758.509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/4 and 91\/382.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312990 = 5*z - 5*u, 17*u = z + 22*u - 62592. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 10190911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = j - 8, 4 = 3*l + 7. What is the remainder when 289 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36265, 72545, 108813, 145057, 181265, 217425?\nAnswer: 253525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sagkksskgk. What is prob of sequence sk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752891 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 n, 1 z, and 1 m when four letters picked without replacement from cnciccnnzmz?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s - s**2 + 3*s**2 - 14*s + (3 - 3 + 2*s)*(3 - 3 + 2*s) to z*s**2 + x*s + m and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630541?\nAnswer: 53, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from tolhlootdotdto.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124\/18 + (-31297545)\/4727970.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-2)*(-10)\/(70\/(-7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2619697609 at least -2619697608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 2611 = 18*w. Is w a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1 - 3 - a - 3 + 9. Let q = 0 + 6. What is m(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23735, 47466, 71197?\n\"Answer: 23731*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/4)\/((-3)\/6). Is -51*(492\/k)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 1\/54490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 1\/6 (b) 2 (c) -26 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**5\/15 - 8*r**4\/9 - 32*r**3\/9 - 168*r. Factor c(h).\nAnswer: -4*h*(h + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q)**(-4\/19)*q\/q**(-7)*q*(q**2\/q)\/q*((q**(-1\/2)\/q)**(-1\/6))**(-5\/6) assuming q is positive.\nAnswer: q**(4201\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 2 = 2*t, -13 = 2*j - 3*j + 3*t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 15*p - 14. Suppose -4*b + 9*b = -35. Let z = 5 - b. What is the units digit of i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 792522 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16433 (base 9) to base 2.\nAnswer: 10110000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -295 + 154. What is h rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1. Suppose 4*d - 2*d + 10 = 0, -30 = 5*h + 3*d. What is the remainder when 58 is divided by 40\/(-6)*h + c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 116761 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 76.66 and 790.19436.\nAnswer: 866.85436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 0.3. Suppose 639 = 71*a - 66*a - 4*h, -174 = -a + 5*h. Is q <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 0*n + 0 + 1\/4*n**4 - 1\/60*n**5 + n**2 + 0*n**3. What is the second derivative of t(j) wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20950461 greater than or equal to -0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y + 189*y - 66*y + 33*y + 17 + 0 + 40*y.\nAnswer: 184*y + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.39602412 to three dps.\nAnswer: 1.396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5164 + 5171. Let x(q) be the first derivative of -9\/4*q**4 + 0*q**3 + 0*q - 2*q**2 - n. What is the second derivative of x(o) wrt o?\nAnswer: -54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bc + 9b3?\nAnswer: 8c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393*g + 391*g + 30 = 0. Suppose 17*j - 22 = g*j. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 3*h**2 + h**2)*(-8*h - h - 3*h).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 39*w - 305*w = 76*w + 52480 for w.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4276, 5, -1.5.\nAnswer: -1.5, -0.4, 5, 4276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqqqpqpmpqihppqiqhmq. What is prob of picking 2 m, 1 h, and 1 i?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -19. Let o = -4 - -2. Put -5, y, o in descending order.\nAnswer: y, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 9 + c + 9 - 1566*c**3 + 1565*c**3.\nAnswer: -c**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160092518 and 139992?\nAnswer: 1921110216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 266 (b) -1 (c) 0.5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3827100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-2\/3)))\/((q\/(q*q*q**7)*q)\/q))\/(q**(2\/3)*q*(q*q\/((q\/q**(-1\/9))\/q))\/q*q) assuming q is positive.\nAnswer: q**(46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/189772 and -29\/16?\nAnswer: 759088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g + 7. Let x(z) = -2*z + 6. Let s(a) = 4*d(a) - 5*x(a). Determine s(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtrqtqrrrqift. What is prob of sequence ifq?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2. Let y(q) = 3392*q**2. Calculate y(i(h)).\nAnswer: 30528*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*((sqrt(320) - sqrt(320)*2) + 1) - (sqrt(320) + 1 + -4 + 4 + sqrt(320) + 0))**2 + 3.\nAnswer: -23055 + 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 39*p + 278. Let x be o(-7). Suppose -31*n + 27*n = -5*m - 4206, x*m - 2088 = -2*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 10790 = -2*n, 0 = l - n - 4048 - 6745. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07462485 to four decimal places.\nAnswer: 0.0746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 28*z**2 + 10*z + 565. Let s be b(29). Let v(t) = t - 52. What is v(s)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -25 - 8\/(1 - 3). Is a bigger than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -9. Let t(k) = k**3 - 11*k**2 + 12*k - 15. Let v be t(n). Suppose -v*d = -0*d - 805. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-470 + 244 + 244 + k**2)*(1 + 1 - 1).\nAnswer: k**2 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4190*l**2 - 7641*l**2 + 4062*l**2.\nAnswer: 611*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/56762 and -69\/8?\nAnswer: 227048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 4, 0.3, 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9534851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -0.3. Let q = h - -0.3. Let a = 0 + q. Sort -2\/9, -4, a.\nAnswer: -4, -2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 72330901, 72330906, 72330911?\n\"Answer: 5*k + 72330896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 45?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 9147.21 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 20. Let h be 50\/20*j\/10. Suppose -2*i = 2*y + h*i - 290, i = 4*y - 580. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hq when two letters picked without replacement from hhqqmumdhom?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 26*b**2 - 166*b - 23. Calculate k(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 7*l**4\/3 + 1615*l**3 + 372141*l**2 + 28441413*l - 24652782 = 0?\nAnswer: -231, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110101000 - 1101111001?\nAnswer: 11000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 10 = 3*l, -2*i + 4*i + 4*l = 12. What is the second derivative of -v + i*v**3 + 19*v**3 - 203 - 33*v**3 - 48*v**3 wrt v?\nAnswer: -360*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 8*i + 2)*(i + i + 0*i) + 100*i - 4 - 7*i**2 - 100*i.\nAnswer: 9*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 1. Let q(f) = -f + 1. Let u(v) = -5*a(v) - 4*q(v). Let g(j) = -2*j + 10. Determine g(s) - 8*u(s).\nAnswer: 6*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + j + 1. Let m be b(1). Let q(u) = u**2 + u - 3. Determine q(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*n + 2*l, n - 2 - 10 = 2*l. Let b = -9 + n. Let o = -2\/211 + -179\/3376. Is b at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*d - 20, -41*d = -p - 42*d + 5. Solve 0 = p*h + 2*u - 6, h + 4*u = -2*h + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*d - 61, 19*p = 15*p - 5*d + 67. What is the remainder when 72 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -820*u**3 - 785*u**3 + 2339*u**3 + u - 785*u**3 - u.\nAnswer: -51*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/20*((-5)\/(-15) + ((-43212)\/(-180))\/13).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.016 - -0.094. Let n = -1.7 - -2.2. What is the closest to -1 in f, 0.3, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -20\/9, 0.6, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 8, 115 = l - 0*l + 5*i. Let p = 176 - l. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r**(-2\/25))*(r**(-6)\/r*r)\/r*r**(-13)*r*r*(r\/(r\/r**(-9)))\/r assuming r is positive.\nAnswer: r**(-698\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 115237210 or 115237208?\nAnswer: 115237208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**4 + 2*b**4 + 2*b**4)*(-13 + 25 - 14).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4124 or -4123?\nAnswer: -4123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 713 - 434. Suppose 4*x - v - 777 = 0. Is 33 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1753724962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(833) + -2 + -4 - -4*(-1 + -2*sqrt(833))) + 4)*-4.\nAnswer: 32 + 196*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.243 times -3.8?\nAnswer: 12.3234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*y - 288 = 8*y. Solve -6*s = -4*s - 5*i - 7, -13 = s + y*i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 24?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (4 - (-1 - -148)). Let j = 240 + a. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 10*h. Let r be (150\/(-5))\/(2\/(-3)). Suppose 8 = -32*l + 36*l. Let o(x) = -220*x. Determine l*o(y) + r*z(y).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/3*21 + -1. Let x = q + 28. Let o = x - -2. What is the remainder when o is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-75)\/(-63))\/5)\/(22\/(-198))?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p + 3. Let r = -10 + 5. Let m(x) = -x**3 - 12*x**2 - 3. Let t be m(-12). Let a(w) = 7*w - 5. Give r*o(z) + t*a(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 3. Let s = 1 + t. Let k be (-6)\/15*15\/(-27). Which is smaller: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26\/2637507 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 8702827 and -132021.4.\nAnswer: 8570805.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((2*sqrt(245) - sqrt(245)) + -4)**2 + (1 + sqrt(245))*-5 - (-5*(sqrt(245)*4)**2 + -5))*-2.\nAnswer: -39726 + 182*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9338*d**3 + 1854*d**3 + 1936*d**3 + 1855*d**3 + 1834*d**3 + 1858*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-96)*(-1)\/(18\/(-396)).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1751, -3467, -5177, -6881?\nAnswer: -8579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 5*w + 4. Let o(x) = -7 + 6 - 5*x - x**2 - 2 + 11. Let i be o(-7). Let j be 2\/i + 13\/3. What is v(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -3, -189, -448.\nAnswer: -448, -189, -4, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00210975 rounded to 5 dps?\nAnswer: 0.00211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 3*b - 7. Let y be o(-5). Let j(r) = -2*r - y - 2 - 3*r. Calculate the remainder when 49 is divided by j(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r - 9 - 271 = 0. Solve 0 = -4*u + 3*g - 14, r = -5*u - 0*u + 2*g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 6dcad4?\nAnswer: 6dcad4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/191 + -364\/1719. Let j(p) = p**3 + 5*p**2 + p + 2. Let u be j(-5). Let b = 3 + u. Which is bigger: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31157494?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45060468 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -364 + 394. Calculate the highest common factor of 45 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -638 and 17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 - 96.2. What is w rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-26)\/(-429))\/(2\/9). Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5589167 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 205 - 2161\/10. Let k = -17425\/3707 + -9\/337. What is the common denominator of v and k?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + 0. Let n be ((-336)\/9)\/(2\/y). Round n to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z = 50. Calculate the remainder when z is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 7. Let x(d) = -3*d - 1. Let y(t) = -10*t - 4. Let z(c) = v*y(c) - 7*x(c). Suppose -12 - 8 = -5*g. Give z(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1))**(-3\/23)\/(v**(-4\/7)\/v*v**(2\/11)))**9)**(-47) assuming v is positive.\nAnswer: v**(-1138716\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17701 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: Expand (-4*l**2 + l**2 + 4 + l**2)*(6 - 2 - 16).\nAnswer: 24*l**2 - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5103914*-0.5\nAnswer: -2551957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4392, -1 in decreasing order.\nAnswer: 4392, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*i**3 - i + 10*i**2 - 10*i**2.\nAnswer: 65*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/55*15\/(-18)*(5544\/(-60))\/21.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -9. Let c be (-2)\/1 - (28 - (j + 2)). What is the third biggest value in 1\/2, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 8) in base 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**2. Let b(c) = 10746*c. What is u(b(z))?\nAnswer: -461906064*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -924*f = -697*f - 7945 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -4 + 14 + 2 - -11 - -25?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) 22.96 (b) -3\/4 (c) -0.4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 208 + 2006 = -3*f, -3*c - 9 = 0. Let x = f - -763. Calculate the greatest common factor of x and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76 + 78. Suppose -5*r + 4 = t*f - 21, -2*f - 15 = -3*r. Sort 3, -7, f in ascending order.\nAnswer: -7, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 157*q**3 + 3 + q**2 - 156*q**3 + 6*q**2 + 6*q. Determine n(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1486*c**2 - 3. Let g(p) = 35*p - 1. Calculate g(d(a)).\nAnswer: -52010*a**2 - 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/638812 and 38\/1117921.\nAnswer: 4471684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 382776 and -4?\nAnswer: -1531104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 - 2*n - 3. Calculate t(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*sqrt(52)\/sqrt(4)*4 + 3.\nAnswer: 6 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 155*c - 157. Calculate m(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**8\/n*(n**(-5)\/n*n)\/n*n*(n\/(n**(-2\/7)*n))**10)\/((n*n**0)**(-20\/3)\/(n*n*n*n**(-2))**(-15)) assuming n is positive.\nAnswer: n**(-52\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(1*sqrt(1088) + 4 + -2*sqrt(1088)*2) + 0)*5)**2 + -3.\nAnswer: -4800*sqrt(17) + 245197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(5)*2 + sqrt(320) + 1.\nAnswer: 1 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 3149*c - 3125*c. Solve -v + 2*o = 6, c*o = 20*v - 16*v + 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**2 - 11*v - 6. Let u(r) = 3*r**2 + 10*r + 7. Let w(j) = 2*n(j) + 3*u(j). Let y = 11309 - 11315. Determine w(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 7. Let g be v(13). List the prime factors of -170*(1 + 9\/g)*2.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5 - 123*r**4 - 419630*r**3 - 1048540*r**2 - 838692*r - 209657 = 0 for r.\nAnswer: -427, -1, -1\/2, 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10557, -21134, -31711, -42288, -52865?\n\"Answer: -10577*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, s: 2, l: 3}. Give prob of sequence cll.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (3 + 4 - -1 - -7).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = l - 5*i, 4 = -l + 2*i - i. Suppose 5*h + 4*k = 0, h - 4*h - 2*k = -2. Suppose -c - 115 = -5*t + 2*c, -h*c - 100 = -4*t. Solve 4*f + l = -t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + z - 16. Let k = 11.4 - 1.4. Let m = k - 15. What is the biggest value in z, 1\/3, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 1\/5*p**4 - 28\/15*p**3 + 32\/5*p**2 + 34 - 48\/5*p. Factor s(f).\nAnswer: 4*(f - 3)*(f - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*k + 2204020 = 50*k + 5*v, 5*k + 5*v - 11020020 = 0. What is k rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 31. Let i = a + 14. Let p(t) = t**2 - 7*t + 2. Let q be p(5). Put -1, i, q in descending order.\nAnswer: -1, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2547 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3 = 2*b. Let f = 202 + -167. Suppose 0 = -16*t - 3 + f. Which is smaller: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**7\/70 + 3*d**6\/40 + 3*d**5\/20 + d**4\/8 + 8*d**2. Factor v(o).\nAnswer: 3*o*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s + 1. Let v(j) = 3*j. Let w(z) = -2*z**2 + 17*z - 30. Let k be w(5). What is k*v(d) + 4*x(d)?\nAnswer: 3*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1132 and 14?\nAnswer: 7924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 1080*w - 1355*w.\nAnswer: -2435*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(19) + 2 + (((sqrt(209) + 2*sqrt(209) - sqrt(209)) + sqrt(209) - sqrt(209)) + sqrt(209))\/sqrt(11) + 5*5*-2*sqrt(19).\nAnswer: -46*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -p - 14, -51*p + 12 = -53*p - 2*q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/444480 and -139\/2933568?\nAnswer: 14667840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (44 - 2 + 15)*(-10 + 10 - 8*x) + 2*x + 4*x - 4*x + (2*x - 2 + 2)*(2 - 4 + 3) - 4*x + 2*x + 4*x + 2*x + 1 - 1 in the form f*x + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2\/7 - 3*r + 132\/7 = 0. Calculate r.\nAnswer: -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.6 - -4.5. What is the closest to -1 in 1\/2, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -5. Let l = -2 + 12. Let s = k - l. Solve -3*h = -9, -2*h - 3*h = s*f - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 4*b**2 - 4*b - 6. Let y be (4\/3)\/((-6)\/18). Let v be r(y). Let t be ((-1)\/v)\/((-1)\/(-2)). Put t, -0.3, 3 in descending order.\nAnswer: 3, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 0*h + h)*(2795 - 394 + 4274) to i*h + p and give i.\nAnswer: 6675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 + 64. Let y(h) = -t*h**2 - 13 + 5 + 8. Let x(v) = 32*v. Calculate x(y(b)).\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -w + 6*w. Let p(b) = -2*b**2 - 2*b - 2. Let n(o) = -o**2 - 3*o - 1. Let j(q) = w*n(q) - 2*p(q). Let f = -1142 + 1147. What is j(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 4*t + 4*m - 274, 5*m = 20. Let p = 596 + -594. Suppose 5*i = -3*g + 231, 0*i + i = p*g + t. Calculate the greatest common divisor of i and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14574 (base 9) to base 16.\nAnswer: 26dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 219, 317, 399, 459, 491, 489, 447?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/7 of a week in minutes?\nAnswer: 92160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -l + 4*l - 5*v, 2*l + v = 7. What is the common denominator of l\/(-15) - 879\/(-120) and -86*1\/3*8\/(-48)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-25)*415\/996.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 43319744 and -3877344.\nAnswer: 39442400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 460449460848?\nAnswer: 460449460849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + sqrt(45)*-3.\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 310, 309, 308, 307?\n\"Answer: -u + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 121*g - 107. Let r(s) = 26*s + 15*s - 39*s. Let c(k) = o(k) - 3*r(k). What is the derivative of c(w) wrt w?\nAnswer: 115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 26*z - 29*z. Solve z*c + 5*n = 36, 2*c - n - 20 = -4*n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18, -23, -30, -39, -50, -63?\n\"Answer: -z**2 - 2*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -189 + 194. Solve 8 = i*d - d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45028?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 + 2*o + 70 - 33 - 2*o**4 - 34 to the form g*o + y*o**2 + c + n*o**3 + b*o**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmhmmmmhmmmmm. What is prob of picking 3 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0)\/(3\/105*1). Let z = -32 + w. Let v(g) = -7*g + 3*g + g**2 - 2*g**2 - 5 + z. Determine v(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3013 + 43?\nAnswer: 3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(170)*-1*-4 + sqrt(170))*-5)\/((2*sqrt(20)\/sqrt(2) - (sqrt(70)*-2)\/sqrt(7))*1).\nAnswer: -25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttttittttttttttt?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 10:42 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496*f = -485*f - 44 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -3, 0.4, 5418?\nAnswer: 5418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 12. Let b = c - -39. Let o = -40 + b. Sort o, -2\/7, -3.\nAnswer: -3, o, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1672.6846 rounded to 1 dp?\nAnswer: -1672.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a millennium in decades?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3547a2 + 9b?\nAnswer: 354881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = p - 339, -3*p + 4*p = -5*g + 343. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 + -0.44. Suppose g = -2*g + 45. Let m be ((-2)\/35)\/((-3)\/g). Which is the second smallest value? (a) d (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y**5 - 140008*y**4 + 365380*y**3 + 8574152*y**2 + 17368240*y + 5602400 = 0. What is y?\nAnswer: -7003, -5, -2, -2\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5 = 4, -5*f - 4*d = -6. Let v = 1\/12 + 5\/12. Factor 0 + o + v*o**f.\nAnswer: o*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 24) + 7 + -12.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 4*w**2 - 3*w - 1. Let m be 1*-2*(-6)\/4. Let g be d(m). Sort -2, g, 1 in descending order.\nAnswer: 1, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.4 + -4. What is the nearest to 2\/9 in 2\/13, z, -9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -631 divided by 18178?\nAnswer: -631\/18178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = h - 56, 2*h - 84 = -3*b - b. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 - 2 - 29)*(10*f + f + 9*f)*(11 - 6 + 9) in the form o*f + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2452*t = 4703*t - 310615 + 41138 - 124048 for t.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 30*s**2 + 7*s + 43. Is a(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*h + 44 - 44)*(-1624 - 453 + 3133) as j*h + y and give j.\nAnswer: -16896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r + 219. Let g be p(37). Sort -2, g, -33, 1 in descending order.\nAnswer: 1, -2, g, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 131? (a) 5 (b) 9 (c) 12\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -4\/5, -7?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15890 - 2*z - 15890.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*m - 3*m = -579, m - 393 = 2*z. Let y = z + 434. Calculate the common denominator of y\/(-12) - 33\/(-44) and -101\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*q**3 + 121*q - 121*q)*(3*q - q + 4*q).\nAnswer: 354*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 5:31 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -2\/51, 0.38, -3\/7, -1\/6, -8\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -249 (base 11) to base 4\nAnswer: -10213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/4)*n**(-25)\/n)\/(((n\/(n\/(n*n\/(n\/n**(4\/7)))))\/n)\/n**(9\/4)))**(-27) assuming n is positive.\nAnswer: n**(4455\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 104654 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*w + 2. Let b(d) = 2*d**2 - 30*d - 14. Let l be b(w). Solve 24 = -6*y + l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, q: 7, n: 4}. Give prob of picking 2 w and 1 q.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 416 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128006423123883 - 0.6.\nAnswer: -128006423123883.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22702 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-6)**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**3 + 67*u**2 - 126*u - 5244. Give y(-33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 4*v**2 + 2. Let f be z(4). Let u = 97 + -139. Let r = u + 44. Solve -f*y = 5*t + r*y + 7, 3*t = -4*y - 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5522.7 or 4\/973?\nAnswer: 4\/973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-11)*a**(-9)*a)\/(a**18\/(a*a**(-7))))**(-28) assuming a is positive.\nAnswer: a**560","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 915*g - 18288. Give o(20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67083.36ml in litres?\nAnswer: 67.08336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34069121 + 0.1?\nAnswer: -34069120.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(88\/(-48)) + 390\/11. Let b be 0 + -46*(4 + k\/(-8)). Calculate the highest common factor of 115 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 25 = 10*j - 5*j, -4*j + 19*q + 20 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8610000 rounded to the nearest one hundred thousand?\nAnswer: -8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + w - 1. Let q(m) = m**2 - 12 + 9 + 1 + 2*m. Let o(b) = 6*a(b) - 5*q(b). Let h(f) = -f**2 + 6*f + 4. Let k be h(6). Determine o(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**4\/8 - l**2. Let t(i) be the first derivative of 3*i**3 + 5416. Calculate t(k(a)).\nAnswer: 81*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c - 4. Suppose 2*k + 0*k - 10 = 0. Let f be i(k). Suppose -f = -4*a + o, -3*a - 2*o = -0*o - 1. Solve -3*l = v + a, 5*l - 4*l - 2*v = -1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, e: 1, t: 2, c: 4, s: 1}. What is prob of picking 1 c and 1 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 110604761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2. Let p(z) = -146*z - 145*z + 440*z - 22 - 147*z. What is p(w(f))?\nAnswer: 6*f**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3906 + -3908. Let g = -9 + 13. Sort -1\/15, g, w.\nAnswer: w, -1\/15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 - 33*i - 134. Calculate f(-13).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*n - 9. Suppose 0 = -n*w + 4*w. Does 3 divide (-8)\/(-5)*(w - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1362*i + 9 = 1363*i + 5*u, 2*i - 2*u = -18 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -23. Suppose -3 = -3*g + 12, j = t + 3*g. Solve 0*l + 6 = 3*l + 3*w, t*w = -3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 586316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-5 + 6 + 0 - 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18282*d**4*k**3 - d**4*k + 277*k**3 - 2611 wrt d?\nAnswer: 73128*d**3*k**3 - 4*d**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9069 - 5444. What are the prime factors of p?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 - 224 + 37 - 3*t**2 + 52.\nAnswer: -5*t**2 - 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = m - 3*m + 25350, m = -4*z - 20267. Let a = z + 45664\/9. Calculate the common denominator of (-110)\/(-8)*8\/18 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - 2*j**3 - 4*j**2)*(0*j**2 + 0*j**2 + j**2 + (10*j + j + 7*j)*(3*j + 2*j - 3*j)).\nAnswer: -74*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5509611*f - 4439230 wrt f?\nAnswer: -5509611","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 329279*r*v*y**3 + 7*r*v + 39*v*y**3 - 9718*v*y**2 wrt r?\nAnswer: 329279*v*y**3 + 7*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240534)\/(-882) - 273 - (-127)\/(-70).\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 18*s**2 + 13*s - 19. Let j(d) = 6*d**3 - 92*d**2 + 64*d - 97. Let z(c) = -11*f(c) + 2*j(c). Give z(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 17. Suppose -v + g = 1. Suppose 260 = 5*i + v*x, 0*x - 5 = x. What is the remainder when i is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. What are the prime factors of 10 + ((-2)\/z - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10863 + 1786. What is w rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/16*10\/(-60)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -4, 0, -0.3, -1637, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, z: 1, i: 5, j: 1, o: 2}. Give prob of picking 2 i.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - u**3 - u**5 + (-u + 0 + 0)*(-u**4 + 25*u**4 + 15*u**4).\nAnswer: -40*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 835624 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 435 divide 589860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 4. Let p(t) = 8*t - 9. Let s be p(3). Suppose 2*a + s = -3*a. Give w(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-4))\/(-4 - 260\/(-64)). Suppose -5*g = -g - u. Suppose -g*w = -8*w - 35. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11399 in 1\/8, -2\/3, -18.8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -192824 and -1.\nAnswer: 192824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 108305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 418 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -20 + 0*u + 12 + 7*u - 34. What is the hundreds digit of m(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17452?\nAnswer: 2, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 3*a - 115 = 60*k - 56*k, -2*a - 3*k - 82 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21.49 - 22. Let b = -7.3 - -8.81. Let h = j + b. What is the nearest to 1 in 4, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22002520483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 42.7 and 0.2589.\nAnswer: 42.9589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(275) - (-1*sqrt(275))**2) - sqrt(275)) + ((sqrt(275) + sqrt(275)*2 + sqrt(275))**2 + sqrt(275))*-6.\nAnswer: -26680 - 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3564, -7124, -10682, -14238, -17792, -21344?\n\"Answer: j**2 - 3563*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -60880 at least as big as -60878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + sqrt(539)*-1*-5)*-6*-6 + ((sqrt(704) + sqrt(704)*1 + 4)**2 - (sqrt(704) + (sqrt(704)*-2*1 - sqrt(704)))**2).\nAnswer: 16 + 1640*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4669 - -4671. Solve 3*g = -d*h - 8, 2*g + 5*h + 5 = 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7021943*i - 31390. Let x(t) = 3132*t - 14. Give -7*g(h) + 15695*x(h).\nAnswer: 3139*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*k + 27*k - 5 + 18*k)*(3 - 1 + 1 + (3 + 0 - 1)*(-1 + 2 + 0)).\nAnswer: 150*k - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 459980, 459977, 459972, 459965, 459956, 459945?\n\"Answer: -m**2 + 459981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 - -47. Let w be 0 + (-6)\/p - 1\/(-2). Suppose 3*t = w + 26. What is the highest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a3 (base 16) in base 15?\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1735, -1743, -1751?\nAnswer: -1759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -23*d**2 + 1568*d + 614656. Let z(c) = 29*c**2 - 1568*c - 614656. Let v(p) = -5*i(p) - 4*z(p). Find o, given that v(o) = 0.\nAnswer: -784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 49*u**2 + 140*u + 94. Let b be z(-46). Let v(s) = 3*s**2 + s - 3. What is v(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -776614.178 and -2.\nAnswer: 1553228.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -79, -70, 99, 512, 1253, 2406?\n\"Answer: 14*y**3 - 4*y**2 - 77*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s + 5. Determine g(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 2. Let s(x) = x**2 + 613 - 613 - x. Let q(o) = 2*o**2 - 6*o + 2. Let z(y) = c*s(y) - q(y). Calculate z(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 17*(-13)\/231. Let l = 8\/33 + a. Is l < -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 5 (c) -4 (d) -17\/42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 18 and 2230\/123 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150384 + -62202. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1763, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38860164 and 90?\nAnswer: 194300820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2752 = -2*z, 28*t - 4117 = -3*z + 23*t. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 2*l**2 + l - 4. Let x be s(-3). What is the second derivative of -m**x + 4*m - m + 0*m wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.065 and -0.1026.\nAnswer: 0.109269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 1635180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298 + 99 + 103 + 103 - 9*m.\nAnswer: -9*m + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 1\/3 (b) -1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 2 = -5*a - 12, -5*n - 55*a + 52*a = -28 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 177 (c) -4 (d) 6\/5 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 0.2, -3, 6, 3, -0.034, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/17, 5, 1\/4 in descending order.\nAnswer: 5, 1\/4, 2\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39805114 and 76.\nAnswer: 79610228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -252290860 to the nearest 1000000.\nAnswer: -252000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 2488*j**2 + 4 - 1244*j**2 - 1228*j**2 + 14.\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 4:32 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**4\/24 - 23*k**3\/4 + 395*k**2\/2 + 71*k - 25. Solve m(u) = 0 for u.\nAnswer: -79, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 23, 3, -17, -37, -57?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78.4, 582, -0.1 in decreasing order.\nAnswer: 582, 78.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, q: 2, a: 5, z: 2}. Give prob of picking 1 a and 2 q.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4570450 and 24055.\nAnswer: 4570450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117191 = -1187*d - 1584*d + 46298 for d.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 4*c - 2*c)*(24*c**2 - c**4 + 0*c**4 - 9*c**2).\nAnswer: 2*c**5 - 30*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 1. Calculate u(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - -12 - -19 - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -385.1510022 and 3059.\nAnswer: 2673.8489978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sal when three letters picked without replacement from {p: 2, l: 4, s: 1, a: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 1. Let a(t) = 13*t + 73. Let q(x) = -a(x) + 6*y(x). Let i(u) = 210*u + 735. Let p(z) = -4*i(z) - 45*q(z). Differentiate p(s) with respect to s.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -659*q**2 + 2*q - 3. Let h be w(1). What is h rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 43, 70, 129, 232, 391, 618, 925?\nAnswer: 1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -3b714?\nAnswer: -3b713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148 minus -645.89?\nAnswer: 1793.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 36*j**2 - 448*j.\nAnswer: 4*j*(j - 7)*(j + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 319446 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1142311 (base 6) to base 10\nAnswer: 60163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + q = 9, 4*q + q = h + 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -1\/3 (c) 1\/13 (d) -340 (e) -152\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s - 3*s - s - 13*s in the form z + r*s and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*q + 3448 = 0, 2*b - 3448 = -14*q + 18*q. What are the prime factors of b?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + w + w = -7, -w + 205 = 204 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*f**3 + 5*f**2 + 5 wrt f.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -239 - -234. Let y be ((-2)\/6)\/(s\/225). What is the greatest common factor of 75 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x - 38. Let a be f(20). Suppose 0 = -3*h - a + 20. Suppose -10*g**2 + h*g**2 - 2*g + 6*g**2 = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-6)*l*l)\/(l**(2\/9)\/l))**(-40))**(-12\/11) assuming l is positive.\nAnswer: l**(-3200\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b - 5*b + 9 + 3*b. Let o(c) be the third derivative of -c**4\/24 + c**3\/3 + 2*c**2. Give -4*f(h) + 18*o(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 10*z**2 + 3. Let m(v) be the third derivative of 7*v**4\/24 + 3037*v**2. Calculate f(m(d)).\nAnswer: 490*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b52 (base 15) to base 12.\nAnswer: -13195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/8, 19, 10, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h\/(h**(-1)\/h)*h*h)\/h)\/(h*(h\/h**31*h)\/h))**(-39))**(-1\/7) assuming h is positive.\nAnswer: h**(1326\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*sqrt(7) - sqrt(7))**2 + sqrt(7) + -5*sqrt(21)\/sqrt(3))*1 - ((-3*sqrt(84) + sqrt(84))*-3)\/((sqrt(12) - sqrt(48))*-2).\nAnswer: -7*sqrt(7) + 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 13*b**3 - 2*b + 1. Let z be j(1). Suppose -4*f = -2*m, -9*m - f - z = -8*m. Sort -4, m, -2 in decreasing order.\nAnswer: -2, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -85, -190, -315, -460, -625?\n\"Answer: -10*t**2 - 75*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 2\/11 (c) 0.34 (d) 4 (e) -26\/15 (f) 0.2 (g) -29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19279383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*b + 0 - 2 + 3 + 41*b + 39*b as f*b + r and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61474 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 130\/15 - (-2)\/(-3). Calculate the greatest common divisor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifteen quarters of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38664 - 38663.9. Which is the fifth biggest value? (a) 6 (b) 1\/12 (c) 1 (d) q (e) 2\/57\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20976 and 7682.\nAnswer: 3502992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6186 - 6442 = -128*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 10771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 5*l - l + 3*h, l - 2*h = 28. Suppose 0 = t + 4*t - l. Let n = 21 + -13. What is the lowest common multiple of t and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590 = -75*o + 10. Solve o*s - 3*s = 5*d + 15, -5*d = -s + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 42*i + 457. Give q(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -24. Suppose 2*b = -4, -b + 3 = k - j*b. Let l = 18 - 8. Sort k, l, -1, -5 in increasing order.\nAnswer: -5, -1, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 9*y + 6. Suppose 6*c - c - 5*i = 470, 4*i - 261 = -y*c. What is the highest common divisor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(28)*-6 + sqrt(224)\/sqrt(8)*2)\/((sqrt(64)\/(-2*sqrt(4) - sqrt(4)) - sqrt(16)) + sqrt(16) + sqrt(16) + sqrt(16) + 6*sqrt(64)\/sqrt(4)))**2.\nAnswer: 16128\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19083275 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140 + 870. Suppose 2*l - m = -3*l. What is the tens digit of l\/12 - (-4)\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -375*w**5 + 582*w**3 + 195. What is the third derivative of m(c) wrt c?\nAnswer: -45000*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5\/3 (b) -5 (c) -14.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-636)\/53)\/(6\/(-3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(832) - sqrt(832)*-1) + 3 - -2*(1 + sqrt(832))*1) + 1)**2.\nAnswer: 384*sqrt(13) + 13348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/45 + (-470)\/(-150). Solve 4*r - c*j = -4, -3*r - 37 + 9 = 4*j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*m*n + 3*b*m - 2*b*n - 7*b + 1341*m*n + 2099*m - n wrt n.\nAnswer: 2*b*m - 2*b + 1341*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3638355?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.8 + -6. What is the nearest to 0.1 in 2, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 5*a**2 + 134180*a + 28749600 = 0.\nAnswer: -26620, -216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -4, 20 in increasing order.\nAnswer: -4, -2, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a3 (base 13) to base 10.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 40*n - 1. Let q(o) = -7*o + 6. Let d(a) = -2*a + 1. Let v(c) = 4*d(c) - q(c). Let y(g) = -s(g) + 3*v(g). Differentiate y(j) wrt j.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z - 1. Let v(y) = y - 5. Let i(m) = -m + 1. Let r(k) = -5*i(k) - v(k). Determine -7*r(g) - 3*x(g).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = d + 12. Let w be 110\/33 - 2\/6. Solve 0 = 5*k + w*n + 12, d + 4 = 5*k - 2*n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*y + 15 = 0, 4*y - 24 = -4*s - 0*s. Suppose -3 = 2*u - s*u. Find the common denominator of (-2)\/u + 20\/24 and -61\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(40\/32) + -2 + 8. Suppose -n = 2*n. Suppose -3*x = -n + 3. Put x, -2, g in decreasing order.\nAnswer: g, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96441 less than 3318078?\nAnswer: 3221637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/60)\/((-22)\/33)*(-21)\/(-294).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 359 - 270. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -6)\/((-8)\/(-48)). Suppose 4*j = 170 - t. Suppose j = 4*d - 5*v, -d + 0*v = -2*v - 11. Sort 4, -1, d in ascending order.\nAnswer: -1, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 2\/21, 0.3, -2.322, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/11 (b) 697 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + u + 6. Let r be x(0). Suppose -o + 0*o = -5*c - 22, -3*c = -3*o + 18. Solve i - r = -o*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 253*n + 740. Calculate g(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 396, 380, 362, 342, 320?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1283.\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18549518 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 10*p - 65. Let u(k) = -5*k + 33. Let z(r) = 5*u(r) + 3*w(r). Let v be z(7). Suppose -v*i = i - 282. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*r**2 + 2*r**2 + 0*r**2)*(-44*r**2 - 120 + 120) - r**4 - 3*r**4 + 2*r**4 + (r**4 - r**4 - 2*r**4)*(-1 + 1 + 1) - r**4 + 2*r - 2*r.\nAnswer: 611*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrnrbbbbrrvbrr. Give prob of sequence vr.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 - 83 = 3*w. Let o be 42\/(-4)*w\/(-7). Is 16 a factor of o\/(-5) + (-8)\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001120021 (base 3) in base 5?\nAnswer: 2244012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -3, -2, -0.3, -6\/7, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*r - 4*b, 2 = -2*r - b - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2345 - 2197. Solve z*k + 25 = 153*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**8\/28 - u**7\/70 - u**6\/5 + u**5\/10 + u**4\/2 - u**3\/2 - 7*u**2. Determine q, given that b(q) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(36)\/(sqrt(1728) + sqrt(12)) + -2 + (sqrt(3) + -2)**2.\nAnswer: -51*sqrt(3)\/13 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107039, 214089, 321143, 428201, 535263, 642329, 749399?\nAnswer: 856473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1251*m**2 - 322765*m - 1802. Determine v(-258).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10221201 (base 6) to base 16\nAnswer: 48d81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -213 > -2340\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -115, -235, -355, -475?\n\"Answer: -120*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 3, a: 3, k: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5888\/8301 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4678102 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 2:19 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-926)\/(-18))\/((-123)\/1845) - 6. Do -779 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2053301 + -5.\nAnswer: -2053306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1008\/3360)\/((-12)\/(-16))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 11*o - 1 + 13*o)*(-3*o + o**3 + o**3 + 6*o) as m*o**3 + j + x*o**4 + l*o**2 + q*o and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3\/120*4*(-20 - 96\/(-12))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from gnohojgnnnnojogno?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*u - 4*t - 5 = 209*u, -5*t = 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13918*g**2 - 167021*g + 60 = 0. Calculate g.\nAnswer: 5\/13918, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 235 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 215725960 rounded to the nearest one hundred thousand?\nAnswer: 215700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(1\/1)*3. Let f = 2 + w. Let j(v) = 3*v**3. Let x be j(f). Sort 2, x, 3 in increasing order.\nAnswer: x, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (4 - -3) + -1 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23816.\nAnswer: 2, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 < 88442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1300097376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1761.441 tonnes in micrograms?\nAnswer: 1761441000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -471 - -955. Suppose -h + 45 + 114 = 4*z, -3*h - 5*z + d = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.94 + -0.06. Let z = m + 1.6. Let k = -0.06153 - 8.93847. Put 0.1, 1\/3, z, k in ascending order.\nAnswer: k, z, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1208.3254 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 506309, 1012566, 1518823, 2025080, 2531337?\n\"Answer: 506257*z + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*r = 2*j - 1296, -2*r - 4 = 0. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -24 + 37 - -51?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 409.2*1.\nAnswer: 409.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 30*n**2 + 101*n + 63. What is c(-33)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 1694*b**3 + b.\nAnswer: 1694*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 9:12 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 29*l**3 - 7*l - 2. Let q(k) = -14*k**3 + 3*k + 1. Give -3*g(m) - 7*q(m).\nAnswer: 11*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*m + 13*m + 37*m)*(-m**2 - m**2 + m**2) - 2*m**3 - 2*m**3 + 6*m**3)*(-4*m**2 + 3*m**2 - 5*m**2 + (0*m - 2*m + m)*(m - 3*m + m)).\nAnswer: 215*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7332 - -15989. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 647 + -647. Let q(x) be the third derivative of -1\/96*x**4 + 1\/480*x**6 + 0*x**3 - 1\/240*x**5 + 12*x**2 + 0 + 1\/840*x**7 + f*x. Factor q(u).\nAnswer: u*(u - 1)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*z - 5*b, -b + 21 = -0*z - 2*z. Let j be (10\/8)\/((-3)\/z) + -1. What is the derivative of 36*o**4 - 14*o**4 - 23*o**j + 13 wrt o?\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -137585, -137569, -137549, -137525, -137497?\n\"Answer: 2*f**2 + 10*f - 137597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 0)\/(3 - 15816\/5274). Suppose 0*k - k + 882 = 5*m, -5*m - 2*k + n = 0. Calculate the remainder when m is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 386d9 + -264?\nAnswer: 38475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*p - 63*p - 12187 = -l, -5*p = -2*l - 30454. Does 43 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 341 + -347. What is the units digit of 220\/14 + 3 - d\/21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6963*t + 3520*t - 155 + 2*t**2 + 3439*t to the form y*t**2 + f + h*t and give f.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66632*z - 66627*z - 1100 = 0. Calculate the smallest common multiple of 1440 and z.\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5366964191\/2592 + 2070588. Calculate the common denominator of -71\/3564 and w.\nAnswer: 28512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9246*o**3\/7 - 18672*o**2\/7 + 9606*o\/7 - 180\/7 = 0. What is o?\nAnswer: 30\/1541, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -20. Let n be (23 - 24)\/(z*1). What is the biggest value in -0.02, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94268 (base 12) to base 6.\nAnswer: 4053412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 51*s**2 + 547*s + 551. Does 59 divide q(-45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-24941\nAnswer: 2494.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -119*z + 84 + 154 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3 + 0 + sqrt(1377))**2)*6.\nAnswer: 324*sqrt(17) + 8304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 1, -4, 18, -3, 5 in decreasing order.\nAnswer: 18, 16, 5, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z**2 - 157339 + 157339.\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 300907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*z - 3 = -29*z. Let a be (1 - z)\/((-18)\/(-23959143)). Suppose 23684254 = -4*m + a. Round m to the nearest one hundred thousand.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -362 - 94*w**2 + 205*w**2 - 113*w**2 to h*w + v*w**2 + y and give y.\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 76*i**2 - 3*i - 13. What are the prime factors of v(-2)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 2, g: 2, v: 4}. What is prob of picking 1 v and 2 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45.3 + 45. What is the second biggest value in -0.02, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from {t: 1, c: 2, o: 4, h: 1, q: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 32, 1, 8, -0.056?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(8\/(-7718)) + -4. Suppose 0 = -34*s + 29*s + m. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1333 and 387?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -16\/7 (c) -0.5 (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -1\/189*v**7 - 1\/27*v**4 - 1\/9*v**2 + 0 + 1\/9*v**3 + 1\/45*v**6 - 1\/45*v**5 + 42*v. Factor s(b).\nAnswer: -2*(b - 1)**4*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -102, 0.1, 77, -0.5 in ascending order.\nAnswer: -102, -0.5, 0.1, 58, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -5*q**7\/7 + q**6\/3 + 298*q**3\/3 + 185. What is the third derivative of h(o) wrt o?\nAnswer: -600*o**3 + 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -123 - 3*q**2 + 110 - 5*q**3 - 13*q - 3*q**3. Let n(i) = -7*i**3 - 3*i**2 - 12*i - 12. Let g(l) = 6*n(l) - 5*p(l). Is g(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4555*-0.01.\nAnswer: 45.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49092787?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -1\/4*b**4 + 7*b + 2*b**3 - 3*b**2 - 2. What is n(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/40*(-4)\/(-4).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 391 = -a + 3*x - 0*x, -1955 = 5*a + 2*x. What is the units digit of a\/(-51) - 2\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3417 and 14127?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**2 - 98*y - 36. Give c(25).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445967 - 148655 + 0*u - 148649 - 148655 + 3*u.\nAnswer: 3*u + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2 - 13*c + 20. Let j be v(2). What is the highest common divisor of j and 1670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 8)*(-4)\/(-14). Let g(b) = 3*b**2 - 14*b - 2*b**2 + 17*b + b**r. List the prime factors of g(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 19.7. Let m = -0.3 + w. Is m smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**4\/4 - 5*z**3\/3 + 5*z**2\/2 - 5*z + 249. Calculate h(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5325164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-52)\/16 - 1\/(-4). Put z, 7, 2, 0 in descending order.\nAnswer: 7, 2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222635858461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 169125 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-1 - -2) + -3 + -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -1 - 20) + (-18250 - -18354) - (-4 + -2)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 3081 = -9015. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 7*c**2 - 4*c - 5. Let y = -10 + 21. Suppose -5*a + 0*a - y = -f, -2*f - 5*a + 7 = 0. What is b(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-24))\/(((-405)\/(-168))\/27)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26516751?\nAnswer: 3, 8838917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 600 is divided by 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(10 + -20)*3\/6. Let k be d*(2 + -5 + 4). Solve -k*v = -25*v - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k - 2. Let h be q(-3). Let v = h + 28. Calculate the highest common factor of 30 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1353 or 8624?\nAnswer: -1353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r = 0. Let k(j) = j**3 - 5*j**2 + 5*j + 70. Let o(g) = g**2 - g - 1. Let y(s) = k(s) + 5*o(s). Is y(r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5412.9 to the nearest one hundred.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 + 5 + (9 - -8) + -14.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1\/3))**(-29))**(12\/5)*(o\/((o**3\/o)\/o)*o\/(((o\/(o*o**6*o))\/o)\/o))**(-14\/9) assuming o is positive.\nAnswer: o**(-4876\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -8. Suppose 21 = 5*c - 2*p, -3*c + s*p - p = -18. Let x = c + 0. Solve -x*q - 32 = -4*h, 5*q + 25 = -4*h + 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2900038 - 1501.5?\nAnswer: -2901539.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 6*g + 16. Suppose -g*b + 7 = -5*j, 7*j - 5 = 2*j. Calculate the highest common factor of 24 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.1 (b) 4 (c) 74 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 5*l - 2. Calculate p(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209187788 is divided by 91?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3591 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*6\/(-4) - 3. Let s = t - -10. Suppose -7 - 13 = s*l, -23 = -i + 4*l. Let o(x) = x**3 - 5*x**2 + 4*x - 1. Calculate o(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38187 is divided by 279?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*o = 3, -o = -5*x - 4*o - 3. Put -5, 1, x in decreasing order.\nAnswer: 1, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 1 + 1)*(4 - 4 - v) - v + v + v - 2*v + 14*v + 2*v)*(-109*v**3 + 383*v**3 - 153*v**3) to the form s*v**2 + q*v**4 + n*v + r*v**3 + h and give q.\nAnswer: 1936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33\/3563 or -1?\nAnswer: 33\/3563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2. Let a(u) = 20*u + 61. Let g(b) = 43*b + 121. Let p(x) = -13*a(x) + 6*g(x). What is t(p(d))?\nAnswer: 4*d**2 + 268*d + 4489","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 30930.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sok when three letters picked without replacement from {o: 1, k: 1, s: 1, n: 1, i: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/6)\/(3\/36). Suppose 4*y - b + 0 = 0. Suppose -2*j + j = -3*x - 13, -4*x = y*j + 4. Solve -d - d - j*r - 12 = 0, -4*r = 4*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -2\/11, 35\/3, -0.03, 6, -0.37?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/4 + 12135*o**3 - 154612753*o**2 + 178494394560*o - 54089082102784.\nAnswer: -(o - 23648)**2*(o - 622)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 19*c + 20*c + 18*c - 76*c + 21*c. Let p be 2\/(-3) + 2\/3. Let t(o) = p*o - 3*o - o. Determine t(h(x)).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 5. Let o(f) = -4*f. Calculate p(o(u)).\nAnswer: -16*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**3 - 5*i**2 + 4*i - 3. Let y be m(3). What is the greatest common factor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 3:48 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + 7*c - 50. Give q(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36766045, 36766052, 36766059, 36766066, 36766073?\n\"Answer: 7*m + 36766038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2431*l - 607 + 2444*l + 629. What is y(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + 47\/(15463\/(-5076)))\/((-8)\/(-126)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1434 divide 33135114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10786 divided by 5?\nAnswer: -10786\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 442693.7ml in litres?\nAnswer: 442.6937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7.91, -1, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -8 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11368132 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**4 + 13712*k**3 + 123300*k**2 + 369792*k + 369738 = 0.\nAnswer: -6847, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9588 and 5799142?\nAnswer: 1598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41400 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*-10*4\/(-50).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*l**4 + 0 - 1\/6*l**2 - 1\/3*l + 1\/3*l**3.\nAnswer: l*(l - 1)*(l + 1)*(l + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -0.7 (c) -0.3 (d) 1 (e) -145 (f) -368\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 339 = 3. Suppose -2*z + d = z. Let c = 612 - z. What is c rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 1. Let a(k) = 30*k + 33. Let p(y) = -2*y - 2. Let j(d) = a(d) + 12*p(d). Let b(u) = -j(u) + 5*x(u). Let r be 26\/(-10) - 4\/10. What is b(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - ((-820)\/(-28) - 2)*21\/(2835\/54)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 + (-4 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2*k + 0 - 3 = 0, -4*p - 3*k = -8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01069 - 0.0104797. Round j to five decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -345458\/5 - -69092. Let a = -0.02 - 3.98. What is the closest to n in a, -3, 33?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {b: 3, t: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**3 + 2*a**2 - 2*a - 18. Is b(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2\/9 - 15764*a\/9 + 162254\/3 = 0. What is a?\nAnswer: 31, 7851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 18*k + 9. Let b be c(18). Let f be -1 + b*8\/(-12). Let p(x) = -x**3 - 9*x**2 + 7*x + 3. Let d be p(f). Round d to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1732*j + 474*j - 15655*j to t*j + i and give t.\nAnswer: -16913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 13*a + 17. Let k be l(-12). Is 6 a factor of (-2)\/(-10)*18*k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*((2*sqrt(931) + sqrt(931))**2*3 - sqrt(931)) + 2.\nAnswer: -63*sqrt(19) + 226235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 2*c = 7*h + 11, 9 = 3*c. Sort 1, -141, 4, h in ascending order.\nAnswer: -141, h, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 2, -16, 1720, -6 in descending order.\nAnswer: 1720, 4, 2, -5, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*b**2 - 19*b**4 + 5*b - 36 - 3*b**5 + 40*b - 18 + b**4 - 18*b**3 = 0. What is b?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66601 is divided by 8323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2 + 1\/3*z**4 + z**3 + 1\/3*z + 0 = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -18 - 4*r**3 + 5*r**3 - 2*r**2 + 0 - 19*r**2 + 21*r. Let a be w(20). Factor 0*k - 1\/4*k**5 + 0*k**3 + 0 + k**a - 3\/4*k**4.\nAnswer: -k**2*(k - 1)*(k + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(0*i**5 - 2*i**5 + 4*i**5) - 2122*i**5 + 823*i**5 + 960*i**5.\nAnswer: -335*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35684 and 1772.\nAnswer: 15808012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (400\/120)\/(57\/(-2052))?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-12))\/(58\/174)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + 3 - 3 - 690*f**2 + 2399*f**2.\nAnswer: f**3 + 1709*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.592 + 3.892. Sort -0.9, 2\/7, 10, k in descending order.\nAnswer: 10, k, 2\/7, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 90, 228, 366, 504, 642?\n\"Answer: 138*r - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10431 and 513?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 1, -1 in decreasing order.\nAnswer: 4, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 30 = -5*k, 5*r + 10 - 34 = 3*k. Let w = 99\/35 - -4\/7. Does r = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 12. Determine o(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3759685 litres to millilitres.\nAnswer: 375.9685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30537 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -1\/3*n**3 - 7\/20*n**5 + 0*n**2 - 4*n + 0 + 0*n**4. Find the second derivative of s(d) wrt d.\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*u + 29 - 29 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-1 - f + 1 + (f + 0 + 0)*(-2 - 2 + 3) + 3*f + 0*f + f)*(3 - 2 + 1).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -1587*d**2 + 276*d - 12 = 0.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 5, -0.2 in descending order.\nAnswer: 9, 5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3900, 7804, 11710, 15618?\nAnswer: 19528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*z - 327*z + 439*z.\nAnswer: -110*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h - 224 = 0. Let g = -632 + h. Is -1*3 - (2 + g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/((-12)\/(-9) - -2) and (-209)\/(-6) + (-4)\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1 (b) -1\/3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -21*z**2 - 5. Suppose 0 = -6*u - 17 + 41. Let g(y) = -11*y**2 - 3. Determine u*v(m) - 7*g(m).\nAnswer: -7*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + 65 + -25 - 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**3 - 224*a**2 + 9*a - 9. Let i(o) = -o**3 - 57*o**2 + 2*o - 2. Calculate -18*i(z) + 4*x(z).\nAnswer: -2*z**3 + 130*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22a - -651a?\nAnswer: 62b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38936 and 38936?\nAnswer: 38936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 7 + -3 - (11 - 6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 5*h - 1. Suppose -3*o = 2*d + o - 46, -3*d - 2*o = -81. Suppose -w + 10 = -2*a + w, 4*w = -3*a - d. What is t(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(1\/(10 - -2)). Suppose 4*y + t = -o, -3*y - 3*t - 4 - 23 = 0. Let q(c) be the second derivative of c**3\/6 - 5*c**2\/2 - 37*c. Calculate q(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84175, -84130, -84005, -83758, -83347, -82730, -81865, -80710?\nAnswer: -79223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4208490 and 4895.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/45 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 1, 18, -7, -94 in descending order.\nAnswer: 18, 1, 0, -2, -7, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -187406956.1 rounded to the nearest 10000?\nAnswer: -187410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -49358\/17 (b) -1\/12 (c) 2\/3 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/16)\/(2\/8*-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**3 - 2*s**4 - 4*s**3)*(313 + 45 + 214 + 125).\nAnswer: -1394*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/3 + 10*j**3\/3 - 8*j**2\/3.\nAnswer: -2*j**2*(j - 4)*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 54 - 18 = 0. Let q be (-12)\/20 + x\/(-10). Solve 5*g - 5*h + 4 = 3*g, -q*g - 2*h - 6 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(-1 + 5 + 0)*(-385*p - 1136*p + 502*p - 540*p).\nAnswer: -12472*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-428)\/36 - -12)\/(2\/(-12)). Let a = 9 + -5. What is the smallest value in w, a, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 16, j: 2}. What is prob of picking 3 n and 1 j?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from gjgbssdggbgsjjblsbbs?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 8*t - 2 - 4*t - 4. Let n(g) = -g**2 - 6*g - 10. Let f be n(-5). Let v be a(f). Is v < -1\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 1141*z**2 - 123392*z - 441. Give f(145).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 472305501 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1\/11 (c) 2\/21 (d) 2\/7 (e) -67 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 3732825078\nAnswer: -3732825063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 147958 * -455\nAnswer: -67320890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 81*p**9\/56 - p**5\/30 + 117*p**3 - 2235*p**2. What is the third derivative of z(q) wrt q?\nAnswer: 87480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3*j - 6)*(-8 + 4 + 21) in the form h + z*j and give z.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -415 + 493 + -63 + -22.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 3, -3\/5, 1663?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**2 + 8 - 10*p**2 + 2*p - 3 + 715*p**3.\nAnswer: 715*p**3 + 2*p + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**3 - 666*v**2 - 332*v - 325. Give o(167).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193, -192, -191, -190?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3145)\/(-60) - (-2)\/(-3). Let b = 52 - l. Let i = 0.2 + -1.2. What is the closest to i in b, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 - 1. Let y be w(-1). Let z = -537053\/3 - -179018. Factor 4*h + 12 + z*h**y.\nAnswer: (h + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13303 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 244 - 233. Suppose 323 - 15 = -c*b. Do -88\/3 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/8))\/j**(2\/11)*j*j**(-11)*j*j\/(j*j**13*j)*j)**(1\/7) assuming j is positive.\nAnswer: j**(-1875\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 2. Suppose -2*t - 30 + 74 = 5*u, 0 = 4*t - 4*u - 116. Let m = 31 - t. Calculate the remainder when g is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 77.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 27 = -3*w + 32, -2*x = 5*w - 47. What is the remainder when (-3)\/18 + 988\/24 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(208)) - (sqrt(208)*-1 + -1))**2 + -5 + 0 + sqrt(1872) + 0.\nAnswer: -5 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 2*p**3\/3 + p**2 - 37*p + 1795. Calculate l(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6110922 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 66. Let n(f) = -f + 68. Determine -3*n(c) + 2*w(c).\nAnswer: c - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12112112220 (base 3) in base 12?\nAnswer: 53113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/7)\/u)**(-18) assuming u is positive.\nAnswer: u**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -10*s**3 + 154*s**2 - 200*s + 93. What is x(14)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/7)\/((-8)\/14)*-4. Let z(p) = -p**3 - p**2 + 2*p + 4. Let g be z(s). Let j be (-6)\/8 - 2\/8. Sort j, -5, g, 2 in descending order.\nAnswer: g, 2, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 2000. Let n be h(0). What is n rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 0.4, 190, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 + 4*t**2 - 2*t + 4. Determine f(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b**2 + 3 - 3*b**2 - b**2)*(-2 + 0 - 1) as x*b + k + l*b**2 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 12*u**2 - 2 - 3.\nAnswer: -12*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -92, 15, 12, 88 in decreasing order.\nAnswer: 88, 15, 12, 4, 0, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*0.336.\nAnswer: 13.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0868 to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44615 is divided by 572.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(6\/7)*k*k**(-2\/9))**(33\/7)\/((k\/k**(-1))**(1\/44))**(-26\/3) assuming k is positive.\nAnswer: k**(13100\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3204976 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1304*b**2 - 4549.\nAnswer: 2608*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 432 and 443232?\nAnswer: 443232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 62934626477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*w - 2*w. Let m = -6 + w. Suppose 4 = -z - 3*u, m = 2*z + 3*u - u. Solve z*f = -3*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -4. Let j(v) = -v + 4. Let c be j(4). Let g = c - u. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.771751 nanograms in milligrams?\nAnswer: 0.000004771751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1d (base 14) to base 6\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0)*-3 + sqrt(204)\/sqrt(192).\nAnswer: -11*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*b - 5*m - 30, 5*m = b - 10. Let t be (21 + -22)*(-2)\/1. Solve 8 = -t*h + 4*y, -4*y = -b*h - 2*y + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-205)\/90*3 - (-4)\/(-24). What is the smallest value in -0.06, y, -3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13293 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1707, -3, -8 in decreasing order.\nAnswer: 1707, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1000224 + 3?\nAnswer: 1000231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.02, -3, 2\/11 in decreasing order.\nAnswer: 2\/11, 0.02, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 4*v**3 - v**3 + 3 - 1. Let m be l(-2). What is the greatest common factor of m and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364*h**2 + 726*h**2 - 361*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 8*w. Let h be d(-12). Suppose o - 5*a - 60 = 0, -4*a + 8*a = -4*o + h. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*b + a - 193 = 0, 3*b + 2*a = -1236 + 1234 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -692 + 696. What is the fourth smallest value in 0, 7, 5, c?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7157 - 6269. List the prime factors of k.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 + -101?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 5*l - 3. Let n be g(5). Is 2*(4548\/(-8))\/n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*c - 4*u - 3, -u = -3. Let s(k) = -k**2 + k + 4. What is s(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*z - 5. Let r(l) = 4 + 9*l - 4 - 1. Is r(z) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 243.99999901 - 244. Round g to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35177 - 18913?\nAnswer: 16264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - 2*sqrt(189)\/sqrt(3))\/((sqrt(9) - sqrt(36))*-2)*1*2)**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 + -53. Suppose d*o + 3*h + 2*h = 499, 4*h = 3*o - 351. Calculate the highest common divisor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10265 a factor of 1277130240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 37. Which is the closest to -7\/5? (a) f (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*u + 8, 5*a + 0*u - 5 = -5*u. Factor 3*y**2 - 14*y - 5*y - 13*y - 2*y**2 + 3*y**a + 48.\nAnswer: 4*(y - 6)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 20 - (-6 + (5 - 4))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-2))\/(6*(-4)\/(-32))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23570 - 23570. Which is the second biggest value? (a) n (b) 2 (c) 259\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 325*l - 2280.\nAnswer: -5*(l - 57)*(l - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 0*s**3 - s**3)*(-10224*s + 44*s**2 - 27*s**2 + 10176*s + 2).\nAnswer: -34*s**5 + 96*s**4 - 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**2 - 23*p**2 + 40*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 14 + 2 + 9*u - 21. What is the remainder when i(2) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-67)\/8241*4\/6.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*p**2 - 17 + 17 + (2 - 2 - 2*p)*(-5*p + p + 0*p) + 4*p**2 + 2*p**2 - 4*p**2 + 4*p**2 - 2*p**2 + 2 - 1.\nAnswer: 5*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4250 - 4250. Let o(d) be the third derivative of -d**5\/60 + d**4\/12 + 43*d**3\/2 - d**2. What is the tens digit of o(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*z = 1, -3*l - z = -6*z - 11. Let t = 8 + l. Suppose -3 = 3*j, -t*c - 3*j + 21 = -1. Solve 9 = c*p - 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(228) + (sqrt(228)*-1 - sqrt(228)) + sqrt(228))\/sqrt(4))\/(sqrt(6)\/sqrt(8))*-5*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -102521 (base 8) in base 16?\nAnswer: -8551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 + 69. Let b = -1.5 - -2. Put s, b, -2 in descending order.\nAnswer: b, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88451, 179335, 270219?\nAnswer: 361103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 30106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31817031 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -335 + 8*m + 0*m + 333. What is r(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(-6)*(-12)\/(-48))\/((1677\/(-52))\/43).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4230 = -1575*a + 1105*a. Let x(c) = 13*c**2 + 29*c - 5. Let h(d) = -6*d**2 - 14*d + 2. Calculate a*h(b) + 4*x(b).\nAnswer: -2*b**2 - 10*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d - 34 + 23 + 45 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1215*p - 1305*p + 795*p.\nAnswer: -1725*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 453195 to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4 + sqrt(700) + sqrt(700) + 0))**2 + 0.\nAnswer: 640*sqrt(7) + 11264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. Suppose 5*b - 10 = p, 4*p - 17 = -h*b + 3*b. Solve 0*w + p*w = 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 194781\nAnswer: -1\/194781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) 78 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.7, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 636551197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -145 + 149. Suppose -c*g - 744 = -d, -2*g = -6*d + d + 3648. List the prime factors of d.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 995274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000115374353 rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -8 - 12. Solve -8 = a - l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45442967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -48493 >= -48488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8, 17, 38, 77, 140, 233, 362?\n\"Answer: c**3 + 2*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.38 * 0.2.\nAnswer: 4.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-3 - -4 - 3) + (138 - 135)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*q = 7, n - 15 = -2*q - q. What is the lowest common multiple of (-126)\/(-27) - (-4)\/n and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-33) + 246\/22. Let b be 20\/(-60) - d\/(-15). Let a = -0.8 - -2.8. What is the fourth smallest value in a, -1, b, -0.01?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164298 is divided by 27383?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -2\/3, 3, -5\/3, -452\/39?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10736 a factor of 146600080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15912016 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3*b + 1 = 4, -5*i - 2*b = -14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**7\/3360 - a**6\/160 + 11*a**4\/12 - 5*a**2. Let y(g) be the second derivative of o(g). Factor y(n).\nAnswer: -3*n*(n + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28946134, 57892265, 86838396?\n\"Answer: 28946131*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1079*d + 16616 - 3855 = 943*d - 199*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 3, -1\/2, 0.1195, 5, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*a - 56*a - 20. Suppose -2*g + 10 - 6 = 0. Let b(u) = -6*u**2 - g*u + 2 + 12*u**2 - 3*u - u**3. Calculate b(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8820 and 420?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, q: 4, m: 5}. What is prob of picking 3 m?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3985588.27023+-118\nAnswer: -3985706.27023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(432) + 2)*4.\nAnswer: -96*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 16 = 2*r, 3*f - 3*r + 29 = 47 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6764165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1 + 0 - z + z**2 + 2. Let t = 60 + -32. Let d be 21\/t - (-60)\/(-16). Let u(v) = 2*v**2 - v + 1. Determine d*q(y) + u(y).\nAnswer: -y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 287499 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2260290912\/5 or 452058183?\nAnswer: 452058183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 2:53 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -484393 divided by -5\nAnswer: 484393\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003812976 to four decimal places.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - 1 + 1 + 3*s + s - 2*s + s - 1 + 1 + (-3*s + 6*s - 4*s)*(-5 - 2 + 5) + 2*s + 2*s - 3*s + 2*s - s - 2*s + 101 - 103*s - 100 + 32*s.\nAnswer: -65*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 + -76 + (3 - (2 + 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Let z(f) = 2*f**3 + 21*f**2 - 11*f + 7. Let j be z(-11). Let i(a) = -j - a**2 - 6*a**2 + 8*a**2. Calculate i(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1565 + 0.2.\nAnswer: -1564.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -52*m - 23. Determine y(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3410 + 408*n - 3410)*(-3 + 3 + 2*n + (-6 + 2 + 2)*(2*n - 3*n + 7*n)) in the form g + f*n**2 + c*n and give f.\nAnswer: -4080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 2*s**2 + s + 1. Let q(a) = -a**2 - a + 2*a + 27 - 28. Let n(r) = -m(r) - 2*q(r). Calculate n(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84994 divided by 6538.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-230)\/(-45))*61\/183?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299991961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 17*f**2 + 11*f + 38. Let k be w(-4). Let u = 279 - k. Solve -u*b - 1 = -14*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5*d - 6. Suppose -3*z + 53 - 47 = 0. Find j, given that j - z*j - j**d + j = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/22*(-6 + -2). Suppose -7*d = -i*d - 12. Suppose -d*a = -4*n - 160, -4*a + n + 150 = -n. What is the greatest common divisor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 71*v. Let h(o) = -2*o. What is h(b(d))?\nAnswer: -142*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -275*g**5*r + 2*g**2*r - 2*g**2 + 25*g*r wrt g.\nAnswer: -16500*g**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*m**2 - 33*m - 2178.\nAnswer: 3*(m + 11)*(5*m - 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 23, -11, -2\/437 in descending order.\nAnswer: 23, -2\/437, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 + (-408)\/(-69).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.552027 microseconds in minutes?\nAnswer: 0.00000025920045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7, 19, 41, 73, 115, 167, 229?\n\"Answer: 5*i**2 - 3*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20273 + -27211?\nAnswer: -6938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(640) + (sqrt(640) - (sqrt(640) + sqrt(640)*-1 - sqrt(640))))\/(sqrt(24)\/(1*sqrt(3))).\nAnswer: -36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -9528*i + 85764. What is y(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 85*m - 38. Let g be (-568)\/71 - (-10 + 0). Is 22 a factor of x(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 1. Let g = -4 + d. Is g <= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 132443 = 100357. Round p to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7837 + -162?\nAnswer: -8110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -3\/41145952?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.4 and 636796?\nAnswer: -1528310.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15122575 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(11\/(-16)) + -21*(-576)\/(-336)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12379320 by -40.\nAnswer: 309483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14304193?\nAnswer: 271, 52783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 6 - 3 - -3) + (1 - (64 + -14))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 12 = -2*z. Let m = z - 2. Suppose 5*p - 3*h = 22, 0*p + m*h + 12 = 2*p. What is the remainder when 5 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnbnbbnnbbnnbbbnbnb.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.040596ml?\nAnswer: 0.006040596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from dddddddddyydydd?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 5:08 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(8\/13)\/p*p)\/(p\/p**(-3\/5)) assuming p is positive.\nAnswer: p**(1\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 10*t**2 + 13*t + 48. Let l be r(-13). Let q = 424 - l. Calculate the remainder when 73 is divided by q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 780 = z. Is 9 a factor of (-2)\/7 + z\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 18527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l + 37. What is the tens digit of o(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + (-73271)\/(-2))*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/2464 and 118\/1155.\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 9*i + 20. Let r be o(12). Suppose -n + r = n. Solve 8 = 4*u + n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1251004*v**2 - 2301838.\nAnswer: 2502008*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.254 + 5.618. Round h to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.083 and 86.\nAnswer: 85.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-69) - (148 + (-552600)\/3105)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8177538.175 to the nearest one thousand.\nAnswer: 8178000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -3. Suppose l = 3*c - 9. Suppose 0 = -c*a + 2124 - 496. Is a 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) 83 (b) 3 (c) 0.5 (d) 4 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -50?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8744624 - -10?\nAnswer: -8744614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - s = 5, 0 = -3*s + 6 - 21. Suppose 5*u + 8 = -j, 2*u = 20*j - 22*j. What is the tens digit of f\/u + -5 - -201?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.061 and -410?\nAnswer: -25.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 - 3*h + 2. Let n(a) = 2*a**2 + 18*a + 7. Give 6*d(t) + n(t).\nAnswer: -10*t**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17991\/5 - 1061279\/295. Let z = -1805\/1062 + q. Let c = -20\/19 + 1967\/190. Find the common denominator of z and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in ninety-three quarters of a tonne?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aadadddddd. Give prob of sequence ddda.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (936\/6318)\/(6\/(-27)*-1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2 - 292*s - 179. Let u = -5 + 34. Calculate the remainder when u is divided by f(98).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n. Let q(o) = 237*o**2 - o - 2. Give k(q(r)).\nAnswer: 474*r**2 - 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62 or -0.23?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 31202316 (base 7) to base 2\nAnswer: 1010000000010100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -135*q + 1. Let w(c) = 67118*c. Calculate w(t(j)).\nAnswer: -9060930*j + 67118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-203 - -317) + (0 - (1 + -2)) + (-140 - -133).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**7\/35 + n**4\/8 - 2*n**2. Find the second derivative of v(r) wrt r.\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 - 14*q**2 + 50*q - 331. Calculate n(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16 and 32.1.\nAnswer: 16.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*sqrt(2448) - (sqrt(2448) + (5 + (sqrt(2448) + -1)**2 + sqrt(2448) - sqrt(2448))).\nAnswer: -2449 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + d - 174 = 0, 0 = 5*n - 3*n + 3*d - 82. Let p = n + 66. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3955966?\nAnswer: 2, 7, 37, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 195721483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -234 - -101. Let g = t - -132. Sort g, 5\/4, -3\/8.\nAnswer: g, -3\/8, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 13 - 7 = 0. Let l be -1 - t - (12 - 9). Let x be (-69)\/l*2*-3. Calculate the highest common divisor of x and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**2 + 3*j**3 - 2*j**2 - 6*j**3 + 0*j**3 wrt j.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2710434430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4897\/(-1003) - 8\/68.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 - -80. Suppose -5*o = -4*o - b. What is the greatest common factor of o and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-72)\/(-9) - (-468)\/(-27). Which is bigger: l or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 33447?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -0.1. Let r = -2621.8 - -2622. Let t = 15 - 11. What is the nearest to s in -0.4, r, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kttk when four letters picked without replacement from {t: 4, k: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (-24701)\/663 - ((-39)\/(-9) - 4)?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 14976136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 0.2, 1\/6, 4\/7, -42?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 != 73\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15+-0.049\nAnswer: 14.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 15. Suppose -3*w = 0, -2*l - 3*w = -l - h. Differentiate 13*j**l - 13*j**3 - 6 + 5*j**4 with respect to j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -58\/31 and -2.5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.4, 0, 66, -30.7, 2\/3 in descending order.\nAnswer: 66, 2\/3, 0, -0.4, -5, -30.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9975, 19911, 29809, 39669, 49491, 59275, 69021?\n\"Answer: -19*o**2 + 9993*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**6\/120 - g**5\/12 - g**4\/8 + g**2. Let q be (-4)\/6*1*-6. Suppose -2*t - 4 = q. Give l(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 8602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y - 2524 + 4822 = 2466. Factor -2\/17*s**y + 6\/17*s**2 + 0 + 0*s**3 + 4\/17*s.\nAnswer: -2*s*(s - 2)*(s + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -123005?\nAnswer: 123010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 3.393 (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -950, -1563, -2194, -2849, -3534, -4255, -5018, -5829?\n\"Answer: -z**3 - 3*z**2 - 597*z - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62811 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000038659 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50484080 divided by 631051.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnjkkjklnkjkkpllkj. What is prob of picking 1 p, 2 n, and 1 k?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/5 - 39\/(-15). Let x = 6 - n. Let p(i) = i**3 - 2*i**2 + 4*i + 1. Is p(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32565, -130101, -292669, -520275, -812925, -1170625, -1593381?\nAnswer: -2081199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 - (45 + -32 + (2 - 1)) - (-6 - 0).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 4 (b) 6\/5 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -972*s**3 + 45*s**2 + 122*s + 52. Is 4 a factor of f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-2) - 4 - -3)\/(174\/116).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2841916659 to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, o: 4, r: 1}. What is prob of sequence ono?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 8) to base 7\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 219.\nAnswer: 2409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*q = -86*q + 3. Suppose z = -q*k - 2*z + 20394, 5*z - 20384 = -3*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 312182, 312175, 312164, 312149?\nAnswer: 312130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**3\/6 - d**2\/2 + d. Let o(m) = m**3 - 11*m**2. Let n be o(11). Let s(j) = 2*j - 6 + n*j + 0*j. Determine -4*g(h) + s(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1160 (base 9) in base 4?\nAnswer: -31200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5237 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**6\/120 - m**5\/12 - m**4\/4 - 31*m**3\/6 - 2*m**2 - 26. What is the tens digit of d(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 292151\/13 - 22473. Which is the closest to 8? (a) -1\/2 (b) -0.08 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 - (-81 - -98) - -75.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1\/3)\/((-42)\/(-367794))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 - 264 = -3*z. Calculate the highest common factor of z and 333.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*a + 3734*a + 556*a - 327*a.\nAnswer: 3802*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 2419438950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*sqrt(2420))\/(6*sqrt(10)*-3)*-1.\nAnswer: 88*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115)\/3*40815\/(-417220)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - i = -1426 + 1402, -3*y = 3*i - 81 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*h**4 + 5*h + 1265*h**3 - 2 + 2*h**2 - 4*h - 1265*h**3 in the form d*h**2 + u*h + a*h**4 + o*h**3 + g and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 173, 262, 373, 506?\n\"Answer: 11*k**2 + 56*k + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7088 (b) -44 (c) 65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3.4. What is the nearest to 0 in 5, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5655, 5668, 5703, 5772, 5887?\n\"Answer: 2*s**3 - s**2 + 2*s + 5652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 145520 + 5?\nAnswer: 145525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 4*h + 0*h - 4*h + 3*h + 3*h - 3*h + h + 8*h - 2*h + 3*h - 2*h + (-3 + h + 3)*(1 - 2 + 0) - 5*h + 2*h + 4*h + 2*h + 0*h - 4*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -824.01?\nAnswer: -823.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6106.\nAnswer: 2, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g + 16. Let p(n) = -3*n - 16. Let h(x) = 3*p(x) + 4*s(x). Let o be h(12). Suppose -2*a - 87 = -z, -o*a - 10 = a. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 7*x + 10. Let l(h) = -h**2 + h - 1. Let f(r) = -4*l(r) - 4*o(r). Determine q, given that f(q) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (22 + -12 + (-14 - -25) - 10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-1))\/(-2)*45\/9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 16. Let p(j) = 7*j - 47. Let v(x) = 8*m(x) + 3*p(x). Determine v(10).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 - -2.01. Let i be (10\/(-12))\/(3\/(-6)). Let p = 1889.1 - 1889.3. Which is the closest to p? (a) 4 (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1215948 and -77\/607974.\nAnswer: 1215948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01716961162 to 4 decimal places.\nAnswer: 0.0172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (-3 + -5 + -1 + -4 + sqrt(252))*2.\nAnswer: -23 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179179.\nAnswer: 7, 11, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 - (4 + (-56)\/10). Suppose 3 = b + l, -y = -5*b + 1. Solve 4 = 2*o - y*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5346671g in milligrams?\nAnswer: 534.6671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h - 1 + 16*h**2 - 2*h - 4*h + 8*h. Let k be l(-2). Suppose -55 = -c - 4*p, 0 = c - 0*p + p - k. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 33*s. Let g(h) = -68*h + 163. What is u(g(y))?\nAnswer: 4624*y**2 - 24412*y + 31948","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + (sqrt(80) + 2 + sqrt(80))*-6) + (sqrt(160) + -2*sqrt(160))\/(sqrt(8)*2*-3 + sqrt(8)))**2.\nAnswer: 12996*sqrt(5) + 531409\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**2 + 3*i. What is g(2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/2 + 1 + 2. What is the units digit of 15 - g - (-5 + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.83483ml?\nAnswer: 0.00583483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 12, h: 6}. Give prob of sequence hxh.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*n + 3 = -2, 4*j + 5*n + 5 = 0. Suppose y = -j*y. Solve -3*i = 0, y = -s + i - 4 - 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*c + 18*i - 17*i, 4*i - 4 = -2*c. Solve 7 = 2*z + 3*w, 2*z + c*w = -0*w + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5094 = -1951*b + 247*b - 15492 - 4938 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 0 + 0. Let d(o) be the third derivative of 0*o + 0 + 2*o**2 + 0*o**3 - 1\/12*o**4. Give x(d(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 280109 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: Which is the third biggest value? (a) -3 (b) 22\/15 (c) -22 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 21*x**2 - 23*x + 14. Determine n(22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.04576 + -0.03376. Let x = o - 10. Round x to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 25*(1 + 2 + -2). Let i be (10\/25)\/((-5)\/h). Let o = 23 - i. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/9 - 142*l**2\/9 + 230*l - 954.\nAnswer: 2*(l - 53)*(l - 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 144 - 5?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 91456335 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/49))\/(d*(d\/d**(-4\/3))\/d) assuming d is positive.\nAnswer: d**(-202\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1041, -2059, -3051, -4017?\n\"Answer: 13*g**2 - 1057*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -33660?\nAnswer: 3366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1348906 is divided by 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/21326721 or 0?\nAnswer: 4\/21326721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u - 5*u - 170*u**2 + 57*u**2 - 37 - 9*u**2 as p*u**2 + b*u + r and give p.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**2 + 1 - 2*j**2 + 4*j**2 - j**2 + 2*j**3 as c*j + b*j**2 + f + o*j**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/(-8)*(-10)\/(-7). Solve -5 = d*a - 3*y - 1, -3*y - 4 = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15534?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*y + 5 - 5.\nAnswer: 137*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 - 225. Let t = -54 - a. Suppose 5*v + y - 2*y - 93 = 0, 4*v - 3*y - t = 0. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1285560 is divided by 806?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/54*-6)\/((-4845872)\/(-177288))\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/24 and 23\/4374?\nAnswer: 17496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + (sqrt(192) - (-5 + 2 + sqrt(192))) + (sqrt(192) + 0 + sqrt(192) + sqrt(192) + sqrt(192) - sqrt(192)) + -3)**2 + 2.\nAnswer: 3074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 25. Find h such that -h - 13*h**2 - 14*h + 10*h**2 + 8*h**2 + b = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -36*y - 346*y - 536*y + 116*y. Let w(n) = 2*n. Determine r(w(d)).\nAnswer: -1604*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5382\/(-598)*(-17)\/6)\/((-3)\/(-2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 4:28 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1, 0, 3, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*k - 9*k = 384. Put -7, k, -3 in increasing order.\nAnswer: -7, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/72*-12)\/13\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 804, 3813, 9178, 16899, 26976, 39409, 54198?\n\"Answer: 1178*b**2 - 525*b + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5724089*g**3 - 90457*g + 2 wrt g.\nAnswer: 34344534*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 13*d - 1127. Suppose 4*y - 7 = 13. Suppose -y*b + d = 2*b. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(0 + 2*-1). Let r = -42 - -44. Suppose 2*l = r*q + 24, -l = -0*q + q - 12. Solve 4*y - l = c + 5, y = g*c + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 6:08 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 563*u - 584*u - 202 = -2*i, -4*i = 2*u + 36 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110000001100 + -1101100000101?\nAnswer: -101011100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63780*z + 63787*z + 2*q - 61 = 0, 2*q - 7 = -z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - p = -i + 59, -4*p = 4*i - 136. Let h = i - 11. Solve -h = o + 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/(((-48)\/70)\/((-1868)\/(-3269)))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*p**2)\/p))\/p**(1\/7)*p**(-1\/4)\/((p*(p*p*p**(-2\/41)*p)\/p)\/p) assuming p is positive.\nAnswer: p**(-3839\/1148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -27454162 and -12.\nAnswer: -27454174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -545*-0.5.\nAnswer: 272.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 56 - 40 = 0. Let y be (-3)\/l - 33*(-5)\/(-60). Sort y, -5, -4, 4 in ascending order.\nAnswer: -5, -4, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 - 235 = 50*z + 295 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*j - 1, 4*i + 0*i + 2*j = 20. Let k be 22\/(-7) + ((-4026)\/(-154) - 27). Put i, k, -5, 4 in descending order.\nAnswer: 4, i, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/1*(-9)\/18. Let t(l) = l + 3. Let q be t(f). Calculate the least common multiple of q\/12 - (-45)\/12 and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16472.3 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -18*n - 516438. Let p(z) = z. Calculate u(p(s)).\nAnswer: -18*s - 516438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 >= 262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1758, 1608, 1480, 1380, 1314, 1288, 1308, 1380?\n\"Answer: y**3 + 5*y**2 - 172*y + 1924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/(u\/(u\/((u**(1\/21)*u)\/u))*u)*u)\/u)\/u*((u\/(u\/u**(3\/5)))\/u*u)\/u)\/(u**11*u**(-5)) assuming u is positive.\nAnswer: u**(-677\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 28.5. Let j = -30 + 119\/4. Let f = 0.1102 - 3.1102. Put h, f, 3, j in descending order.\nAnswer: 3, h, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96.8 - 88.8. Which is the third smallest value? (a) g (b) 1\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 - 12*t + 6. Let c(s) = s**2 - 336*s - 5261. Let a be c(-15). Determine x(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3441*w**3 + 259. Suppose -12*o + 1191 = 33*o - 10464. Let y(f) = -40*f**3 + 3. Calculate o*y(p) - 3*i(p).\nAnswer: -37*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*m - 3128 = 73*m. Let g = m - -392. Is -7\/31 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-84) + (-98)\/12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245113*v - 245109*v - 5*o = 9, 2*v - o = 9 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 3.4, 4\/5, 14?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44506 - 21229352\/477. What is the common denominator of -85\/6 and u?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 8*f - 96 - 43. Solve -b + 5 = -f*a + 14*a, 0 = -3*a - 2*b + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 3:34 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*c - 5. Let g(i) = 3*i**2 + 3*i - 2. Suppose -4 = 4*r + 3*z - 1, -12 = 5*r + z. Let w be g(r). Solve -c*j - w = 2*t, -5*t - j = 4*j + 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - p**2 - p + 21. Let d be y(0). Let n = -2 + d. Suppose -3*x = 3*o - 0*o - 108, 4*o - 149 = x. Calculate the remainder when o is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o**4 - 5740*o**3 - 6*o**2 + 289032*o wrt o?\nAnswer: -36*o**2 - 34440*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7120480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 12) to base 11.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-16) + 18\/(-40). Let f be 2\/4 - ((-1036)\/280 + 4). Which is the nearest to j? (a) -0.1 (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1936)\/(-33))\/8*3\/2. Suppose 98 = u*o - 122. Solve -9*h + 16 = -o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28\/3, 0.3, -34, 0.017, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1*210\/(-3))\/2.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.927658 kilometers to nanometers.\nAnswer: 6927658000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -5, 5, -1\/6 in ascending order.\nAnswer: -19, -5, -1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**4\/4 - 7*p**3\/2 + 9*p**2 + 5*p + 44. Let l(w) be the first derivative of c(w). Suppose l(x) = 0. Calculate x.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 314656 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 936\/(-286)*(-336)\/(-2016)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 634 - 632. Suppose 0 = 3*l + 105 - 327. Suppose 16 + l = 5*w - v, -m*w + 2*v = -36. Solve u = 4*f + w, -2*u - 3*f + f - 14 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l + l**3 - 5*l + 7*l - l**2 to the form k*l + t*l**2 + z + a*l**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 2*s - 2, 5*v - s - 14 = 3. Suppose 53 - 149 = -v*q. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16242 is divided by 2212?\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/37)*a**(-2\/19))**(2\/7))**21 assuming a is positive.\nAnswer: a**(-216\/703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 16 and -9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*i**2*x**3 + 2*i**2*x**2 - i**2 + 1577*i*x**5 - 10*i*x - 93*x**2 wrt x.\nAnswer: 30*i**2 + 94620*i*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003035 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 + 4*v + 8*v**2 - 4*v to the form t + k*v + p*v**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -38.\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.3 (c) 197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n - 2 - n + 3*n**2 - 2*n - 6. Let c be q(4). Suppose -5*a - 567 = -c*a. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -2*a + 448. Let j = 158 + a. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3.5. Let b = -28 - -28.8. Let u = b - 1. Put 4, u, a in ascending order.\nAnswer: a, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.478135 rounded to three decimal places?\nAnswer: 15.478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88052*y - 56985 wrt y.\nAnswer: -88052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1*sqrt(99) - sqrt(99))\/sqrt(9) - sqrt(110)\/(sqrt(30)\/sqrt(3))).\nAnswer: -sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**7\/168 + b**6\/120 + b**5\/80 - b**4\/48 - 62*b. What is u in a(u) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-21) + (264\/21 - -6). Suppose 2*n + 2*f = 7*f + 39, 4*f = -20. Solve 3*g + l = n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4520023+-5\nAnswer: 4520018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**2 - l**2 - 2*l**3 - 6*l**3 + (-1 + 1 + 2*l)*(3*l**2 - 6*l + 6*l))*(2 + 2 - 3) in the form h*l**3 + j*l**2 + q*l + x and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1121785, 2243576, 3365367, 4487158, 5608949?\nAnswer: 6730740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95462 is divided by 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 2*f + 5*w, 5*w = 3*f - 0*f - 170. Suppose 4*t + 32 = p, 48 - 150 = -4*p + 3*t. Calculate the highest common factor of p and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 1, -5\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-1 + 0)*4. Let w be (324\/(-60) + 6)*5. Factor -3*a**2 + 3 - a + 6*a - w*a**q + 7*a + 9.\nAnswer: -3*(a - 2)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -64, -57 in increasing order.\nAnswer: -64, -57, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24992*k**4 - 13*k**2 - 1978311*k wrt k?\nAnswer: 299904*k**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 9. Suppose -z*a - 20 = 2*a. Let p(s) = 2*s**2 + 5*s - 2. Let j be p(a). Calculate the greatest common factor of 70 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6.491167 years?\nAnswer: 77.894004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 558.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 9:19 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 + 10*u**2 - 38*u + 13. Let v(p) = p**3 - 7*p**2 + 25*p - 9. Let s(z) = 5*d(z) + 8*v(z). What is the units digit of s(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584 + 219 = -45*y + 38 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 649877829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -935 + 1783\/2. Calculate the common denominator of (156\/40)\/(4 + 2) and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1056025*z**3 - 463097*z**2 wrt z?\nAnswer: 6336150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6531621110 - 0?\nAnswer: 6531621110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + s + 0*s + (0 + 3 - 2)*(2*s + 3*s - 7*s) - 2*s - s + 2*s + 0*s - 3*s + s + s + s - s + (2*s - s - 4*s)*(-5 + 0 - 1).\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214565?\nAnswer: 5, 13, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00715 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.9*-0.11.\nAnswer: -0.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28289.\nAnswer: 28289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 1174919157.2?\nAnswer: 1174919160.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**4\/60 - s**3\/30 - 172*s. Factor q(f).\nAnswer: f*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*5*((sqrt(1900) + sqrt(1900) + 1 + sqrt(1900))*4 + sqrt(1900)*2 + -2)**2 + -2.\nAnswer: 33600*sqrt(19) + 22344238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d**2 - 4*d**2 + 5*d**2)*(5 - 4 + 1)*(48*d + 29*d - 5*d) to the form w*d**3 + l*d + u + c*d**2 and give w.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r - r)*(3*r**2 - 24*r - 19*r - 2*r**3 + 18 + 42*r).\nAnswer: 2*r**4 - 3*r**3 + r**2 - 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 32930\/6561?\nAnswer: 32930\/6561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23333872 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -84101.7 rounded to the nearest 1000?\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 14*c**2 - 16*c + 13. Give u(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(3\/6*-4). Let p be ((-84)\/11)\/o - 4. Which is the third biggest value? (a) -0.5 (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8271 + -3?\nAnswer: 826c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**7\/6 + 4*l**3\/3 - 7*l. Find the second derivative of b(s) wrt s.\nAnswer: 140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2 = -6*f. Let k = -1455 + 1452. Suppose a = -2 - 3. Put k, a, f in decreasing order.\nAnswer: f, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4106299*q + 352213 wrt q.\nAnswer: 4106299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * -13157\nAnswer: -9209.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, x: 2}. Give prob of sequence aaax.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4972 + -4970. Solve -37*u = -36*u - x, -3*u = 6*q + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 times 4?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/40013 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 658 - 1302 - 54*r + 645.\nAnswer: -54*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dgv when three letters picked without replacement from {g: 1, v: 6, m: 3, d: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(320) - (5 + -2*sqrt(320) + sqrt(320))**2 - (1*(sqrt(405) + sqrt(405) + 1*sqrt(405)) + sqrt(405))).\nAnswer: -1380 + 208*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 395799889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 - 2*q**2 - 5*q + 3*q + 4*q. Let s(l) be the first derivative of -l**3\/3 + l**2\/2 + 14. Calculate -c(k) + s(k).\nAnswer: -2*k**3 + k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41383643?\nAnswer: 7, 1471, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 4*m**2 + 3. Give h(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260.18 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -90, -180, -270, -360, -450, -540?\n\"Answer: -90*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 431171 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2739 + 2572 - 9*j + 4*j + 7*j + 0*j to the form g + b*j and give g.\nAnswer: 5311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 5, u: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -11155 - 6\/(-3). Let u be 4213587\/378 + 8\/6. Let h = u + d. Find the common denominator of h and -133\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkeekk. Give prob of sequence ek.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 11:07 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 767341.4 years?\nAnswer: 76734.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/40 and 37\/118.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**7\/28 - 3*a**5\/20 + 10*a**3\/3 - 5. Let y(f) be the third derivative of g(f). Find the second derivative of y(c) wrt c.\nAnswer: -180*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25294382339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*d**4\/7 + 184914*d**3\/7 + 38049093*d**2\/7 - 100399200*d\/7 - 6605100 = 0. Calculate d.\nAnswer: -205, -2\/5, 3, 12530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.306787 to 2 dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 427476 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7505 + p + p - 48*p**2 - 46*p**2 + 84*p**2.\nAnswer: -10*p**2 + 2*p - 7505","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 35 + 91)*(-187 + 187 - 23*f).\nAnswer: -2162*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 4*g - 95, -59*g + 60*g + 20 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 6) to base 4.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from sssmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 156145939 less than -0.21214?\nAnswer: -156145939.21214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*q = -13 - 1, j = 2*q - 10. Let y be 2 - -1*14\/(-6). What is the closest to y in -0.5, -6\/11, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 818.5469 - 824.4. What is d rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95562009 divided by 111?\nAnswer: -860919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 8\/7, -247, 48\/7, 19, 2\/3 in decreasing order.\nAnswer: 19, 48\/7, 8\/7, 4\/5, 2\/3, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 l when four letters picked without replacement from {l: 4, b: 2, y: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -2.7. Let q = -1.3 - d. Which is greater: q or -2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n + 4*n + n**2 + (1 - n**2 - 1)*(2 - 2 + 1) + 0 + 2*n**2 + 0 + (n - 1 + 1)*(24*n - 26*n - 17*n) to the form v + r*n**2 + a*n and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 5*s + 4. Let b be i(-5). Suppose 4*q - b*w - 85 - 135 = 0, -3*q = -2*w - 162. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**3 + 4*m**2 + 12*m + 109. What are the prime factors of w(-8)?\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -4, 0.7, -1084, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -118313 (base 9) to base 14\nAnswer: -1c1b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 8:06 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/10 - (-6)\/9) + (-83)\/(-6). Solve j = 2*r - 3*s, -3*r = r + 2*s - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**2 - 22*v**3 + 8*v**2 - 22*v**2 + 2*v.\nAnswer: -22*v**3 - 3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/16486 and -35\/316.\nAnswer: 2604788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3, 2*m + 2*m = 5*q - 801. Let z = 207 + m. Solve z*g - 12*g + 4 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257073 is divided by 666.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 - 0.8. Let m = 1 - z. Suppose -l = -4*g - 21, 0 = 5*l - 39*g + 40*g. What is the nearest to -0.3 in l, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141228, 141232, 141236, 141240, 141244, 141248?\nAnswer: 141252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 1 - 372\/(-6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 7568.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 3:59 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 105893497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 217*h - 6293. Calculate q(29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 120171022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01914426216 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/229 and -73\/236.\nAnswer: 54044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 2086?\nAnswer: 20860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 139207532, 139207535, 139207540, 139207547, 139207556?\n\"Answer: u**2 + 139207531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 72 (base 13) to base 6\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -52942740 less than -11750252?\nAnswer: 41192488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 595603359?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6920 or -72191?\nAnswer: -72191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnqnqnnnnqq. What is prob of picking 1 n and 3 q?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*(sqrt(66) - (sqrt(66) + sqrt(66)*1)*1))\/((sqrt(216)\/sqrt(4)*6)\/(2*sqrt(36)))*4.\nAnswer: -64*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 5*u + 34, 4*v + 4 = -u + 21. Let d = 14 + -5. Let q = -3 + d. Sort 2\/21, v, q in ascending order.\nAnswer: 2\/21, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011011 - 100?\nAnswer: 1010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -30. Let o = x - -26. What is the remainder when 25 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10467 and 936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3507, -10768, -18017, -25248, -32455, -39632?\nAnswer: -46773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8977?\nAnswer: 47, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16658657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 81\/2 of a century?\nAnswer: 4050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**3 + 15*l**3 + 11*l**3 - 36*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3\/7 - 228*w**2\/7 - 2320*w + 2352.\nAnswer: 4*(w - 98)*(w - 1)*(w + 42)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48584 divided by 4.\nAnswer: -12146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 12*t**3 - 17*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 95*b + 76. Is a(51) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**2 + 5*a + 3. Let g(w) = -3*w**2 - 16*w - 14. Let b(q) = -6*q**2 - 30*q - 26. Let n(v) = 6*b(v) - 11*g(v). Calculate -4*l(h) - 5*n(h).\nAnswer: -h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34, 122, 268, 472, 734?\n\"Answer: 29*d**2 + d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 + -56. Let y be -1*45*(-3 - 26\/q). Let z = y - 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -69, -100, -131, -162, -193?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102 + 102.97. Let f = -0.03 - k. What is the nearest to -0.2 in -3\/7, f, 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - d - 3)*(7*d**2 - 14 + 14).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + (0 - -2))\/(-2). Suppose -10 = -3*l - 4. Is h > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 26. Is f > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106984727 + 319615273 = -618*i + 608*i. What is i rounded to the nearest one million?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 640795393?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 11*a - 8. Let o be m(-10). Let v = 43 - 38. Let k = -27 + 24. Sort o, v, 0, k in decreasing order.\nAnswer: v, o, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30*(-63)\/(-6615)*175\/4)\/((-1)\/1)?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 9*r + 35. Let p be s(9). Suppose 5 - 19 = -2*m. What is the highest common divisor of p and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-2 - (-1 + 3)) + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4*o - 30 = -20, 3*i = 3*o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 215 + -226 - (2 - (-1 + 11))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f. Let m(j) = 2*j**2 - 40582*j - 80. Determine m(s(r)).\nAnswer: 8*r**2 + 81164*r - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 21*d**4 - 2572*d**3 + 48019*d**2 + 77712*d + 29700 = 0.\nAnswer: -6\/7, -2\/3, 25, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/8 + (-1 - 333\/138). Let c be (6\/(-4))\/(414\/(-24)). Let n = b - c. Sort 1, 0, n, 7 in increasing order.\nAnswer: 0, n, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*k**2 + 2308*k**5 - 2306*k**5 + 70*k**3 + 4*k**4 - 26*k**4 = 0. What is k?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 b when three letters picked without replacement from qlrllqlbr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-18)\/(5\/((-325)\/10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.354 - -19.054. Let s = h - 18.6331. What is s rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 8:37 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 133*h**4 + 3*h - 3184 + 3302 - 3*h wrt h.\nAnswer: 532*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 16744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**2 - 207*a - 58. What is the remainder when 353 is divided by g(-41)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11\/288, 1516, 23?\nAnswer: -11\/288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i + 3630 = 3990 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 516 and 288363676.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437858 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/36))**(2\/9)*(c**(-2\/3)*c*c)\/((c*c\/((c**31*c)\/c))\/c) assuming c is positive.\nAnswer: c**(5075\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6) + 32\/12. Suppose 4*b - 3 = 3*b. Suppose -s*w = w - b*h - 12, -w + 10 = h. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.14 + -0.56. Let q = 4 - 9. Which is the third biggest value? (a) -0.3 (b) o (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26*(-13)\/338)\/(-2*4\/248)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 12 = -3*a, k + 4 = a - 8. Calculate the remainder when a is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123544628 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(300)*-3 - 3*(sqrt(3) - (sqrt(3) + 3)) - (sqrt(147) + 2 + 4 + 1))**2.\nAnswer: -148*sqrt(3) + 4106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2 + 21903*h + 10515310 = 0. Calculate h.\nAnswer: -470, 22373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -1\/12*m**4 + 12 - 25\/2*m**2 + 5\/3*m**3 + 125\/3*m. Factor i(p).\nAnswer: -(p - 5)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + (-44)\/(-16))*-4. Let c be (-1 + z)*(-4 + 95\/20). Let y be 64\/20*(2 + c). Solve 4*s = -3*t - 26, -3*t + 4*s = 6*s + y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3840))\/(2*sqrt(720) - sqrt(720)))\/((sqrt(108)\/sqrt(72))\/(2*sqrt(9)*-3)).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7753334.\nAnswer: 2, 859, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 195\/315 + (8\/(-7))\/4. Let z be 27\/12*1\/3. Let g = 0.4 - 3.4. What is the nearest to t in 0.4, z, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*m = 5. Let h be (4 - 2) + m + 5. Is (-3)\/((-42)\/h) - 21228\/(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - u + 3 = -i, -4*i + 4*u = -28. Suppose -k + 8 = -h, k - 20 = -2*k + i*h. Suppose -9*l + k*l = 30. Sort 4, 0, l in decreasing order.\nAnswer: 4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**2\/3 - 9944*f\/3 - 5313805 = 0.\nAnswer: -7935, -2009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 109. Suppose -5*t = -4*t - 75. Let k = t - 75. What is the tens digit of d(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**6\/6 - 2*j**5\/5 - j**4\/4 + 2*j**3\/3 + 9. Factor x(h).\nAnswer: h**2*(h - 2)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 12:06 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 147 + -146. Let i(v) = -53*v - 2. Let y(r) = -53*r - 2. Let l(x) = 2*i(x) - 3*y(x). Is l(a) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1443019952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 7. Suppose 3*l + j = -3, l = -5*x + 16. Suppose 0 = -x*t + 19 + 13. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 20*x**2 - 1. Suppose 7 - 2 = -5*w. Is q(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**5 + 4*r**5 - 27*r + 6*r**5 + 14*r wrt r.\nAnswer: 180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -854*-4.11904\nAnswer: 3517.66016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 578\/3 (c) -117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d - 2. Let k be l(4). Let h = 386 + -102. Find the common denominator of 9\/k*h\/60 and -87\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07321 take away -0.4?\nAnswer: 0.32679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 6:00 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 11. Suppose c = q*x + 580, -2*c + c = -4. List the prime factors of x\/(-4) - (-12)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19715*b**4 - 16*b**3 + 2*b*d*p - 3139*d*p + 55298*d wrt b.\nAnswer: 78860*b**3 - 48*b**2 + 2*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -16*q**2 - 378523*q - 378524. Give m(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -61. What is the greatest common divisor of 35 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 2. Suppose -q*b + 36 = b. Let r be (-18)\/(-4)*6\/b. Solve 0 = -d - r*d + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1, -2\/41, 0.1 in ascending order.\nAnswer: -2\/41, 0.1, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 6*a = 5*r - 3, 5*a - 5*r = 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6*1)\/((-270)\/5400).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -640 divided by -8\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001597479 to 6 dps.\nAnswer: 0.001597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*h - 601*h + 322*h.\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3092\/33211?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18 + (6 - 3\/1). Let y = -19 + x. Solve -u = y*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.32 + 13.22. Let a = 3.8 + -5.5. What is the nearest to a in 1, q, 1\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-490)\/(-7)*6\/(-45)*(-33)\/(-22)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -6700*p**2 + 6295*p**2 + 58*p + 540 - 70*p - 126*p**3 + 3*p**4 = 0.\nAnswer: -2, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-4 + 6 - 2)) + 72 + -61.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236808*o - 1 + 236803*o + 1.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-144)\/15)\/((-76)\/(-9500))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.82 - -20.32. Which is the closest to 1? (a) 3.9 (b) p (c) 0.2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -1 (c) -0.008 (d) 0.1 (e) 22.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 18*v**3 - 15*v**2 + 46*v - 65. What is the ten thousands digit of x(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -104993 and -0.5.\nAnswer: 52496.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 168117?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 7:24 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -101221010 (base 3) to base 6\nAnswer: -100520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 2. Let v(t) = -12*t - 5. Calculate v(j) + 3*y(j).\nAnswer: -9*j - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/5 (b) -2\/3 (c) 9\/5 (d) 360\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -234.\nAnswer: 4\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3 - 1 = -3*a, a + 5*u + 5 = 0. Suppose 2*v = -4*o + 3534, a = -2*v + 2*o - 1257 + 4767. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8*9600\/(-720)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2683\/324 - -38\/81. Let n(o) = -o**2 - o - 3. Let p be n(-3). Let s = p + t. Is s at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4295 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*z - 487 = 0, -u + z = -3*u + 200. Suppose -5*f - 83 + 283 = -5*a, 5*f = 4*a + 207. What is the remainder when u is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 6*t**2 - t + 2. Let v be q(3). Let u = v + 138\/5. Suppose 26*w + 58 = -111 + 39. Which is the closest to -3? (a) w (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/((-80)\/504)*(-2 + -2). Let w = -81 + -31. Let d = w + h. Solve 3*a + x + 4*x = -9, a - 4*x - d = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u - 40. Let l be t(-21). Let p be 14\/6 - 2\/6. Suppose p*g - 2 = l. What is the greatest common factor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14180, -55882, -125386, -222692, -347800?\nAnswer: -500710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-5 - 201\/(-42)). Suppose -206 = -3*g + 5*p, 2*g = p + p + l. What is the lowest common multiple of 2 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l + 1. Let x be w(-2). Let y(c) = 2*c**2 + 10*c + 7. Let i be y(x). Suppose -9 = -z - i. Put -1, -4, z in decreasing order.\nAnswer: z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*d = 4. Let p = 31 - 63\/2. Which is smaller: d or p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 51678, 51728, 51776, 51822, 51866, 51908?\n\"Answer: -z**2 + 53*z + 51626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3828\/(-174)*2\/4. Let x(c) = 4*c + 52. Determine x(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 13) to base 10\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66734 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: Factor o**4\/9 + 11*o**3\/9 + 40*o**2\/9 + 16*o\/3.\nAnswer: o*(o + 3)*(o + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/101656 and -43\/5.\nAnswer: 508280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.83774 rounded to two dps?\nAnswer: 1.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699 + 114*p - 59*p - 35*p + 434*p.\nAnswer: 454*p + 699","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 18 - 32 + (-1 + 1 + 2)*(0 - 2 + 0) - 1 - 3 + 2 - 2 + 3 + 1 + (-1 + 1 - 1)*(0 + 2 - 3))*(-l + l + 2*l).\nAnswer: -124*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -4 (c) 0.16378403\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 660629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11397372 or 11397371?\nAnswer: 11397372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 10) to base 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -103\/32?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24521 is divided by 6126.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1087727 - 0.02.\nAnswer: 1087726.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 203, 306, 575, 1094, 1947?\n\"Answer: 14*a**3 - a**2 + 8*a + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.005 + -1.995. Suppose -3*q + 15 = -6*q. Which is the nearest to 0.1? (a) -1 (b) q (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 + 70. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.224 - 0.22400047. What is o rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(192) - (sqrt(192) - (sqrt(192) - (-6*(1 + sqrt(192)) + sqrt(192)) - sqrt(192)))) + sqrt(192) + (sqrt(192) - (4 + -4*sqrt(192))))**2 + -2.\nAnswer: 352*sqrt(3) + 23238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = u + 3, 0*u + 3*s = -4*u - 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*f = 4*b - 44, 3*f + 118 = 5*b. Let c = -68 - f. Let i be (80\/c)\/((-1)\/2). Solve 4*p = 2*v - 3*v - i, -2 = -2*v - 2*p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134144 take away 6.739?\nAnswer: 134137.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 198 = 317 - 95 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-373 - -531)*2\/(-4))\/(-1).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, t: 4}. What is prob of sequence tx?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -134 (base 5) to base 8\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74853, 299399, 673641, 1197579, 1871213, 2694543, 3667569?\nAnswer: 4790291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3990)\/12)\/19)\/((-196)\/(-392))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -1\/30*g**5 + 0*g**3 + 1\/24*g**4 + 1\/105*g**7 + 0*g + 0*g**6 - 1\/336*g**8 - 4*g**2 + 0. Factor j(u).\nAnswer: -u*(u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 3*q**2 - q + 5. Let j be t(-4). Let n = 27 + j. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36181 and 485?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3708a7 (base 12) to base 16.\nAnswer: d9fff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238 and 9058?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*-1*2\/(-3). Is w > -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -5501?\nAnswer: 5501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 4*v**2 - 3*v + 8. Let w be j(4). Which is the second biggest value? (a) 2\/5 (b) w (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -7. Suppose -1920000 = -3*h + t*w - 3*w, 0 = -2*w. Suppose 0 = -2*p - 0*p - h. What is p rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77844.23 millennia in years?\nAnswer: 77844230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -756*s - 49*s + s**2 - 333*s + 38*s to the form v + f*s**2 + c*s and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18973, 38131, 57321, 76555, 95845, 115203?\nAnswer: 134641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v - 3*v**2 - 9*v + 0*v**2 + 24*v.\nAnswer: -3*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((56\/35)\/(-1))\/((-9)\/(-450)*-35)\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 15*v = -x + 216, 2*v + 408 = 2*x. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -451.8063 - 459523?\nAnswer: -459974.8063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 794316 to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/2)\/(9 + -7). Let s(u) = -u**2 - 3*u - 2 + 3 + 0*u**2. Let o be s(-4). Put o, 3, b in increasing order.\nAnswer: o, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*3\/(-18)*2 - -8. Let t be 9*((-6)\/k - -1). Solve t*q + 12 = -0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.896kg in micrograms?\nAnswer: 123896000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21.48 - 8.48. Which is the fourth smallest value? (a) q (b) -1\/10 (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 524562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -777 + 773.735. Let m = q + 0.265. Sort 0, -4\/9, m, 5.\nAnswer: m, -4\/9, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166775.\nAnswer: 5, 7, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1459\/3 + 493. Let h = y + -6. Let z be -7 - 3\/((-15)\/25*1). Which is the closest to 1? (a) h (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d**(2\/3))\/d)**(-1\/24) assuming d is positive.\nAnswer: d**(-5\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2))**(-1\/70)*(g**40)**8 assuming g is positive.\nAnswer: g**(11201\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s + 105 = 0. Let r = s - 13. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 953431 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/35 - -221\/35. What is the common denominator of 43\/121 and r?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.81 + 1.17. Let s = -3 + t. Let u = -0.02 - s. Which is greater: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -891536 (base 10) to base 4\nAnswer: -3121222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.972 - -3.972. Let w be (-6)\/4*62\/(-18). Let l = w + -5. Which is the second smallest value? (a) l (b) 5\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1058*f + 23280. Let v be b(22). Suppose -3*l + 13 = 4*m, 8*m - 3*m = 4*l - 7. What is the second biggest value in v, 7, -1, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18 and 1.00376562.\nAnswer: 19.00376562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x - 2*x + 0*x. Let k be o(-1). Suppose 0 = k*d + 2*q - 4*q - 370, 0 = 4*d - q - 365. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + s + 0*s)*(-4*s - 7*s**3 + 4*s)*(-5*s - 4*s + 5*s - 5).\nAnswer: -28*s**5 - 35*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 620 and -813.\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -104*h**2 - 140 - 39 - 262*h - 221 - 4*h**3 - 238*h.\nAnswer: -4*(h + 1)*(h + 5)*(h + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-9)*135\/6. Suppose u = -8*w + 2. Let v(z) = -z. Let r(l) = 32*l. What is w*r(m) - 40*v(m)?\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*o + 32, -4*b + 28 = 2*o. Solve -13*u + 18 = -8*u + 3*m, -2*u - b*m + 11 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z\/(z*z**(3\/25)))\/z)\/z*z*z)\/(z**(26\/5)\/z)*(z*z\/z**(-6))**(-14\/5) assuming z is positive.\nAnswer: z**(-618\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76960 = 46065*l - 44141*l for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 1410, 4825, 11478, 22449, 38818?\nAnswer: 61665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 4*l = -24, 3*u - 4*l = 2 + 15 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1075 times 4\nAnswer: -4300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*c = 12, -9*v + c = -7*v - 12. What is the closest to 2\/255 in v, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - -250. Let n = -262 + q. Solve 5*z + 45 = 4*g, -g - 3 = 2*z + n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 19. Let b be p(-4). Let v be (-55)\/b + -4 + 1. What is the second smallest value in -3, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -141 and 6456.1.\nAnswer: -910310.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (432\/(-405))\/((-174)\/(-145))\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18*-2203\nAnswer: 39654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1199956 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Let h be o(-4). Let q = h - -9. Suppose 2*u - 7 - q = 0. Calculate the remainder when 11 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5011820 and 16720?\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 6*t**2 - 2*t - 4. Let f be h(-6). Suppose f*a + 109 - 317 = 0. Let n = 28 - a. Calculate the highest common divisor of 18 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from {k: 2, f: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.307071 or -7?\nAnswer: 0.307071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**8\/504 + 2*v**7\/315 + v**6\/90 - 2*v**5\/45 - v**4\/36 + 2*v**3\/9 + 11*v**2. Determine m, given that r(m) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3165 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3 - 39 = 0. Calculate the least common multiple of (-30)\/(-4)*(-32)\/(-5) and g.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*d = 992, 5*f - 1340 = f - 2*d. Let v = f - 332. Solve -3*u - 1 = -5*w - 5, -w - v = -u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*i + 1523107 - 7311097 = 0. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 1 = -19*h, 3*v - 48971*h + 7 = -48976*h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -59\/452 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -92?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 2. Let p be l(4). Suppose -3*z + r + 107 = 0, -r - p*r + 169 = 5*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 652 and 51468.\nAnswer: 8389284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 4*i. Let y be v(-3). Let n(k) be the second derivative of -k**5\/10 - k**4\/6 + k**2\/2 - 3*k. Is n(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u - 142 - 149 + 286 + 16*u. Let z(h) be the first derivative of -84*h**2 + 64*h - 26. Determine -64*m(t) - 5*z(t).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.15 + -0.1. Let t = o + 0.05. Suppose -4*s + 1 - 5 = 0. Sort 1, t, s in decreasing order.\nAnswer: 1, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52211.09 centuries in years?\nAnswer: 5221109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*d + 35907 - 45495 = -113*d for d.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -93 (base 13) to base 4\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 3 (c) -1\/3 (d) 0 (e) -1\/10 (f) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*sqrt(288) - ((sqrt(90)*3)\/sqrt(5))**2.\nAnswer: -162 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a year in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -41, -124, -259, -440, -661, -916, -1199, -1504?\n\"Answer: f**3 - 32*f**2 + 6*f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + -13)\/6 - -8. Suppose c = -c + 8, z*c + 1131 = m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nl when two letters picked without replacement from llnllnllll?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 88834, 177751, 266660, 355555, 444430?\n\"Answer: -p**3 + 2*p**2 + 88918*p - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 4*s, 0*b - 3*b + 8 = 2*s. Let j be b\/5 - 3453\/(-5). Suppose 3*p = 9, 4*c - 5*p - 774 = j. Round c to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - a**2 - 74*a + 24. Let b be r(9). Solve b*p + 2*p - 24 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 26737*q - 5. Let s(a) = 502374872*a - 93947. Determine -93947*m(h) + 5*s(h).\nAnswer: 13421*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.679526, -0.8, 1, -0.5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-1)\/(187\/(-22)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.254 less than -294?\nAnswer: -284.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 128?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 36 - -16) + -34 + (0 - -61)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103\/5 at most as big as -2375191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 18251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -298533 and 3706.\nAnswer: -294827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 566, 1134, 1702?\nAnswer: 2270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(2\/25)))\/p*p*p**(-4\/3))\/(p**(-1)\/(p\/p**(-7))) assuming p is positive.\nAnswer: p**(581\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4238*d + 67809. What is y(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -852*f**2 + 12097*f + 120565167 wrt f?\nAnswer: -1704*f + 12097","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1152)\/(-60) + 4\/5. Suppose -3*c - g = -3*y + y, 3*y + 4*c = 47. What is the derivative of 10*h - 25*h - 23 + y*h + 3 wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 41 = 2*d, -57*x + 52*x - 6*d - 87 = 0 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnevvvntveyy. Give prob of picking 1 n, 1 y, and 1 e.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -50*s**3 + 12*s + 51*s**3 + 26*s + 7*s**2 - 44*s - 72 = 0.\nAnswer: -6, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-90)\/(-7) + -60 + 48. Which is the biggest value? (a) 0.3 (b) 0.4 (c) 42\/59 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/79713 and 55\/12?\nAnswer: 318852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21109 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 3:00 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23551 = 46*i + 9799. What are the prime factors of (-7)\/(35\/20) - i?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 5*a - 12, -12 = -y - 3*y + 5*a. Suppose i = -4*x + 52, y*i - 326 = -2*i + 2*x. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 403 and 3119623.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 18637*p + 37259*p - 3 - 18623*p.\nAnswer: -p - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 + 16*x + 25. Calculate m(7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23257\/45 - 2583\/5. Let d = -8 - -12. Let l = d - 2. Which is the third smallest value? (a) 0.4 (b) x (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119 + -71. Let a = -2706 - -2730. What is the smallest common multiple of a and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 + 10*c**2 + 83*c + 143. Give o(-3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 o when three letters picked without replacement from {r: 1, a: 4, i: 1, o: 2, m: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, n: 2, q: 9}. Give prob of picking 4 q.\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 232872048?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h + 825032. Let r(i) = -2*i**2. Calculate f(r(p)).\nAnswer: 8*p**2 + 825032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1, -303\/5, 239, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 10, f: 9}. What is prob of picking 4 f?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9103 is divided by 2274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*t + 1205, -5*b - 627 = 4*t - 1814. Let f = b + -162. Calculate the remainder when f is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f + 3. Suppose 16*s = 10*s + 18. Let p be (11 + -5)\/(s*4\/6). Give t(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -11\/7, -4, -359\/3, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/255)\/(1358253\/(-80370))?\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -324 divided by -6\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 168406958?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3625 - 20*o + 3625.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1413134133 (base 5) to base 6\nAnswer: -210052224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*n + 0 = -2, -14 = -w + 2*n. Suppose -w*t = -2*h + 252, 3*t = 3*h - 4*h + 111. Is h a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + 0*s**3 + 3 - 1)*(-3*s + s + s + (-5*s + s + 2*s)*(-4 + 3 - 1)).\nAnswer: 6*s**4 + 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228825745 is divided by 129?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12824195107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 9*h**4 - 119*h**2 + 2*h + 2. Let z(r) = r**4 + r**2 - r - 1. Suppose 4 = j + j. Let f(m) = j*z(m) + o(m). Find the third derivative of f(p) wrt p.\nAnswer: 264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 15*p**2 - 12*p - 30. Does 13 divide c(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-3 + 2) + -1. Let q(i) = -i + 8. Let l be q(f). Suppose o = -0 + l. Solve 2*j = -o + 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 10. Let i be z(5). Suppose -4*t - 9 = 3*b + 18, 0 = 5*t. Let c = b + i. Solve -8 = -2*m + c*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3241725 or -3241726?\nAnswer: -3241725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2065831 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*z + 63. What is the remainder when 61 is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-12) + 64\/6. Let z(y) = -y - 6. Let q be z(-7). Let s = h + q. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u + 0*u + u + (4*u + 2*u - 2*u)*(-1 + 0 - 2) + u - u - u)*(-1 + 0 + 3)*(-5*u + u + 5*u) as z*u + m*u**2 + d and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6214 + -0.3214. What is the nearest to -4.6 in y, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-2)\/40*-4*1). Suppose -40 - 65 = -m*p. Is 21 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2. Let i(n) be the third derivative of -773*n**4\/24 + 2*n**2 - 74*n. Determine i(k(q)).\nAnswer: 1546*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**4 - 2*r - r**3 + r**3)*(-44*r + 19*r + 26*r).\nAnswer: r**5 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 d when three letters picked without replacement from {g: 2, w: 7, a: 3, d: 5}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 969029065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34304 - 34232. What is the greatest common factor of r and 8244?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, i: 12, e: 4, a: 1}. Give prob of picking 2 u.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*l**2 + 10*l + 114 wrt l?\nAnswer: -22*l + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4535 and 7?\nAnswer: 31745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -221020 (base 3) to base 4\nAnswer: -22221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 6 - 3. Let t = b + 18. Suppose t*w - 12*w = -96. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1317916 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1 = w, w + 10 = 2*z + 3. Suppose 2*l - 37 = -27. Suppose -z*o = -l*o + 48. Calculate the greatest common factor of o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1759.889 and 23.\nAnswer: 40477.447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (62\/((-1674)\/(-1107)))\/(-1)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11665060 or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 11:39 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/7)\/u)\/u**(-3)*(u*u**5)\/(u*u**6\/u) assuming u is positive.\nAnswer: u**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1\/10, 3, 1.2 in increasing order.\nAnswer: -2\/11, 1\/10, 1.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*s - 11*s + 10, -5*s - 20 = c. Let w(f) = f**3 - 4*f**2 - 3*f - 16. Determine w(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajjbbbjabjbjabjja. Give prob of sequence jabj.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/6*22\/55*-3. Let z(j) = j**2 + 3*j - 1. Let x be z(m). Let d(b) = 4*b**2 + 2*b - 2. What are the prime factors of d(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 37\/338?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 12) in base 9?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.5 * -0.05.\nAnswer: -0.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 7. Let i be w(-5). Suppose 0 = -m - 3*m + i. Find s, given that -3*s**m + s**3 + 0*s**3 + s**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811 less than 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62*h**3*o + 28567543*h**3 - 120654*h*o with respect to o.\nAnswer: 62*h**3 - 120654*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**8\/10080 - w**7\/1890 + w**6\/1080 + 3*w**4\/8 + 8*w**2. Let c(o) be the second derivative of h(o). Factor c(f).\nAnswer: 2*f*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.0297\nAnswer: 0.01485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130338?\nAnswer: 2, 11, 191, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8174664*s*u + 4*u + 2546100 wrt s.\nAnswer: 8174664*u","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + 217\/(-49))\/((-4)\/(-14)). Let y(b) be the second derivative of 0*b**3 - b**a + 4*b + 1\/20*b**5 + 0 + 0*b**4. Differentiate y(i) with respect to i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1120695211 and 35.\nAnswer: -1120695176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.089416 milligrams?\nAnswer: 89416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33092660.96 + -1.\nAnswer: 33092659.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-124\nAnswer: -12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxxzxzxxxzuzxxzxxxz. Give prob of sequence zux.\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 626619 divided by -1689\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 98*v - 7. Give i(3).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c + 21403*c**2 + 3*c + 3 + 2 - 20766*c**2 to g*c + h*c**2 + s and give h.\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 8*i**3 + 44*i**2 - 29*i - 18. Let u(n) = -7*n**3 - 46*n**2 + 31*n + 19. Let w(j) = -4*q(j) - 5*u(j). List the prime factors of w(-18).\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.28726041 to 2 decimal places.\nAnswer: -3.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44817 = -1054*a - 5586*a - 426623 for a.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -807334*p**3 - 1318*p**2 - 2*p - 376 wrt p.\nAnswer: -4844004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -3, -0.08, -1\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6*(14 - -1940)*(-3 + 2)?\nAnswer: 2, 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(2*l**5 + 0*l**5 + 0*l**5) + (2 - 4*l**4 - 2)*(3 - 2*l - 3) - 1 + 3*l**5 + 1.\nAnswer: 13*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 965376 and 1206720?\nAnswer: 4826880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**3\/3 + 51. Let s(c) = 8*c. Give s(o(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/(-5))\/(14\/35). Let c = -7 + h. What is the remainder when (-6)\/(-9) + 26\/6 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 10. Let q(b) = -2*b - 11. Determine -4*h(d) + 3*q(d).\nAnswer: 2*d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0544 - 22?\nAnswer: -23.0544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195 - 2*y**2 + 55 + 88 + 52.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 1. Suppose 2*u + 2 = -2. Let v be p(u). Let f(z) = -v + 1 + z**2 + 8. What is f(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*z**2)*(-3*z**2 + 34*z**2 + 7*z**2) + (-3*z + 3*z + 2*z**2)*(4*z**2 - 2*z**2 + 0*z**2) + 2*z**4 + 2 - 2 + z**4 + 4 - 4.\nAnswer: -69*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3))**7 assuming g is positive.\nAnswer: g**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2. Let v(c) be the third derivative of 0 - 43\/24*c**4 + 91*c - 2*c**2 + 0*c**3. Give v(y(s)).\nAnswer: 129*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/3, -0.4, -309592?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5738*v**2. Let c(x) = -2830*x. What is c(a(l))?\nAnswer: -16238540*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: (-603)\/(-737) - (-2000)\/(-1584)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7017 and -0.1.\nAnswer: -701.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 458 - 432. Suppose -3*u - 12 = 0, -30*c - 5*u = -32*c + z. Solve 4*h - 12 = 3*d + d, 0 = -c*h + 4*d + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257815 + 257451 = -26*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12\/7 (b) 1.1 (c) 4 (d) 19 (e) 0.5 (f) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 13*u - 39. Let d be b(3). Let r be (-1 - (d + 1)) + 18 + -12. Determine f so that 2\/3*f**r + 0*f - 4\/3*f**2 + 0 - 2\/3*f**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + (sqrt(108)\/(sqrt(24)\/sqrt(4)))\/(sqrt(72)\/(sqrt(48)\/sqrt(6)))) + -2.\nAnswer: -3 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6 - (28\/7 - 67)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 2*d**2 + 8. Calculate the common denominator of z(-4) and -50\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -z + 2, -z - 2*c + 1 = -4*c. Suppose -2*q + 102 = z*q - f, 0 = 3*f + 6. What is the remainder when q is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1289*f**3 - f**2 - 4*f + 4. Is 28 a factor of i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60529*j**2 + 80363*j?\nAnswer: -121058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -9*n + 12 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1331) + -2)*5.\nAnswer: -60 + 330*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -25. Let z be ((-3)\/y)\/(-1) + 126\/15. Let u be (-69)\/36 + 1 + z\/(-27). Sort u, 0.3, -3\/5 in ascending order.\nAnswer: u, -3\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q**3 - 2*q**2 + 5*q**3 + 3*q - 2*q. What is w(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 12*a**2 + 2*a + 4. Calculate the remainder when i(-3) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2347*o**5 - 2799*o**2.\nAnswer: 140820*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 10:43 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/21, -1, -206, -2, 0.2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 641*d**8\/28 + 823*d**4\/6 - d**2\/2 - d + 897. What is the third derivative of p(k) wrt k?\nAnswer: 153840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96029\/1199 - 84)*(-22)\/(-12)?\nAnswer: -43\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214614 by -23846.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j - 16. Let x(b) = b - 1. Suppose 72 = 141*q - 129*q. Give q*x(k) - a(k).\nAnswer: -k + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibib when four letters picked without replacement from {w: 4, i: 10, b: 6}?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 33 = -5*v. Suppose -v*y = 7*y + 1683. Let w = -133 - y. What is the smallest common multiple of 55 and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 6*l - 5. Let j be u(3). Suppose -c + 0 - 14 = 4*z, -2*z = j*c. Suppose 43 = 3*a - q, -2*q + 0 = c. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, w: 1, m: 1, d: 2}. What is prob of picking 2 q?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 56*x + 288.\nAnswer: -4*(x - 18)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*x + 381*x - 8991 = -460*x + 1336*x for x.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019858994.\nAnswer: 2, 3, 7, 11, 735829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24153450 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -17. Let o(w) = -f*w - w - w + 8*w - 7. Give o(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**4 - 5*j**2 - 5*j - 11. Let x(w) = 5*w**4 - 7*w**2 - 7*w - 16. Let u(f) = 7*k(f) - 5*x(f). What is the first derivative of u(v) wrt v?\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 f, and 1 g when three letters picked without replacement from {d: 2, f: 2, g: 2, s: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**2. Let s(x) be the first derivative of 0*x + 0*x**2 + 3 + 2\/3*x**3. Calculate s(u(m)).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 471, 9 in descending order.\nAnswer: 471, 9, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 716534 and 51181.\nAnswer: 716534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4192 and 4076458.\nAnswer: 65223328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14070380.\nAnswer: 2, 5, 41, 17159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11)\/b**3)**22\/((b\/(b**0*b*b))**(-44))**(-2\/21) assuming b is positive.\nAnswer: b**(-1214\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 14\/9, 2\/13, 1\/4, 0.6347 in increasing order.\nAnswer: 2\/13, 1\/4, 0.6347, 14\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 175620\/(-48)*-6 + (-1)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/11))\/(h*h\/h**(-2\/9)*h)*h**(2\/23)\/(h**(-5\/6)*h))**1 assuming h is positive.\nAnswer: h**(-9655\/4554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 9*h - 38321800. What is h rounded to the nearest ten thousand?\nAnswer: 3480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2561 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1122828523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92 - -129. Suppose -5 + t = x. Solve x = 5*y - 3*d, -3*y = d - 2*d - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -0.6. Let h = -29.5 + 29. What is the closest to 0.1 in 4, x, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1236 (base 14) to base 9.\nAnswer: -4327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/7? (a) -11985 (b) 2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 540*o - 301322. What is f(558)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51116 + -51115.999929646. Round b to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*d. Suppose d = -r - 3*s + 14, 3*s = 6*r - 2*r - 26. Solve 3 - r = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 5*t**2 - 2*t**2 + (0*t + t**2 + 0*t)*(-3 + 0 + 2) + 3*t**2 - 3*t**2 + 2*t**2)*(-7283 + 7283 - 76*t**2).\nAnswer: -228*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - -83?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84279*a**3 + 84371*a**3 - 168671*a**3.\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13973.95*0.036.\nAnswer: -503.0622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368013.\nAnswer: 3, 61, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(2 - 3)*-1. Let o be (-75)\/228 - l\/4. Suppose 2*j - 191 = -193. Is j equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 10*m + 9. Calculate d(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 17) + 2 + (-1 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10010?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -555, -469, -385, -303, -223, -145?\n\"Answer: -n**2 + 89*n - 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1305180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 13*z + 7*z**2 - 2*z**2 - 3*z**2 - 9. Is p(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, t: 5, o: 3}. Give prob of sequence oe.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = -6. Suppose y*m = 0, -2*n + 2*m + 6 = -3*m. Let x(b) = n*b + 6 - 11 + 15. What is x(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 2*g + g)*(27*g**2 - 10*g**2 + 11*g**2).\nAnswer: -56*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3803997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13159657 and 483?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 2*j - 85. Suppose j*f - 94*f + 25 = 0. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v. Let n be 12\/(-18) + (-4)\/(-6). Let h(o) = -3*o + n*o - o + 5*o. What is c(h(u))?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**5\/12 - 5*b**4\/2 + 30*b**3 - 18*b**2 - 14. Let p(u) be the second derivative of o(u). Find v, given that p(v) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 20*r**2 + 25*r + 24. What is the units digit of f(19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 2:10 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64 in 8, 0.1, -4, 203\/86?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/(sqrt(120)\/sqrt(12)))**2 + -1*-5*sqrt(2))*-5.\nAnswer: -25*sqrt(2) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 1\/6 (b) 1 (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 145, 573, 1287, 2287, 3573?\n\"Answer: 143*s**2 - s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqd when three letters picked without replacement from qbbdbbdbqddbbdqqb.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26039 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3 + 14\/42. Let -1\/3 + 1\/3*z**2 + c*z = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4534 is divided by 4069.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Round 0.0057774234 to 6 dps.\nAnswer: 0.005777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 5*d**2 + 5*d + 7. What is o(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 44 (b) -0.3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 3*n - 5*n)*(1 + n + 1 + 2*n) + (0*n**2 + 3*n**2 - 2*n**2)*(-3 + 6 - 2) + 96*n - 96*n + n**2.\nAnswer: -n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.3 + 5. Let w be (-2)\/11 - (-1 + (-573)\/(-55) - 9). What is the fourth biggest value in w, -0.01, -9, i?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -4*w + 4*n - 8*n, 5*w + n = -53. Put -5, w, 4\/5 in ascending order.\nAnswer: w, -5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89480 divided by 3.\nAnswer: 89480\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1086 = 5*m - 1984. Suppose -5*w + m = 2*v, -v = 2*v + 4*w - 935. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 685, 589, 493, 397, 301?\n\"Answer: -96*r + 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 159, 87, -25, -171, -345, -541?\n\"Answer: i**3 - 26*i**2 - i + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 bigger than -0.0557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 366474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 4:41 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/23))\/v*v)\/v*v**(-1\/11)*v\/((v*v*v**15)\/v)*v*v**(-5)*v assuming v is positive.\nAnswer: v**(-4599\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 10*d - 19. Let s be o(-8). Let z(p) = -7*p - 18. Let b be z(s). Does 17 divide 15\/6*(37 + b\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by -2545.\nAnswer: -21\/2545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + -33 + -1 + 7.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b + a = 54, b - 59*a + 55*a + 27 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w + 2*w**2)*(-28*w + 28*w - 2*w**3).\nAnswer: -4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/7)*k)\/k)**(-1\/19)*(k*k**(-2\/13))**(2\/49) assuming k is positive.\nAnswer: k**(236\/12103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.4 - 5. Let h be 9\/(-21) + (-9)\/(-21). Suppose h = w - 4*w + 3*q + 21, -2*q - 16 = -3*w. Which is the smallest value? (a) p (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.927 - -0.90399. Round s to 3 decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*f = 62*f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20654223.\nAnswer: 3, 6884741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -106+-10239923764\nAnswer: -10239923870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.41592 and 1359.18221?\nAnswer: 1363.59813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2873124 and 5661?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159857311?\nAnswer: 159857311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22, -31, -36, -37, -34?\n\"Answer: 2*l**2 - 15*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*2*18\/15\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jprrduurjhujd. What is prob of picking 2 u and 1 j?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.283593 to 2 dps.\nAnswer: -1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035786949 rounded to four dps?\nAnswer: -0.0358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4267122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5214 and 158243478?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**8\/11200 - p**7\/1400 - p**6\/300 - 25*p**4\/12 + 5*p. Let m(y) be the third derivative of r(y). Let m(o) = 0. What is o?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 1, -3, 3678 in ascending order.\nAnswer: -3, 0, 1, 4, 3678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*v = -4, -5*p - 3*v + 7*v = -8. Suppose p*o = -o + 10. Solve o*s = 13 + 17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215a (base 12) to base 9.\nAnswer: 5027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 89196455 and -3.\nAnswer: -267589365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfffffffsffffsffff. Give prob of sequence sfs.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13773095.\nAnswer: 5, 7, 393517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.477776ml to litres.\nAnswer: 0.000477776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -23*o + 2. Let m be t(-7). Suppose -4*d - m + 1167 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wmuwwmwu?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + 2 + (sqrt(2736) + -2)**2.\nAnswer: -44*sqrt(19) + 2742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 230*l**2 - 117*l**2 - 117*l**2. Let p(q) = 16 + 8 - 24 + 2*q. Calculate m(p(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -114.\nAnswer: -113.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.096 - 0.104. What is the third smallest value in -3, 0.4, 3\/4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.83 + -43.\nAnswer: -48.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 f when two letters picked without replacement from {m: 4, h: 3, g: 1, f: 6}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-9)\/9 + -152. Let u = t + 157. Solve -u*l + 0*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 8*q + 11. Let c be m(5). Let y(x) = 2*x**2 + 8*x + 12. Let s be y(c). Calculate the highest common divisor of 36 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) -0.06 (b) 0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 32*r - 61. Let z(j) = -8*j + 15. Let o(u) = -2*v(u) - 9*z(u). Find the first derivative of o(b) wrt b.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 - -120. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y + 7. Let w be o(4). Let g = 15 + w. Suppose t = -4*d - d + 20, 2*t - g*d - 28 = 0. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -10*g + 61. Let k(c) = -8*c + 62. Let m(y) = -2*k(y) + 3*p(y). Let w be m(4). Suppose -2*i + 3*i = 6. Solve -w*x = -x - i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7655 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.565 to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 40411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 233392 and 464.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1573) + 4 - sqrt(1573)) + 0 + 3)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/159 (b) 6\/7 (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 3*b**2 - 2*b + 1. Let i be z(-3). Solve -4*w + i = -9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/17439840 and 137\/414.\nAnswer: 401116320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - y + 8. Calculate the remainder when 15 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23301204 (base 5) to base 10\nAnswer: 212679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 5*i = -6. Find the second derivative of -10*k**i + 18*k + 0*k - 10*k - 31*k**3 wrt k.\nAnswer: -246*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241325739 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 78053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*a + 16, -a + 25 = 4*p - 4*a. Suppose y = 5*s - 53, -3*s - p*y = -12 - 29. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 13. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.112307 and -8?\nAnswer: 0.898456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/899 and -24\/34349?\nAnswer: 30879751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {z: 1, g: 2, t: 1, w: 2, f: 1, d: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**5 - 180*k**4 + 2085*k**3 - 8590*k**2 + 14700*k - 9000.\nAnswer: 5*(k - 15)**2*(k - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 16 + 9 + 38*b**2 to the form x + y*b**2 + f*b and give y.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*d*p**2 + 2*d*p + 32*d + 3*p**2 - 6 wrt p.\nAnswer: -48*d*p + 2*d + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 13*n - 114. Give i(5).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6318 and 63909?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + i = -7, -i + 0*i = -5. Suppose 6*b = a*b - 171. Let j = b - -115. List the prime factors of j.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o - 153. Determine x(39).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 + 2*j**2 + 5. Let b(i) = -2*i**3 + 3*i**2 + 6. What is -4*b(h) + 5*v(h)?\nAnswer: -2*h**3 - 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 7:03 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 3*h + 2. Let z be b(8). Let w be (576\/(-27))\/((-2)\/6). Suppose -5*y + 3*f = -w, 2*f = -2*f + 8. What is the highest common factor of z and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011011001111 (base 2) to base 11\nAnswer: 4429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c + 2*c + (-8 + 5 + 15)*(-2 + 2 - 2*c))*(-5*c**4 + 2*c**4 + 2*c**4).\nAnswer: 23*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from uuuuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 352488 = 3*r, 0 = -4*q + r - 90489 + 560476. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*d**2 - 2092388*d - 57413455 wrt d.\nAnswer: 30*d - 2092388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82*w**2 + 567*w**6 - 4*w**4 + 4*w**4 - 94*w**6 wrt w.\nAnswer: 56760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*x - 2*x + 4, 5*x - 10 = -5*a. Let z(b) = -4*b. Let u be z(x). What is the units digit of 2*-2*u\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11868?\nAnswer: 2, 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19446, -155454, -524560, -1243296, -2428194?\nAnswer: -4195786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 (base 2) in base 16?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -501 (base 12) in base 5?\nAnswer: -10341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*y**2 + 0*y + 650\/9*y**3 + 2*y**5 + 0 - 328\/3*y**4.\nAnswer: 2*y**2*(y - 54)*(3*y - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0 + 0*m**5 + 1\/784*m**8 + 0*m + 0*m**3 - 1\/280*m**6 + 0*m**7 + 0*m**4 - 6*m**2. Factor s(j).\nAnswer: 3*j**3*(j - 1)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 176 = -3*t. Suppose -2*w + t = 5*u, -w = 3*u - 30 - 13. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 0)*(-55*n + 28*n - 44*n)*(1 - n - 1 + (0 + 5 - 3)*((2 - 2 + 1)*(0*n + 2*n + 0*n) + n + 0 + 0)) to p*n + i*n**2 + s and give i.\nAnswer: 1065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 3:39 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -183 - 14*s + 183 to p*s + y and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -112?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(2 + (-14)\/6). Let f be -2 + 20 - a\/(-3). Let z = -6 + f. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252098 by -1637.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 24. Let o be ((-144)\/30 + 6)\/((-9)\/(-60)). Suppose 4*q - o*q = 20*q. Give z(q).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7728 - -14?\nAnswer: 7743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**5\/10 - 3*n**4\/2 - 5*n**3\/6 + 43*n**2. Is j(28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5253351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102 (base 3) to base 9.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i - 123. Let p be f(32). Suppose 0 = r - p*k - 96 - 73, 652 = 4*r + 4*k. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/45 and -179\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62918 and 11966.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 3*g**5\/20 - g**4\/12 - g**3\/6 - g**2\/2 - 18*g - 3. What is j(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 633\/(-4220)*204\/153.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.061 + -1.061. Which is the closest to -2\/3? (a) q (b) 0 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 2, -1, -4, 13 in descending order.\nAnswer: 13, 2, -1, -4, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 50*t + 7. Is z(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 1 + 2\/(-3). Let h = 59\/308 + -3\/14. Let g = h - -3\/11. Which is the nearest to 1\/5? (a) -4 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 111632 and 10298052?\nAnswer: 41192208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 4*p**2 - 3*p - 1. Let o be u(-2). Let h be (-15)\/2*28\/o. Suppose -6*f - h = -598. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - d + 37, 1874*d = -3*m + 1879*d - 31 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132 - 75. Let o = m + -60. Is o + 1 - 0 - (2 - 1343) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0 - 4 = 0. Let u = 6 + -4. Suppose d + y*r = -d + 6, u*d - 30 = 4*r. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8*j - 46. Let s be l(-6). Let x(r) = -2*r**2 + 7*r + 3. Let f(a) = a**2 - 6*a - 2. Let t(y) = 5*f(y) + 4*x(y). Calculate t(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2040 and 952.\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70\/12723 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 + -536 + (29 + -5 - ((-3 - -9) + -4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (372\/3565)\/((-12)\/25*335\/(-201))?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12969864881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1248772, 5, -3 in ascending order.\nAnswer: -3, 5, 1248772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 907872.9.\nAnswer: 907874.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.96395681 rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21b14 (base 16) to base 5.\nAnswer: -13404004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g + 44 = 0. Let m(a) = 1 - 20*a - 1 + g*a. Let l(v) = 10*v. Calculate l(m(u)).\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-40) - -12*(-22)\/(-352). Find o, given that -4\/5*o**3 + 0 + m*o**2 + 0*o = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1)\/((f*(f\/f**(-22))\/f*f)\/f)*(f**(-6))**(-9\/11) assuming f is positive.\nAnswer: f**(-210\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1852*j*l**2*o**2 - 8*j*l*o**2 + 5697*l**2*o**2 + 13*o**2 with respect to j.\nAnswer: 1852*l**2*o**2 - 8*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 10*j**2 + 2. Let g be o(-10). Let m be (3 + 0)*(g - 1). Suppose -13 - 47 = -m*n. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1405 - -1627. What is the highest common factor of g and 518?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31000 + 1?\nAnswer: 31001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1, -69.2, 0.4, 2\/3, -2\/9, 46?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(8\/5)*f**(-5)*f)\/(f\/(f\/f**0))**(3\/5) assuming f is positive.\nAnswer: f**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1000974 and 85449?\nAnswer: 7006818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 + 38*k**2 + 156*k + 963. Let r be y(-16). Factor 0 + x**5 + 4\/9*x**2 + 7\/3*x**4 + 16\/9*x**r + 0*x.\nAnswer: x**2*(x + 1)*(3*x + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (3 - 6) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -457.21 * -1\nAnswer: 457.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 0.01, -130 in increasing order.\nAnswer: -130, -2, 0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - x - 3*x + 60 = 0, 2*x = -2. Let v be (n - 1)*16\/12. Calculate the highest common divisor of v and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1094*y - 1096*y - 2*d + 30, y - 3*d = -5. What is the greatest common factor of 8590 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/96)\/(300\/(-540))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 2*v**2 + 11*v + 8. What is r(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 1\/3 (b) -1 (c) 4 (d) -10 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 449743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1201 + -10001?\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*d = -1864, f - 2*d = 70 + 1804. Suppose -23*t + f = -18*t. List the prime factors of t.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 95110 in descending order.\nAnswer: 95110, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/42 - 12064\/(-1218). Let f(o) = -6*o + 58. Calculate f(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**3 - 3*j**2 - j + 3. Determine v(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**4\/8 + n**2. Let v(s) = -16*s + s**2 + 16*s + 3. Let j(a) = -1. Let p(g) = -3*j(g) - v(g). Give f(p(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*k**3 - 6*k**3 - 7*k**3 + (-11*k + 0*k + 5*k)*(3*k**2 - 4*k**2 - k**2).\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 12) to base 15\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6012 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -9.7. What is the second biggest value in j, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86\/16211*(-48 + 61)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 0*o + 3. Let y = -269 + 284. What is the least common multiple of o and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 13 in decreasing order.\nAnswer: 13, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 + t**2 + 4*t + 3. Let m be j(-1). Let w = m - -3. Solve w*v + 4*x = 16, 5*v - 15 = -5*x + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 1:26 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, -2, -2\/5195?\nAnswer: -2\/5195","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 890 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o**2 - 32*o + 53. Let i(h) = 4*h**2 + 16*h - 26. Let z(u) = 11*i(u) + 6*m(u). Determine s, given that z(s) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jujhhrrujsrsu. What is prob of picking 1 j, 1 h, and 1 s?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 74, 109, 158?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.33 + 3.67. Which is the nearest to 0? (a) 5 (b) -4\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*n**6 + 167*n**2?\nAnswer: 3120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -50*b**2 - 31*b + 100. Let l be s(6). Let c be l\/(-138) - 2*6. Find u such that 0 + 0*u + 5\/3*u**2 + c*u**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 33*b - 10023. Give y(303).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1357, -1899, -2795, -4039, -5625?\n\"Answer: w**3 - 183*w**2 - 1175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 13*v**2 + 22*v - 25. Give y(-11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 4*w**2 + 7*w + 2. Calculate the remainder when (-43)\/(-2) + 2\/36*9 is divided by c(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18142 - 18305. Are -106 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62\/21 - -16\/7. Let j = 7 - -1. Let w = 7.8 - j. Which is the biggest value? (a) w (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -35*y - 21. Let r be k(-4). Does 17 divide (-34)\/r - (-1 + (-828)\/7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2090 and 59\/76.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 176 + 178 = 0. Suppose -4*m - r = -272 - 2156, -b*r + 3038 = 5*m. What are the prime factors of m?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239066526 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*d - 24 = -65*d. Solve 10 = -d*h + 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 9*q**2 - 13*q - 10. Give u(11).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -7. Let p(y) = y**3 + 5*y**2 - 8*y - 3. Let j(z) = z + 1. Calculate the remainder when p(c) is divided by j(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 19 - 6035\/255.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323346 (base 7) to base 9.\nAnswer: -85363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7165?\nAnswer: 5, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwnwwwnwwwwnnwnwwww. Give prob of sequence nww.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 428, 840, 1276, 1736, 2220, 2728?\nAnswer: 3260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-3\/2)*s\/s**(1\/70)*s**(1\/2)\/s*(s*s**(-3\/32)\/s*s)\/s assuming s is positive.\nAnswer: s**(3239\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/((-594)\/11))\/(4\/(-18)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 5478*t - 5481.\nAnswer: 3*(t - 1)*(t + 1827)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 12 = -10*m. Let j be (5 + (-1674)\/1)*m. What is j rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58610743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 139491 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: In base 12, what is -11126 + -12b?\nAnswer: -11255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-288)\/30)\/(14\/(-3010)). Is x at most 2064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6900 = 4*q + q - 4*c, -5*q = -5*c - 6895. Let g be (-10)\/15 + q\/6. What is the units digit of (-1)\/(-2*5\/g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**4 + s**3 - s**2 - s - 1. Let k = 26 - 25. Let f(m) = 243*m**5 + 84*m**4 - 165*m**3 - 123*m**2 - 30*m. Let v(u) = k*f(u) + 3*c(u). Factor v(o).\nAnswer: 3*(o - 1)*(3*o + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2258 + -205. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 1290*p**2 - 30195*p - 169400.\nAnswer: 5*(p - 280)*(p + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59 and 649.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 4*n + n)*(473 + 168 + 1435 - 78 + 7).\nAnswer: 6015*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 3*o - 5*o)*((-5*o**2 - 6*o + 6*o)*(2 - 1 - 2) + o**2 + 4 - 4).\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10739 divided by -5\nAnswer: 10739\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 8*g. Let b be n(-8). Suppose 3*x + 4*j - 6 = b, -4*j - j + 8 = 4*x. Suppose -x*t + 0*s + 2 = -2*s, 1 = -4*t - s. Solve 6 = -t*z - 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 3. Suppose b*d = -4*d. Suppose 3*x - 4*x + 7 = 5*z, x + 1 = -z. Sort -4, z, d in ascending order.\nAnswer: -4, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 4*n**2 - 4*n - 5. Suppose 2*u - 4*w - w - 18 = 0, 39 = u + 5*w. Suppose 0 = 18*g - u*g - 7. Does 56 divide h(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 203646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767 is divided by 50?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -25*u + 29*u - z, -2*u + 2*z + 2 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9294\/91 at most as big as 101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 + 56. Suppose 3*q = 2*x + 14, -b*q + 0*x = -5*x - 28. Factor 0*p**q + 0*p + 2\/3*p**5 + 0 + 2\/3*p**4 - 4\/3*p**3.\nAnswer: 2*p**3*(p - 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -750.4505 + 750. Let d = -0.3112 - f. Let y = d + -0.14. What is y rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2768 a factor of 17687520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 2\/17, -0.07, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19143267 and 143715.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89182 is divided by 22282?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 525297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/561 and -97\/4573068.\nAnswer: 50303748","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -63717.597 rounded to the nearest 1000?\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20806 + 12270 = 22*k - 505230. Is k a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1522, -3027, -4534, -6043, -7554, -9067, -10582?\n\"Answer: -d**2 - 1502*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 31216, 31204, 31226, 31300, 31444, 31676, 32014?\n\"Answer: 3*h**3 - h**2 - 30*h + 31244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152494090 and 1074590.\nAnswer: 1677434990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29205, 57775, 85097, 110547, 133501, 153335, 169425, 181147?\nAnswer: 187877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 672 = 4*g. Let o = g - 70. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/4)\/((-7)\/(-2478)))\/(60\/(-6000)*75).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(16\/12)*(-12)\/9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-1 + 4 - 8) + 13)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**3\/2 - 6*c**2 - 172*c. Suppose 3*a - h = 19, -24 = -4*a + 3*h + 8. What is l(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/39 + (-100)\/(-26). Suppose c = -k*c + 50. Suppose -c*h - 63 = -1673. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20222111 (base 3) to base 11.\nAnswer: -3907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 39 - 297 = c, -c - 131 = g. Let h = g - -213. What is the remainder when h is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 2*k + 0*k**2 - 1\/4*k**4 + 0 + 0*k**5 + 0*k**3 + 1\/30*k**6. What is the third derivative of r(q) wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.24 - 31.\nAnswer: -31.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**3 - 423*l**2 - 3579*l - 19. Determine r(-9).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b + 12*b**2 + 26*b + 390845.\nAnswer: 12*b**2 + 390845","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.06 less than -51.1?\nAnswer: -50.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - t + 6. Let j be -1 - (-2 - -2 - 1). Let l = -3 + j. Let a = -3 - l. What is y(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9 + 1.7. Let c = -36 - -36.3. Sort -28, c, -2, f.\nAnswer: -28, -2, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - n**3)*(-2*n + n + 2*n) + 13*n + 2*n**4 - 13*n as s*n**4 + p*n**2 + m*n**3 + h*n + d and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78*m**2*o**2 + 12879*m**2 + 3*o**3 + 14*o**2 wrt o.\nAnswer: -156*m**2*o + 9*o**2 + 28*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 2*m - 35, 131*m - 130*m + 4*v = -113 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 583036102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -66, 1\/5, 0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -3*i**8\/112 + i**6\/20 - 2*i**5\/45 + i**4\/72 - i**2. Factor q(b).\nAnswer: -b*(b + 1)*(3*b - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-197*o - 330*o - 140*o)*(3*o**4 + 3 - 3).\nAnswer: -2001*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 5. Let h be (-2 + 0)\/(1\/(-2)). Let m(o) = -1. Let v(l) = 4. Let w(c) = -5*m(c) - v(c). Let d(y) = h*w(y) + f(y). Calculate d(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2939 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 2. Let u(o) = -o - 1. Let r be u(-3). Which is the third biggest value? (a) y (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*15\/(-2 - 1). Sort -2, a, -13 in decreasing order.\nAnswer: a, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/4458 and (-660)\/(-432) - -1 - (-4 + 1 + 3)?\nAnswer: 26748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b + 2*b + b - 503208 + 503208. Let z(a) = -9*a**2 - 5*a. Let g(p) = -13*p**2 - 7*p. Let i(r) = 5*g(r) - 7*z(r). Determine i(y(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -164 + -411439820 - (3 + 13). What is j rounded to the nearest 1000000?\nAnswer: -411000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.92 and -0.4?\nAnswer: 0.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-2 - 0) + 6 + (-16 - 27)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + 0. Suppose 0 = 2*r + q - 86, -q - 4 = -0*q. What is the remainder when r is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1686 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (19 - (-4 + 9 + 0 + 4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (177\/57 - (-2 + 1))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbm when three letters picked without replacement from kvbpmbb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54621 is divided by 27305?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 220466*c**4 - 6693*c.\nAnswer: 2645592*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2368 - 2365. Which is the biggest value? (a) -0.145 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 97 = 112 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3817 is divided by 1329.\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 times -1.16?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81540 and 240?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35298450 and 3450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3852 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 4*j**2 - j. Let c be h(4). Let f be (-1*2)\/(2\/c). Let q(o) be the first derivative of o**4\/4 - 5*o**3\/3 + 3*o**2\/2 + 3*o + 62. Give q(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470159?\nAnswer: 37, 97, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*u - 15, 4*u - 2*a - 3 = -a. Suppose 0*r + r + 51000 = u. What is r rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five eighths of a litre in millilitres?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 + (-3140)\/(-80))\/(12\/64).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/13, -3081, -1\/2, 2\/97, 4?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 23737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154110 and 1320.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*n + 29, h + 4*h - 62 = 2*n. Differentiate 9 + 1 + h - 11*z - 7 with respect to z.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 + 98. Let b = -37.036 + z. Round b to 3 dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -7*k**4\/8 - 11*k**3 - 38*k**2. What is the smallest common multiple of 9 and m(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16368 + -16369. Is 7.328 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 14. Solve 3*k = i*c, 2*k + 0*c = 3*c + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5593557 and 3963171.\nAnswer: 5127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**5\/30 + 2892*m**2. Let a(h) = -5*h - 7. What is q(a(g))?\nAnswer: -50*g**2 - 140*g - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 26*l**2 - l**3 - 1 + 26*l**2 in the form u*l + q*l**3 + v*l**2 + s and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20594 (base 13) to base 7\nAnswer: -331232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-555)\/370)\/(-5 - (2 + -1))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 - 25 = 76*q + 28 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62129611?\nAnswer: 17, 31, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 7*q + 18. Let m be v(-8). Suppose 3*x + p = -2*p + m, -4*p = -4*x + 640. What are the prime factors of x?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 164567 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 - 124\/(-7). Suppose 2*o - k = -0*o. Let g(p) = -p**3 + 8*p**2 + 12*p - 8. Does 10 divide g(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**2 - 105*a - 77. Let m be s(27). Solve 0 = -4*q - 5*z + z - 4, 10 = -m*q - 2*z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 7590*m + 7595.\nAnswer: -5*(m - 1)*(m + 1519)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3991834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*a**4 + 39500*a**3 - 19503125*a**2.\nAnswer: -5*a**2*(2*a - 1975)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 3*r - 9. What is j(-7)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 8*o**2 - o + 36. Let z(d) = -27*d + 5. What is the remainder when z(-5) is divided by k(0)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 25 = 83. Let v(m) = -4*m**3 - 2*m**2 - 4*m - 3. Let s be v(-2). Let u = 38 - s. What is the highest common factor of a and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -1023320132?\nAnswer: -1023320133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -21\/4 (b) 13.2 (c) 2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 460900 to the nearest 10000.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwshssbdbssssbwbdds. What is prob of picking 1 d and 2 b?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2875, 3044, 3305, 3658, 4103, 4640, 5269?\n\"Answer: 46*y**2 + 31*y + 2798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 9:19 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(45) - sqrt(180)\/sqrt(4)))\/(sqrt(225)*-1) + -2 + (sqrt(50) + 5*sqrt(1250))\/sqrt(10).\nAnswer: -2 + 26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 448*h**3 + 5*h**2 + 171*h + 5. Let v(s) = 224*s**3 + 2*s**2 + 77*s + 2. Determine -2*g(n) + 5*v(n).\nAnswer: 224*n**3 + 43*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -422, -0.2, -1\/7, -0.026, 4?\nAnswer: -422","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -41965.48 - -30835\nAnswer: -11130.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 581 or 586?\nAnswer: 581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*m - 12 = -2*m, -2*m = 4*w - 12. Suppose q - 100003 = w*c, -5*c = 5*q - q + 249988. Round c to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33624 is divided by 590.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b - b + 4*b)*(-3 + 3 + 3)*(75 - 71 - 161) + (3 - 1 - 1)*(-2*b - 3*b + 4*b) in the form g + s*b and give s.\nAnswer: -943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + 3*q - q)*(7*q + 2*q - 5 - 12*q).\nAnswer: -21*q**2 - 35*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, 30\/17 in decreasing order.\nAnswer: 30\/17, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102286 is divided by 187?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 3837.3813574?\nAnswer: -3838.3813574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1392*k + 1392. Let o be g(-1). What is s in 2\/3*s**2 - 2\/3*s**4 - 4\/9*s + o - 10\/9*s**5 + 14\/9*s**3 = 0?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -509*c**2 + 605 wrt c.\nAnswer: -1018*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56654 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - -1 - (-3)\/6*28. Solve n*s + 6 = 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ad0 + 224?\nAnswer: -8ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 1011 - 29*v**2 + 7*v**2 + 4*v + 22*v**2 - v**2 in the form a*v**2 + g + l*v and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, 657\/49, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(0 + 1\/4). Let p = -0.4 - -0.1. Let y = -0.2 + p. Which is the nearest to g? (a) -2 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3597375046 to the power of 1\/3, to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**5 + 252*z**4 - 260*z**3 - 252*z**2 + 256*z = 0.\nAnswer: -64, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -315 - -0.13\nAnswer: -314.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 246044978 + -479049561088\/1947. Let g = n + -232\/59. What is the common denominator of -76\/33 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-39)\/(20\/(-35) + (-1)\/(-14)) + 1. Calculate the highest common factor of b and 4029.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 68.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1287, 5160, 11617, 20658, 32283, 46492?\nAnswer: 63285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1450122 - -313?\nAnswer: -1445405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otooniuiiooo. What is prob of picking 1 o, 2 n, and 1 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) 2 (c) -2050\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*d**4*s**3 + 54146*d**4 - d**3 + 3458*d**2*s**2 - 729*d*s**3 wrt d?\nAnswer: 816*d*s**3 + 1299504*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 23*l**2 - 24*l - 23. Suppose -4*i = -5*y - 98, -119 = y + 4*y + 3*i. Calculate b(y).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 3*y**2 - 3*y + 2. Let m = -5 + 9. Calculate the remainder when 22 is divided by l(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let j = 124 + -211. Let p = j - -88. What is the nearest to g in -5, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11132 * -0.5.\nAnswer: -5566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -30\/13 (b) -6 (c) 1\/7 (d) -112\/3 (e) 3.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 20 = 5*b, 2*b + 2*n + 303 = 311 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w. Suppose -76*r = -88*r + 708. Suppose -2*m - 63 + r = 0. What is f(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*y - y + 108 = 0, 0 = -5*g + 4*y + 176. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 + -27 + 40 + (13 - -2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 13 = 4*a. Let r be 12\/60 + (-29)\/(-5). Suppose -3*t - 30 = -4*p, -r*p = -2*p + a*t - 44. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 7:24 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -10. Suppose d*u = -3*s + 12, 20 = 5*s + 5*u - 3*u. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -20*k + 70 + 87 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 9:40 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1658 - 27.4058. Let j = m - -27. Let g = 0.34 + j. What is the closest to g in -0.5, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 960\/(-18)*(0 - 1875). What is c rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11896\/237 + -3860\/79. Find h such that 0 + 0*h - 1\/6*h**5 + v*h**3 + 0*h**2 + 7\/6*h**4 = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 131 = -5*y, 4*m - 200 = 5*y + 33. Suppose -g + 104 = 4*s, -2*s - g = -6*g - m. What is the remainder when s - -4*(-4)\/16 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*c - 1312 = -8*s, -3*s - 4*c = -792. What is the remainder when s is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 463, -0.46, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9))**(-11)*(f\/(((f**(-13)\/f)\/f)\/f)*f)\/(f\/((f**(3\/11)\/f)\/f)) assuming f is positive.\nAnswer: f**(1257\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 14*d**2 + 14*d + 17. What is the smallest common multiple of p(15) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 3) in base 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-27)\/(-12))\/3)\/((-4)\/16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(57)\/sqrt(3) + -2 + sqrt(38)\/(2*sqrt(2)) + 3 + 5*sqrt(19) + 6*sqrt(19)*-2)**2.\nAnswer: 11*sqrt(19) + 2303\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**3 + 189*m**2 - 13*m + 861. What is the remainder when 9038 is divided by k(63)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-g + 0*g - g)*(-3 + 4 - 3) - 2*g - 1 + 1)*(201 - 226 - 200 - 180) as o*g + t and give o.\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-180)\/(-78) + 609\/91 + -7. Solve 5*n - 10 = o - 0, 0 = i*o - n - 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 0.3 (c) -0.05 (d) 6 (e) 30\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-10)\/(-25)) + 8. Let m(u) be the third derivative of 0*u + 0*u**t + 0 + 5*u**2 + 3\/8*u**4. Let n(i) = 2*i. Give n(m(b)).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (5\/50)\/((-9)\/(-630))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 22 = -4*h - 3*c, 2*h - 3*c = 0. Let m(g) = g**2 - g - 2. Let s be m(h). What is the greatest common factor of s and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 55?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 21974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 47, 149, 343, 659, 1127, 1777?\nAnswer: 2639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(4*5\/40). Let b be (-4)\/v + -2 + 4. Sort 3, b, -2.\nAnswer: -2, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492 is divided by 71.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/8 and 47\/420.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42.1 + 423.1. Is u > -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*o + 11 = 0, -4*o + 7 = 3. Let y be 5 - (8 - l) - -1. Let v = -80 - -561\/7. Which is the fourth smallest value? (a) -2 (b) -3 (c) v (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16471135*s**2 + 16471142*s**2 - s - 49413432*s**2 + 16471137*s**2.\nAnswer: -18*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*h + 206*h - 64*h - 65*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 111 = -2*c, 41 = 4*c + y - 126. Is c a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 60460 - -24?\nAnswer: 60514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u**2 - 4. Let z(f) = -6*f**2 + 2*f + 3. Let x(i) = 3*t(i) + 2*z(i). Is x(-6) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 12 - (5 + (0 - 1) - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009426 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 11*v + 2. Let n(o) = -o + 1. Let l(x) = -4*n(x) - r(x). Let u be l(-6). Let f = 16255 - 16249. Solve u = -c + f*c - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d**2 - 14*d. Let t(u) = 9140*u. What is t(x(h))?\nAnswer: 63980*h**2 - 127960*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7)\/(t\/t**1*t)*t**(-10)\/t*t**8)**20 assuming t is positive.\nAnswer: t**(-520\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8642 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8.9*10098\nAnswer: -89872.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 5447\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 5*g + 107, g - 31 = 74*f - 76*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (10 - 15) + (1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -0.02, -683222 in ascending order.\nAnswer: -683222, -3\/8, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3476 and 4146802?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.098318 and 0.3?\nAnswer: 0.0294954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.37 and -2.9.\nAnswer: 9.773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z**3 - 48*z**2 + 7*z - 8. Let r be v(8). Solve 0 = -2*m - 10*m - r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {g: 3, t: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 807868, 1615725, 2423582, 3231439?\nAnswer: 4039296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, -21, -118, -247, -402, -577?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 - -35. Let h be (11 - s) + (5 - 1). Does 10 divide (h\/40)\/((-1)\/(-100))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/395373 and 7\/132.\nAnswer: 1581492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z + 124. What is the remainder when z is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 2*w**2 - 3 + 4 - w**3 + 4*w**2. Let s be x(2). Is 3 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -185.2 (b) -5 (c) 1 (d) 2.5 (e) -298\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18987601 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46843360973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 17, 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 1:34 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 36 - 34 = 0. Let d = w + -12. Sort d, -6, -1 in decreasing order.\nAnswer: d, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 104042429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, -1, 664, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 8*v - 8. Let d be b(8). Let j be 170\/d - 6\/8. Let l = j - -33. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -557 - -8919\/16. What is the common denominator of -31\/18 and h?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - s. Let g(c) be the first derivative of c**4 + 4*c**3\/3 + 4*c**2 - 3*c - 2. Let k(d) = g(d) + 5*n(d). Give k(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22380 and 262965?\nAnswer: 1051860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 9:26 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23081*l - 45564*l + 22483*l + 10*l**2 + 5*l**2.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*2*(-75)\/25.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 3*l + 3. Let k(m) = -5*m**2 - 17*m - 17. Let u(w) = -34*h(w) - 6*k(w). Let d(v) = 7*v. Give d(u(t)).\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(245) - (sqrt(245) - -2*sqrt(245)))\/sqrt(7))\/((-2*sqrt(30))\/sqrt(6)) + -2*((sqrt(252) - sqrt(252)*1) + -3))**2*-2.\nAnswer: -88 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 6, b: 5, r: 2, l: 3, f: 3}. Give prob of sequence ze.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 210210100122010?\nAnswer: 210210100122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13310 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*c - 119, c + 25 = -x + 2*x. Solve 35 = x*b + 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-27)\/18)\/((-77)\/132*(-4)\/14). What is the closest to 1\/4 in f, -4, 19, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -5\/3 (b) 1\/2 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 3*a - 3*a)*(-4*a + 33 - 33)*(13 + 5 - 11).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(0 + 10\/6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 3\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/5)\/(22\/(-11))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.18989 and 44.\nAnswer: 8.35516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380326.\nAnswer: 2, 397, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21026500 (base 7) in base 13?\nAnswer: -4a0635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 240 = -18*m. What is the tens digit of (m + 2 + -4)*(-90)\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*k - 2124*k**2 - 2117*k**2 + 37*k + 4239*k**2.\nAnswer: -2*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z**3 - 2*z**2 + 2*z + 5. Let t(l) = -l - 1. Let f(d) = 6*t(d) + w(d). Let a be f(-3). Calculate the greatest common divisor of a and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 529 - 533 + v - 10*v. Let s be t(9). Let z = s + 136. What are the prime factors of z?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 8:31 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 826 and 93889414.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 10 = -0*o + 4*o, -4*u = -4*o - 24. Let r = 32 - o. Suppose -3*t - t = -r. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -7. Let y be 22\/n + (-1)\/2. What is z in 6\/7*z**3 + 0 + y*z**4 + 2\/7*z + 6\/7*z**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 4*s**2 - 3*s + 3. Let l be i(3). Find the second derivative of -7*d**3 + 7*d**l + 2 - 40*d**3 + 13*d wrt d.\nAnswer: -240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -978 + 1035 + (3 - 36) - (65 + -1).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.201 - -5.201. Let w = -1.7 - -1.7. What is the nearest to -0.9 in 3\/2, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + sqrt(432) + (-2 + sqrt(432))**2.\nAnswer: -36*sqrt(3) + 435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3\/3 + 1208*s**2\/3 - 2378*s\/3 - 6020 = 0. What is s?\nAnswer: -3, 5, 602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 5*p**4\/24 + p**3\/6 + 8*p**2. Give i(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104 and 282.\nAnswer: 14664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 658*p - 658*p + p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 31. Let y = 0.05 - 0.35. Let k = -0.26 - y. Which is the third biggest value? (a) h (b) k (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*x - 499*x = -203*x + 557*x + 21984 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -58 times 1.178\nAnswer: -68.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/(-10) - (-2)\/(-5). Let v(d) = 5*d**3 - 3. Let k(t) = -3*t**3 - 3*t**3 - 4302 + 2*t**3 + 4304. Give y*k(r) - 2*v(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -7. Which is the third smallest value? (a) m (b) -4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -247920 by 49584.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -18\/5 (c) -2\/3 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0211980217 to 2 decimal places.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -137\/2425 or -1?\nAnswer: -137\/2425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2\/7, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.64 + -1899372293.\nAnswer: -1899372293.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 8:28 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-1))\/(-5)*2\/6*-11\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1148394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7464, 2, -2\/5, 2\/3, -0.12?\nAnswer: 1\/7464","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 89*b - 96*b + 56. Solve 2*q = 10, -b = m - 5*q + 15 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*v + 50*v + 122. Put -1, v, -4, 9 in increasing order.\nAnswer: -4, v, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16921 is divided by 60.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*((sqrt(26)\/sqrt(32))**2 + 4) + 2 + 1*sqrt(1300) + sqrt(1300) + (sqrt(1300) + ((sqrt(1300) + 1 - sqrt(1300))*-3)**2 - sqrt(1300))).\nAnswer: -20*sqrt(13) - 99\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-156)\/(-210) - 3\/5. What is the third biggest value in g, -0.7, 3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**6\/15 - 79*p**4\/12 - 337*p**3\/6 - 18*p - 18. What is the second derivative of l(k) wrt k?\nAnswer: 24*k**2 - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133 - 59. Let h = i - -191. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + d**2 - d**2)*(28 + 216 + 125 - 2*d).\nAnswer: -2*d**3 + 369*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 23*u**2 - 31*u - 31. What is the units digit of f(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 7568 + 998. Let x be (-4)\/14 - i\/(-21). Suppose l + 17 = y, 0*y + 5*l = 2*y - 46. What is the highest common divisor of x and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 - 6*r**2 + 2*r**4 + 0*r**4 - 3*r**4 as d*r**3 + t*r**4 + v*r + z + p*r**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)*w\/(w**(-6)*w))**(-33) assuming w is positive.\nAnswer: w**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16515155 (base 8) in base 16?\nAnswer: -3a9a6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.55187 (b) 0.3 (c) -3 (d) -74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9510\/((-66253)\/209)*(-1 + 6\/5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*2*(2 - 0). Suppose -2 - 6 = -c*z. Suppose -5*u + 6 + 7 = 4*m, 0 = -u + 1. Solve -q + m*a + 7 - z = 0, 4*a = 4*q - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/10 of a hour?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32568868 or -32568864?\nAnswer: -32568868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in decades?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*x - 108*x - 40381 = -4*d, d - 5*x = 10084. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 560 = -5*a, 3*a - w - 37 = 293. Let h = a - 75. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -568838577 + -3919.\nAnswer: -568842496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 44183 (c) -2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 3 = -3*q + 2*h, 5*h + 15 = 5*q. Let d be (-8)\/((-144)\/78) + (-4)\/(-6). Suppose d*m - 13 + q = 0. Which is the closest to -1? (a) 25 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 363095, 726200, 1089305, 1452410, 1815515?\n\"Answer: 363105*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/171 and 8\/11017.\nAnswer: 1883907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*(-6*-1*sqrt(7) - (sqrt(49)*-1)\/sqrt(7)).\nAnswer: -70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 8*y - 4. Let g(a) = a**3 + 6*a**2 + 6*a. Let q be g(-4). Let l be t(q). What is the remainder when (3 + l)*0 - -17 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101110011 (base 2) in base 10?\nAnswer: -1907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*b = -b, b = 2*f. Let j = 116 - 112. Suppose j*h - 2*m - 2 = 0, h - 2*m - 18 = 5*h. Sort f, 24, h in decreasing order.\nAnswer: 24, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -9*z**2 - 2*z + 1. Let y be r(1). Let t(w) = 182*w**3 + 11*w**2 + 12*w + 20. Let g be t(y). Round g to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4 - 295707*c**3 + 598953*c**2?\nAnswer: 24*c - 1774242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 29. Suppose -3*f = -4*d + 13, 0*f - f - 2*d + 9 = u. Let y be (f\/(-3))\/((-16)\/48). Solve v + y = -0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 3*r**2 + 2. Suppose 5*t = 4*p - 11, t = -5*p - 11 + 3. Let i be d(t). Let x(c) = c**2 + i*c**2 - 2*c**2. Determine x(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 0*h**2 - 1\/30*h**6 + 31\/10*h**5 + 142*h + 0 - 1\/6*h**3 + 0*h**4. Find the second derivative of y(z) wrt z.\nAnswer: -12*z**2 + 372*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149 - 5 - 24 + 2*m - 5*m.\nAnswer: -3*m + 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 5. Let k be h(-10). Sort k, -2, -4, -1 in decreasing order.\nAnswer: -1, -2, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 223920 + -223918. Let g = 10 + -6. Which is the nearest to 0.1? (a) g (b) -2 (c) h (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.1 (b) -10 (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/16)\/(35\/60). What is the nearest to -2 in t, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -2335003?\nAnswer: 2335001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.31 - -1.81. Let f = -11.1 + 11. What is the biggest value in s, f, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 8*k - 52. Suppose 154 - 69 = k*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2 - (-50)\/24). Suppose 0 = -2*g - x - 4*x + j, 4*x - 61 = -3*g. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*z - 360 + 22, 468 = -4*z + 3*w. Let q = -69 - z. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 - 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*y = 83*y - 60 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 217*i + 2197. Let x be n(-10). Solve -t + 13 = 2*s, 7*t - 5*s = 4*t - x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170135, -170851, -172043, -173711, -175855, -178475, -181571?\nAnswer: -185143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1843 + -253. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -123, -73, -25?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3407415 months to millennia.\nAnswer: 0.000028395125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2476246.\nAnswer: 2, 127, 9749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49277.38kg in nanograms?\nAnswer: 49277380000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 380775 and 12530.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**3 + 2*f**3 - 7 - f + 8*f**2 + 2*f. Suppose -3*p + 2*c + 0 = -22, -4*p + 4*c + 32 = 0. What are the prime factors of j(p)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-5))**(4\/31)\/(n*n\/((n*n**(-10\/7))\/n)*n**(1\/20)))**(1\/26))**(-20) assuming n is positive.\nAnswer: n**(17897\/5642)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9251 + -6981. Which is smaller: s or 2269?\nAnswer: 2269","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 (base 8) in base 12?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 - r**2 + r**2 + (r**3 - 4*r**3 + r**3)*(-4 + 0 + 0).\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 865*s**4 - s**3 + 6446*s + 2 wrt s?\nAnswer: 10380*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 + 8*l + 26 in the form a*l + r and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/13030370?\nAnswer: 1\/13030370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**5 - 300*j**4 - 324*j**3 + 1532*j**2 - 912*j = 0. Calculate j.\nAnswer: -3, 0, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r**(4\/3)\/r)\/r)**(17\/6)\/(r*r*r\/r**2*(r*((r\/r**11)\/r)\/r)\/r))**(-25) assuming r is positive.\nAnswer: r**(-5375\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a74 - 3d?\nAnswer: a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 7*c + 12 = -11*c, 0 = -7*c - 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1284*h - 693*h - 4 - 12 + 4829*h + 5.\nAnswer: 5420*h - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8 = 0, -34*z - 2*r + 4 = -37*z. Suppose 33*u - 25*u - 864 = z. What is the remainder when u is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 3*l - 32. Let p = 21 + l. Let u = p - 11. What is the smallest common multiple of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*k + 54*k + 0*o + 66 = -o, 3*k = o + 61 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 193, 1279, 3267, 6157, 9949, 14643?\n\"Answer: 451*b**2 - 267*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1352 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 9*a + 17)*(2 - 1 + 0 + (3 - 4 + 3)*(2 + 0 + 0) + 3 - 2 - 2)*(-a**3 - a**3 + a**3) to h*a**3 + l*a**2 + z*a**4 + f*a + n and give z.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 50 in descending order.\nAnswer: 50, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**6\/36 + 193*x**5\/72 - 245*x**4\/3 + 80*x**3 + 165*x**2. Factor u(h).\nAnswer: -5*(h - 24)**2*(4*h - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -2, -16, 1 in descending order.\nAnswer: 3, 1, -1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -5. Suppose 68 + 72 = 4*c. Suppose 5*l - c = -a. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 23*m - 20*m + 21, -4*w - 1 = -3*m + 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-21) + (-688)\/7. Let o be (-23)\/(-115) - b\/10. Solve -3*k - 1 + o = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z - 1. Let g be v(-1). Let b = -11 + g. Let x be 1599996\/b - 2\/4. What is x rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.03 + 0.17. Round p to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 133632 and 38016.\nAnswer: 4409856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 + 6*r**2 - r**2)*(5*r - r - 5*r) in the form c + a*r**3 + h*r**2 + j*r and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v*v\/(v*v**(-1\/9)))\/v))\/v**(-3)*(v**(-2\/27))**(28\/5) assuming v is positive.\nAnswer: v**(334\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 356949 to the power of 1\/2, to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 290, -2\/47, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -10 + 4 - 10, -4*g + 4*i - 24 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 781*c + 13135 + 10696 = 9773 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-2*6)\/(2*sqrt(216) - sqrt(6) - sqrt(6)))\/((sqrt(160)*-2)\/(4*2*sqrt(5))).\nAnswer: 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 + -338?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - z**2 + z. Let u be n(0). Suppose 5*l + 3 + 27 = u. Let y = -6 - l. Is y at most as big as -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3272*t**3 + 2*t**2 - 13868*t**3 - 2*t**2.\nAnswer: -17140*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from beqqqaqxqdqbqqq. What is prob of picking 1 e and 1 a?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2 - 35*j - 169. List the prime factors of y(-25).\nAnswer: 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356 a factor of 57307272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 89.43548 days in nanoseconds?\nAnswer: 7727225472000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 42 = 2*j. Let s be (-6)\/(-2) - (3 + j). Let r = 24 - s. Calculate the greatest common factor of r and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - -1303221241?\nAnswer: 1303221214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -3*y - 5, -c - 5*y - 592 = -593 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 + x + x**4 - 2*x**3 - 3*x**4 + x**4 - 14*x**2 to b + t*x**3 + c*x**2 + k*x + d*x**4 and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-40) + 581\/(-35). Let u(g) = -4*g + 6. Let h be u(-5). Let z = k + h. Calculate the greatest common divisor of 25 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 4*d - 76, 2*d + 758148 = -2*g + 758172 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(630\/7)*((-64)\/(-12))\/((-6)\/9)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**3 + 2*y**2 + y - 2. Suppose 6*a - 105*a - 135 - 63 = 0. Let h(g) = -11*g**3 - 5*g**2 - 3*g + 5. Give a*h(f) - 5*u(f).\nAnswer: -3*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 263563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 15*g**3 - 209*g**2 - 17*g + 39. What is o(14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27474 by -57.\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/9 - 152\/(-36). Suppose 0 = 3*r + 3*n - 72, -3*r = -4*r - j*n + 12. Is r a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 11 = 3*l, -u + 2*u + 27 = 5*l. Let c be ((-268)\/36 + 7)\/((-4)\/(-6)). Which is greater: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/9))**(-5)\/(u*u**7*u*u\/((u**(-2\/3)\/u)\/u)) assuming u is positive.\nAnswer: u**(-149\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 + 100.64. Let y = n - 0.74. Which is the nearest to y? (a) 0.5 (b) 0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(343) - (sqrt(7) - ((sqrt(63) + sqrt(63)*1)\/sqrt(9) - sqrt(7))**2)) + -5.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3345773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -339\/160 - 9\/32. Suppose -13*r = 42 - 3. Which is greater: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*g + 13, 4*h + 6*g = g + 1. Solve -5 = -5*d - 0*d, 16 = -5*c - h*d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93990 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2504*-6141.\nAnswer: 15377064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than or equal to 58\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r + 5 - 4 + r**2 + 0*r**2. Suppose -y = 4*x - 7, 2*y = x + 4*y + 7. What is the units digit of v(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 13*o = -164. Let t = o + 41. Let v = 0 - -8. Solve t = -5*f + v + 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, v: 1, z: 5, e: 4}. What is prob of picking 2 e and 1 z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3172498*c**2*n - c**2 - c*n - 1792022 wrt n.\nAnswer: -3172498*c**2 - c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/33*(-4)\/12\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -5) + 2 + (-4 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11394 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.2 (c) 0.3 (d) 1.02 (e) -4\/57 (f) 5\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -421 + 409. Sort z, 2, 0.3, -1 in decreasing order.\nAnswer: 2, 0.3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + 9 - ((-589)\/(-155) - 4)*355?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**3 + 5*o**3 - 2*o**3)*(-19*o - 3 + 3) as r*o**3 + t*o + q*o**4 + u*o**2 + f and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/7, 3\/41, 19\/5, 4\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 531111492 by 1.\nAnswer: 531111492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -g**4\/4 + 2*g**3 - 3*g**2\/2 + 5*g + 3359. Suppose 3*d = 0, -5*t = -0*t + 5*d - 20. What is n(t)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.876.\nAnswer: 0.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -3\/1475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -162040*u**2. Let b(n) = -5*n. Determine b(a(s)).\nAnswer: 810200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 0.1, 99, 1\/6, -0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millennium in years?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*u + 26 = 4*b, 5*b = -u + 31. Suppose -4*g + 18 + b = 0. Solve o + 1 = g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -279, -936, -1977, -3402?\n\"Answer: -192*l**2 - 81*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhahahh. Give prob of picking 2 h and 2 a.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 5, 74, -1 in increasing order.\nAnswer: -3, -1, 4, 5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 6 = 3. Let a be ((-9)\/6)\/(y\/12). Calculate the least common multiple of 5 and (-18)\/(-4) + a\/(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**0)\/((a*a**8)\/a))\/(a**5*a**(-4\/3)) assuming a is positive.\nAnswer: a**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 31*u + 10. Let g be c(-5). Let i = g + 198. Calculate the remainder when i is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -59.7. Let z = -0.42 - i. Let w = z - 0.18. Which is bigger: -23\/4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 at most 529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*h + 33*h**2 - 24*h - 984*h**3 + 1109*h**3 to d*h + l*h**2 + m*h**3 + a and give l.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36.363031813 - 0.331771913. Let f = n - 35.78126. Let o = f - 0.25. What is o rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2934 and 20538.\nAnswer: 20538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.13131 litres to millilitres.\nAnswer: 32131.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 79, 10, -4, 1, 632 in decreasing order.\nAnswer: 632, 79, 10, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15881057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*x - 3 = 8, -2*x - 4 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 3. Let q be (-1)\/g + (-45)\/36. Let t(c) = -2*c**3 + 2*c + 1. Let v be t(q). Solve -2*s - 3*a = v, 4*s - a - 13 = 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 651 + 532. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/8)\/((-1)\/7) - ((-53)\/106)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 61 = -0*v - 3*w, -2*v - 2*w + 98 = 0. Which is smaller: 53 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 10*u - 6 = 3*u - 0*u - 52, 4*l + 5*u - 5 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/4))**(3\/4)\/(z*z**(2\/7)*z*z*z**4\/z)*((z**(2\/11)\/z*z)\/z*z*z**(-3\/5))\/((z\/(z\/z**(1\/2)))\/z)**(-5\/6) assuming z is positive.\nAnswer: z**(-121193\/18480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -802.194536 to 2 dps.\nAnswer: -802.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 65 - 5. Suppose -2*k = -g + 5, 2*g + 3*k - 2*k = z. Let c = g + -1. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43092 times -0.1173?\nAnswer: 5054.6916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2534 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/(570\/(-35)))\/(((-14)\/24)\/7)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-56))\/((-21)\/7546*-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 2:01 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -71 in 0.7, -3\/5, -0.07, -2\/5, 3\/8, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -15506?\nAnswer: 15511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7162726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -31027624 (base 8) in base 3?\nAnswer: -110100120120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451873?\nAnswer: 451873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000122534576 to 7 dps.\nAnswer: -0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 divided by 79?\nAnswer: -115\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -72 + -1?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 226\/7 - 10\/35. Calculate the highest common factor of l and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.7 + -14.8. What is the nearest to 3\/7 in 2\/3, k, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 10 + l**3 - 4)*(1 + 0 - 2)*(14*l + 5*l - 11*l).\nAnswer: -8*l**4 + 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -0.35, -0.5, -2\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*k**4 + 41463*k**3*q + 1245498*q wrt k.\nAnswer: -188*k**3 + 124389*k**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6*y = -c - 10, 4 = -2*y - 2*c. Let k be (y\/(-4))\/((-1)\/(-6)). Let t = k + 14. Solve 5*n + t = -4*s, 5*n + 51 - 20 = 3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21416.\nAnswer: 2, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.1 (c) -27 (d) -57 (e) -21 (f) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.43 - -0.93. Which is the nearest to -1\/5? (a) -0.5 (b) -0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4825, 14, 2 in descending order.\nAnswer: 4825, 14, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*r*v**4 - 1360*r + 286*v wrt v?\nAnswer: 44*r*v**3 + 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16850 and 1198800?\nAnswer: 403995600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l**3 + 11*l**2 + l + 97. List the prime factors of h(12).\nAnswer: 59, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/(-21))\/(2\/(-96)). Let p be 2\/(6\/39 - s\/(-884)). What is the derivative of 1 - 6 + 3 - p*m - 1 wrt m?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 11*y - 12. Let p be v(2). Suppose -6*i = p - 58. Suppose -i*m = 4*m. Solve 3*s + 5*b + 15 = 0, m = 3*s - 3*b + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**4\/12 - g**3\/6 + 10*g**2 + 5*g. Let q be x(0). Calculate the highest common factor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 8*v**4\/7 + 402*v**3\/7 + 6144*v**2\/7 + 27368*v\/7 + 34848\/7 = 0.\nAnswer: -22, -4, -9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-287)\/(-123) - 23\/(-24) and -17\/44.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*(((-24)\/4)\/(-6))\/(-1). Suppose 3*k - 14 + w = 0. Solve -1\/3*t**k + 0*t**2 + t + 2\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7137118 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007259 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8010 and 21710304.\nAnswer: 108551520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 60 - 9 = -3*h, -3*h = 3*l - 45. Put -1, l, -3 in ascending order.\nAnswer: -3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4422? (a) -44 (b) 0.4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhthhjhhpjhhhh. Give prob of sequence jtj.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 7 - 0. Let j = f - 11. Let i = j - -7. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t + 5. Let j be v(-2). Let c = j + 18. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.273094ml in litres?\nAnswer: 0.007273094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k**3 - k**2 - 3*k - 2. Let g be i(-2). Let u = g + 237. Is u a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 11*f - 9. What is g(-10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-72)\/84024*(-2)\/(2\/57). Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20024836790 less than -0.4?\nAnswer: 20024836789.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 172*-1*7. Let p be v\/(-24) - 1\/6. Calculate the highest common factor of p and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50074 (base 9) to base 12\nAnswer: -17034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - r - 77 + 5, t = -4*r - 57. Let f(s) = -210*s**3 - 77*s**2 + 77*s. Let n(l) = 11*l**3 + 4*l**2 - 4*l. What is t*n(k) - 4*f(k)?\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + 27\/(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 51\/(-136) + (3 - (-22006)\/16). Let t = -790 + r. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/24*(-66)\/253*2415\/(-210)?\nAnswer: -39\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - -4*sqrt(121)*2)\/(sqrt(11) - (sqrt(11)*2*-2 + sqrt(11))) + -5 + -1*(1*sqrt(396) - sqrt(396))**2*-1.\nAnswer: -5 + 9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 11:28 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70874466?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x**3 - 49*x**2 + x + 17. Suppose 0 = -13*y + 12*y + 10. What are the prime factors of u(y)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -365a5934 - -4?\nAnswer: -365a5930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 14. Let z = 72.774112 - 67.7741. Let o = z - t. What is o rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17461643?\nAnswer: 17461643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1215 and 77985?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 - 9. Let a(s) = -18 + 43 + 5*s**2 - 3*s**2 - 30. Give -7*a(t) + 4*b(t).\nAnswer: 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.494, 1\/2, 6606\/17 in decreasing order.\nAnswer: 6606\/17, 1\/2, -0.494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12023 (base 4) to base 2\nAnswer: 110001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (323*n**4 + 248*n - 123*n - 125*n)*(-3*n + 0*n + 4*n).\nAnswer: 323*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -63 and 0.15.\nAnswer: -62.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1231 (base 4) to base 16.\nAnswer: -6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1162 (base 8) in base 6?\nAnswer: -2522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17662 - 1766101\/100. Find the common denominator of d and 17\/400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -3016.\nAnswer: -3020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4173158 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 262500 to the nearest ten thousand.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 - g**5 + g**5 + (-2*g**2 - 4*g**2 + 4*g**2)*(g**2 - g**2 + 2*g**3) - 7*g**5 + g**5 + 3*g**5 - 2*g**4 + 3*g**5 + 2*g**4.\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.028 and -1588.\nAnswer: 44.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 106207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, r: 3, x: 1, n: 2, z: 3, y: 1}. What is prob of sequence zvn?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/5)\/((-47)\/235). Sort -18, 5, j.\nAnswer: -18, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 252407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 485322, 485650, 485978, 486306, 486634?\n\"Answer: 328*g + 484994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y. Let q(c) = 2*c + 6. Let m(k) = -3*h(k) + q(k). Let a(b) = b**3 - 16*b**2 + 15*b + 8. Let o be a(15). Give m(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51 and 3?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1443 + -2315?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4550609 rounded to three dps?\nAnswer: -0.455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*u - 603*u - 1456*u + 310*u = 67680 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -157 (base 10) to base 9\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*p - 60*p + 25*p)*(-1 - 2 + 5)*(11*p + 10*p - 8*p) to y*p + n*p**2 + k and give n.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = 4*r + 5*q + 22, -3*r = -5*q - 109. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/40 of a microsecond?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -6*o**3\/5 + 12206*o**2\/5 - 6209802*o\/5 + 2068578\/5 = 0?\nAnswer: 1\/3, 1017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 531*n + 580 = 81*n + 5080 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -18*v**3 - 10*v - 4*v**2 + 3*v**2 + 10*v. Let r be i(-1). Suppose -c = -5*g + 2*g + r, g - 4*c - 24 = 0. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 23592?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.801\nAnswer: -2.403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, -463, -2745, -7487, -15511?\nAnswer: -27639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 47*d - 452. Determine g(11).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -a45?\nAnswer: -a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -84, 0.03, -3, -4, -13?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 + 10*o + 12. Let c be h(5). Suppose 10*n + 64 = c*n. What is the remainder when 63 is divided by n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s + 50. Let f = 5 + s. Let c(t) = 14*t + 5. Let x(g) = -30*g - 11. Let u(j) = 13*c(j) + 6*x(j). Give u(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3140, -3189, -3270, -3383, -3528?\n\"Answer: -16*x**2 - x - 3123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u**2 - 9*u + 18. Let c(x) = -x**2 + 5*x. Let j be c(3). Let i be f(j). What is the tens digit of 27564\/i - (-2)\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 112*b + 373. Let t(y) = 335*y + 1116. Let f(h) = 8*s(h) - 3*t(h). Differentiate f(k) with respect to k.\nAnswer: -109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from twcasacp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*(sqrt(200) + sqrt(200) + -1 + sqrt(200)) + 5 - (-1 + sqrt(200)*1 + sqrt(200) + (5 + sqrt(200) + 1 + sqrt(200))**2)).\nAnswer: 920*sqrt(2) + 3324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c + 24 = -96 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*h - 43*h - 1532 = 0. Differentiate -342 + h + 12*n + 23*n with respect to n.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 738*n**2\/13 - 734*n\/13 - 4\/13.\nAnswer: 2*(n - 1)*(369*n + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 134539 and 318645.\nAnswer: 6054255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -0.4 (c) -11 (d) 12741\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 + 921682*v - 1843356.\nAnswer: -2*(v - 460839)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 - 595*v**2 + v**4 + 11*v**4 - 10*v**4 - 516 + 595*v**2 to the form x + y*v**4 + f*v**2 + c*v**3 + l*v and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12680502469\/2940270 - 4\/294027. Let q = s + -4306. Calculate the common denominator of q and 97\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3483133 hours in nanoseconds?\nAnswer: 1253927880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -5, -12, 57957 in decreasing order.\nAnswer: 57957, 1, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4657628 to the power of 1\/2, to the nearest integer?\nAnswer: 2158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -2042131?\nAnswer: 2042143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2468828 by -4.\nAnswer: -617207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 21*t**2 - 100*t - 8. What is i(-11)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34998 and 1482?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21\/(-6) + 1)*-2. Suppose -2 = 3*p - c. Solve -3*g + p = -4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261863447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/152 and -7\/152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -6*i - 92, w - 3189 = 5*i + 3186 - 6307 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 687475709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n + 3*n + 2*n**4 + (-3 + 4 - 3)*(-3*n**4 - 6*n**4 - 4*n**4) + (n**4 + n**2 - n**2)*(1 - 1 + 2) + 6*n**4 - 2*n**4 - 3*n**4.\nAnswer: 31*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z. Let h(n) = n**2 + 8*n + 3. Let o be h(-5). Let x = o - -14. Let u(w) = -x*w + w - w. What is p(u(r))?\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46.35105139 + 46.54205. Let m = y - 0.191. What is m rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13271427 by 340293.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 399\/2, -2\/9, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + 1.1. Suppose -3*y = -15, -f + 2*y = -2*y + 15. Is f < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*u + 5*b, 18 - 14 = 5*u - 2*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 12*c - 55 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -3\/2*k**2 - 9\/4*k**4 + 2 + 0*k - 3*k**3 - 3\/5*k**5. Factor h(y).\nAnswer: -3*y*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from {y: 7, d: 3}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**5\/30 + q**3\/3 - 4. Let h(y) be the third derivative of l(y). Let i(n) = -3*n**2. Calculate h(i(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -4*i**5\/5 - 2*i**3\/3 + 203*i**2\/2 - 62. Find the second derivative of z(s) wrt s.\nAnswer: -48*s**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 13*u - 30. Let f be w(-15). Suppose -k + 11*k - 40 = f. Solve -k*t - t = j, 3*j + 3*t = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -337766 smaller than -337769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -25*j + 1. What is the tens digit of d(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**4 - 200*y**3 - 20*y**2 + 800*y = 0?\nAnswer: -2, 0, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -72894 > -86220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -4. Suppose 4*h - 6 = v, -4*v + 2*h + 38 = 6. Let w(x) = 3 + x**3 - 7*x - 2*x**3 + v*x + 1 + 2*x**2. Determine w(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103400 (base 5) to base 8.\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 210707579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -25*l**3 - l**2 - 2*l - 1. Calculate the remainder when y(-1) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -6 (c) -0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1570*z - 61745 - 8905 = 0 for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Let w = -0.9 + 0.8. What is the nearest to h in 0.4, w, 2\/19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10170 + 24302. List the prime factors of g.\nAnswer: 2, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 29.8. Round g to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2*u + 17, -3*x - 5*u + 20 = -8*x. Suppose -3*d + 0*d = -18. Let j = d + x. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1006 less than -8765964?\nAnswer: -8764958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 9\/(-2)) + (-18)\/(-12). Which is the third biggest value? (a) 2 (b) -4 (c) -15 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 18, -4\/9, 2.5, 1\/5, 0.3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 264 by -8851.\nAnswer: -264\/8851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -176697 in -4, -2\/9, 57?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33155602 - -14?\nAnswer: -33155555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -41004312 (base 5) to base 4\nAnswer: -1100100003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105041030*g**2 + 11*g - 11*g + 105041025*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -13, 68, 217, 440, 743, 1132?\nAnswer: 1613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*h + 64*h - 6538 = 0. Let i = h + 38291\/41. Is 1 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1189)\/203 + 6)*(455\/(-50))\/(-13).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 6*i**2 + 5*i - 8. Give y(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -1481*d**7\/105 - 5825*d**4\/24 + 18*d**2 + 3*d + 1. What is the second derivative of o(r) wrt r?\nAnswer: -35544*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*3*(-8)\/132?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adiilaa. Give prob of sequence ili.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*l - 27 = -157*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2498?\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 11*l**6\/60 + l**4\/12 - 8*l**3\/3 - 94*l**2. What is the derivative of b(v) wrt v?\nAnswer: 66*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 3*r**2 + 9*r - 1. Let k be g(-5). Suppose 396 = -3*q + 4*q + k*v, 4*q - 3*v = 1603. Round q to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -95*k**5\/4 - k**4\/12 + 3*k**3\/2 + 8*k**2 + 6*k + 16. Find the second derivative of d(s) wrt s.\nAnswer: -2850*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700575 is divided by 140110.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21.2 + 26.2. What is the closest to -4 in 4, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/9*0 + 4. Suppose -y = n*o + 2*y - 144, 3*o - 5*y = 108. What is the highest common factor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4*i + 0 - 3*i + 0 in the form n*i + o and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 678.776148 rounded to the nearest 10?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1875 - 890. What are the prime factors of f?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234329309.\nAnswer: 17, 29, 41, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -28.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 775087 - 23\nAnswer: 775064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 2. Let r be u(-4). Let z = r + 12. What is the units digit of z\/8*(-16)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r - 4*r - 3*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -245 + 1052425?\nAnswer: 1052140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) + sqrt(75) + 2 + sqrt(75))*4 + -1 + 1)*-6)**2.\nAnswer: 34560*sqrt(3) + 391104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-2*6)\/(sqrt(270)\/sqrt(6)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -422, -5, -0.03?\nAnswer: -422","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4992)\/2912*7\/(-4). Let g(n) = -n**3 - 3*n**2 + 3*n - 1. Let x be (8\/(-10))\/((-6)\/(-30)). Let p be g(x). What is the highest common factor of i and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70660, 141367, 212070, 282769, 353464, 424155, 494842?\nAnswer: 565525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2079 - 963. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1656358 (base 9) to base 5.\nAnswer: -214020320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -21.61?\nAnswer: -14.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31.7 + 31. Which is the nearest to n? (a) 4 (b) -4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 + 683*l**2\/4 - 128203*l + 510064.\nAnswer: (l - 449)*(l - 4)*(l + 1136)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -4. Let h(n) = 6*n - 74. Let m be h(12). Let w be (-3)\/m*(-200)\/60. Put w, 4, k in decreasing order.\nAnswer: 4, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261011391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 1. Suppose 8*h = 13*h - 145. Let j = h + g. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**7\/210 - l**5\/40 - l**4\/6 - 3*l**2. Let b(q) be the second derivative of d(q). What is the first derivative of b(s) wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-64)\/(-48))\/(20\/45). Factor 0 + 0*i - 1\/4*i**v + 1\/4*i**2.\nAnswer: -i**2*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2 - 2. Suppose -2*w + a*w - 6 = 0. Let l(c) = c - 25 + 24 - c - 3*c**w. Determine l(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**5\/9 - 154*m**4\/9 - 316*m**3\/9 = 0.\nAnswer: -2, 0, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from jjjyjjyjjp?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 6*j**2 + 6*j + 6. Let g be (2 + -3)*(-4 - -8) + -1. Let y be c(g). Let p = -107 - -88. Is y less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32723 + -11746. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4807.124 and 148.02803?\nAnswer: 4955.15203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - 1101000162\/(-30)) + (-6)\/15. What is t rounded to the nearest one million?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 30 = 2*a + a, -3*a = -2*o + 19. Suppose 4*q = 51 - o. Suppose -q*z - 2935 = -15*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-24))\/((-1950)\/(-8000)*20)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105357429?\nAnswer: 3, 1300709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3 = 4*c + 5, -5*y + 7 = -2*c. Let r be (y - 1)\/1 - -2. Find the second derivative of h + 3*h**r - 3*h**2 - 2*h**5 wrt h.\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 5. Let s be h(-4). Find p, given that 0 - 6\/13*p**s + 2\/13*p**4 - 2\/13*p + 6\/13*p**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, z: 1, i: 2, j: 7, b: 3}. What is prob of picking 1 z and 2 u?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7363903826 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q**3. Let w(a) = a**3. Let u(l) = l**2 - 6*l + 7. Let z be u(5). Suppose -f + z = -1. What is f*o(v) - 16*w(v)?\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77 - 35650523?\nAnswer: -35650424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 94721949 divided by 31573983\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9167 + 13786. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -957890, -3831538, -8620944, -15326108?\nAnswer: -23947030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.34 + 1.24. Let x = 252 + -247.11. Let a = x + 0.11. Sort a, 1\/3, f.\nAnswer: f, 1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 250 and 2.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 - 4*w**2 - 21302 + 552 - 9*w + 4578.\nAnswer: 4*w**2 - 9*w - 16172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1, 7 in increasing order.\nAnswer: -1, 0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10513.\nAnswer: 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6551486671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.9. Let c = -0.02 + 0.12. What is the closest to d in 2, c, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 22.5. Let q = 209 - 123. Let j = 86.4 - q. Which is the second biggest value? (a) j (b) 0.07 (c) u (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 22332.\nAnswer: 1\/3722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 676 and 5564?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 177, 0, -4\/19, -3\/4?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -402003?\nAnswer: -402003.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -8*w. Suppose w*q + 20 = 5*q. Suppose q = x - 2. What is the remainder when 16 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 304 = -9*j. Let g be -5 + 4 - j*1. Let s = -34 - g. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61 by -4332.\nAnswer: -61\/4332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*a**2 + 1223*a - 107*a**4 + 59*a**4 + 57*a**4 - 92*a**3 - 1131*a.\nAnswer: a*(a - 1)*(a + 1)*(9*a - 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*g = -0*r - 25, -2*r - 15 = -3*g. Solve r = 7*q + 87 - 108 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((2\/28)\/1). Suppose -2*y - i = -3*r - 3, -y - 7 = -2*r. Solve -r*x + 4 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3343405360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -39, -25, 7, 63, 149, 271, 435?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -6*q + 4*q, -5*q - 17 = d. Suppose -5*k + 4*a + 324 = 94, 85 = 2*k - d*a. Calculate the remainder when k is divided by -1*1*18\/(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1468, 1570, 1672, 1774?\n\"Answer: 102*r + 1366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 26 (c) -4 (d) 7\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 445255164, 445255165, 445255166?\n\"Answer: b + 445255163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 1. Let m be x(-4). Suppose -3*b - m*b + 246 = 0. Calculate the remainder when b is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/584955 and -7\/297.\nAnswer: 6434505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/23))**(-12\/5)\/(m**(5\/3)*m*m**(-24)) assuming m is positive.\nAnswer: m**(6604\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 404895?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16625.1 - -16625. What is the closest to 0.1 in 2\/3, -2\/15, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -244, -2038, -6928, -16468, -32212?\n\"Answer: -259*r**3 + 6*r**2 + r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*i - 53*i + 9984 = 343*i for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 9:48 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 2*p**6\/3 + 12*p**5\/5 + 2*p**4 + 9. Solve a(w) = 0 for w.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3471487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38527290 and 14760.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7043674, 4, 8.\nAnswer: 4, 5, 8, 7043674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*a + 68*a = -4026. Suppose 4*g - 6943 + a = 0. Is g a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1365*g - 2743*g - 240 + 1375*g)*(-1 - g**3 + 1).\nAnswer: 3*g**4 + 240*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 take away -80161013?\nAnswer: 80160821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16a7 (base 12) to base 16.\nAnswer: -a9f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3) + (-2*sqrt(3))**2 - sqrt(3) - sqrt(3))*1.\nAnswer: -sqrt(3) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by (0 - -3 - 2) + 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**4\/4 + 2*v**2 - 209*v. Let j(t) = 24*t**2 - 33. Let x(u) = 3*u**2 - 4. Let a(r) = -4*j(r) + 33*x(r). Calculate a(h(d)).\nAnswer: 27*d**4 + 72*d**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (7 + -6)*(-10 - -4094)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 2*x**6\/3 - 2*x**3 + 6. What is the third derivative of z(o) wrt o?\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5705, 6633, 7561, 8489?\nAnswer: 9417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*n = -47*n + 78*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = t - 4*q - 1510, -3016 = -2*t + 5*q. Calculate the highest common factor of t and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 27. Let b = m - -14. What are the prime factors of 21\/6 - (-3)\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n + 12*n - 2. Let j(z) be the first derivative of 1 - 5\/2*z**n + z. Give j(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/(40\/(-90)). Sort f, -2, -0.2 in descending order.\nAnswer: -0.2, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -14*r**2 + 618*r - 88. Give w(44).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-3*10\/(-15)). Differentiate 1596*s**3 + l*s - 1595*s**3 - 15 - 17*s with respect to s.\nAnswer: 3*s**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.999936 + -24. Round l to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z + 4. Let o(s) = 4*s - 4. Give 2*m(p) + 3*o(p).\nAnswer: 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iizffeii. What is prob of sequence ff?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84455\/(-83125) + 4\/250?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 52, 53, 44, 19, -28, -103, -212, -361?\n\"Answer: -y**3 + y**2 + 5*y + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -132661 - 136?\nAnswer: -133017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 72\/(-16)*((-406)\/(-3))\/(-1). Differentiate 609*c**2 + 5 - b*c**2 - 26 + 16*c**3 with respect to c.\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 818.795557 - 818.92. What is s rounded to 3 dps?\nAnswer: -0.124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -174.6 from 63295.\nAnswer: 63469.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59361 = 1736*t + 17023 for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is b6 (base 13) in base 4?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 318 - 109. Suppose -k = -4*c + 27. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 7*p + 2. Let o be i(-7). Let y = -39 + 45. Suppose -3*f + 3*l + y = 0, 2*f - o*l - 4 = -2*f. Solve f = 8*a - 4*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 383 - 63. What is the remainder when 119 is divided by t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2150 is divided by 308?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13439442.\nAnswer: 2, 3, 431, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -590, -1012, -1434, -1856, -2278?\nAnswer: -2700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1544 divided by -2.\nAnswer: -772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 28 = -29. Let v be a\/((-2)\/(-14)) - (1 - -3). Suppose 3*j = j - 2, 2*j = -v*u - 2. Is u not equal to 1\/78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -768c1 (base 15) in base 10?\nAnswer: -376606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -c2215b?\nAnswer: c22158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(4\/(-4))\/(19\/76).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -360324 (base 10) to base 4.\nAnswer: -1113332010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-1)*8\/(-140).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4466 - 5207.2. Let i = x - -741. Sort 19\/3, -4, -2, i.\nAnswer: -4, -2, i, 19\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1406*c**3 - 2224*c - 2?\nAnswer: 8436*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*j)*(-1 - 1 + 0) + (0 + 0 - 1)*(-3 + 3 + j) + j + 0*j - 2*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 17*s**2 + 479*s + 20. Is y(-31) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-420)\/(-36))\/35*153\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 + -56. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258171701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(5103) - (sqrt(5103) - 4*sqrt(5103)*-3))*-4*2)**2.\nAnswer: 1175731200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -49*u + 84. Let q be (0 + -21)\/(-3) - 6. Solve 19 = u*r - q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9706 is divided by 864?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -229 - -520. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xujxexxy. Give prob of picking 1 y and 1 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3\/11 + 144*l**2\/11 - 918*l\/11 + 1404\/11 = 0.\nAnswer: -78, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1237957068)\/(-119) + (-8)\/14. Round d to the nearest 100000.\nAnswer: 10400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**4 - f**3\/3 - 2*f**2 + 2*f - 21. Let w(n) = 2*n**3 + n**2 + 2*n - 1. Let r(t) = 5*w(t) + 3*y(t). Determine r(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195438 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, p: 3}. Give prob of sequence ttt.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (4 - 7) - (-16 + 16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*o - 189*o - 2 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 l when four letters picked without replacement from slllllllllssllllllsl?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.085883328 to 3 decimal places.\nAnswer: 1.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -80 - 0. Let k(q) = -5 + 3*q**3 + 12*q**2 + a*q - 26*q - 4*q**3. Let r be k(11). Solve 0 = -5*l - 2*z - 2, -16 = -r*z + 2*z for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - 4*-1*sqrt(65))\/(sqrt(40)\/(sqrt(32)\/sqrt(4))))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147 + -36. Let p be (-12)\/12 + (9 + -2)\/1. Suppose -5*b + f = p. Calculate the remainder when b is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110422 - -2?\nAnswer: 110424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 39*k - 656. Give y(18).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17634, 3, -20, -4, -19, 0.\nAnswer: -17634, -20, -19, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + -1 + (8 - 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 5. Let h = 27362 + -27363. Let m(r) = r**3 + r**2 + r. Determine h*v(d) + m(d).\nAnswer: d**3 - d**2 + d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 200 and 201 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t = 11*t + 2772. Calculate the lowest common multiple of t and 30.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5ab - 1a?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, 5\/4, 2\/15, -3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6*l + 80 = 0. Let j be (l\/(-28))\/(2\/7). Solve -5*i = -j*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1464.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 15*n**2 - 2*n - 1. What is the units digit of j(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*(y**(-2\/7)*y)\/y*y))\/y)**(-8)\/(y*y**(-1))**2 assuming y is positive.\nAnswer: y**(152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 164921655203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6190, 6133, 6044, 5929, 5794?\nAnswer: 5645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*m + 1537812 + 2567388 = 108*m. List the prime factors of m.\nAnswer: 2, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 1 = y, 4 = -2*s + y - 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 168 + -78. Is i a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/7)*b)\/b)**(-39)*((b\/b**0)\/b)**(-47) assuming b is positive.\nAnswer: b**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40114 - 230?\nAnswer: 34334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 - w**3 + 0*w**3)*(-25*w + 57*w - 3*w**2 - 31*w) - w**5 + 2*w**5 - 33*w**5.\nAnswer: -38*w**5 + 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16626 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 41*d = 42*d - 14, 2*d = 2*a - 12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + (-244)\/124)*2\/(-1). Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305713140257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -21*i**4\/2 + 3*i**3 + 42*i**2 - 12*i = 0.\nAnswer: -2, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6765489 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1937 - -1942 - 219\/(-42)*2.\nAnswer: 108\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 296528*c**2 - 6525552*c.\nAnswer: 4*c*(c - 74154)*(c + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -18.3, 13\/3, -0.5, 3\/5, -0.04?\nAnswer: -18.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-873)\/(-288))*(-528)\/(-198)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*g + 85. Suppose g = -3*i - 7. Let h be 3 - (-2)\/((-8)\/i). Solve h*q = q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*h**3 - 53*h**3 + 72*h**3 - 10*h**3 + 2638 to the form y*h**2 + x*h**3 + p + d*h and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - a = 73, -2*i = -6*a + 11*a - 13. Suppose h + 3*h = 28. What is the highest common divisor of h and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 265*i**4\/4 + 263*i**2\/2 - 109*i + 2. Find the first derivative of q(g) wrt g.\nAnswer: 1590*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(60) - sqrt(240)))\/(1*sqrt(588) + sqrt(588) + sqrt(12)))**2*3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 63, 151, 275, 435, 631, 863?\nAnswer: 1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 445110145 rounded to the nearest 10000?\nAnswer: 445110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008196046606 to six decimal places.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1473 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -107, -233, -407, -629, -899?\nAnswer: -1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*y = -69*y + 95*y + 660375. Is 117 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 580 and 20594060?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 331553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*(sqrt(325) - sqrt(325)*-2) + (1 + sqrt(325))**2*2 + (4 + sqrt(325)*2 + 0)**2)*-5 + -1.\nAnswer: -9841 - 200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 169 = -5*b, -4*q + 72 = b + b. What is the highest common divisor of b and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6151 - 6148. Which is the third biggest value? (a) x (b) 49 (c) -0.1 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 68*m + 67*m - 12, 0 = -3*d - 4*m - 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 459733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*a - 4. Suppose 41 = a*n + 5*v, 49 = 3*n + 2*n + 4*v. Calculate the smallest common multiple of 10 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, b: 2, v: 3, o: 3, u: 2}. Give prob of picking 2 u and 2 v.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 3, 9, 17?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -1514a2?\nAnswer: 1514a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 12*z**2 + 12*z + 6. Let n be y(-11). Let j be ((-9)\/n)\/(11\/1705). Suppose p = 5*v + 267, 3*v - 4*v = p - j. Does 41 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s + 11 + 16 - 27.\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1531, -0.4 in decreasing order.\nAnswer: 8, -0.4, -1531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 equal to -54582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/5 + 32*c\/5 + 32 = 0. Calculate c.\nAnswer: -4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**4\/12 - 7*h**3\/6 - h**2 - 2*h. Let j be i(6). Suppose -v = 5 + 3. Is v at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**2 + 1995 - 1995.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24.83 + 25. Let t = n + -5.17. Sort t, 3, 2 in ascending order.\nAnswer: t, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(4\/26*-1). Suppose -4*r + 473 = d, 149 = r + 3*d + 17. What is the greatest common divisor of r and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -356 (base 7) to base 3.\nAnswer: -20222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 661666693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011 - -1?\nAnswer: 1010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 - (14 - (47 + -47)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -50 (c) 5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 4 + 11)*(1 - 1 - 3*c + (-4*c + 4*c - 2*c)*(1 - 2 + 2)).\nAnswer: -35*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1294912 to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -289*q**4 - q**2 + 219*q.\nAnswer: -6936*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3150814465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 j, and 1 n when four letters picked without replacement from nggpjnnnggggngnn.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -862.18372 to one dp.\nAnswer: -862.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-3)\/(132\/(-4))). What is the highest common factor of g and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2852*s**3*z + 3*s**2*w*z - 90*s**2*z + s**2 - 6*s*w*z + 333*s*w - 5*s*z - 6*s + w*z + 2*z wrt s?\nAnswer: -17112*s*z + 6*w*z - 180*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -547053.25?\nAnswer: -1641159.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 122? (a) -5 (b) -64 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l + 12*l - 9*l)*((9*l**2 + 13*l**2 - 25*l**2)*(1 - 3*l**2 - 1) + 4*l**4 - 2*l**4 + 0*l**4).\nAnswer: -44*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 23*h**2 - 25*h**2 - 56*h - 1 - 2*h**3 + 58*h. What is o(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 0 + 1\/2*h**2 - 1\/2*h**3 - 198*h. Give c(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (8 - -40) + -11 + -2 and 126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 (base 10) in base 3?\nAnswer: 202202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*r + 16, -a - 4*r = -r + 17. Let k = -10 - a. Let 5*y**2 + 12*y**3 - 4*y**4 + 4*y**k + 4*y**4 + 3*y**2 = 0. What is y?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3062, -3067, -3084, -3119, -3178?\nAnswer: -3267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n - 2*n + 2*n)*(3*n + 3*n - 5*n)*(-2*n**2 + 2*n**2 + n**2).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 17132*y - 2307. Is i(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -550 - -551. What is the closest to -3 in -4, 0, d, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 32 = -3*w. Let b(f) = f - 22. Let c be b(w). Is c at least -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-4\/11)*d**18)\/(d**(4\/11)\/(d\/d**(5\/9))) assuming d is positive.\nAnswer: d**(175\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/44777 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**6*p + 304414*l**4 - 14*l**3*p + 66*l**2*p - 12*l**2 - 6*l*p + 2*l + 18*p + 1 wrt l?\nAnswer: -240*l**3*p + 7305936*l - 84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 6) to base 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 628785367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w**2 - w**2 - w**2)*(-2*w**2 - w**2 + w**2) + (3 - 2*w**4 - 3)*(177 - 71 + 435) to a*w**2 + y + j*w**3 + d*w + c*w**4 and give c.\nAnswer: -1086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + 6*n - 3*n)*(-538*n**2 + 875*n**2 - 585*n**2) to the form m*n**3 + v*n + w + j*n**2 and give m.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9794924 by 3.\nAnswer: 9794924\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 + 3*a. Let p(b) = 8*b**2 + 13*b - 1. Let q(w) = 9*h(w) - 2*p(w). Let j be q(-1). Solve 2*i + g - 15 = -j*i, -3*i - 5*g = 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-3\/4))**(-1\/7)*(j\/j**2)**(4\/5) assuming j is positive.\nAnswer: j**(-21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110605154 and 8?\nAnswer: 442420616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 856*s - 853*s + 156 = 3*g, 0 = 3*g - 4*s - 163. What is the highest common factor of g and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4*f + 1. Let u(j) = -j**2 - 2*j + 13. Suppose 0*x - 2*x - 22 = 3*z, 0 = -4*z + 4*x + 4. Let h be u(z). What is the nearest to 0 in -2\/7, f, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -176*q**3 + 52*q**2 + 24*q = 0. What is q?\nAnswer: -1\/4, 0, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*v + 5 - 91*v**2 + 1 - 2.\nAnswer: -91*v**2 + 652*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 2*i - 24. Let t = -3 + i. Calculate the greatest common divisor of 45 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 473 by -609.\nAnswer: -473\/609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200211 - -22120002?\nAnswer: 21212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000143 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 1\/4, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30, 32, 34, 36?\n\"Answer: 2*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/(-20)*175\/(-770).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47\/132 + 1\/44. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 33977*d + 509880.\nAnswer: -(d - 33992)*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**3 - 6*k**2 - 24*k + 111. Let d be p(4). What is the greatest common factor of d and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/11)\/k**6*(k*k**(-3\/7))\/(k\/(k\/((k\/k**(-6\/5))\/k*k))))\/(k*k**(1\/5)*k**(1\/3)*k**(-1\/4)*k*(k*(k*(k\/(k*k**(-5)))\/k*k)\/k)\/k*k) assuming k is positive.\nAnswer: k**(-72673\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + n = -n - 27, -5*n + 20 = 0. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 63 = 2*c + 4*x, x - 1 = 0. Let d = 35 - c. Let j(n) = -n + 16. What is j(d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 4 + 4*w + 0*w**3 + 0*w**2 - 3\/4*w**4. What is the first derivative of f(z) wrt z?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64\/7 - 32*m**2 - 192\/7*m - 4\/7*m**5 - 128\/7*m**3 - 36\/7*m**4 = 0. Calculate m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*y + 5*o + 18, -6 = -y + 5*o. Sort -3, y, -2, 2 in descending order.\nAnswer: 2, -2, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196756 a multiple of 637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 - 2*s**5 + s**2 + (s**2 - 3*s**2 + 4*s**2)*(-32*s**3 - 113*s**3 + 30*s**3).\nAnswer: -232*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsbb when four letters picked without replacement from {b: 4, v: 2, j: 2, s: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45105627.\nAnswer: 3, 7, 37, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 472*c**3 + 536*c**3 + 468*c**3 - 1471*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + (-5 - (-2 + -2)) - (68 + -67).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -4, 4.5, -4\/3321 in increasing order.\nAnswer: -4, -3, -4\/3321, 0, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 + 0*o**3 - o**3)*(o**2 + 4*o**2 - 2*o**2) - 329*o - o**5 - 5 + 330*o - 53.\nAnswer: 5*o**5 + o - 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -498827 + 0?\nAnswer: -498827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-2\/7)\/g)*g)**(-45))**10 assuming g is positive.\nAnswer: g**(-10350\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z. Let g(l) = -l**2 + 6*l. Let j(n) = -g(n) + 6*y(n). Let o(a) be the second derivative of a**4\/12 + 2*a - 45. Give j(o(h)).\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/3 + 46*n**3 - 1928*n**2\/3 + 1778*n + 7399\/3.\nAnswer: (n - 7)**2*(n + 1)*(n + 151)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1559 - -3579. Let z be (264\/11)\/(6\/b). What is z rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1704 + 8*c**3 - 1704.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/15 (b) -0.1 (c) 188 (d) 0.2 (e) -157 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 1, b: 1, d: 1, f: 3}. Give prob of picking 1 w and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/1384 + 717\/34600. Which is the fourth biggest value? (a) m (b) 4 (c) -0.3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -27, -60, -117, -204, -327, -492, -705?\nAnswer: -972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 14) to base 11\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, r: 3, l: 5, u: 1}. Give prob of sequence rx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318079 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v**2 - 13*v + 10. Suppose -5*d - 2*f = -35, 18 = 3*d + f - 4. Is l(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/6)\/(-5)*(56 - 59)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (32\/12)\/(6\/(-423)). Let c = b + 564. List the prime factors of c.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(2736) - (sqrt(2736) + sqrt(2736) + -1) - sqrt(2736)) + 2 + sqrt(2736))**2 + 2 + sqrt(2736) + 4 + 2 + -4 + 0)*-5.\nAnswer: -13730 + 300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -3*q + 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-3*(-3)\/9). Factor -24*g - 4*g**2 - 36 - c*g**2 + 5*g**2.\nAnswer: -4*(g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -276.67 - -281. Let p = c + -4.3557. What is p rounded to three decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u*v**4 - u*v**3 + 92703*u*v**2 + 2*v**4 - 326*v**3 - 20*v**2 wrt v.\nAnswer: 48*u*v - 6*u + 48*v - 1956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322081017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 352 (c) 0 (d) 123 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13904 in -2\/9, -0.2, 0.2, -3\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 8:24 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -65 + 70 + (0 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -214, 2\/9, 2, -2\/139.\nAnswer: -214, -2\/139, 0.1, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3 - ((-190)\/(-57))\/((-434)\/(-21) + -20)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 3*p - 1. Let c be i(4). Which is greater: c or -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from nlllnlnlll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3341 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: Collect the terms in 7*r - 1069 - 178 - 5*r - 113.\nAnswer: 2*r - 1360","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*c + 4*i, 4*c - 14 = 3*i + 31. Let f(o) = o**2 + o + 18. Let s be f(-6). Calculate the greatest common divisor of c and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 1:40 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2966 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99 - 99. Suppose o - 4*c + 86 = -2*c, p = 3*o + 5*c + 280. Round o to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8662 != 8664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1289 is divided by 144?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3)*w*w*w*w*w*((w**(-2)*w*w)\/w)\/w*w*w**4*w**(2\/9))\/((w**(-1))**(-25)*(w**(-2))**(3\/14)) assuming w is positive.\nAnswer: w**(-988\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 - -4.9. Let o = 4 - f. Let r = -0.239 + 0.339. Which is the closest to r? (a) -2 (b) o (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(847) + -3 - (sqrt(7) + sqrt(28)\/sqrt(4) + 5 - (0 + sqrt(252)))**2.\nAnswer: -140 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/18*4*(-6)\/(-8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s**4 + 42*s**3 + 135*s**2 + 64*s - 32. Let o(a) = 6*a**4 + 41*a**3 + 134*a**2 + 63*a - 33. Let b(f) = -3*n(f) + 4*o(f). Factor b(l).\nAnswer: (l + 1)*(l + 6)**2*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/2 of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10183110 and 3248?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + 18 - (-1 + 3)) + -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fuaxm. Give prob of sequence mfmx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7741, 15484, 23221, 30952, 38677, 46396?\n\"Answer: -3*s**2 + 7752*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 681*j**2 + 94733*j - 17984. What is k(-486)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 2, 143, 123 in descending order.\nAnswer: 143, 123, 29, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1544792 (base 11) in base 15?\nAnswer: -372aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5233 + 5227 - (-39 + (-1 - -2) + -2).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 334 + -203. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6645634*t**3*v - 2*t*v + 100868094*v wrt t.\nAnswer: -19936902*t**2*v - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 612, 48, 7495, 1.\nAnswer: 1, 48, 612, 7495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 + 2)*(-v + 2*v + 6*v)*(3 - 1 + 0) to a + o*v and give o.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 732 and 3050?\nAnswer: 18300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 641*h - 1907*h + 625*h + 626*h.\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((sqrt(228) - sqrt(228)*5) + sqrt(228))*-2 + sqrt(228)))\/((sqrt(24) - sqrt(2904)*-2)\/sqrt(2)).\nAnswer: -7*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 6:51 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) + (-27)\/76. Let w = 49 + -48. Let n be (w\/28)\/(-1) - 6\/(-21). What is the closest to n in -5, -1\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 811, 1631, 2453, 3277, 4103?\nAnswer: 4931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 6\/13 (c) -0.29 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**2 + 3 + 2 - 5 in the form o*p + n*p**2 + j and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 5*y**2 - 2*y + 13. Let h = 1074 - 1078. Calculate w(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134 - -2. Suppose -586*s - 22388 - 49690 = 0. Let r = c + s. What is the remainder when r is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/1 - 319\/(-33).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/2*(32\/36)\/(32\/144).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*z**3 - 2*z**2 - 9*z + 30*z**3 - 8*z**3 + 2*z to m*z**2 + f + v*z**3 + y*z and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14655 - -19407. Does 33 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 6:17 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1082*q**3 + 0*q**2 - 676*q**3 - 111*q**3 + 0*q**2.\nAnswer: -1869*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 11, y: 1}. Give prob of sequence by.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 1 (b) -847 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.028 and -6408065413.\nAnswer: -6408065413.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-81)\/120 + 63\/168 + 2608*(-15)\/(-98400)\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/8)*s**(-1\/2)*s**(-6)*s\/((s**0*s)\/s*s))**(-3\/19))**(-6) assuming s is positive.\nAnswer: s**(-459\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -9*a - 4*a + 4*a - 2*a + 18. Let o be m(6). Let j be (1 + (-2937494)\/(-6))\/((-1)\/o). What is j rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.5, 4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1)*(h**(16\/3)\/h)\/h*h)\/(h*h**(-17)*h*h**0))**(-1\/48) assuming h is positive.\nAnswer: h**(-29\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 155*y - 99*y - 89*y + 429 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 7) to base 6\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*u + 42 = -231*u. Solve 0 = -3*n + 3*b - u, -b - 2 = -4*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/16092 and -7\/22212.\nAnswer: 9928764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**3 - 3*d + 14. Let x be y(4). Let g = 538 - x. Does 74 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2. Let r(o) be the second derivative of -5*o + 1\/6*o**4 + 0*o**3 + 0 + 0*o**2. What is q(r(v))?\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19739305.424 and 341?\nAnswer: 19738964.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -294358*f - 2060505. What is l(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-21 - -16) + (-14)\/(-4)*2 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bpyyvpyypyypvvp. What is prob of picking 1 y and 3 v?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 + 2*s**2 + 96699 - 99930 as o*s + g*s**2 + v and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8\/9, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2. Let v = 8775 - 8742. Let x(z) be the third derivative of -v*z**2 + 0*z**4 + 0*z**3 + 1\/20*z**5 + 0 + 0*z. Determine n(x(u)).\nAnswer: 27*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 23*j**2 - 5*j + 20. Is 16 a factor of c(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 f when four letters picked without replacement from fffffxxffxxfx?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-4))\/((-6)\/960). What is the greatest common divisor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 4*n**2 + 6*n. Let w be x(-4). List the prime factors of (20\/(-6))\/(4\/w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 + 70. Let o = 0.3 + -0.28. Let u = o + -4.02. Which is the second biggest value? (a) k (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 6*t + 2. Let n be q(-6). Let f(l) = -5*l**2 - l**3 - 4*l + 4*l**n - 5*l**2 - 1. Is 10 a factor of f(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20153190 and 1865.\nAnswer: 1865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 11:03 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1121629334.\nAnswer: 2, 7, 1033, 77557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 3 = -4*h, 6 = -2*k + 2*h. Let i be (-2)\/k + (-2)\/(-42). Let v = 59\/44 - 1\/11. What is the third biggest value in i, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + -12 + 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4492 + 4498. Solve r + b = -q, -4 = q + q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 19*l**2 - 15*l + 527. Is i(27) a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**5\/30 + 13*c**2 - 68*c. Let z(x) be the first derivative of p(x). Let f(g) = 5*g. Determine f(z(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 398980 or 398982?\nAnswer: 398982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-58812)\/(-288) + (-2)\/(-12). Let z = -28195\/136 + f. What is the common denominator of 16\/3 and z?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 57, 167, 383, 741, 1277, 2027, 3027?\nAnswer: 4313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7))**(15\/8)*(t**(1\/15)*t)\/t*t*t**(-1) assuming t is positive.\nAnswer: t**(253\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -349, -2, -3, -0.02 in ascending order.\nAnswer: -349, -3, -2, -2\/11, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14536291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -228.5 and -2.978.\nAnswer: 680.473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 11398 = 35894. Let o = -2065 - i. List the prime factors of o.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 3*f = 0. Suppose 29 - 37 = -4*s. Solve f = s*y - 11 + 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-280)\/(-350)*(-5)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*b**4 - 388*b**3 + 464*b**2 - 92*b.\nAnswer: 4*b*(b - 23)*(b - 1)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/sqrt(3)*6)\/sqrt(768))**2.\nAnswer: 45\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h = -33*h - 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 612044328.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + 16. Find the common denominator of 43\/14 and -12 + 12 + 25\/u.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59076 = -4*n + 2*a, -4*a - 44309 = -3*n - 2*a. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -132 + 133. Solve 0 = w - 0*w - o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2273 - -2273.0001394. Round u to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 112?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) -6\/13 (b) 2 (c) -2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yddf when four letters picked without replacement from {o: 3, d: 11, y: 4, f: 1}?\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + w - 2*c = 0, 3*w + 5*c + 8 = 0. Let h be -2 - (-5 + 2) - w. Let v(b) be the first derivative of -b**2\/2 + 4*b - 1. Calculate v(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 458304 and 6930.\nAnswer: 6874560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooooooohoooooooh. What is prob of sequence oho?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 1:33 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d**2 + 35*d + 6*d - 40*d. Calculate the remainder when 438 is divided by g(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3401 != -3399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5700481?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 501872649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**3 + 2*u**2 + 2*u + 1. Let o(x) be the second derivative of -7*x**5\/20 - 5*x**4\/12 - 2*x**3\/3 - x**2 + 2*x. What is -5*a(w) - 2*o(w)?\nAnswer: -w**3 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -258 - -257.9. What is the second biggest value in j, 0.1, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.9 times -3005?\nAnswer: 32754.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/(-14))\/3)\/(-44 - (-775296)\/17640)\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -75\nAnswer: -22\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2 - 6*b + 1. Calculate p(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 582*f**2 + 9332*f - 46512.\nAnswer: -2*(f - 306)*(f - 4)*(f + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*u - 177*u - 179*u - 190*u + 720*u.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b**12*b))\/b*b*b))**(-6)\/(b\/((b\/(b**(-1\/6)*b))\/b)*b*b**22\/b) assuming b is positive.\nAnswer: b**(-575\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11143812*m**3 - 4*m**2 + 27*m - 1801.\nAnswer: 66862872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1263, -2487, -3711?\n\"Answer: -1224*o - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/56*248640\/(-5550)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6\/469 + 26210\/4221. Is 5 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 - 257 = -4*j. Let v be (-1)\/(-1 - 2)*j. Let t = 28 - v. Is t > 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**20)**(21\/2)\/(u**(-2\/3)\/u*u)**(-3) assuming u is positive.\nAnswer: u**208","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6684 + 6688. Let x(u) be the third derivative of -1\/15*u**6 + 0*u**o + 20*u**2 + 0 + 0*u + 0*u**3 + 1\/12*u**5. Find the third derivative of x(a) wrt a.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*c - 6. Solve -c = 2*l - 6*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896)\/sqrt(2)*-6)**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**4\/12 + i**3\/2 - 5*i**2\/2 + i. Calculate h(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 1479*l**2 - 2962*l.\nAnswer: l*(l - 2)*(l + 1481)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-2*sqrt(99) - sqrt(99))\/sqrt(9) - (sqrt(99)*-2 + sqrt(11)))*5)**2.\nAnswer: -5500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 2. Let w be z(-3). Suppose 3*v - 15 = -3*i, 5*v - 2*i - w = -i. What is the third derivative of -2*n**5 - 3*n**2 - n**5 + n**v wrt n?\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 10*l + 2. Let a be i(-10). Suppose -3*n = -a*n + 4*h - 55, -n = -2*h - 85. Is n a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1812 - 1175. Let q = m + -40. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**8\/504 - k**7\/315 + k**6\/180 + k**5\/90 - 7*k**2. Factor a(d).\nAnswer: -2*d**2*(d - 1)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 309, 299, 289, 279, 269?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137\/103 - -1\/309. Let v = -34 - -103\/3. What is the smallest value in v, k, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.1? (a) 2 (b) -28 (c) 0.2 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*o - 6 - 18, -2*o - 4 = 4*w. Find the common denominator of -30\/13 and (-36)\/o - 1 - -1.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(128)*-3*3 + (sqrt(128) - (3 + sqrt(128)*3))**2)*-1.\nAnswer: -520 - 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*k + 3084, 0*k + 9286 = 3*r - 2*k. Suppose -15*v + 29*v = r. What is the highest common divisor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k - 58. Let g(y) = -y**3 + 6*y**2 + 9*y + 1. Suppose 6 + 15 = 3*p. What is the remainder when k is divided by g(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**4\/2 - 56*i**3 + 608*i**2 - 9637. Factor r(h).\nAnswer: 2*h*(h - 76)*(h - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*v**3\/7 + 2210197420*v**2\/7 + 1768157984*v\/7 + 50518800 = 0 for v.\nAnswer: -2\/5, 22101975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 - -113. What is the remainder when l is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - r**2 - 2*r + 4. Let h be y(0). Let m(z) = 2*z**2 - z. Does 5 divide m(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26777 is divided by 1779?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 200\/720 - (-2)\/(-18)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12650 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and 61.4?\nAnswer: 1.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 9, 0.3, 3\/4, -0.53?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**7\/42 - 53*a**6\/30 + 8*a**3 - 65*a. What is the second derivative of q(c) wrt c?\nAnswer: -20*c**3 - 636*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21321331032 - 10?\nAnswer: 21321331022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 159.6420745 to one decimal place.\nAnswer: 159.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 2. Let l be g(1). What is the remainder when 40 is divided by ((-84)\/((-12)\/l))\/(4\/4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.54 or 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1 - l + l**2 - 3*l**3 + 0*l**3 + 0*l**3 + 4*l**3 + 0*l**3. Let t(h) = 7*h**3 + 2*h**2 - 4*h - 1. Determine -4*k(c) + t(c).\nAnswer: 3*c**3 - 2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + 0*y - y**2 - 5*y - 2 + 7*y to the form w + n*y**2 + g*y and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 88601 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 48029 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3750 by -150.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95859 - -21568237\/225. What is the common denominator of s and 87\/50?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 4*i + 28, -2*i + 6 = 5*w - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -429.046 - -18.986. What is i rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 32. What is x(-17)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -18*a**3 - 1128*a**2 - 3685*a\/2 - 1525\/2 = 0.\nAnswer: -61, -5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2099.077 - -25.\nAnswer: -2074.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 912 and 513?\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -347*p + 404*p + 9 - 2 + 810*p. Let t be m(2). Let l be (-1500)\/(-1)*(1 - t). What is l rounded to the nearest one hundred thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.27 + 0.07. Sort 0, 4, o in increasing order.\nAnswer: o, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20395 by 1.\nAnswer: 20395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422036*t**3 + 422012*t**3 + 0 + 0.\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -80323.8 and -1?\nAnswer: 80322.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79.92 or -3392?\nAnswer: -3392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132773.\nAnswer: 31, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -5*r + 5*p, 5*r - 9*r = p - 69. Calculate the lowest common multiple of r and 522.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 85778802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.49788 rounded to three decimal places?\nAnswer: 2.498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**6\/5 + k**2 + 8*k + 8. Let s(b) be the first derivative of a(b). Differentiate s(n) with respect to n.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.09 or 15782751?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 - -4 - (2093 - 1911)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -984746 and -0.11?\nAnswer: 108322.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-4)*10\/60*-76. Which is the nearest to -0.1? (a) 0.2 (b) 1\/2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 24. Let j = -26.00000013 + r. Round j to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22054 + -22044. Let w(b) = 6*b**2 - 58*b - 22. Determine w(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**2\/h*h)\/h)\/h)\/h**0*h**(1\/6)*h**(2\/5)*(h**(-1\/4)*h)\/(h**4\/h)*(h\/(h*h*(h*(h\/(h\/((h**(2\/3)\/h)\/h*h)))\/h)\/h*h))**19 assuming h is positive.\nAnswer: h**(-287\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2. Let f(i) = 6*i + 8. Let v(t) = -f(t) - 4*y(t). Suppose 5*s + 3*q - 13 = 0, 0 = 4*s - 3*s - 4*q + 2. Let l(j) = 2 + 3*j - s - 2*j. Give v(l(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**11*i)\/(i*i*i\/(i\/i**(-3\/11))))\/(((i*i\/i**(-2\/3)*i)\/i)\/i*i**(-5\/9)))**37 assuming i is positive.\nAnswer: i**(33559\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, f: 4, j: 1, e: 3, q: 3, s: 3}. What is prob of picking 2 f, 1 s, and 1 j?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1145*d + 5008 = -1137*d. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + 17 + -25 + 0 - 33.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3632000 to the nearest 100000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114542032 - -41?\nAnswer: -114541551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8070402 months in decades?\nAnswer: 0.006725335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 13*b + 9. Give g(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of 5*h**4\/24 + 2*h**3\/3 - h**2 + 5*h. What is u in w(u) = 0?\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 4 - j**2 + 4*j**2 - 4*j. Let x be b(4). Suppose 4*r + 80 = 5*t, 5*t - 59 - 21 = -x*r. Solve 4 = -4*l - t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5092307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2267, -8868, -19865, -35258, -55047?\n\"Answer: -2198*n**2 - 7*n - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*((-1*sqrt(288)*6)**2 + sqrt(288) + 1*(sqrt(288) + -2)) + 2.\nAnswer: 48*sqrt(2) + 20738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1137500 by -227500.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 13195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 5*t + 20. What are the prime factors of 1 + -1 + t + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688995 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 908\nAnswer: -9988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/420 and -7\/18?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478859?\nAnswer: 389, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/305)\/((-16)\/(-4000)*-50).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-1408)*8*-40?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 9*l = 0. Suppose l*t = 4*t - 68. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -100575?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -284, -618, -1000, -1430, -1908?\n\"Answer: -24*u**2 - 262*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.5 and -533.74.\nAnswer: 1334.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 1) + -5 + -12 + -18 + -9.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) 2 (c) 1.66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10323 - 10?\nAnswer: -10333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.33 (c) -22\/9 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - 3*u - u + u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7761866249 and 0.\nAnswer: -7761866249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 749*o*u**2 + 5572*o*u + 8*u**2 - u - 7860875 wrt o.\nAnswer: 749*u**2 + 5572*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjvj when four letters picked without replacement from ksjvjvvjjjv?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, -1, -4 in decreasing order.\nAnswer: 3, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/(-30)*9)\/(6\/16). Suppose r*g + 66 = -7*g. Let l(b) = -116*b + 13. Is l(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4620 + 4626. Let a(m) = 3*m + 10. Calculate a(h).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-121)\/726)\/(14\/(-8))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 227886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11736 divided by -6\nAnswer: -1956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) -0.013 (c) -2\/23 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -9. Let r(b) = b**3 + 274*b**2 + 4609*b + 290. Calculate the remainder when r(-256) is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 14*y**2 + 234*y + 2159. Calculate r(-9).\nAnswer: 1916","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a. Let h be s(5). Let g be (-744)\/(-36)*3\/(-10). Are g and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, g: 2, v: 11}. Give prob of picking 3 v.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Let o be (y - -23)\/(0 - -1). Let t = o + -11. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 12287?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5 - 61*d**4\/3 - 239*d**3\/3 + 553*d**2\/3 - 190*d\/3 - 24 = 0. What is d?\nAnswer: -4, -2\/9, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 6654*c**2 - 2971*c**2 + 588*c**2 + c.\nAnswer: -9037*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1)*(-2*o - 1 + 1) - 2*o + 2*o + 2*o - 3 + 38*o + 3 + 2*o + o - 3 + 2 to the form a + m*o and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9*w**3 - 33*w**2 + 28*w + 60. Let z(k) = -11*k**3 - 34*k**2 + 27*k + 62. Let r(q) = -5*j(q) + 4*z(q). Determine r(-30).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*q**2 - q**3 + 57*q**4 - 47*q**2 + 23*q + 3 - 55*q**4 to the form p + k*q**3 + t*q**2 + m*q**4 + r*q and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -734*a**2*i*n**2 + 2*a**2*i + 3*a*i*n - 2*a*i + 17*a - 4*i*n**2 - 2*i wrt a.\nAnswer: -1468*i*n**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2905074 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1618029*q**5 - 83346*q**2 - 3?\nAnswer: 97081740*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27243539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 14428678?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -1\/10, -3\/4, -4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -8, 24, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 165727769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 133665 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/4 + (-13)\/4 + -5. Let r be y + 360\/44 + (-26)\/22. Is r bigger than 4\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 68. Solve -p - 16 = 5*v, y*p - 40*p - 1 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 10*s - 3. Let x be o(10). Let c = 5 + x. What is the second biggest value in -5, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 + 20*p**2 + 109*p - 27. Give k(-8).\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/20 + (-35)\/(-4). Suppose 2*a + 21 = 4*a + 3*v, -3*v = a - 18. Is j + (-2 - -1) + a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1015*n**3 + 13*n**2 + 21*n + 318?\nAnswer: 6090*n + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*x**2 + 7*x**3 - 27*x**2 - 2381*x + 2377*x - 4*x**3 as y*x**2 + i*x + b + f*x**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 5:54 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 0 - 1\/12*u**4 - u**2 + u - u**3. Calculate h(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(5\/3))\/x)**(-1\/18)*(x\/x**(-2\/79))\/((x*x\/x**(-6\/17)*x)\/x) assuming x is positive.\nAnswer: x**(-102997\/72522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 562848.1 nanometers in kilometers?\nAnswer: 0.0000005628481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 22*d + 13 - 2*d**2 - 20*d)*(6 - 5 - 11*d + 3*d).\nAnswer: 16*d**3 + 334*d**2 - 26*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g - 3 - 4*g + 0*g + 5*g as u + w*g and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484669 is divided by 96930.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 187382 to the power of 1\/2, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 3*o = 0, n + 3*n - 2*o - 8 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 2. Let h = 289 + -289.1. What is the nearest to h in 0.2, -0.5, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -143 + 75. Let n = u + 68.01. Which is greater: -2\/13 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26828, -106343, -238544, -423431, -661004, -951263?\nAnswer: -1294208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 4:40 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18729 and 131103?\nAnswer: 131103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7\/1875 - -9389\/3750. Find g such that -2 - 1\/2*g**4 + 1\/4*g**5 - 5\/4*g**3 + g + y*g**2 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five halves of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157 - 157. Suppose -6*c = -3*c - 15. Solve c*h + 18 + 2 = o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1\/4, -4, -0.289?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50742 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2229*v*y**4 - 16473*v*y**2 - 2*v - 7*y**4 wrt y.\nAnswer: -53496*v*y - 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -f - 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 26. Let z = -0.8 - 0.2. Which is the closest to z? (a) -0.3 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2018, -8337, -18882, -33653, -52650, -75873, -103322?\nAnswer: -134997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*r + 135388*r**2 + 135407*r**2 - 1 - 270790*r**2 - 49*r.\nAnswer: 5*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 1. Let q be j(-3). What is the greatest common factor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*n**2 + 67*n**2 + 52*n**2 + 64*n**2 - 370*n**2 + 63*n**2 + 63*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 924368 by -231092.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -4.5. Let h = 1 - n. Let r = -23\/5 + 179\/40. What is the third biggest value in 0.5, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**4 - 5*g**2 + 22*g + 5*g**2 + 35*g**4 wrt g.\nAnswer: 456*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 + 21*c**2 - 14*c - 8. Suppose 4*g + 49 - 5 = 0. Let v be k(g). Solve 4*q + v = 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -177607 in decreasing order.\nAnswer: 7, 1, -177607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*z = -z + 18, 3*z = -5*x + 24. Let p be (-36)\/(-10) + (-12)\/(-30) + x. Solve 0 = 3*h - p - 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 31*b - 12*b)*(-1 - 2 + 1)*(0 - 2 + 3)*(-2 - 2 + 2) in the form h*b + l and give h.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 976*u = 6554 + 29558 for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*m - 19. Let z = m - -5. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 181923150 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**2 + x + 2. Let w(r) = -r**2 + 3. Let h be w(-3). Let g(i) = -13*i**2 - 2*i - 4. Give h*g(a) - 11*y(a).\nAnswer: a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/4*(-18)\/27. Suppose -s*k - 4 = -1. Is 13 a factor of (k\/2)\/((-7)\/1092)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**5\/19 - 4512*a**4\/19 - 77770*a**3\/19 + 1106928*a**2\/19 + 5216408*a\/19 + 5455200\/19 = 0.\nAnswer: -25, -2, 12, 2273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 584*k - 2880. Calculate t(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**2 + 424*p - 1760 = 0.\nAnswer: -110, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 10*m**3 - 17*m**2 + 3*m - 5. Let y(p) = 8*p**3 - 16*p**2 + 3*p - 6. Let t(q) = 6*x(q) - 5*y(q). Find the third derivative of t(z) wrt z.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -267981 + -2?\nAnswer: -267983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12323340 a multiple of 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 17*i**2 + 8*i - 9. Let o(t) = -t + 1. What is c(j) + 6*o(j)?\nAnswer: 17*j**2 + 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411105 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, 8, 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/8508830 and 107\/990?\nAnswer: 76579470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k**4 - 41*k**4 - 9*k**4 + (k**3 - k**3 + 2*k**4)*(4 - 6 + 3) in the form a + x*k + j*k**2 + r*k**3 + l*k**4 and give l.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(6\/5)*k)**38*(k\/(k\/(k\/k**(1\/6))))**10)**(-10\/9) assuming k is positive.\nAnswer: k**(-2758\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.5 - 17. Let x = f - -3. Which is the second biggest value? (a) 0 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 1, 10, 0.12 in descending order.\nAnswer: 10, 1, 1\/2, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10\/7, 5, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.031, 4 in decreasing order.\nAnswer: 4, 0.031, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4900320 = 130*n + 34*n. What are the prime factors of n?\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1643345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2534672\/318 - (-10)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*k - 240*k + 117*k - 10*k**2.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 36 = 3*t, -4*v + 3*t - 90 = -9*v. Calculate the remainder when 41 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g - 5*g - 2*g + 3*g. Let p be b(-2). Find the first derivative of -q**3 + 4 - 7 + p*q**3 wrt q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 4\/3, -0.07, 0.039, 3 in decreasing order.\nAnswer: 3, 4\/3, 1, 0.039, -0.07, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19 and -81.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 6:03 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 17*r = 18. Put -2, r, 8, 1 in ascending order.\nAnswer: -2, 1, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 4*c - 9*c**3 + 33*c**3.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)*2 + 5.\nAnswer: 5 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2689\/5 - -10341\/20. What is the common denominator of -11\/3714 and c?\nAnswer: 7428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 take away 8974131?\nAnswer: -8974123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*i*p**4 - 26*i*p**3 + 36*i*p**2 + 6328*i + 1 wrt p.\nAnswer: 20*i*p**3 - 78*i*p**2 + 72*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1982 and 552.\nAnswer: 547032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1680)\/1050)\/(4\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 20*h**2 + 20*h.\nAnswer: 5*h*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 4. Suppose 0 = 15*f - 18 - 267. What is the remainder when f is divided by b(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109 - 107. Solve -k*a = 4*j + 16, 8*a = 4*a + 5*j + 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -8. What is the remainder when (-62)\/(-3) - 2\/h is divided by (-4)\/(-6)*(5 + (-33)\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612 (base 7) in base 10?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5 - -0.5. What is the third biggest value in z, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**2\/9 + 3046*s\/9 - 29256 = 0.\nAnswer: 92, 1431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(30 - 14*x - 30)*(-2 + 3 + 0).\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 15*a - 1. Let q(n) = -175*n**2 + 30*n - 13. What is -2*k(r) + q(r)?\nAnswer: 2*r**3 - 175*r**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 360145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.202 * 0.9.\nAnswer: -7.3818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**3\/3 + 4*u**2 + 9*u. Let b be g(8). What is the highest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 - -27. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 25\/10*(4 + -2). Suppose f*b - 181 = -5*m - 71, 0 = -3*m - 4*b + 71. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2))\/c)**(-2) assuming c is positive.\nAnswer: c**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c + 4. Calculate d(8).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 2\/7, -8\/33.\nAnswer: -4, -8\/33, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1681 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 59?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 12*k - 5 - 12*k.\nAnswer: 3*k - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/126)\/(2\/(-4) + 1)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -620 - -7352. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -1, 2\/5, -18\/47 in increasing order.\nAnswer: -1, -3\/5, -18\/47, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5 = 7*x. Suppose -10 = -5*p - 2*b - b, 5*b = -5*p. Let t(v) = -1 - v + 9*v**2 - p*v + 6*v. Determine t(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -15*f**2 - 4*f - 19. Let v(j) = -4*j**2 - j - 5. Let m(x) = 2*a(x) - 9*v(x). List the prime factors of m(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 6\/5 (b) 8\/657 (c) 1 (d) 1\/5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0060793 to four decimal places.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 105*(60\/(-9))\/(-5). Let l(c) = -3*c - 3*c**3 + 3 - 1 + 0*c**2 + 5*c**3 - 3*c**2. Let b be l(3). What is the greatest common factor of b and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16481 - 3?\nAnswer: -16484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)\/(x*x**(-11)))\/((x\/(x**(-9\/4)*x*x*x))\/(x*x**(-1)*x)) assuming x is positive.\nAnswer: x**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 24*r - 19053. List the prime factors of r.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 484574*o**3 + 70507*o**2?\nAnswer: 2907444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 + 4*i**2 + 47 + 48.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 287494 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 361*j + 182*j + 2 + 36*j - 3 + 3 as m + f*j and give f.\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3*-2*(-5)\/165\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9727 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 73*s - 148. Calculate m(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5985 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1004086430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.059 - -9.341. Let z = -9 + o. What is the third smallest value in 5, z, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -169*v**2 - 166*v**2 - 5 + 5 - 7100*v**5 + 7319*v**5 wrt v?\nAnswer: 13140*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12942 divided by 3\nAnswer: 4314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 47*a**2 + 453*a - 452. Determine g(1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from jsyddsyyyyyyyydyd?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f - 34138 = 11*f. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -242 + 43. Let g = i - -199.000191. What is g rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1030*n + 226*n - 216*n + 61050 + 17490 for n.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-2)\/(-4))*-8. Solve 6 = -2*y, -4*q + 11 = -f*y - 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 784*i**2 - 833*i - 4941. Is 39 a factor of j(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2085567 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1112 - 3072. Round x to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-20))\/(304*14\/448)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/10)\/(3\/15). Solve 0 = 2*v + 2*f, 2*v = 5*v - 4*f - u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 238\/28)*6\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*t**3 - 20*t**3 - 7*t**3.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50340*a - 336*a**2 + 50340*a + (-1 - 1 - 1)*(2*a**2 + a - 4 - 3*a + 3).\nAnswer: -342*a**2 + 6*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98506837.8s in weeks?\nAnswer: 162.8750625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 1. Let c(k) = -k**2 + 3*k + 10. Let l(j) = c(j) + 4*z(j). Give l(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 332 (base 12) to base 15\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*1632\/2720*(-8)\/(-1650).\nAnswer: -2\/275","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*q**3 + 0)*(-2*q + 3 - 3) - 8*q**4 - 814*q**2 + 814*q**2 to f + v*q + m*q**4 + w*q**2 + x*q**3 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-7 - -3) - -8 - (-870 + 880).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3015636 is divided by 251281?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 12*n + 3. Let p be r(-13). Let j be (-86)\/p + (-4)\/(-10). Let o(t) = 8*t - 9. What is the tens digit of o(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1592*1.77\nAnswer: -2817.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(2 + (-5)\/2). Suppose -2*h - y + 586 = y, -3*h + 872 = -4*y. Let u be (-14)\/21 + h\/6. What is the highest common divisor of u and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 87\/(25\/10 + -1). Suppose 0 = -o - 2*l + 79, 6*l - 75 = -o + 3*l. What is the greatest common factor of o and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 0 - 2*i**2 + 0*i + 1\/9*i**4 - 1\/90*i**5 - 4\/9*i**3. Let n(f) = 0. Calculate f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 - 30. Calculate the highest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 11) in base 4?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43006093?\nAnswer: 13, 3308161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287*x = 312*x - 194275. What are the prime factors of x?\nAnswer: 19, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 8*w - 20. Calculate p(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 236318149?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b*b**(3\/2))))\/b*b)\/b*b)\/(b\/(b\/(b**9*b*b)))*b**(4\/7)\/b**(3\/4) assuming b is positive.\nAnswer: b**(-243\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**3 + 1035*f**2 + 4219*f + 14. Give y(211).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t - 1. Suppose 3*b - 353 = -t*u, -385 = -3*b + 4*u - 0*u. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeeeeze. Give prob of picking 2 e.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*u + 7*u - 78 = 0, 5*w - 4*u = 130. What is the second derivative of 4*a - 8*a**2 + w*a**2 - 15*a**2 wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 502 and 38403.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 3*m + 16, -3*y - 14 = -4*m + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 - -87. Differentiate -115*b - s + 8*b**2 + 115*b wrt b.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4486200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from {x: 8, v: 2, o: 2, c: 1, a: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.55 - -0.05. Let g = -4 - -6. What is the closest to y in 1\/3, g, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w**(-3\/11)*w)*w)\/(w\/(w\/(w*w*(w**(1\/4)*w)\/w*w))*w))**(-8\/17)*w\/(w\/(w**(-3)*w))*w**(-4)*(w**(1\/4))**(-1\/13) assuming w is positive.\nAnswer: w**(-49483\/9724)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 547*g**2*y - 3422*g + 20406932*y wrt g?\nAnswer: 1094*g*y - 3422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 7. Suppose 4*n - 20 = -3*z, n + 4*z - 26 + 8 = 0. Suppose -30687 = -5*j - 3*s - 145684, -46005 = n*j - x*s. Round j to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428894 to the power of 1\/2, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 528*c**2 + 1040*c.\nAnswer: 4*c*(c + 2)*(c + 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176 (base 11) to base 10.\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h**4 + 16721*h**3 + 14955213*h**2 + 4203483864*h - 700996144 = 0. Calculate h.\nAnswer: -1108, -571, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a*a\/(a\/(a\/a**1)*a))*a*(a**(4\/7)\/a)\/a*a)**(-2\/31)\/((a**(-2)*a**(-2\/29))\/(((a\/(a*a**(-3)))\/a)\/((a**(2\/3)\/a)\/a*a))) assuming a is positive.\nAnswer: a**(78761\/18879)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2637*v + 2875*v = 2380 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 1280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15408 = 3*u + 20658. Let q = 148978 - u. Round q to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 = -64*b + 1414 + 707 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 356.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477220 is divided by 9929?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 1\/1575*z**7 + 0 + 60*z**2 + 1\/45*z**4 - 1\/225*z**6 - 4\/45*z**3 + 0*z + 1\/150*z**5. Solve c(p) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - (-25 + 0))\/(1\/(-11)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-10) - 816\/(-20). Let i = x + -46. Let k(r) = -36*r - 21. Is k(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 19*a**2 - 16*a - 31. Let w be l(18). Is 3 a factor of (w - (-16)\/(-3))*(-170 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1946071427?\nAnswer: 1946071427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(10) - 3*sqrt(10))*-5)\/(sqrt(5) + (sqrt(55)*-2)\/sqrt(11)) + (sqrt(32) - sqrt(32)*1*5)*4 + 1)**2.\nAnswer: -148*sqrt(2) + 10953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92 or -1\/4?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-4 + (-11 - -5 - -10)) - 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/49? (a) -10\/21 (b) 1 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 26 - 112 = 0. Suppose 56*m - 57*m = 3*v - 113, -4*v + 554 = 5*m. Let b = l + m. Is 23 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -82.69451, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2154856567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**4 + 4*t**4 - 9*t**4)*(t - 2*t + 2*t) + 2*t**4 - 2*t**4 + 2*t**5 - 4*t**5 - 12*t**5 - 12*t**5.\nAnswer: -27*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -577071873, -1154143748, -1731215623, -2308287498?\nAnswer: -2885359373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spa when three letters picked without replacement from {s: 4, a: 7, p: 7}.\nAnswer: 49\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, h: 2, r: 1, o: 1}. What is prob of sequence orh?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000153808 to 6 decimal places.\nAnswer: -0.000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50490 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**3\/3 - 2*i**2 + i + 1. Let b be k(-4). Is (95 - (-1 - b))\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40848318 - 8?\nAnswer: 40848310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (24 - 5) - 3. Is (((-22)\/4)\/((-2)\/n))\/1 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -65, -4227, 0 in ascending order.\nAnswer: -4227, -65, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Let s(f) = 105*f**2 + 4*f + 1197. Give s(m(z)).\nAnswer: 105*z**2 - 4*z + 1197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19914, 39082, 58250?\n\"Answer: 19168*x + 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-2)\/(-3))\/1)\/((-36)\/(-594)). Suppose m*j - 251 = 79. Suppose 0 = 5*d - 28 - 52. Calculate the remainder when j is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 57 - 48. Calculate the highest common divisor of u and 1077.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*z - 5*w + 10, -2*z - 4*w = -22. Suppose z*c + 0*p = -5*p - 55, -19 = -c + 5*p. Let v be ((-1)\/3)\/(1\/c). Which is greater: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 27 - 6*m**3 + (2*m - 1 + 1)*(0 + 0 - m**2) + 4*m**3 - m**3 - 2*m**3 + 8*m + m**3 - 121*m**2 + 121*m**2 as b*m**3 + w + z*m + h*m**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368915 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*c**2 + 235*c - 235*c)*(-5 + 1 + 1 + 3*c**2 + (2*c - 4*c + c)*(4*c - 1 + 1)).\nAnswer: 23*c**4 + 69*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006819 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -212 - -2334\/11. Which is the third smallest value? (a) 0 (b) -5 (c) o (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.53 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + 36 + 60 - (-1 + 17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41.39 + -41. Let a = 3 - 2.6. Let f = t - a. What is f rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(36) + (sqrt(19) + (sqrt(171)*2)\/sqrt(9) - sqrt(19)) + (sqrt(38)\/sqrt(8) - (1 + sqrt(19) + -1)))**2 + 5.\nAnswer: 2479\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030 a factor of 847690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 351023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 16*j**2 + 48*j. Let p be y(12). Solve p = 13*v + 29 + 23 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -7*s**2. Let v(o) = -232*o + 36. Let i(q) = -117*q + 16. Let r(k) = 9*i(k) - 4*v(k). Determine p(r(g)).\nAnswer: -109375*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -29 - 6*h + 62 - h**2 - 26. What is the least common multiple of 20 and y(-3)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -3 (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 1 - g)*(11 - 4 - 3) to the form m + l*g and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23829388469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2))**29 assuming d is positive.\nAnswer: d**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1008, 2011, 3018, 4029, 5044, 6063?\nAnswer: 7086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3441 rounded to two dps?\nAnswer: 3.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1327865 - 756431 = -3*x, x + 4*h - 694747 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 871?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -1718, -5, 2 in increasing order.\nAnswer: -1718, -5, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1134 - 4*z**2 + 5*z**2 - 1160)*(2*z**2 + 0*z**2 - z**2) to q*z**3 + w*z + o + l*z**2 + r*z**4 and give l.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 132817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1060\/3661 - -2\/523. Let o = 1.7 + -2. Which is the third biggest value? (a) f (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2319, -4259, -6199, -8139, -10079, -12019?\nAnswer: -13959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 6*l**2 + 7*l - 8. Let y(g) = -g**2 - 19*g + 6. Let f be y(-19). Determine r(f).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqqq when four letters picked without replacement from dddddqqqddd?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -270*p. Let j(n) = -7*n**2. Determine s(j(w)).\nAnswer: 1890*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 3*j**2 - 3*j. Suppose 0 = -3*x + 4*m + 1, 0*m + 2*m = 2*x - 4. Let t(r) = -r**3 + 7*r**2 + 7*r. Give x*d(a) + 3*t(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 57372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2141072?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8033250821 + 8033250821 - 95*v**2 - v**3.\nAnswer: -v**3 - 95*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f + 1. Determine n(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-8\/3)*a\/(a**(-21)*a))\/((a\/(a\/a**(9\/2)))\/(a\/a**(-13)*a*a)) assuming a is positive.\nAnswer: a**(179\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -32.7314 less than or equal to -0.281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112279 = -26*y + 727866 - 109259. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 28. Let a be q(25). Suppose 0 = a*y - 12*y - 27. Let w be (-1)\/(6*(-1)\/y + -3). Solve -5*s = x - 7, x + s - 4*s = -w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 0*q - q + 1 + 0*q. Suppose -c = 0, 2*s + 3*c - 42 = -s + s. Let k(m) = -9*m + 7. What is s*v(w) - 3*k(w)?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46 + 82*u**2 + 80*u**3 - 45 - 82*u**2 wrt u.\nAnswer: 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -431 + 431. Solve 6*b + 3 - 9 = c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*z**3 + 260\/7*z**2 + 0*z + 0.\nAnswer: -2*z**2*(z - 130)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsxhdxhxggwxgdsssdsh. Give prob of sequence sgh.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 8. Suppose 0 = -a - j*a + 148. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44190732*r**3 - 35467280*r**2?\nAnswer: -265144392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**5\/10 + 5*q**4\/4 + 7*q**3\/6 - 2*q**2 - 20*q + 2. Let f be d(-7). Is f equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 496.999990123 + -497. What is b rounded to 7 dps?\nAnswer: -0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-8))\/(-2 - (-29)\/14). Let w be (-4419)\/(-63) - 3\/z. Suppose -338 = -2*m + w. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -14, -33, -32 in decreasing order.\nAnswer: -3, -7, -14, -32, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -144*1.609\nAnswer: -231.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1604398273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*x = -148, -2*s + 3*x - 14 = -159. Suppose -z = -h - 0*h + s, 2*h = 5*z + 121. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 683311 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**6\/20 + 9*q**5\/40 - 3*q**4\/8 + q**3\/4 - q - 13. Let o(m) be the first derivative of j(m). Factor o(g).\nAnswer: -3*g*(g - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -4 + (-52 - (20 - 28)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.853 times -0.02?\nAnswer: 0.01706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, 17\/2954, 1\/4 in ascending order.\nAnswer: -73, 17\/2954, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 13*o + 33. Let z be u(-10). Solve -z*w = 5*i + 5, 0 = 5*i + 5*w - 5 - 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012d (base 15) in base 14?\nAnswer: -14793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Suppose -15 = 3*m, 2*m - 3*m = 3*i - z. Solve 5*a - 2 = i*c, -2*a = 2*a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - c - 6. Suppose 4*n - 4 = 0, -s - 3*n - 6 = -4*s. Let i = -3 + s. Determine r(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*b + 147 - 36. Solve k + 13 = 4*w, -11 = 3*w - w + b*k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n = 4*g - 18, 2*g = -2*n - 30. Is -14 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*d = 30, -7 = 2*l - 0*d - d. Let k be l\/5 - 4045\/25. Is (-4)\/18 - 13806\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 162601.6354 from 3201.\nAnswer: -159400.6354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -388.26127 to 0 decimal places.\nAnswer: -388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1956.412 days in nanoseconds?\nAnswer: 169033996800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 0*r**3 + 0*r**4 + 0*r + 1\/260*r**6 + 1\/390*r**5 - 12 - r**2 - 4\/1365*r**7. Suppose m(v) = 0. What is v?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-28) + (-6)\/14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32347818*m**4 - 34347224*m**2?\nAnswer: 776347632*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g + 2. Let s(a) = 6*a + 6. Suppose 18*t - 21*t = -9. Let j(y) = t*s(y) - 7*u(y). What is j(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.768 times 0.1\nAnswer: 0.0768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 205 from -4.\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((12\/405)\/((-17)\/85))\/(-8 - (-44)\/6). Let t be (-2)\/(-10) - 27\/(-15). Factor -20\/9 + x*l**t - 2\/3*l.\nAnswer: 2*(l - 5)*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 2102417?\nAnswer: 2102414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (495\/891)\/(10\/(-6)*2\/(-8))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -10. Suppose -f + 15 = -20. Let s be (-7)\/(-56) + f\/(-152). What is the third biggest value in i, 1, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 44144?\nAnswer: -1\/11036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjjjjpjjppjjji. What is prob of picking 2 j?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of ((-11)\/((-99)\/(-36)))\/((-2)\/94)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x. Let t(m) = -4*m + 148430. Give t(w(o)).\nAnswer: 20*o + 148430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 21 - -30 - (36 - (-11 - -6 - 2))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 12, e: 3, d: 2}. What is prob of picking 2 t and 2 e?\nAnswer: 99\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1096.884 months?\nAnswer: 9.1407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 16*x - 3146 = 0. List the prime factors of x.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -14. Let z be -7 + (-1)\/((-1)\/3). Sort z, i, 0 in ascending order.\nAnswer: z, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 64, -991\/5, 37?\nAnswer: -991\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 11*u = -6. Solve k = 5*c + 10, 4*k - 24 = u*c + 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4\/28*7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(48\/45)*178\/(-9345)*350\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -9*d**3 - 8*d**2 - 13*d - 30. Let r be p(-6). Suppose 3*o - o + 1016 = 3*k, -5*k = 2*o - r. What are the prime factors of k?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/4)\/(1\/4). Let x be -4 + (0 - -4) - z. Let k be 1 - x*1\/(-1). Solve 3*v - 9 = k, -v + 17 = -5*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -3\/2*a**2 - 2 + 0*a. Let u(h) = -5*h + 0*h - 2*h + 5*h. Give u(l(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 90 = -10. Let n = 1245 - 935. Let r = 320 - n. Calculate the greatest common divisor of p and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -10*p**3\/3 + 11*p**2\/2 + p. Let d = 8883 + -8899. Is u(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 395 + -390. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-21 + (13 - 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2410131756 to the nearest integer?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18197 is divided by 18177.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxe when three letters picked without replacement from xxexxxxxxxxxxxxxxx.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l + 6. Let i(y) = 1 - 2*y + y + 0. Let p(k) = -c(k) + 2*i(k). Differentiate p(q) with respect to q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(300) + 1))*4 + sqrt(75) + (-2*(sqrt(75) - sqrt(75)*-2))**2.\nAnswer: -31*sqrt(3) + 2696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 0*h**3 - 1\/48*h**4 - 1\/120*h**5 + h**2 + 0 + 0*h. Factor u(m).\nAnswer: -m*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 325, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -19872939463741?\nAnswer: 19872939463743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670*f + 672*f + 8 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8123 is divided by 430?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 - -0.04. Let b = 254 + -258. What is the second smallest value in z, 0.4, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 27*z + 162. Give l(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 0.4. Let u be (1\/(-21) + 0)*-6. What is the closest to u in -0.1, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 580 divided by -145?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(4\/3)*v*(v\/(v\/v**(4\/7)*v)*v)\/v*v assuming v is positive.\nAnswer: v**(82\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1347 - 1346. Which is the second smallest value? (a) 703 (b) v (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 5*q**2 + 4*q - 5. Let b be d(5). Suppose -2947 = 32*n + 2237. Let z = n - -237. What is the highest common factor of b and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46979\/107760 - -51\/898. Calculate the common denominator of 29\/30 and s.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1069*j - 32*j**2 - 1069*j)*(-2*j**2 - j**2 + 2*j**2).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55081\/1152 not equal to 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100010211 (base 3) to base 9.\nAnswer: 70124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -629*n + 5 + 1260*n - 623*n.\nAnswer: 8*n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -3. Let w be ((-2)\/(-3))\/(2\/(-9)). Let f be -4 + 195\/27 + w. What is the nearest to -3 in f, n, -2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15 and -474399.9492.\nAnswer: -474414.9492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*f + 37*f + 20*f)*(-6*f**2 + f**2 - 4*f**2).\nAnswer: -666*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, -4, 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-14))\/(z\/(z**(-5)\/z))*z**2\/(z**(2\/9)\/z))**(16\/3) assuming z is positive.\nAnswer: z**(-2336\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 517739832 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a day in minutes?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2 + y + 9 - 14 - y**2. Calculate d(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -465*a*h**2*u**3 + 160*a*h*u**3 - a*h*u**2 - 128*a - 2*h**2*u**2 + h*u wrt u?\nAnswer: -2790*a*h**2 + 960*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*g - 10. Suppose -5 - 3 = -4*h. Solve -4*s + 5*w = -8 - 7, -g*s + h*w = -6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*f**3 - 1\/5*f**4 + 0 - 24\/5*f + 4*f**2 = 0 for f.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**20*c**(-1\/41))**38)**(-4) assuming c is positive.\nAnswer: c**(-124488\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(198\/12)*6\/16.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 2*j + 4. Let h = -5 - -7. Let f(t) = -t + t**2 - 6*t + 6 + 7 + 3*t**h. Let k(i) = -2*f(i) + 7*m(i). Determine k(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2453577077 less than -285?\nAnswer: -2453577362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.055 and -91086706285.6.\nAnswer: -91086706285.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 327182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + u. Suppose -4*m - 6 = j, -m + 6*m = -j - 7. Let n be k(m). What is the closest to 0 in n, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636036 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-95)\/285*27\/(-24). What is the third biggest value in v, -0.15, -1\/11?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, e: 1, a: 1, n: 1}. Give prob of picking 1 a and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253004997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15544*g - 22534 with respect to g.\nAnswer: 15544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 5 + 7 - 5*j + 2*j**3 - 5 - j to the form o*j + a*j**2 + i*j**3 + d and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 4*k - 1. Let p be c(2). Let n = p - -65. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 + 4*g**2 - 119*g + g**2 + 2 + 116*g as t + m*g + o*g**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 34872 = -5*j - 564, -3*a = -5*j - 34278. Is 100 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 880057535 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 207332800*c - 207332805.\nAnswer: 5*(c - 1)*(c + 41466561)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 4*y - 3*y + 16, 2*y - 3*l = -12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = 6*m - 10. Let n = 307 + -311. What is the nearest to m in 0.1, -1\/5, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4948880 by -5.\nAnswer: -989776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 126 - (-1)\/(4\/(-12)). Is 4\/24*2*q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (866*g + 1 + 0 - 15 + 14)*(-4*g - 3*g**2 + 4*g).\nAnswer: -2598*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + o**2 + 5*o + 3. Let y be b(-2). Suppose 2*x + 4*u + 20 = u, y*u + 8 = 3*x. Does 11 divide 2007\/36 - (-1)\/(x\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s - 21. Let w be o(-10). Let x = 28 + w. Calculate the remainder when 80 is divided by x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 0 - 2 - 5 - y. Let k(g) = -2*g**3 - 5*g**2 + 11*g - 22. Let x be k(-6). Suppose -5*o - 214 = -x. Determine u(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 0)\/((-2)\/14). Let q(n) = n**2 + 6*n + 5. Let v be q(0). Are y and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*w + 16 = 0, -5*w = 3*m - 23 + 6. Let t(n) be the first derivative of -6*n**2 - n + 1. What is the remainder when 20 is divided by t(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4840 - -4833. What is the smallest value in 2, n, 0.4, -0.4, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + -1.3. Let h = c + 0.2. Is h equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 14*o**3 - 2*o**2 - 7*o + 44. Let w(g) = -14*g**3 + 2*g**2 + 5*g - 52. Determine 3*r(c) + 4*w(c).\nAnswer: -14*c**3 + 2*c**2 - c - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 83.\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29111866?\nAnswer: 2, 7, 2079419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1616, 2691, 3792, 4931, 6120?\nAnswer: 7371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t + 16 = 0. Suppose -q + 128 = 5*h + 3*q, -4*h - 5*q + 97 = 0. Calculate the highest common factor of t and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.685, -2, -0.467, -5, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -3*a**5\/20 - a**4\/8 + a**3\/6 - 173*a**2 - 2*a + 1. Let t(g) = -14*g**2 - 5*g + 1. What is -8*o(d) + 5*t(d)?\nAnswer: 2*d**2 - d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m + 81 = 0. Is 27 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3))**(-2)\/(m\/m**5*m*m**(2\/21)) assuming m is positive.\nAnswer: m**(47\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 27486 + 10969 = 3*j, -5*j + 9618 = b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipkk when four letters picked without replacement from kkyiiyrkrkipyhi.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}