diff --git "a/data/dm_maths/full_data/10068_11255.jsonl" "b/data/dm_maths/full_data/10068_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10068_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What are the prime factors of 195195435?\nAnswer: 3, 5, 151, 86179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 9. Let z = 11.93 - x. What is z rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 37525232 and -0.2.\nAnswer: 37525231.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -41987*k. Let s(l) = 67*l**2 + l. What is i(s(y))?\nAnswer: -2813129*y**2 - 41987*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -121 - 114824?\nAnswer: -114945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 - (52 - -1 - (690 + -691))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l. Let t(y) = -21*y. Let x(b) = 10*b. Let q(j) = 4*t(j) + 9*x(j). Give z(q(c)).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -11\/540*h**6 + 2\/135*h**5 + 0*h**3 + 1\/168*h**8 + 2*h**2 - 2\/315*h**7 + 1\/27*h**4 + 0*h + 0. Solve l(s) = 0 for s.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i + 12. Let l be j(-3). What is the nearest to 1\/3 in 5\/2, -2\/3, l?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339 = 681*i - 708*i + 42 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 6*q + 2*q + (1 - 1 + 1)*(-3*q + q + q) + 4*q - 2*q - 3*q + (7*q + 5 - 5)*(0 + 0 + 2)*(1 + 3 + 4).\nAnswer: 108*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -z - d - 4*d, -4*d + 45 = 5*z. What is the second smallest value in -5, 22, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/10 - 2\/(-10). Let q be (10 + -1)\/(-3) - k. Let j be -1*(3 + q)*-1. Solve j*r = -5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58147504 to the power of 1\/3, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p - 46. Let u be v(-12). Let b be ((-2)\/(-3))\/((-2)\/(-6)). Let o(d) = -d**3 + 0*d + 5*d**b - 4*d + 2*d - u*d. Determine o(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 + 66. Let x = b + 101. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 540 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x - 30. Let g be s(-11). Suppose -g*j + 11*j = 0. Suppose 0 = -8*i + 4*i - 5*c + 32, -3*i - 3*c + 24 = j. Round i to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-10))\/((-2)\/(-5)). Let w be 45*(2 - 10\/m). Let z = -7 + w. Solve 3*s = -s - z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f**4 + f**3 + 1 + 1 + 6*f**4 + f**3 to the form s*f**3 + w*f**4 + z*f + r*f**2 + u and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31268137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73118 or 73115?\nAnswer: 73115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - l = -0*m + 19, -11 = -m + l. Suppose -4*j + m = -16. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(11) + 2 + 3 + sqrt(275))*3)**2.\nAnswer: 324*sqrt(11) + 3645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 2500*a**4 - a**2\/2 + 1. Let t(c) be the second derivative of y(c). Let p be t(-5). Round p to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 39*j - 125. Let x be k(-28). Let w = 365 - x. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83148 and 4428.\nAnswer: 748332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3 + 2)\/(12\/(-5028))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -5*k**3\/3 + k**2\/2 + k - 3. Let s be u(-1). Which is the third smallest value? (a) s (b) -1\/2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8*s - 19. Let k(v) = v - 1. Let j be (7 - 5) + -2*(-1)\/(-2). Let m(p) = j*n(p) - 5*k(p). What is the derivative of m(q) wrt q?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1994 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000464828 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/27)\/(4\/(-36)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*q + 57, -z = 3*q + 2*q + 87. Let r = 125 + z. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5373.274 milliseconds in nanoseconds?\nAnswer: 5373274000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4032011 (base 5) to base 14.\nAnswer: 197a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 5) + (-7 - 4) + -25 + 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-1) + (-6 - -4). Suppose -l*j + 6*j = -5*g + 91, 3*g = -j + 57. What is the remainder when g is divided by 0 + 2 + 7 - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 8*f**5 + 20*f**4 - 140*f**3 - 320*f**2 + 192*f = 0.\nAnswer: -4, -3, 0, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/10591 and -28\/110565501.\nAnswer: 773958507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 - 16*o**3 + 6*o**3.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + -78*8\/12. Let d = 59 + b. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.25 + 1.9. Let u = -0.15 + d. Let y = -0.5 + u. What is the third smallest value in -2\/17, y, -4\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -106.\nAnswer: 11\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1012.8 - -5859.1.\nAnswer: 6871.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrhrhhrrrrrchrccbb. Give prob of picking 2 c and 1 h.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:48 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -20*o + 67. Let a be p(5). Let h be a\/27*-3*39. What is the highest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61*i*j**4 + i*j - 18*i - 2*j**4 - 4*j wrt j?\nAnswer: 732*i*j**2 - 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 4*t**2 + 4*t**2 + t**2 - 2*t**3 + 2*t - 2*t + (-t**2 + 4*t**2 - 5*t**2)*(-4 + 4 - 2*t).\nAnswer: 4*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, q: 2, p: 11}. What is prob of picking 3 b?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110\/(-22)*706\/(-10)?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 44 (b) 3 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7 (b) 0.2 (c) -1 (d) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-464594)\/(-58617) - (-1 + 25\/27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 2*f - 28*f)*(-1 - 2*f**3 + 1) + f - 32*f**3 - 4*f + 38*f**3 - 2*f**4 to the form a + j*f**4 + y*f + v*f**2 + u*f**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kubbbkpgbbk. What is prob of sequence bbup?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -63*x**6\/10 + x**5\/20 - x**3\/2 - 35*x**2\/2 - 3*x + 19. What is the second derivative of m(h) wrt h?\nAnswer: -2268*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 50 = 2*w + 2*a, 0 = 3*w - 5*a - 81. Suppose -24 = -25*u + w*u. What is the remainder when 38 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 6*b**2 + 2. Let g = 2 - 3. Let p be ((2 - -4)*g)\/(-1). What are the prime factors of q(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014091505 rounded to 4 decimal places?\nAnswer: -0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 141642105 to the power of 1\/2, to the nearest integer?\nAnswer: 11901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, m: 1, k: 4}. Give prob of sequence km.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -287?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*v + 369 = 0, 3*d - 5*v - 207 = d. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1993 + -2076. Which is smaller: -1074\/13 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - l. Let i be 3 - 52\/20 - (-146)\/10. Suppose v + i + 39 = 0. Let r = v - -54. What is u(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k. Let z(h) be the third derivative of -h**4\/6 + 2*h**3 - 3*h**2. Let l(n) = -3*q(n) + z(n). What are the prime factors of l(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*u + 602, 481 = 8*i - 4*i + u. Calculate the greatest common factor of 90 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -4. Let x(o) = 3*o**2 - 2*o - 3. Let g be x(f). Let p = 24 - g. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1556?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 25*p + 14. Let y be j(-12). Let h = y + 327. What is the remainder when h is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npr when three letters picked without replacement from pnnnrcrnnnrrrncpn?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 901797251.\nAnswer: 73, 373, 33119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, w: 2, j: 2, t: 2, y: 1, o: 1}. Give prob of picking 1 o, 2 w, and 1 y.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -3. Let r(x) = x - 1. Let f(y) = -5*y + 2. Let o(a) = d*r(a) - f(a). Find the first derivative of o(z) wrt z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 15 + 4 + 11. Let l = -17 + 11. Let h(r) = r**2 - 13*r + 1. Let y(f) = l*h(f) - 78*q(f). What is the first derivative of y(p) wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 87.36745nm?\nAnswer: 0.00008736745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3197 and 152551249.\nAnswer: 3197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-3354))\/(4536\/(-7371))\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -2*f**3\/3 + 5*f**2 + 2*f. Let r(w) = -w + 3. Suppose 0 = -2*l - 2*j - 22, l + j = 5*j - 6. Determine l*r(t) + 3*k(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*s - 115. Let x = 43 + s. What is the highest common divisor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*h = 6, -2 = x + 3*h + 3. Let w be ((-16)\/12)\/(1\/12). Let b = x - w. Calculate the remainder when b is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6395 + 19186\/3. Which is the closest to 5? (a) s (b) -0.3 (c) -7\/530\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -16 - 48. Suppose -6*y + x = -136. Calculate the highest common factor of y and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((-2*sqrt(57))\/sqrt(3))**2 + -5)*4.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 15*v - 4. Calculate the remainder when h(7) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -35*x. Let m(z) = 3666*z. Determine m(i(t)).\nAnswer: -128310*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(637) + 2 + 0 + sqrt(52)\/sqrt(4) + 2)**2.\nAnswer: 112*sqrt(13) + 881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 1, q: 1}. Give prob of sequence qym.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -11*x**5\/30 - 13*x**4\/24 - 8*x**3 + 7. Let r(m) be the third derivative of t(m). Is r(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31489 plus 0.4?\nAnswer: -31488.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*u = -4*n - 16, -2*u + 14 = -2*n. Differentiate 4*k**4 - 3*k**4 + 2*k**4 + 6 - k**u wrt k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 10*y = -3*r - 2, 20*y + 2*r = -20. Is -29\/31 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -2290546426221?\nAnswer: 2290546426220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3089, -12664, -28623, -50966, -79693, -114804, -156299?\nAnswer: -204178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 56*k**2 + 351*k - 17. Calculate m(-6).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 176440 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: Suppose 3*q + 19 + 20 = 0. Let b(a) be the second derivative of a**4\/12 + 5*a**3\/3 - 8*a**2 + 2*a. What is the tens digit of b(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 13 (c) -1\/5 (d) 0.2 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/((-630)\/(-20)))\/((-3)\/7).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1468831?\nAnswer: 7, 13, 16141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w - 1176 = 9*w + 24*w for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 + 85. Let i be o\/55 + (-36)\/(-10). What is the third derivative of -88*j**i - 4 + 4 - 3*j**2 + 65*j**4 wrt j?\nAnswer: -552*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 438 - 270. Let i = x + -1178\/7. Let h = -2 + 2.2. Which is the nearest to i? (a) h (b) -3 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlsu when four letters picked without replacement from {s: 1, x: 5, l: 1, n: 5, v: 3, u: 3}?\nAnswer: 1\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-3)\/12*10. Suppose q*n = 0, n + 2*n = t + 1. Let a be t + 0 + -2 + 11. Calculate the greatest common factor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 970\/11 + (-10)\/55. Calculate the greatest common factor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*p - 50 = 30 + 28 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 4:29 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 14 = 6. What is the third derivative of 9*j**4 - 9*j**5 - 9*j**4 + 9*j**u wrt j?\nAnswer: -540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502527.\nAnswer: 3, 23, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4 - 23*k**2 + 2*k + 0*k**2 - 2*k**2 - 20*k**2. Let s be z(-3). Let o = 17013\/41 + s. Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 + 27*l + 39. Determine i(16).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 11:08 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 83\/5? (a) -0.5 (b) 49 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -31*v + 258. Give q(10).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -0.15, 0, -5, 5\/4 in increasing order.\nAnswer: -5, -3\/7, -0.15, 0, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 - 1 + 1)*(-f + 0 + 0) - 5*f**4 - 2*f**4 - 3*f**4 + (2*f + f**2 - 2*f)*(4*f - 4*f + f**2) + f**3 + f**4 - f**3.\nAnswer: -7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/3 - 6\/9. Suppose -n*g - 4*l + 7 = 0, 5*g - l + 4*l - 30 = 0. Let o(i) = i**2. Let y be o(1). What is the greatest common divisor of y and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -197*f**3 + 2*f**2*o**3 + 369*o**3 wrt f?\nAnswer: -591*f**2 + 4*f*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5151309738 to the power of 1\/3, to the nearest integer?\nAnswer: 1727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(204)*6)\/sqrt(12))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {j: 2, a: 11, w: 1}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + z + 14 - 10.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.19 - -0.09. Let t = 0 + l. Round t to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmmmmjmmmmmm?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -9*t + 84. Let n be k(-11). Suppose -186*h = -n*h + 6. Let u(c) = -6*c. Let w(i) = 7*i + 1. Determine h*w(x) - 3*u(x).\nAnswer: 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42265, -84550, -126829, -169096, -211345, -253570, -295765?\nAnswer: -337924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*z - 3395. Let h be z\/(-7) + 8\/(-28). Suppose -h - 25 = -2*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1029 and 2646.\nAnswer: 18522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2214\/(-1113) - -2)\/((-18)\/21). Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 757403 is divided by 604.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013333010 + 1200?\nAnswer: 1020000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 6*d + 4*o = -32, -3*o = 5*d + 29 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10593*b**3 + 10588*b**3 - 21183*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(5) - ((sqrt(50)*2)\/sqrt(10) + sqrt(5))) - ((sqrt(5) + -2 - sqrt(5)) + 1 + -2)) + 4)**2.\nAnswer: 140*sqrt(5) + 549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 352\/(-33) + 6\/9. Which is greater: -8 or d?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 38\/34 + (-4)\/(-2) + -3. Suppose 2*d + 14 = -0. Let n be (d\/21)\/((-2)\/3). What is the closest to n in g, 4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, g: 3, s: 3, p: 4}. Give prob of sequence gs.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 690 + -681. Sort i, -10, -2 in increasing order.\nAnswer: -10, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/27)\/((-8)\/72). Let o be (3\/1)\/(3 - 2). Solve -m = o*p + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173.3 rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -13*o**3 - 6*o**2 - 7. Suppose 0 = 5*r - 102 + 107. Let s(g) = -g**3 - g**2 - 1. Give r*y(x) + 6*s(x).\nAnswer: 7*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 2*r**2 + 3*r + 2. Let j be i(3). Suppose 2*w - w - 2*x = -4, 0 = -3*w + j*x. What is the highest common factor of w and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 104, -80, -352, -634, -848, -916, -760?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*u - 18 = 0. Let i be (-2)\/3*u\/4. Does i = -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*h**3 - 12 - 11 - 144*h**3 - 141*h**3.\nAnswer: 2*h**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47830, -47847, -47864, -47881, -47898?\nAnswer: -47915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a + 9779*a**2 - 4*a + 0*a + a - 9783*a**2. Determine x(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -53*k**3 + k**2 - k + 5. Let x(f) = 27*f**3 - 2. Let s(l) = 2*b(l) + 5*x(l). Let q be (-2)\/(-1)*(-2)\/(-4). What is the units digit of s(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**8\/7 + t**7\/70 + 47*t**4\/12 + 17*t**2 + 2. Find the second derivative of a(j) wrt j.\nAnswer: 960*j**3 + 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -20. Let w be 2\/(4*1\/(-30)). Let j = g + w. 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: Simplify -5*((sqrt(70) + 1*sqrt(70) + sqrt(70) + sqrt(70) - sqrt(70) - sqrt(70) - sqrt(70))*5)\/(-3*sqrt(490) - sqrt(10)).\nAnswer: 25*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 3*i + (2 + 3 - 4)*(-i + 2*i + i))*(5*i**2 + 0*i**2 + 0*i**2).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-583)*-1 - 0\/16. Do t and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ccccctcc.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6)*(0 + -3). Suppose -2*p - 24 = -4*o + a*p, -3*o + 2*p + 14 = 0. Suppose -f = -3*r - o*f + 5, 2*f = -3*r + 10. Put -2, r, 0.2 in descending order.\nAnswer: 0.2, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 162701494 and 0.023791.\nAnswer: 162701494.023791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 93268?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -7. Let z = -31\/80 + 3\/16. Sort 1\/5, y, z.\nAnswer: z, 1\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (1\/1*-1 - 17). Suppose w - 4*w - a = 0. Let s be (-6)\/(6\/5)*2\/w. Solve s*z + 8 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -12. Factor -z*t**2 + 2*t + 3*t - 2*t.\nAnswer: -3*t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94052 and 3688182.\nAnswer: 6718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-7)\/m*m**0*m*(m\/m**(1\/4))**(5\/2)*m**(-5\/3)\/((m\/m**(-8))\/m*m)*(m\/(m*m\/m**(1\/4)))**(5\/2) assuming m is positive.\nAnswer: m**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/2*0 - -2. Let h(c) = 3*c - 6. Let l be h(8). What is the highest common factor of t and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -643711 at least -643710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 56*i**2 - 7*i + 5*i - 2.\nAnswer: 56*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 162*d - 165*d. Let n(t) = -2*t - 6. Let b be n(-3). Suppose b = -m - d*m + 6. Let s(v) = -v**3 + 7*v**2 - 7*v - 1. Determine s(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by (-1353)\/(-9) + -10*8\/(-48)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2336 = -6*t + 2152. Does 68 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -2\/5, -0.6, -1.79?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103 + 112. Let o be 0 - (-15 + (-2 - -2)). Let d = 10 + o. What is the remainder when d is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c - 6. Let i(d) = -2*d + 7. Let y be -3*141\/72 + 3\/(-24). Let a(u) = y*i(u) - 7*b(u). Let w(r) = r**2 - 46. Calculate w(a(x)).\nAnswer: 4*x**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1749449, -6997806, -15745067, -27991232?\nAnswer: -43736301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from usuuuuuuuuusuuusuu?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/12 - (-880)\/(-6). Calculate the common denominator of 2*1 + f\/28 and -73\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + 2*s + s)*(2*s + 4*s - 7*s + (-s + 3*s + 0*s)*(0 - 5 + 3) + 64 - 64 - 6*s) as x + z*s + g*s**2 and give g.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 6:24 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5049 + -1886. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 578 + -543. Which is smaller: 23 or q?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126*j**3*s**2 + 2*j**3 + 78*j*s + s**2 wrt s?\nAnswer: 252*j**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 34209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*q**2 + 6 - 65*q**2 + 113*q**2 - 5 - 1.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 183? (a) 3\/7 (b) -0.2 (c) 0.5 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -173480 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6200\/(-620)*1\/(-10))\/(3\/(-309)).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388*f + 397*f = 1215. Calculate the remainder when f is divided by 53.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 17*m - 3798 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*y = y + 16, 0 = -3*m - 5*y + 12. Suppose m = 7*s - 5*s. What is the derivative of -6*f**2 + s + 15 + 0 - 4*f**2 wrt f?\nAnswer: -20*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4470, -4460, -4430, -4368, -4262, -4100, -3870?\nAnswer: -3560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 2*z**2 + 3*z - 1. Let k be b(-4). Let j be (-2)\/(-15) + (-6)\/k*59. Solve j*x - 5*x + 9 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.59095283 - 671.\nAnswer: -671.59095283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1008)*4*-2 + -2)**2.\nAnswer: 768*sqrt(7) + 258052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 32. Let w be (2\/1 + -3)*1. Calculate the lowest common multiple of x and 5 - (0 - (w - 1)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 83*v**2 + 6*v - 3. Let a be h(1). Let c = a - 83. Factor -8\/3*p + 0 - 70\/3*p**c - 16*p**2.\nAnswer: -2*p*(5*p + 2)*(7*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 735427 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0207 - 0.0793. Sort -0.09, j, 4\/9 in decreasing order.\nAnswer: 4\/9, -0.09, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 0.2, 1\/3, -5, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -13*m**4\/12 - m**3\/6 + 5*m**2\/2 + 4*m + 147. Let f(h) be the second derivative of n(h). Let u(k) = 2*k. Calculate f(u(d)).\nAnswer: -52*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4\/3, -8 in decreasing order.\nAnswer: -4\/3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2422?\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-12) + -37*4\/120.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*p + 120 = 0, -3*t + 109 = -2*p - 55. Calculate the highest common divisor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5402 - -8438. Is r a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 39, -0.07, 0?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179440.\nAnswer: 2, 5, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 1189432816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 5.3. Let p(l) = -l - 2 + 2. Let r be p(2). Sort -4, r, i in increasing order.\nAnswer: -4, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -1. Suppose 19*w - 7220 + 7201 = 0. Calculate the remainder when k is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*p - 3*s - 2*s, -s = -2*p - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -13*d**2 + 67*d - 5. Let r(j) = -20*j**2 + 99*j - 7. Let i(v) = -7*h(v) + 5*r(v). Let y(k) = -3*k**2 + 9*k. Determine -4*i(z) + 11*y(z).\nAnswer: 3*z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*o - 3428, 5*o - 17514 = -4*w - 3772. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2344 = 3*m, 2862 + 2998 = 5*y + 4*m. What are the prime factors of y?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1868 and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**2 - 2*z**2 + z**2)*(-25*z**2 - 301*z + 301*z) to the form p + k*z**2 + o*z**3 + q*z + j*z**4 and give j.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -2\/219, 4 in decreasing order.\nAnswer: 5, 4, 3, -2\/219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 22. Let q(o) = 17*o - 158. Let f be q(11). Let n be w(f). Let h(i) = 6*i**3 - 3*i**2. Let v(b) = 11*b**3 - 5*b**2. Determine n*h(z) + 4*v(z).\nAnswer: 2*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-116)\/29*6\/4 - -8. Solve -3 = b*q - q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 0*c + 0*c**2 - 1 + 1\/3*c**3. Let p(f) = 5*f. Calculate p(b(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11615, 11623, 11631, 11639, 11647?\nAnswer: 11655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 22*c - 17*c + 10, 2*y = -2*c + 24. Let m be (-40)\/(-28)*y - 8. Solve -m*x + 3*v + 25 = 0, -4*x + 9*x + 4*v = 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -12*n**2 - n - 1549. Let t(k) = -621*k. Give o(t(d)).\nAnswer: -4627692*d**2 + 621*d - 1549","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41525 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 191, 283, 373, 461?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + o**2 + 1 - 3 + 2*o**2 - 3*o + 3*o + (-10*o + 24*o + 8*o)*(-9*o - o + o).\nAnswer: -195*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*i + 90 = -45*i. Let a be 75\/10*(i\/25 - -4). Solve -a*s + 7 = -2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 198, -5, 4 in increasing order.\nAnswer: -5, 4, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 5137273.\nAnswer: 5137273.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2363 or -252790\/107?\nAnswer: -252790\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(3 + (36 - 2)). Let z be (-6)\/21 + y\/(-21). Let m = -0.8 + 1.8. Which is the third smallest value? (a) m (b) -2\/5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -129, -40, 107, 312, 575, 896, 1275?\n\"Answer: 29*o**2 + 2*o - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u = -2 + 26 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -53730*p + 14614556. Give l(272).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412*r + 1318 = -1154 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 1:15 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pfpppf. What is prob of picking 4 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 8*v**3 - 21*v**3 + 12*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.1 - 22. Let u = -0.1 + i. Which is the third biggest value? (a) 0.1 (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 71*h**2 + 16*h - 70. Give c(4).\nAnswer: 1130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**3 - 6*z**2 + 6*z + 124. Let w(d) = 9*d**3 + 13*d**2 - 13*d - 248. Determine -13*g(k) - 6*w(k).\nAnswer: -2*k**3 - 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d - 2. Suppose -c - 1 = 6*q - q, -3*q + 4*c - 19 = 0. Let x be s(q). Suppose -j + x = o, 5*j - 15 = 3*o - 0. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -15460523.\nAnswer: -4638156.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 553 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen fifths of a milligram in micrograms?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: -66*5\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*(-1 - (-29 + 0)) is divided by -19*(-2)\/4*2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*n = 777*n - 65296 for n.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 50050.05g?\nAnswer: 50050050000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 25*q + 5. Let i(n) = 51 + n**2 + 158 - 211 - 12*n. Give 2*b(f) + 5*i(f).\nAnswer: 3*f**2 - 10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from {b: 3, d: 1, q: 3, k: 6}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25647290, -51294580, -76941870, -102589160, -128236450?\nAnswer: -153883740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4345 (base 7) to base 10.\nAnswer: -1552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = -4*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u. Suppose -2*h = -s + 111, 2*s + 2*s + 5*h - 483 = 0. Let i(c) = 117*c - s*c + 3*c**2. Determine i(m(n)).\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4865 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*k = -125*k - 140. Does 37 divide 37\/(k*1\/(-147))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 31*x = -30*x + 31461, 5*f - 31462 = 2*x. Is f a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160245410, 160245412, 160245414?\nAnswer: 160245416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 31*z**2\/2 + 18*z - 62. List the prime factors of s(5).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/432480 and -79\/13515.\nAnswer: 432480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38767 * 6.6.\nAnswer: -255862.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*x - 4*l - l, 0 = 3*l + 9. Let g be 2 + 7\/(21\/x). Find the common denominator of ((-2)\/20)\/(g\/370) and 83\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 1581 = 4*y. Suppose 0 = 4*w - 0*w - 64. What is the greatest common factor of y and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5 - 15*s**4\/4 - s**3\/2 + 4*s**2 - 3*s\/2 - 1\/4 = 0. Calculate s.\nAnswer: -1, -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4742934 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 11 = 2*n - 7*h, -5 = -4*n + h. Let s = n + 0. Let g be (-54)\/(-45) + (-57)\/(-15) + -6. Put 5, g, s in increasing order.\nAnswer: g, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from uubupuuvbuluvu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390 divided by -26.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14\/27 - -83\/108. Determine g so that x*g**2 + 1\/4*g**3 + 0 + 0*g = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/10*148\/(-444). Put 2\/7, q, -679, 0 in decreasing order.\nAnswer: 2\/7, 0, q, -679","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 912868849.\nAnswer: 1579, 578131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -11. Sort -2, -0.4, n in increasing order.\nAnswer: -2, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30451\/4 greater than or equal to -7613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -848879*r**4 - 2018385*r wrt r?\nAnswer: -10186548*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*b + 7 + 16, -2*h + 22 = -2*b. Let n be 0\/(-1)*(-13)\/26. Suppose h*t - 18*t + 144 = n. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 divided by 4?\nAnswer: -149\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-350)\/2750*15\/(-2) and (-2)\/(-5) + 1002\/(-80).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 9:02 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.55663 weeks to hours.\nAnswer: 13197.51384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i + 136 = 3*j + 30*i, -j + 56 = 4*i. What is the smallest common multiple of 65 and j?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1100 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 - 30*g**2 + 20*g - 81. Does 37 divide k(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6897) - (sqrt(6897)*-1 - sqrt(6897) - sqrt(6897) - sqrt(6897)))\/(sqrt(15)\/(sqrt(5) + sqrt(45))).\nAnswer: 220*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 3*v = 1990 - 1941, 0 = 3*q - 2*v - 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10406?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.11, 290, 0.5, -5\/3, -2\/5, 1\/5, -0.2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u**2 - 55*u**2 - 19*u**2.\nAnswer: -57*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 12:50 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -0.5. Let x = 1.2 + -1. Is x less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q**2. Let z(j) = j**2. Let x(o) = -3*i(o) + 14*z(o). Let p(c) = 2*c. Give p(x(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 89281 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -111228*k - 1557195. What is n(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6031, -6009, -5983, -5953, -5919, -5881?\n\"Answer: 2*o**2 + 16*o - 6049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 12156*q**2 - 72792*q.\nAnswer: -4*q*(q + 6)*(q + 3033)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.6 + -29.6. Sort -0.3, -0.5, f, -1\/4.\nAnswer: -0.5, -0.3, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 583281?\nAnswer: 583284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**4 + t**3 - t**3 + t**3)*(270*t - 206*t - 559*t).\nAnswer: -990*t**5 - 495*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -13. Let q = 4 - 0. Let m = x + q. Put m, -1, 2 in decreasing order.\nAnswer: m, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*a - 0*a + 44 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243423850 and 850?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 5 - 7*b - b**3 - 9*b**2 + 0*b**3. Let c = -64 - -55. Let n be ((-9)\/(-2))\/c*12. Calculate k(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 1044 = -17*s. Let l(r) = -2*r**3 + 4*r**2 + 4*r + 3. Calculate the least common multiple of s and l(-2).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161220071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/10 + (-2 - 17433\/(-45))?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/404 and -173\/2244.\nAnswer: 226644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 821071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 566 plus 124021.16?\nAnswer: 124587.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -4323701.\nAnswer: 2\/4323701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8732 + -8469. Is z > -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 3*d + 0 - 6 = 0, 0 = -5*w - d - 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3*(-7)\/(-42)). Suppose s - 5*d - 331 = 0, -4*s - d = -i*d - 1392. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, m: 1, f: 5, w: 2, r: 7, n: 4}. What is prob of sequence wngf?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + -5. Let k be 69*((-7)\/(-3) + -2). Let r = l + k. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, -1\/3, -2.239?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -11*h**3 + 2*h**2. Let o(z) = 78*z**3 - 15*z**2. Give 15*f(i) + 2*o(i).\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**2. Let c(l) = 420*l**2. Give m(c(u)).\nAnswer: 882000*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.6 + -39.7. Let l = p + 21. What is the smallest value in 0, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 + -101. Let j = h - -21. Let q = -93 - j. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*g**4 - 27 - 267*g**5 - 2*g + 153*g**5 + 8 - 4 - 2*g**4 wrt g.\nAnswer: -2280*g**3 + 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + 0.1. Let a = 133 + -143.6. Let d = 10.9 + a. Put 0.1, j, -4, d in descending order.\nAnswer: j, d, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -11*b + 4 + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/21 + 372350*c\/21 - 372352\/21.\nAnswer: 2*(c - 1)*(c + 186176)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1145 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110967.\nAnswer: 3, 47, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27904 and 28669616?\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(28)\/sqrt(4) + (sqrt(70)\/sqrt(40) - sqrt(7)) - (sqrt(252) + (sqrt(252) - (-1 + sqrt(252))*-6)))*-1 + -1)*5*-3*5.\nAnswer: -7125*sqrt(7)\/2 + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(42\/2))\/(4\/432)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 508987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -8386*c + 670857. Calculate w(80).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0506 times 1?\nAnswer: -0.0506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -166\/3 + 56. Sort z, 1, 0.1, 6\/7, 2\/11 in decreasing order.\nAnswer: 1, 6\/7, z, 2\/11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**2. Let n(z) = z**2 - 15*z. Determine n(w(f)).\nAnswer: 36*f**4 + 90*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**5 + 22760*v**4 - 68324*v**3 - 295856*v**2 + 1160994*v - 819576 = 0. What is v?\nAnswer: -11383, -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 q when four letters picked without replacement from qlppqlqqpqqqqpqqpp.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 960000 - ((-7)\/1 - -7). Let i = -9 - -44. Suppose i*g + n = 32*g. Round g to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12042 (base 6) to base 13\nAnswer: -a4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005549597 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-10))\/(9\/(-45)). Is 20 a factor of 1170\/(5 - y)*(-12)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 155758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 7*a - 2 - a)*(3 - 2 + 7)*(2 + 0 - 3).\nAnswer: -16*a + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 11*d**2 - 5*d + 25. Let n be s(10). Let h be (0 + 8\/n)*(-390)\/520. Suppose i - 4*g - 1 + 14 = 0, -2*i - 4*g = -10. Which is smaller: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 2:16 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.5, 3\/2, -4, -532, 59 in increasing order.\nAnswer: -532, -4, -3, 0.5, 3\/2, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 w when four letters picked without replacement from kakkakwaakkwawv?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164898 is divided by 644?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -493 + 472.2. Let r = 20.73 + x. What is the third biggest value in -5, r, -12, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 90?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2059*n**2 - 3*n + 2 + 3*n + 0.\nAnswer: -2059*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 266973 * -16.\nAnswer: -4271568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**6\/360 - l**5\/120 + l**3\/3 - l. Let y(c) be the second derivative of w(c). Factor y(q).\nAnswer: q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 o when three letters picked without replacement from orboroojbboobjrbo?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -62.65 (b) 22.8 (c) 5 (d) 2\/7 (e) -4 (f) 0.4 (g) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/8 and 10\/8 + -1 - (-9709)\/(-6424)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 6*i - 3*i. Let t = i - 61. Suppose -t = 8*h - 29. What is the remainder when 3 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m + 2. Let n(x) = x - 1. Suppose 18*v - 69*v - 96 = -27*v. Determine v*n(k) + u(k).\nAnswer: 5*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = -18 - 6. Solve -4 = 3*f - 5*p, 4*f - t*p + 3*p = 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13248331?\nAnswer: 29, 37, 12347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2113, -4243, -6377, -8515?\n\"Answer: -2*f**2 - 2124*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -18*(-1)\/10*-5*-1. Let x(p) = -16 - v*p**2 - 3 + p**3 + 16*p + 9. Calculate x(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-4 - (6 + -48))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*6*4\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005667432 minus 126?\nAnswer: -126.005667432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**5\/60 + h**4\/4 - 2*h**3\/3 + h**2. Let k = 22 + -20. Let p be (8 + 0 - k)*-1. Determine s(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 2\/3, 1, 2, 18, -628, 0.09 in decreasing order.\nAnswer: 33, 18, 2, 1, 2\/3, 0.09, -628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omme when four letters picked without replacement from oooommeooooeomo?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -368.969066 to 0 dps.\nAnswer: -369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, u: 3, i: 5}. What is prob of picking 2 u?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -589914\/53, 24, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 3.4. Let r be -28 + 7848\/168 - 19. What is the closest to -1\/4 in -2, r, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1788348 and 30401916?\nAnswer: 30401916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 4*o + 3. Let i(h) = 3*h + 4. Let s be i(2). Suppose -g = -3*m + s, 1 - 14 = -5*m - 2*g. What is the units digit of n(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 931*l**6\/120 - 61*l**5\/15 - l**3 + 1782*l**2. Find the third derivative of i(f) wrt f.\nAnswer: 5586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40\/51 + -2\/17. Factor m - 1\/3*z**2 + 1\/3*z.\nAnswer: -(z - 2)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 147926.3um?\nAnswer: 0.1479263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 5\/6*h**3 - 1\/24*h**4 + 8*h + 4*h**2 + 0. Determine s(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 14*x - 8. Let o(k) = k**2 - 13*k + 7. Let f(t) = -7*o(t) - 6*q(t). Let d be f(6). Solve -3*p = -3*h - 0 - 12, -21 = d*h - 4*p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, v: 6}. What is prob of sequence oo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 - 87 = 3*v. Let z(x) = -3*x**3 - 4*x**2 - 5*x - 3. Let t(f) = -4*f**3 - 5*f**2 - 6*f - 4. What is v*t(b) + 5*z(b)?\nAnswer: b**3 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41 times -3?\nAnswer: 1.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (188 - 150 - ((0 - -2) + -5 + 4)) + 5.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89377?\nAnswer: 139, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 5*m**2 + m - 1. Determine h(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 135.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 13*n**4\/12 - n**3\/6 - n**2 - 3*n - 5. Determine g(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 7*p**5\/60 + p**4\/8 - p**3\/2 - 37*p**2. Let z be d(-2). Solve 2*i = -3*f + z, -4*f = 2*i - 17 - 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -303210020 (base 5) to base 2\nAnswer: -100101011001110100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1410505, 1410785, 1411065, 1411345, 1411625, 1411905?\n\"Answer: 280*m + 1410225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/11)*j*j**6)\/(j\/((j\/j**0)\/j))**(2\/57))**(-19) assuming j is positive.\nAnswer: j**(-4253\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 266467949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d. Let o(y) = -y**2 - 9*y + 2. Let h be o(-9). Let j be 15 + 2\/h + -4. Let r(c) = -c - j + 7*c + 12. Calculate s(r(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 463 - 446. Suppose q - 3*q + 2*c - 2 = 0, -q + 5*c - i = 0. What is h in 12\/17*h**2 + 0*h - 2\/17*h**q - 64\/17 = 0?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88\/1 - (-7)\/(28\/12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 304 and 17100.\nAnswer: 68400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13387, 26773, 40153, 53527?\n\"Answer: -3*d**2 + 13395*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, e: 7, d: 2, q: 3, z: 1}. What is prob of picking 1 e, 1 z, and 2 d?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2. Let l(v) = 3*v + 1. Let t be l(1). Suppose p - 2 = z - t, 20 = -p - 5*z. What are the prime factors of o(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 21. What is the second biggest value in 0.2, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 445 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + 82 + (-114 - -84)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**3 - 23*h**2 - 6. Let y(r) = 6*r**3 + 25*r**2 + r + 5. Let p(m) = -7*u(m) - 6*y(m). What is the tens digit of p(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*g - 30 = 0, g - 3*g + 9 = m. Put m, 19, -5, -4 in increasing order.\nAnswer: -5, -4, m, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1868\/75 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 496 + -406. Is (w\/8)\/(49\/1372) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13355\/10680713 + 2\/11497. Does p = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 5\/2, -1, -7\/5, -12, -0.5, -31.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 800805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/8))\/j*j*j**12*j assuming j is positive.\nAnswer: j**(113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53464081\/4 or -13366021?\nAnswer: -53464081\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258755 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + u - 4 = 0, 65*d - 13*u = 61*d - 52 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + -15 - -7) + 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/72)\/(980\/35)*99\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 9*o + 22 = 0. Let l be ((-5)\/2 - 0)\/((-3)\/54). Suppose b + 2*s - l = 45, o*b + s = 180. What is the greatest common divisor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/((-140)\/30))\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 31 = -3*d, -88 = -d - 3*a - 86 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79 (base 13) to base 11.\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 24, 4\/11, -82 in decreasing order.\nAnswer: 24, 4, 4\/11, -2, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 37. Let y = u - 13. Let v = y - -32. What is the remainder when v is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 24.9, 5\/3, 4\/9, -3, 0.4 in descending order.\nAnswer: 24.9, 5\/3, 4\/9, 0.4, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6789 + -6789.2. Let l = 0 + 13. Let k = l - 9. Which is the closest to -0.1? (a) k (b) -2\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 7, 22, 43?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23972, -23972, -23974, -23978?\n\"Answer: -y**2 + 3*y - 23974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6836509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69 by 1377700.\nAnswer: -3\/59900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/7)*(s**0*s)\/s*s)**(-1\/4) assuming s is positive.\nAnswer: s**(-9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(5145\/315))\/((-2)\/126).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 7*k - 46 = -132*f + 109*f, 2*k = 8*f - 0*k - 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -12*j**2. Let g(p) be the third derivative of 11*p**5\/60 + 356*p**2. Determine g(a(h)).\nAnswer: 1584*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.03 + -0.03. Let i = -0.5 + 0.3. Let q = i - -0.6. What is the third smallest value in z, q, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 275 and 517.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 52869528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.028 - -6.311. Let a = n - -0.017. What is a rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 2\/7, -16, -3\/7?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -125*k + 145*k - 24300. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241235449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3 (b) 2\/7 (c) -12894\/551\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 7:35 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9243 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1059 + 542 + 517 + v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 543 divide 653772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**3 - 9*u**3 - 125*u**3.\nAnswer: -127*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -19 + 31 + -28 + 34\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - g - 12. Let n be (0 - 2)*(g - 25). Let a = -29 + n. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27.089 - 0.111. Let h = p + 27. Which is the biggest value? (a) h (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.01 + -0.01. Let o be -5 + 3 + 51\/6. Let w = 9 - o. What is the nearest to w in i, 0.3, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37260 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18d5 (base 15) to base 2\nAnswer: -1010011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321*d**3 - 425563 + 212780 + 212783.\nAnswer: -321*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or 0.48864?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033 (base 6) in base 11?\nAnswer: 1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 14*f**2 - 16*f - 16. Calculate the remainder when 64 is divided by v(-13).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94462 to the power of 1\/2, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*a*s**2*x**2 + 4*a*s**2*x + a*s*x - 2*s**2*x**2 - 2*s*x**2 - x**2 + 37 wrt s?\nAnswer: -30*a*x**2 + 8*a*x - 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16300 = 2*y - 0*y. Let c = 37850 + y. What is c rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 = -3*n - 2*r, -2*r + 412 = -5*n + 67. Let p = 87 + -127. Let b = p - n. What is the greatest common factor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64383 - 40906. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -6. Suppose 0 = 3*n - 3*m + 9, 2*m - 5 - 4 = -n. Let l(r) = 0*r**2 + 1 + n - 1 - r**2 - 6*r. Calculate l(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-24)\/(-180)*(-2)\/4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/182*42\/8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -13394756*y**2 - 2*y + 5. Let h be g(2). Let x = -30479023 - h. Round x to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15\/4 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2211101 (base 3) to base 6.\nAnswer: 13314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 4 + (0 - (7 + -9) - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pped when four letters picked without replacement from ydwdpddepeyddwy.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*l + 15*l + 15*l)*(-4*l**2 - 43*l**2 - 27*l**2) in the form y*l**2 + o*l**3 + s*l + d and give o.\nAnswer: -1332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92*a**4*u**2 - 16356*a + 1338*u**2 + u + 406 wrt a.\nAnswer: -368*a**3*u**2 - 16356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9*p. Suppose 5 = d + 2*t, -5*d + 12 = -2*t + 47. Let i(q) be the first derivative of -14*q**2 + 3. Let f(k) = d*i(k) + 16*h(k). Give f(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 - 204254638*s.\nAnswer: -2*s*(s + 102127319)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13, -26, -39?\n\"Answer: -13*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2 - 3*y + 6*y - y. Let j be k(2). What is the third derivative of 2*h**j - h**4 + 0*h**4 - h**4 wrt h?\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -245, -548, -1373, -2984, -5645?\n\"Answer: -44*w**3 + 3*w**2 - 4*w - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-204)\/(-8))\/(3\/16). Let p be 9\/3 - 25*-6. Let o be (-4)\/(-6)*p\/6. Calculate the greatest common divisor of f and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 5*c + 8*c - 5*c - 3*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -167, -0.5, 2?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/22 and -87\/7654?\nAnswer: 84194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -8*n**2. Suppose 3*a + 0*a = 6. Let w(v) = a*v**2 + 2 + 0*v**2 - 2. Give w(j(h)).\nAnswer: 128*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(418\/231) + (-1936)\/(-96).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -44 and 5.7813.\nAnswer: -38.2187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 3*g. Let n be q(0). Suppose n*z + z = -d + 44, -3*z = 4*d - 180. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -w + 2*t - 46, -3*w + 5*t = 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58730, 132971, 207214, 281459?\nAnswer: 355706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354121.\nAnswer: 354121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 3:09 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57129423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1193 = 2*p + 13*i - 18*i, 3*p - 5*i = 1787. Calculate the highest common factor of 1458 and p.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from qpttwaw?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17631279 to the power of 1\/2, to the nearest integer?\nAnswer: 4199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 1785?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 15*a. Let r(z) = -148*z**2 - 4*z + 12. What is m(r(y))?\nAnswer: -2220*y**2 - 60*y + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k*m*x + 3*k*s**3*x - 761*k*x**2 + m*s**2 - 2*m*x + 87*s*x**2 wrt s?\nAnswer: 9*k*s**2*x + 2*m*s + 87*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13095644?\nAnswer: 2, 17, 192583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -7c8?\nAnswer: 7c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - -11002?\nAnswer: 10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 6:01 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/30 - -3)\/(18\/(-63)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 5:02 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 15. Solve 15 = -b*x + 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8906)\/(-73)*45\/(-90)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -174*p**2 - 170*p**2 + 1 - 3 + 345*p**2. Give c(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1531 + -58?\nAnswer: -1589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - s - 18, s = -2*d - s + 24. Suppose d = 6*l - 21. Solve -4*a = -a - l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621185105?\nAnswer: 5, 73, 1701877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12418954 to the nearest integer?\nAnswer: 3524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**3 - 18*d**2 + 33*d - 109. Factor f(b).\nAnswer: 3*(b - 11)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3631516 divided by 518788.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20223826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2976 - -8845\/3. Let k = n + 28. Which is the closest to k? (a) -4\/3 (b) -2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 23*q**2 - 62*q - 63. Let r be i(-20). Suppose -2*a = -5*a + 81. Let b = a + r. Calculate the greatest common factor of 6 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 16*u**2 - 14*u - 22. Calculate z(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = m - 2752. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 >= 2193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 135617183 - 135617183.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132015*a**3 + 131990*a**3 - 263985*a**3.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48 and -71\/627.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*p + 87*p - 47*p in the form f + b*p and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 15*j - 14*j - 18 = 0, -4*c - 14 = 2*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o = 10. Suppose -1 = o*a - y + 7, 3*a + 17 = 4*y. Suppose -5*k + 5*v - 5 = -0*k, -4*k = -5*v + 2. Is k > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/14*-1 - 2\/7. Solve -3*j + 2*j + 4*d - 3 = 0, -5*d - 10 = -o*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 997*t**2 - 1999*t**2 + 1010*t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1442 or 1446?\nAnswer: 1442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by -2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 divided by 50773?\nAnswer: 132\/50773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 270905 - 270837.0265. Let h = -68 + p. Let b = -0.03 - h. Round b to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9 = -3*d - 0*d, u = 2*d. Solve -4*p - 3*r - 1 = -0*r, u*p = 2*r - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542550.\nAnswer: 2, 3, 5, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4820)\/(-32294)*5*3\/75?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 75484504 to the nearest 1000000.\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 163*l*u**5 - 1646*l*u**2 - 5*u**5 wrt u.\nAnswer: 9780*l*u**2 - 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**3\/3 - 2*g**2 + 3*g + 2. Let y be v(3). Suppose y = -3*s + 4 + 35. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/4 + 695*m**2\/2 + 9769*m\/4 + 6985\/2.\nAnswer: -(m - 1397)*(m + 2)*(m + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5 = 3*w. Let s = 15 + -16.2. Let d = -1.1 - s. Which is the closest to w? (a) 2\/11 (b) 2\/17 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366564 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 2 + 6*o)*(-2*o + 2*o + 5*o**3) to the form l*o**4 + h*o**2 + m*o**3 + u*o + j and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2650456916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 17*t = -33. Determine a, given that -1\/2 + 1\/2*a**2 - 7\/4*a**t + 7\/4*a = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 32856.3g?\nAnswer: 32856300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4) + 3\/(-12). What is the smallest value in -2, g, -1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 233\nAnswer: -46\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5 = 2. Let g = 0 + c. What is the units digit of 2*g*14\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 2 - 2 - 4 + 4 + j + (3*j - j + 0*j)*(4 - 1 - 4) + 4*j - 5*j - j)*(13*j**2 - 6*j**2 - 5*j**2).\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 + 10*r**3 + 5*r + 4*r**4 - 8*r**3 - 5*r**3 wrt r.\nAnswer: 48*r**2 - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 0 + 0)*(-o**3 - 13*o**2 + 13*o**2) + 2*o**4 + 4*o**3 - 4*o**3 - 2 - 4*o**4 + 2 + (o**3 - o**3 - o**3)*(-3*o + 2*o - o) - 3*o**4 + o**4 + o**4.\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -2\/13 (c) -1 (d) 1067982\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15608 + 7800 + 7808 - 7800*i.\nAnswer: -7800*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1280) - (sqrt(1280)*-2 + 5)) - -5*(2 + 2*sqrt(1280)))**2.\nAnswer: 416*sqrt(5) + 216321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-27)\/3456)\/((-5)\/810) and 7\/1032?\nAnswer: 8256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -45 (b) -95 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 + -3 + (-433782)\/108)\/(3\/(-18))?\nAnswer: 3, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*t - 29439 + 29439)*(6*t**3 + 4*t - 4*t + (-t**2 + 2*t**2 - 3*t**2)*(0*t + 0*t + t)).\nAnswer: 312*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q - 9. Let f = 23 - 26. Let m = f - -9. What is t(m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80306958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-4*b + 4*b - 2*b) - 4*b + 2*b - 4*b + 7*b - 3*b - 2*b + b + 3*b - b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 132 = -5*m, -3*m + 2*m = 5*u + 220. Let p = 97 - u. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 927*c**2 - 401*c + 2833. Is n(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11 + 1 + 1 + 0. Let l be (3\/i)\/(16\/36). Let m = -8 - -4. Which is the smallest value? (a) -2\/13 (b) m (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Let o(r) = r**2 + 8*r + 12. Let l be o(-7). Solve -l*m = 11 + 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 16*b - 6. Let w(q) = -q - 3*q - q + 1 + 2*q. Let s(z) = -4*v(z) - 22*w(z). Find the first derivative of s(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8049201 to the nearest integer?\nAnswer: 2837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1554\/(-28))\/3 - -18. What is the nearest to t in 5, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 378 + -216. Let x = -90 + h. Let o be 2 - (0\/2 - x) - -1. What is the greatest common divisor of 30 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-2\/3)\/h)**(2\/35))**(-46))**(-3\/11))**24 assuming h is positive.\nAnswer: h**(-2208\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -252 + 537. List the prime factors of w.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 245, 154, 67, -16, -95?\n\"Answer: 2*c**2 - 97*c + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 914?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1135.571kg to nanograms.\nAnswer: 1135571000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 2536 = -2386 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-6*(-32)\/84 + -2). Suppose -3*m + 10840 = b*m. List the prime factors of m.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 210726?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 40, 67, 116, 193, 304, 455, 652?\nAnswer: 901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 835*l**2 + 258*l - 24306.\nAnswer: 1670*l + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20216*a**2 - 40559*a**2 + 20345*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2600, -5553, -8496, -11435, -14376, -17325?\nAnswer: -20288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 4*s**3\/3 - 1. Let n(p) = -p + 0*p + 0*p. Determine q(n(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -64099?\nAnswer: 5\/64099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 263, 15, 1\/4, -3, -41?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.23152ns in microseconds?\nAnswer: 0.07323152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636399967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -88 + 91 + -44 - -12.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 16. Let i = d - -23. Let l = 0.066 + -1.066. What is the nearest to 2\/7 in -0.5, l, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from dddbbbdbdbbb.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggdddddg. What is prob of picking 4 g?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 = a, -3*a + 0*s - 5*s = 3. Let c be ((-1)\/2)\/((-48)\/3). Which is bigger: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -214 - -219. Suppose p*a + 2*u - 216 = 174, 4*u = -3*a + 248. Is 31 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 171\/760*(-368)\/(-69). Find v, given that 2\/5*v**3 - 8\/5*v + 0 + i*v**2 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33455853 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-1\/11)*b**(-3\/29)*(b**(-21)\/b)**26 assuming b is positive.\nAnswer: b**(-182153\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/5573 + 105923\/100314. Let q be 27\/5*(-421 + 0). Let b = q + 181447\/80. What is the common denominator of o and b?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 57 = 5*a, 0 = a + 3*a - 2*b + 44. Suppose -x = -7 + 34. Let n = x - -18. Is n equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 k when three letters picked without replacement from {w: 3, e: 12, k: 3}.\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 2*o + 16, -21*o = -13968*l + 13964*l - 268 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1.8126, 7.766 in descending order.\nAnswer: 7.766, 5, -1.8126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 10 + 12 + 5*v - 2*v + 5. Let c be d(-11). Let z(g) = g**3 + 6*g**2 + 4. What is z(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 0 - (5*(sqrt(208) + sqrt(13)))**2)*-3.\nAnswer: -36*sqrt(13) + 24375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(0 - (0 - 1)). Suppose 0 = 3*w - 5*z - 8, 3*w - 3 = z + 1. Let c be (-11 + w)*2\/5. Sort p, 3, c in decreasing order.\nAnswer: 3, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.034316789 to 4 dps.\nAnswer: -0.0343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 12:30 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2 + 5 + m**2 + 0*m**2 - 2*m. Suppose 2*t - 4 = 2*r, -116*r + 111*r = 5*t - 40. Calculate s(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 1:36 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*m + 8*m + 660. Is (68\/(-5))\/((-4)\/m) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 3*v - 2*v**2)*(-14*v**3 - 59 + 59).\nAnswer: 28*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 5*t**6\/2 + 69*t**5\/5 + 15*t**4 - 12*t**3 + 42. Suppose m(l) = 0. Calculate l.\nAnswer: -3, -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w**2 - 6*w + 18. Give f(-7).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide ((-2)\/(-5))\/((-5)\/(-625))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/12144*1212 - (-324)\/(-144).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from wobbbmoocbmwmwmmmwmo.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 87.4152 millimeters?\nAnswer: 0.0000874152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000038284073 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 261419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1512, 70, 7, 6 in decreasing order.\nAnswer: 70, 7, 6, -1512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9431799 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13293 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**1\/z*z*z))**29\/(z**(5\/2)\/(z*((z**(-5\/4)*z)\/z)\/z)))**19)**7 assuming z is positive.\nAnswer: z**(-32851\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*s**2 - 2)*(1 - 3 + 1) - 3*s**2 + 2*s**2 + 3*s**2 + (8*s - 6*s - 3 + 0)*(2*s + 4 - 5*s - 3).\nAnswer: -2*s**2 + 11*s - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1114 + -1134. Let y(u) = -15 - 3*u - 11 + 6. List the prime factors of y(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r - 22*r = 117*r + 5846 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9780 and 81500?\nAnswer: 244500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 6. Let x = 18200649\/19 + -957929. Let l = 3.3 - 3. What is the fourth biggest value in 6, f, x, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 41*b**2 + 4*b - 8. Let f(r) = -39*r**2 - 5*r + 10. Let g(m) = -4*f(m) - 5*x(m). Let k(d) = -12*d. What is g(k(j))?\nAnswer: -7056*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (55 + 0)\/(0 - -1). Let t = -25 + j. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*k**2 - 739*k**3 + 53*k**2 + 4*k**4 + 2*k**4 + 718*k**3 wrt k?\nAnswer: 144*k - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/31456544 and 5\/49616.\nAnswer: 31456544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12, 33, 68, 117?\n\"Answer: 7*i**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-780)\/(-5))\/(((-554)\/3878)\/(2\/28))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**5\/180 + 57*g**4\/8 - 1287*g**2. Suppose r(v) = 0. Calculate v.\nAnswer: -513, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -21*c**3 + 3*c**2 + 10*c - 3. Let l(g) = 20*g**3 - 2*g**2 - 9*g + 2. Let r(u) = -3*l(u) - 2*n(u). What is the second derivative of r(p) wrt p?\nAnswer: -108*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 53. Is p\/11 + -1 + 17 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.9 + -2.18. Let r = v + 0.08. What is the closest to -0.1 in r, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10))**(-14\/3) assuming q is positive.\nAnswer: q**(140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5924934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 21 = -3*z, -x + 4*x - z = -23 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 - 10086\nAnswer: -10085.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-8) - (26034\/3312 + -8). Is 0 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 2*i**3 + i**4)*(-i - 1 + 1) + (0*i + 2*i - 4*i)*(7*i**2 + 0*i**2 + 2*i**2 + i**3)*(-5*i - i + 2*i).\nAnswer: 7*i**5 + 72*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (184\/32)\/((-1)\/4). Let g = m + 21. Let o(i) = -10*i**3 - 2*i**2 + 2*i. Is 19 a factor of o(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, 488, -2\/2363, 2 in ascending order.\nAnswer: -2\/2363, 0.2, 2, 5, 488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - k**4 - 2)*(7304 + 60*k - 7304).\nAnswer: -60*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0, -4, 2.5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5388*r + 5388*r - 2*r**3 + r**2)*(-98 + 98 + 5*r**2 + 4*r).\nAnswer: -10*r**5 - 3*r**4 + 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0. Let o = n + 0.4. Let k = -33.1 - -33. Which is the closest to k? (a) -0.4 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**2 - u + 2. Let x be z(1). Suppose x*w = -5*n + 9 + 6, 5*n = 3*w + 31. Is -4 + 241 - (-1 - w) - -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2466295 at most as big as -2466295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g. Let m(w) = 518*w**2. Determine q(m(h)).\nAnswer: -1036*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(231) + (sqrt(231) + sqrt(231)*3)*2)\/sqrt(11))\/(sqrt(847)*-2*6 - sqrt(847)))**2.\nAnswer: 243\/20449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4448, 8789, 13124, 17453, 21776?\n\"Answer: -3*p**2 + 4350*p + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 1\/9 (c) 0.2 (d) 5 (e) -16657.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**7\/3 - 19*f**4\/12 - 7*f. Find the third derivative of k(t) wrt t.\nAnswer: -840*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36, 50, 78, 126, 200, 306, 450, 638?\n\"Answer: i**3 + i**2 + 4*i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -12.9, 1\/4, -3 in ascending order.\nAnswer: -12.9, -3, 1\/4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4302 + 0.0302. Let t = 799\/9 + -89. Which is the smallest value? (a) h (b) t (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -0.3. Sort s, 4, -2 in decreasing order.\nAnswer: 4, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 + 55*x**2 + 243*x + 9545. Calculate l(-29).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3\/7 - 195\/(-35)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30947319077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/7*m**2 + 0 - 4\/7*m**3 + 0*m.\nAnswer: -4*m**2*(m - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56141238 - 8679*t - 56141238 as f*t + a and give f.\nAnswer: -8679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 804*a + 2109*a - 800030 = -657*a - 3703*a for a.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31.75307t?\nAnswer: 31753.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 1017405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62486014.\nAnswer: 2, 31243007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 5611 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16639064 divided by -3224.\nAnswer: -5161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 142181227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 5:12 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 + -24. Let h = a - 17. Let v be 0\/(h - (-1 - 1)). Solve 5*q - n = 0, v = n - 5*n for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3 + 1. Suppose -q + 12 = -2*p, 0 = 2*q + n*p + p - 3. Solve 0 = q*d - 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*b + d - 7 = 0, 3*d - 6 = -b. Let p(q) = -q**3 + 7*q**2 - 6*q + 4. Let r be p(6). Let k be (-2)\/4*r\/(-8). Sort -4, b, k.\nAnswer: -4, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525931521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -152 + 151.999999604. What is x rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/(l*l**(-7\/2))))\/(l**(-2\/5)*l)*(l\/(l\/(l**(8\/3)*l)))\/(l\/(l\/l**9)) assuming l is positive.\nAnswer: l**(-223\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 21967.08ml?\nAnswer: 21.96708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - ((1 - -4) + -25)) + 59?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7*15\/2835*-1*6\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -1. Let u(i) = -i - 13. Let f(w) = -d(w) - u(w). Let p be f(-7). Suppose s - p = 21. Calculate the highest common factor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*k = 36*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, y: 2, s: 6, k: 1, w: 1}. What is prob of picking 1 k and 1 y?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 111*b - 1741. What is f(-19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -31 + 29 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200200 (base 3) to base 13.\nAnswer: -2ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -9*u. Let m(n) be the third derivative of n**5\/30 + 3*n**2. What is w(m(h))?\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -1. Let i(u) be the second derivative of -4*u**3\/3 - 5*u**2\/2 + 2*u. Let d(k) = -2*c(k) + i(k). Determine d(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1209 divided by -6\nAnswer: -403\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, k: 2, m: 8, a: 2, e: 1, t: 2}. Give prob of sequence ta.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g**2 - 19*g - 3. Let w(v) = -3*v**2 - 9*v - 1. Let a(h) = -4*d(h) + 9*w(h). Let m be a(5). Solve 2*s - 10 = -r + 2*r, 0 = 3*r + m*s + 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j + 91 = 7*o, -j + 33 = 4*o + 56 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orpo when four letters picked without replacement from {p: 1, r: 12, l: 2, o: 4}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 1502025*d - 25535292.\nAnswer: 3*(d - 500692)*(d + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 50\/20*(-8)\/(-10). Suppose 28 = j*v - 5*u, -4*u = 5*v - u - 8. Calculate the greatest common factor of 32 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 3928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxo when three letters picked without replacement from {q: 4, o: 2, x: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.000045 + 5. What is y rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/244 and ((-303)\/108)\/(104\/39)?\nAnswer: 5856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {g: 1, y: 11}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111 (base 2) to base 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d - 67. Let x be q(15). Suppose 13*a - x*a = 55. Solve 0 = -o + 6*o - 3*u - a, -2*o = 3*u + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**2. Let l(u) be the first derivative of u - 2. Let b(p) = -5*p - 25. Let o(w) = b(w) + 25*l(w). Give i(o(q)).\nAnswer: -100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -952766, -952761, -952756, -952751, -952746?\nAnswer: -952741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.5 + 9.5. Let j = 4 - 4.4. Let k = 0.011 - 0.201. Put k, j, v, -5 in decreasing order.\nAnswer: k, j, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((9\/18)\/((-3)\/18))\/(-1). Solve 105 = -18*r - o*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stmt when four letters picked without replacement from qqtlsim?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -1)\/1 + 0. Let c be (1 + -6)\/w + 0. Let v(b) = b**2 - 8*b + 7. Let x be v(7). Put x, -3, c in descending order.\nAnswer: x, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 5*v - 18. Let j be w(5). What is the remainder when 62 is divided by j\/(-90) + (-79)\/(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.5, -3, -0.05?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-30))\/(2\/546). Suppose 5*m + n = 311. What is the remainder when m is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5133 or -173?\nAnswer: -5133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25036 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 2*w**3 + 2*w**2)*(-76*w - 3 + 74*w - 3).\nAnswer: -4*w**4 - 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + y**2 + y. Let i(d) = 48*d**3 - 6*d**2 - 5*d + 5. Let n(c) = i(c) + 3*l(c). Is n(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i + 4. Let v be b(-6). Let w = 110 - v. Let k be 4\/10 + ((-1330)\/(-25))\/7. What is the greatest common divisor of w and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1)*(21*h + 35*h - 14*h + 11*h) to s + c*h and give c.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12621 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, n: 7, y: 3, e: 4, u: 1}. What is prob of sequence nyu?\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*g + 30 = 0. Let m = g + 13. Let n be -7*(75\/(-21) + m). Solve 2 = -0*f + 2*f - 2*v, -n*f = 4*v - 20 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98049 divided by -69\nAnswer: -1421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2. Let r(z) = z + 12968. Give k(r(u)).\nAnswer: u**2 + 25936*u + 168169024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-15))\/(2\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 259 in -0.2, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2 - (8 + 119\/(-14))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -67, 35, 239, 581, 1097, 1823, 2795?\nAnswer: 4049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -10. Suppose -3*x + 4*c = -3 - w, 5*x = 3*c + 31. Let f(h) = h**3 - 3*h**2 - 2*h - 5. Let u be f(4). Solve -x = -u*j + 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -435*t**2 - 630*t - 632. What is s(-1)?\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -29.355415382 and -0.5.\nAnswer: -29.855415382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.01, -4, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/8371712 and 19\/6278784.\nAnswer: 25115136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*o**3 - 313*o**2 + 313*o**2.\nAnswer: 50*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + d**2 + d. Suppose 5*a - 8*a - 3 = 0. Let j(b) = 4*b**3 - 5*b**2 - 6*b - 1. Calculate a*j(t) - 6*m(t).\nAnswer: 2*t**3 - t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 17*c + 4*c**2 + 4\/3*c**3 - 1\/6*c**4 - 1\/10*c**5 - 6. Let y(g) be the first derivative of a(g). Factor y(l).\nAnswer: -2*(l - 2)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**4\/6 - 2*b**3\/3 - 3*b**2 - 8*b. Factor g(n).\nAnswer: 2*(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9642, -18865, -27966, -36885, -45562, -53937, -61950?\nAnswer: -69541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from zpxxx.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*j + 91*j + 31*j.\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/17)*i*i**(-9))\/(i**1)**22)**6 assuming i is positive.\nAnswer: i**(-2970\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-73192)\/280)\/((-1)\/5).\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 37?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, -605, -1365, -2429, -3797, -5469?\nAnswer: -7445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 624.03 + -630. What is v rounded to one decimal place?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 8:46 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -10. Let l = -2 - n. What is the nearest to l in 0.1, 5, -5\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 8*k - k - 15*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 + 92. Let h = -0.97 + 1.27. Which is the closest to 0.1? (a) 3 (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091792763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from {g: 18, v: 2}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -4. Suppose -1525 = -i*u + 1997. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 122.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 45*x - 42*x - 46, -3*i + 50 = 5*x. Sort -0.5, 5573, i in ascending order.\nAnswer: -0.5, i, 5573","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2828998 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndnewun. What is prob of picking 1 d and 1 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56341 is divided by 752?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**5\/7 + 44*y**4\/7 - 1060*y**3\/7 + 5704*y**2\/7 - 1202*y + 532 = 0.\nAnswer: -38, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 = -3*f + 11, 0 = -4*o - 2*f + 44. Suppose -o*u + 7*u = -12. Suppose 0*z + u*z - 552 = 0. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1455*l**3 + 5*l*u**2 + 266*u**2 - 10*u + 2 wrt l.\nAnswer: -4365*l**2 + 5*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + 1*sqrt(684) + 4 + 0)*-5)**2.\nAnswer: 24300*sqrt(19) + 172125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 546 by 145.\nAnswer: 546\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 + -46. Suppose -l*s = -z - 6, -z = 5*s + 2 - 10. Suppose 0 = s*k - 0*a + 3*a - 251, 2*a = 6. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778694456.\nAnswer: 2, 31, 101287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.85 - 0.15. Which is the closest to -0.1? (a) -4 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -17*i**3\/6 - 9*i**2\/2 - 3*i. Let l(y) = 8*y + 4. Let d(p) = 4*h(p) + 9*l(p). List the prime factors of d(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 80371049\nAnswer: 2\/80371049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*x = 42*x + 138*x + 1904 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -2*v - 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbqq when four letters picked without replacement from {q: 2, b: 2, s: 9}?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39.6 + 314.6. Let o = -271 + s. What is the smallest value in o, -3\/5, 5, 2\/9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a = u - 6, a = 5*u + 3. Let y(w) = 2*w**2 + 2*w**2 + u*w + 0*w. Let j(f) = -4*f. Determine y(j(l)).\nAnswer: 64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*f - 1 = -50, -122 = -8*y - 5*f. Solve x - y*r = -15*r + 26, -r - 13 = 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*x - 20, -x - x + 3*p - 6 = 0. Let q(o) = 0*o - 2*o + x*o. Let n(a) = 2*a. Determine q(n(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.79 - 0.29. Let h = g - -2.5. What is the biggest value in 0.4, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4) - 2772\/(-24). Let p(o) be the first derivative of -3*o + 6 - 7*o - 116*o**2 + i*o**2 - 3*o**3. Differentiate p(d) with respect to d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11695 + -23333\/2. Let 12 - 9*c**2 - s*c**3 + 42*c + 21\/2*c**4 = 0. Calculate c.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 12*c**3 + 11139*c**2 = 0.\nAnswer: -3713\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -290*i**2 - 3771*i - 16. What is y(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12247999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**5\/60 - 2*r**3\/3 + r**2\/2 - 2*r. Let x(b) be the first derivative of u(b). Find the first derivative of x(f) wrt f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -82*k + 80*k + 4 + 0. Let c = 12 - 1. What is the remainder when o(-8) is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zcppcppccppcczcp. What is prob of sequence czcc?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-30)*(-250)\/(-20))\/((-12)\/18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 56178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2. Suppose -2*t = 2*w - 8, -3*w + 8*w + t = 12. Let l(v) = -w*v + 3*v + 5*v - 3*v. What is k(l(j))?\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166872 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/11 + (5 - 6). Let z = 703\/132 - c. Calculate the common denominator of 13\/40 and z.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 30 = 162. Let f = 35 - v. Which is the closest to -2? (a) 2\/5 (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1630 (base 12) to base 16\nAnswer: -a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z - 12. Let t be j(11). Suppose -t*i = 13*i - 23. What is the nearest to i in -0.2, 5, 17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.27 + 1.53. Let r = -0.26 + u. Which is the closest to r? (a) -4 (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-5\/3)*d)\/d)\/(d*d**4*d)*d*d**(2\/19)*d*d\/d**(-4))\/(d**(4\/3)\/(d*d**(-3\/5)))**(-20\/7) assuming d is positive.\nAnswer: d**(40\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -56.4 and -6.\nAnswer: 338.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 250128?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00052090584 rounded to five decimal places?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(612)*-3 + sqrt(612) - sqrt(612))**2.\nAnswer: -108*sqrt(17) + 5517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86860 by 4.\nAnswer: -21715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 greater than 3.75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 17*j**3 + 4*j - 6. Let k(m) = 17*m**3 + 5*m - 7. Give 6*k(g) - 7*q(g).\nAnswer: -17*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 20*h**2 - 5*h + 20. Let y(u) = -3*u**2 + u - 1. What is -v(z) - 6*y(z)?\nAnswer: -2*z**2 - z - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005222 to 7 dps.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**14*y)\/(y\/y**(-2\/19)))**(-23\/3) assuming y is positive.\nAnswer: y**(-2024\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 + 120 = -5*b. Let d be 2*-38*(-1)\/(-4). Let n = d - b. What are the prime factors of n?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632 a factor of 438600416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*(0 - 3 + 2)*(-828*m**5 - 588*m + 588*m).\nAnswer: 1656*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4576339mg to nanograms.\nAnswer: 457633.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16990\/153 + 1884\/17. Let p be (6\/3)\/((-2)\/5). Which is the nearest to -4\/7? (a) p (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {d: 1, x: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1100 = -5*n, -3*p + 2*p = -3*n - 372. What is the greatest common divisor of p and 270?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -2.4. Let h = r + 1.5. Let t = h + 1.10000112. What is t rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00018037515 rounded to 6 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 588\/5 - 118. What is the nearest to -3\/2 in -1, c, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52)\/(-14) - 4 - (-576)\/7. Let r = 86 - p. Factor 18*n**2 + 9*n**3 + 0 + 3\/2*n**r + 12*n.\nAnswer: 3*n*(n + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 428241*c**3*z - 12*c*z**3 - 25*z**3 + 2*z**2 - 292063*z wrt c.\nAnswer: 1284723*c**2*z - 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 936679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = -5*d + 112 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 6:35 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/4 - (-4212281 + -1). Suppose 3*n - i - 1187718 = 0. Suppose -y + 0*y + n = 0. What is y rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + sqrt(88)\/(sqrt(4)*-1))\/((sqrt(200) - sqrt(200)*-2) + sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 1. Let m(l) = 5*l - 5. Let d(s) = -3*s**2 + 2*s + 4. Let r be d(2). Calculate r*c(i) - m(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6058, 10873, 15688, 20503?\n\"Answer: 4815*v + 1243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 162, 455, 878, 1431?\nAnswer: 2114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.193 or -139124?\nAnswer: 0.193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 124115 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of -83450*(38 - 23)\/(-75)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(625) - (sqrt(625) - sqrt(625)*1)) + sqrt(25)*2*-4)\/(6*(sqrt(605) - 4*sqrt(605)) - sqrt(605)).\nAnswer: 3*sqrt(5)\/209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and 9933?\nAnswer: 228459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) -2\/3 (b) 3592 (c) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/5)\/(9\/30). Let a be (20\/g)\/((-1)\/(-16)). Let s be 4\/(-3) + a\/30. Solve -3*u + 2*k - 8 = s, 8 = -0*u - u + 2*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgxex. What is prob of sequence xe?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2901314557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9403854?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5433 = -4*d + 22195, d + 4*h - 6926 = 0. Suppose -d - 13554 = -16*x. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12523 + -5528. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21 - 21 - 18*f + (4 - 2 - 4)*(f - 5*f + 6*f) - 3 + 3 + 2*f)*(2 - 4 + 3)*(2 - 1 + 0) to w*f + x and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (295\/(-27) + 11)\/(((-18)\/24)\/(45\/(-20))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034.7186546 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - q**4 - 425*q + 422*q - 5*q**4 + (-3*q + 3*q - q)*(-2*q**3 + q**3 + 3*q**3) to k + a*q**2 + y*q**3 + x*q + w*q**4 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 991690 and 4264267?\nAnswer: 42642670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213, -906, -2069, -3708, -5829, -8438?\nAnswer: -11541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 3. Let l = -6 - s. Let w be (4\/(-12))\/((-14)\/(-84)). Sort l, w, 8 in ascending order.\nAnswer: l, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2400361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -9. Let m(h) = -h**3 - 3*h**2 + 3*h + 1. Let u be m(a). Solve 18 = u*j - 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27846 + -12739. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 133582 and 267165\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/9, 0, 13, 1\/19806, -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21477 - -21653. Suppose -w = -5*w + 132. Calculate the highest common divisor of w and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 15 = 10*a. Let n = 46 - 4. Let t = n + -44. What is the third smallest value in a, -1\/3, t, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Let g be 22\/6 - t\/3. Suppose -3*s - 8 = 4*m - 8*m, m - 2 = -4*s. Solve -12 = g*c - s*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19715, 39080, 58445, 77810, 97175?\nAnswer: 116540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -3*f + 18. Let a be f\/(-2) - (4 - 3). Sort a, 1, -2.\nAnswer: -2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d - 24. Let l = -1302 - -1306. Calculate s(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2135 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 1 - sqrt(272)) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196854641?\nAnswer: 107, 1839763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*f + 879 = -27 - 130 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-21)\/342*8\/((-336)\/282) and 107\/190?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + 209 + 4*l + 582.\nAnswer: -l + 791","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nevvulsnlssuvusnlvlu. Give prob of picking 1 v, 1 e, and 2 s.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -27760609 and -238282.3.\nAnswer: -27998891.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -11*b. Let p(n) = 6*n**2. Calculate p(q(v)).\nAnswer: 726*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**4\/h)\/h*h*((h\/h**1)\/h)\/h*(h**1\/h)**(2\/87))\/((h*h**1)**(2\/55)\/((h*h**0)\/h*h*h*h**(-7)\/h)) assuming h is positive.\nAnswer: h**(-279\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7865 is divided by 1960?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/15 in -2\/9, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*g - 0*b + 170, -5*g + 170 = -2*b. Let p(h) = h**2 + 5*h + 1. Let s be p(7). What is the greatest common divisor of s and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1924436790 to the nearest one million.\nAnswer: 1924000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 2*k - 212. Let b be w(16). Let a be (84\/(-10))\/((-3)\/10). What is the greatest common divisor of a and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2513049156?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z**(3\/4)*z*z**(2\/5) assuming z is positive.\nAnswer: z**(83\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 1)*(1 - 2 - 1)*(40 + 12 + 28)*(2*k - k + 3*k).\nAnswer: 640*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**3*x + 684*p**2*u*x + 2*p*x - u*x - 240*x with respect to p.\nAnswer: -3*p**2*x + 1368*p*u*x + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 75 + -101 - 0?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 54?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*k + 1400093 + 1243791 = -2310778. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6159564.\nAnswer: 2, 3, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8574, 8588, 8602?\n\"Answer: 14*u + 8560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -dbd1 (base 15) in base 11?\nAnswer: -31a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-891)\/468 - 56\/(-32)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27384 by -14.\nAnswer: -1956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/6 + 1193*g**2\/3 + 4781*g\/2 + 3588 = 0. What is g?\nAnswer: -3, 2392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.5 (b) 2 (c) 2\/43 (d) 8478\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 15*o**3 - 13*o - 56*o + 10 + 37*o**3 - 19*o**3 as t*o + s*o**2 + d*o**3 + n and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -11 + (10 + 5 + 18 - (13 - 6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27 - (10 + (-2 - 2) + 15 + -23 + 9)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide -3 + ((-94)\/423 - 112\/(-18)) + 5355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 5. Let t = b - 22.8. What is the second biggest value in -4, t, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 2*n + 1 = -11, -4*u = 2*n - 18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/5, -2, -36.8, -21, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5*b - 62, 0*o = -2*o + 4*b - 28. Let s = -11 - o. Calculate the least common multiple of 5 and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35 + 5?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1\/2, -4, 0.5, -2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58215571*m**4 - 50879369 wrt m.\nAnswer: -232862284*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -0.5, -0.197, -5?\nAnswer: -0.197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u**2 - 193*u + 2580. Calculate b(10).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6*y = -3*h + 11, 10 = 2*h - 4*y. Is ((-1780)\/30)\/(2*h\/153) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1218, -84 in decreasing order.\nAnswer: 1218, -1, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 > -0.827474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 9, 7449?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12768 is divided by 297.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2881, 5772, 8671, 11578, 14493?\n\"Answer: 4*w**2 + 2879*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 2520310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2802 (c) -3 (d) -3409\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256 and 197888.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -255*r + 48*r - 201*r + 65*r + (r - 3*r + r)*(-2 - 3 + 3) + 1 - r - 1 + 0 + r + 0.\nAnswer: -341*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7565 divided by -2\nAnswer: -7565\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 65 = 4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*l - 17. Let o(i) = i**2 - 9*i + 10. Let b be o(l). Let g(v) = -v**2 + 2*v**2 - v + 0*v**b - 2. Determine g(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 30*y**2 - 2*y + 3. Let j be c(1). Calculate the greatest common factor of 31 and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2672\/11 > 3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*c - 489 = 0, 5*t + 2*c + c = 1300. List the prime factors of t.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 25 + (-1 - 1) + -6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3621103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 443\/14 + 104\/7. Suppose -1 = -2*f + 1. Find the common denominator of (14\/f)\/((-60)\/9) and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1584) + -3 + (1 + sqrt(1584))**2 + sqrt(1584) - ((-4*(0 + sqrt(1584)) - sqrt(1584))**2 + -3).\nAnswer: -38013 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3494*r**3 + 3.\nAnswer: 3494*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14*((-60255)\/1442)\/195\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031 divided by -60?\nAnswer: 1031\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q = 81 + 27. What is the least common multiple of q\/(-3)*93\/(-62) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (2 - 0) - -2. Factor 2*u**4 - 3*u**y + 5 - 12*u + 7 + 12*u**3 - 9*u**2 - 2*u**4.\nAnswer: -3*(u - 2)**2*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.127 times -0.8?\nAnswer: -0.1016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4607294 and 33146.\nAnswer: 4607294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.11 (c) -12 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 71. Suppose 3*d = 2*a - t, -4*a - 4*d + 127 = -5*d. What is the common denominator of a and 402\/(-9)*(-15)\/80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328108774 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (18\/15)\/(4\/10). Let o be 1146\/(-132) + 7 - 3\/l. Which is the closest to -2\/7? (a) 0.3 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.798 + -0.138. Let r = -2.34 - p. Sort r, 3, 7.5 in ascending order.\nAnswer: r, 3, 7.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 2*f - 8*f + 19*f + 17*f - 12*f**2 - 28*f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 2. Let r be (-7)\/(28\/(-16)) + -3 + -2. Put k, -5, r in descending order.\nAnswer: k, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 10*f**2 - 10*f - 3. Let u be m(-9). Let a be (-1 + u)*1 - -2. Solve -2 = -5*b - a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/27 in -1\/3, -6\/1105, -0.07?\nAnswer: -6\/1105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 81\/(10\/24 + (-3)\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**5\/20 + c**4\/6 - 5*c**3\/6 - 3*c**2\/2 - c. Let a be u(-3). Let w(f) = 6*f + 13 - 4*f - 11 - f**2. What is w(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 3, 111077, -18, 1 in increasing order.\nAnswer: -18, -2, 1, 3, 5, 111077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*h - 155*h - 3104 = 0. Let i = -1053 + h. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28245.783 - 28219. Let t = l - 4.645. Let g = t + -22. What is g rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1460889 is divided by 7854.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = -65\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48622066 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 5*l - 3 - 8, 5*q - 3*l - 18 = 0. Calculate the highest common divisor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.08 * -72.016.\nAnswer: 509.87328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1536 in 1\/8, -14\/29, -0.16, -2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -811 + 866.9. Let c = z - 56. Is c bigger than 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75 and 1413?\nAnswer: 35325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -7*t**5\/60 + 3827*t**2. Let m(k) = -623*k**2 - 2. What is m(h(i))?\nAnswer: -30527*i**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33\/((-528)\/(-7136)) + (-4 - 1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 22*o = 176. Calculate the remainder when 45 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/(-2)*-2 + 343 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((2310\/(-12))\/(-35))*-12.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1318471 (base 11) to base 2\nAnswer: -1000101100110001110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.663\nAnswer: -2.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-207)\/6*(-4)\/6 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6422 (base 12) to base 9.\nAnswer: 16038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35\/(-2)*(-60)\/(-25). What is the tens digit of ((-3)\/(-2))\/(k\/(-1792))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2474150647 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = 0. Suppose 0 = -5*o + 2 - 17. Let p = -14656 + 14657. Which is the closest to n? (a) 0.1 (b) o (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-3 - (-5 + 5) - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fa - -10632?\nAnswer: 10538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (45\/(-80))\/(-3)*19506. Let i = -3652 + n. Find the common denominator of 77\/6 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4536?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -131, -105, -79, -53, -27?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35340140 by 15.\nAnswer: -7068028\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05327 - 0.05327. Sort 1\/13, -6, w in decreasing order.\nAnswer: 1\/13, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 668647.8t to grams.\nAnswer: 668647800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 13944900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -8\/9, -6\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-24)*(400\/45)\/5*(-144)\/(-4288)\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1100)*-4)**2 + (sqrt(1100) - (sqrt(1100) + (sqrt(1100)*3*6)**2) - sqrt(1100)) + -2.\nAnswer: -10*sqrt(11) + 83598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 6, -4*j + 46 = 2*c + 38. Let o(b) = -9*b - 5*b + 2*b + c*b. Let d(k) = -k**3 + 2*k. Determine 5*d(f) + 4*o(f).\nAnswer: -5*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*b**6 + 45*b**5 - 4*b**3 - 2*b**2 + 8*b + 783.\nAnswer: 1800*b**3 + 2700*b**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 8*m**2 - 2*m - 11. Let f be p(20). Suppose 3*o = -s + f, 8*s - 3*s + 1039 = o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 - q + 10. Let g(v) = 9*v**2 + 4*v - 28. Give -11*a(l) - 4*g(l).\nAnswer: -3*l**2 - 5*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 3*p**5\/110 - 5*p**4\/66 + p**3\/33 + p**2\/11 + 4*p. What is n in l(n) = 0?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 44 = -10*k + 129, -59*k = -2*z - 3*z - 575 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(3\/((-60)\/4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0016 + -0.0015789. Round c to 6 dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5*g - 1 - 49, t = 4*g - 5. Let w = 15 - t. Calculate the smallest common multiple of w and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4521 divide 121863555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12364*k + 140 = 12369*k + 2*z, 3*k - 58 = 4*z. Suppose 2*o = 580 - 118. Calculate the remainder when o is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-1*sqrt(121)*3 + -3*((sqrt(121)*2 - sqrt(121)) + sqrt(121) + sqrt(121))))\/((-4*sqrt(121)*-2)\/(sqrt(99)*-1)))**2.\nAnswer: 891\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 22*j - 3. Let x(u) = 288*u - 40. Let g(d) = 40*m(d) - 3*x(d). Let q(p) = -3*p**2 + p**2 + 0*p**2. Determine g(q(y)).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 33*a + 179. Let o be y(-5). What is the closest to o in 3\/5, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72)\/(-90)*((-22)\/(-12) + -1). Let p(n) be the first derivative of b*n**3 + 3 - n**2 + 0*n. Find the second derivative of p(h) wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/6 and 1 + 10\/(-14) + 344\/462?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4362 is divided by 206.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1101, 1108, 1125, 1158, 1213, 1296?\nAnswer: 1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3805, 7550, 11291, 15028, 18761, 22490, 26215?\n\"Answer: -2*m**2 + 3751*m + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*q - 3*u + 3, q - 5*u = -30. Let f be 1\/(-4) + (-3)\/(-12). Suppose f = t + 4. Put 3, q, t in increasing order.\nAnswer: q, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6775884 and 1882190.\nAnswer: 33879420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h - 5. Let w(i) = -i**2 - i - 1. Let x(s) = l(s) - 4*w(s). Let r be -1*2\/(-3)*3. Let b = -1 + r. What is x(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 714 is divided by 238.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*l + 12. Suppose 3*r = -2*p - 0*r + 158, -237 = -l*p - 2*r. Suppose 28 = -3*y + p. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1819.1483 * -1\nAnswer: -1819.1483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8801 is divided by 823.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -136513 (base 7) to base 12\nAnswer: -13297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 259352 - -21164\nAnswer: 280516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 7:57 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -121.09 (b) -0.13 (c) -4 (d) -24 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 12 = 0, 3*u + 101 = 4*s + 44. Solve 13*k - 17*k - s = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27, 24, 19, 12, 3, -8, -21?\n\"Answer: -o**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*i*o**2*x**2 + 2*i*o*x**3 - 4*i*o + 2*i*x**3 - 6*o**2*x**3 + 2*x**3 wrt o.\nAnswer: 12*i*x**2 - 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -a1b (base 15) in base 2?\nAnswer: -100011100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -5 (c) -4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17708.5 - -17708. Let x = 1.4 - 1. Which is the third biggest value? (a) q (b) x (c) 1\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.232868381 rounded to five dps?\nAnswer: -0.23287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1581, 12751, 43129, 102339, 200005?\nAnswer: 345751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104.25 + -104.19693. What is n rounded to three dps?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1951, 3897, 5843?\n\"Answer: 1946*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*o**4 - 6*o**4 + 5*o**4 + (0*o**2 - 2*o**2 + 0*o**2)*(-5*o + o + 3*o)*(-o - 8*o + 0*o).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u + 26. Let b be g(4). Let x be 105\/33 - (-2)\/(-11). Differentiate -14*q**x - b*q**3 + 24*q**3 - 9 + 5*q**4 with respect to q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**2 + 43*r. Let f(j) be the first derivative of -2\/3*j**3 + 0*j**2 + 0*j - 48. Calculate m(f(s)).\nAnswer: 20*s**4 - 86*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*(sqrt(175) - (sqrt(175) + sqrt(175)*-2) - sqrt(175))*-4*1 - (-3 + (sqrt(7) - 3*1*sqrt(7)) - (sqrt(1008)*1 + 4)))**2.\nAnswer: 1036*sqrt(7) + 38380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1448 - 1443. Let j(w) be the second derivative of -1\/6*w**4 + 0 - 2*w - 1\/9*w**2 - 2\/9*w**3 - 2\/45*w**f. Factor j(l).\nAnswer: -2*(l + 1)**2*(4*l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -602801125, -602801126, -602801127?\nAnswer: -602801128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435866 + 28*x**2 - 15*x**2 + 435866 + 7*x**3 - 13*x**2.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 + 71. List the prime factors of s(0).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/(-6) - (-3)\/2) + 5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (2 + (-8 - -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*z + 40, 4*y - 18*z = -19*z - 134. Let j(h) = 10*h**2. Let m(w) = -57*w**2. Let s(q) = y*j(q) - 6*m(q). Let k(v) = 201*v**2. Give s(k(n)).\nAnswer: 80802*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8+2038752955\nAnswer: 2038752947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/4 - 1)\/((-8)\/(-32)). Let p(y) = -11*y - y**h + 3*y**2 + 17*y. Let o(z) = 3*z**2. Calculate o(p(n)).\nAnswer: 12*n**4 + 72*n**3 + 108*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -186.72 - -0.12?\nAnswer: -186.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-5*sqrt(66)*2)\/(sqrt(6) + sqrt(216)*-1 + 1*sqrt(6)*2) + 1)*2.\nAnswer: -40*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*s + 2 - 9, 0 = -5*s - 3*t + 8. Calculate the common denominator of 86\/10 + 2\/4 and 2380\/480*s*-4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -29. Let o = s + -3. Let l(r) = 2*r - 3. Let t be l(6). Solve -t*b = -4*b - o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -27*v - 6. Suppose s + 4 = -0*s. Let u be p(s). Let o = u - 1124\/11. Which is the smallest value? (a) -4 (b) -0.18 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -107534 and -107533 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163761104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 12*m + 41. Let s(p) = 2*p - 35. Let w be s(20). Let t be b(w). What are the prime factors of (-2)\/t - (-7296)\/72?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69798379 less than 0.04?\nAnswer: -69798378.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((9 - 31 - -6) + 9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 10) to base 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9110, 9106, 9102, 9098, 9094?\n\"Answer: -4*y + 9114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from enoenoooeyok. What is prob of picking 1 k, 1 y, and 1 o?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/14 and (-6 + 628\/48)*2\/55.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -3*r**5\/20 + 9*r**2 - 2*r. Let j(z) = 2*z**2. Give s(j(p)).\nAnswer: -36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2066*b + 643*b + 271*b - 579*b - 67228 = 0 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4185 + -4172. What is the remainder when 3655 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, -193, -194, -195?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4319)\/3085*(-5)\/1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + sqrt(432) + -1 + (2 + sqrt(432))**2 + sqrt(432) + (sqrt(432) - ((sqrt(432) - (-1*sqrt(432) - sqrt(432))) + 3)).\nAnswer: 60*sqrt(3) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = -4*f. Let c(q) = -q + 1. Let i(m) = 3*m - 6. What is f*i(v) + 4*c(v)?\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*b**3 - 2*b**2 + 305.\nAnswer: 114*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 391.29 + -379. Let y = k + -0.29. Let h = 9 - y. What is the third biggest value in h, -1\/7, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 644502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 16*v**2 + 5. Let u be z(-16). Let r(m) = -m**2 + 10*m + 2*m**2 - m - u*m. Let d(c) = -c. What is r(d(b))?\nAnswer: b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -10969147.\nAnswer: -3\/10969147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7088, 28207, 63396, 112655?\n\"Answer: 7035*k**2 + 14*k + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 1\/4*i**2 - 1\/8*i**4 + 1\/2*i + 36 - 1\/6*i**3. Factor h(d).\nAnswer: -(d - 1)*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.07 + -0.97. Which is the closest to 0? (a) t (b) 0.02 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - -20)\/(-2 + 4) - -2. Let n(d) = -2*d + 20. Let x be n(r). Solve -2*t = x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(300)*-1)*-5 + 1 + 2.\nAnswer: 3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -23*p**3 + 18*p - 37. Calculate d(3).\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-672)\/(-66) - 5) + (-14)\/77. Solve 5*b - 22 = 2*t - 4*t, -5*t = -r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 20*q - 486 = 0. Does 7 divide (504\/32)\/(-3 - q\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 72*k**2 - 14*k - 114. Does 94 divide m(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -5*k + 37, 160*k + 159*k + 4*s - 36 = 315*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 728 + -444. List the prime factors of a.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2, -24, -58, -110, -186, -292?\n\"Answer: -p**3 - 15*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**5\/4 - 143229*j**4 + 36465338235*j**3\/4 - 386617548332817*j**2\/2 - 5031965193624747*j - 4838647302980550 = 0. What is j?\nAnswer: -25, -1, 63666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 10 = -3*z. Let a = 13800 + -13805. What is the nearest to -3 in 1, z, a, -3\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6 + 2 = 0. Let y be 3 - 6*1\/(-2). Suppose 0 = d*w - 0*w - y. Solve -w*q - 4 = -5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1209 divide 1948996257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20056*p + 6698*p + 6762*p + 7418*p.\nAnswer: 822*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 0 + 1. Let z(c) = c**3 + 3*c**2 - 4*c + 2. Let g(j) = -j**2 + j - 1. What is m*z(v) - 4*g(v)?\nAnswer: -v**3 + v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*b**2 + 1401*b - 2800*b + 26*b**2 - 64*b**2 + 1397*b + 2 in the form g + l*b + m*b**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 3*z + 16, -31*j + 4*z = -27*j - 32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3048 + 940*f**3 - 3043 - 3046 + 9135.\nAnswer: 940*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 1:33 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00903 to 4 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3323001 (base 4) to base 5.\nAnswer: 1003230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 4*n - 14, -5*q - 50 = 5*n - 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -48. Sort q, -0.1, -22.\nAnswer: -22, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 79?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 0)*8\/(-1 + -7). Solve a + v = -2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -2*c + 14, -3*c - 2 = -5*z + 32 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 + 41*v + 79. Is w(-31) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 6:48 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -357, -7, 1 in decreasing order.\nAnswer: 1, -7, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 7*p - 3*p - 1, 3*d - 19 = 5*p. Let j(k) = -3*k + 3*k + 42*k**d - 176 + 3*k**2 + 166. Is j(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*x - 6, -x + 0 = 4. Let i = 14 + -17. Let o be (-3)\/b*-4 - i. Solve -t - o = -0*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 620 = -2*o, a = 30*o - 34*o + 148. Let y(d) = 2*d**2 + 10*d + 24. Let s be y(-11). Is a <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**2\/2 + 6887. Let t(s) = -s + 3. Calculate t(j) - 5*x(j).\nAnswer: 4*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, p: 2, d: 3}. What is prob of sequence pop?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3473895407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 5*l - 1. Let w be k(-5). Does 6 divide 9\/(-9)*w*(-2 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - u + 1. Let f(s) be the first derivative of 3*s**3 + s**2 + 3*s - 6. Let v(l) = -f(l) + 3*x(l). Find the second derivative of v(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 10143032?\nAnswer: 10143042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 59 = -g. Let m(l) = 5*l - 279. Let k be m(46). Let c = g + k. Calculate the least common multiple of c and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -562 and -4004 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 33. Calculate d(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*h + 12 - 56 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7522 + 7527. Solve 8 = 4*i, 0 = -p*d - 12*i + 16*i - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1528?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**25)\/b**(5\/4) assuming b is positive.\nAnswer: b**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3121*c*t**2 + 2*c*t - 10192214*c + 2*t**2 - 5*t wrt t.\nAnswer: 6242*c*t + 2*c + 4*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24339, 48679, 73019, 97359, 121699, 146039?\nAnswer: 170379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 v, and 1 n when three letters picked without replacement from {g: 6, n: 5, y: 2, b: 1, v: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 199, 2979, 3\/5, -5, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 9:45 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*p = -15 + 2, -p = -4*y - 59. Let o be -1 - (-1)\/(y\/(-25)). Which is the nearest to -1? (a) 5 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3 = 17. Let i be g\/3 - -1 - 3. What is the closest to i in -0.5, 3\/7, -1\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y + 568 - 568.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 + -225 - -8*(-5481)\/(-954)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d5 + 3?\nAnswer: -2d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -4234.\nAnswer: 2\/2117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 52, 48, 14, -50, -144, -268?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 69. Let m(d) = d - 33. Calculate 5*m(f) - 3*p(f).\nAnswer: 2*f + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -601.3 at least as big as 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -123\/26 > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/49980 and 43\/22.\nAnswer: 549780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252 = 28*r - 648 - 108 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 7 - (19 + (-1125)\/60).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 - (-2 - -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24141 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.804 times -14657?\nAnswer: -891204.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2. Let i(r) be the third derivative of r**4\/8 - 2*r**3\/3 - 2*r**2. Let h(n) = 5*n - 7. Let j = 5 + 2. Let m(l) = j*i(l) - 4*h(l). Give m(s(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/20 - 2 - 4\/(-10))\/((-4)\/80). Suppose 2\/5*t**2 - 102\/5 + n*t = 0. Calculate t.\nAnswer: -51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 4:45 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2860 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 4 + 5 + ((-6448)\/64)\/((-648)\/32)?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1041311 plus -0.4?\nAnswer: -1041311.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f = 16. Let z be 2\/f*-6*-4. Let b be 3\/(-6)*2*z. Put b, -2\/9, 1\/4 in increasing order.\nAnswer: b, -2\/9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b = 5. Let d(c) = c. Let z(q) = -4*q + 1. Let o(v) = b*d(v) - z(v). Let s = 5799 + -5798. Determine o(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 4320301?\nAnswer: 4320303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/3)*i**(-1\/3)*i*(i**2*i)**(2\/23) assuming i is positive.\nAnswer: i**(41\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-120)\/(-140))\/((-10)\/(-35)). Solve l*j - 6*u = -2*u - 24, 4*j + 2*u + 10 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*i + 5 = -35*i. Let l(g) = -g + 1. Let p be l(2). Put 0, i, p in decreasing order.\nAnswer: i, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 20 = -2*r, -7*r = 3*t - 10*r - 21. Suppose 29 = 5*j - t*a, 2*j + 4*a - 4 + 2 = 0. Let n(z) = -2*z + 2. What is n(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 - -195. Suppose 5*g - 12 + 82 = -d, y = -2*d + g. Calculate the common denominator of -81\/20 and 2 - (1 + d\/16).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 1. Let k be ((-9)\/(-3))\/(-1 - -2). Let u be (-5)\/k - (-1 - 1). Is u at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -22, -1, 48 in decreasing order.\nAnswer: 48, 2\/7, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**5\/20 + w**3\/6 + 85*w**2\/2 + 2*w. Let l be v(0). What is the highest common divisor of 17 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 206278004 and 2?\nAnswer: 412556008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(3\/2)*g*g*g)\/(g*g*g**(1\/7)))\/((g\/(g*g**2)*g)\/g*g\/(g*g*(g*g*g**(3\/2))\/g*g)))**(-16\/3) assuming g is positive.\nAnswer: g**(-992\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + 101000111000001010101011?\nAnswer: 101000111000001010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4485, 4467, 4449, 4431, 4413?\n\"Answer: -18*w + 4503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -10 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 19. Suppose 0 = -2*q + 2*f, -5*q + r*f + 0*f = -9. Let u = 0.7 + -1. Which is the nearest to 2\/7? (a) u (b) q (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o + 21. Let b(f) = 10*f + 56. Let s(t) = -3*b(t) + 8*l(t). Let i(h) = 3072*h. What is i(s(v))?\nAnswer: 6144*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12331000 - 11?\nAnswer: -12331011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317766126.\nAnswer: 2, 3, 67, 619, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/5)*q\/(q*q**5\/q)*(q\/q**(-1))**(-10)*((q**(1\/4))**50)**(2\/41) assuming q is positive.\nAnswer: q**(-4713\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887 a factor of 566411355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-3))\/(5\/(-15)). Which is greater: -7 or g?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167871247.\nAnswer: 67, 2505541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 1:23 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49560340 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 13760*g + 1519 + 20509*g - 763 - 756 in the form a + o*g and give o.\nAnswer: 34269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-74)\/18 + (-77)\/(-693). Let h = -7 - -6. Let r = 0 + h. Sort -5, r, -2\/7, p in ascending order.\nAnswer: -5, p, r, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1764 and 9733164?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1800 + -795. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3121839606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 59 (c) 0 (d) -0.3 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 - 4)*(3 + 1 + 0)*(-7*w - 13*w + 18*w)*(0*w + w + w)*(1 + 3 - 2) as d*w**2 + i*w + l and give d.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*w**4 - 28*w**3 + 295*w?\nAnswer: -60*w**2 - 168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2594770890 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415 = -37*j + 29 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 204, -7\/2 in descending order.\nAnswer: 204, -7\/2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o + 12 + 5*o + 3*o**2 + 8 - 21. Does 7 divide n(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 548295.7 nanograms?\nAnswer: 0.0000005482957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d = -2385755579 - 1796508997. Suppose -d + 866695768 = 16*x. What is x rounded to the nearest 1000000?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -263339984946.22.\nAnswer: -263339984946.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1424 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*s + 493*s + 2*s**3 - 254*s.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 - 72 = 3*i. What is the common denominator of 2\/(-3)*(-39)\/(-4) and (-906)\/i + (-6)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1008075.00028 - -1008053. Let q = f + 22. What is q rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 26*p**2 - 36*p - 111. What is the thousands digit of c(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -336950 and -0.059808.\nAnswer: -336950.059808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t**3 + 4*t**2 - 5*t + 5. Is g(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 12*z**2 - 16*z.\nAnswer: 4*z*(z - 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9612 + 19203 - 35*h - 9591.\nAnswer: -35*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 26642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**3 - 4*b**2 - 4*b + 8. Let y(k) = -16*k**3 - 21*k**2 - 19*k + 44. Let z(s) = -11*d(s) + 2*y(s). Give z(-4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjwnwwjqq. What is prob of picking 2 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = 2*s - 177. Let q(i) = i**3 - 3*i**2 - 7*i + 4. Let l(t) = -t**3 + 2*t**2 + 4*t - 2. What is s*q(g) + 7*l(g)?\nAnswer: -3*g**3 + 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -75*b**3 + 7*b + 15. Suppose -5*k = -d + 14, -27*d + 24*d + 3 = -2*k. What is the hundreds digit of q(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4 - 347116*i**3 + 10415544*i**2 + 45827504*i + 47215936 = 0 for i.\nAnswer: -173588, -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(49)\/(sqrt(7) + sqrt(28)\/sqrt(4)) - sqrt(7)) + -6*((sqrt(3) - (-3 + sqrt(12)\/sqrt(4))) + 5 + sqrt(48)))**2.\nAnswer: 2688*sqrt(3) + 4656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**3*j*l*z**3 + 4*g**3*j*l - 12*g**3*j - g**2*j*l*z + g**2*j*l + 2*g*j*l*z**3 + 2*j*l*z**2 wrt g.\nAnswer: -6*j*l*z**3 + 24*j*l - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25750 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 156 - 41461?\nAnswer: -41302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -3. Suppose m = 7*b - 6*b. What is the third derivative of 4*r**2 + b*r**2 + 14*r**5 - 12*r**5 wrt r?\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y**(2\/3)))**(-19\/4)*y**(-1)*y*y**(-5)*y)\/(((y**(-4)\/y)\/y**(-4))\/((y\/(y\/(y\/((y\/y**(-1\/4))\/y)*y)))\/y**0)) assuming y is positive.\nAnswer: y**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90.5 + 90.500172. Round u to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 333 and 155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 6*z - 7. Let a = -17 + 10. Let f be b(a). Let q = 16 - 18. Sort f, q, -4 in decreasing order.\nAnswer: f, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 307. Is s(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, -0.4, -6\/1364929 in descending order.\nAnswer: -6\/1364929, -0.4, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 11) to base 9.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1080270 and 23598.\nAnswer: 472077990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 775894.2l to millilitres.\nAnswer: 775894200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*a + r - 9, -25 = -3*a - 5*r. Suppose a*v = 3*x + 153, -4*x = -0*v + v - 49. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.6 - 1.3. Let h be (-1)\/(-4 + (-9)\/(-2)). What is the nearest to -1 in i, h, 1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 - 153\/2. Suppose -3*q = -2*p - 2 + 3, 6 = -3*p - 3*q. Let u be (3\/(-9) - 0)\/p. Is u at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**2 - 46*h + 10. Calculate c(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/2 - -11\/6. Let c(w) be the second derivative of -1\/6*w**4 - o*w**3 + 2*w + 0 + 1\/2*w**2. What is c(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/1182008 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/2 + (367\/(-5))\/((-12)\/270). Are q and 1651 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -277368 by 24.\nAnswer: -11557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-7))\/(57\/95*(1700\/(-525))\/(-34))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -534 = -5*t - 414. Let m(n) be the third derivative of n**4\/8 + 5*n**3\/2 + 11*n**2. Let h be m(7). What is the greatest common factor of t and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0153773 rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.3 - 18.300003. Round l to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/13 - -14\/39. What is the second biggest value in p, -5, 0.39?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 1 = -11*c, -5*u - 3*c = -49313. What are the prime factors of u?\nAnswer: 2, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 10, -2*u = 2*u + 3*k + 10. Let l = 2.7 + -2.7. Let t = -5.0192 - -0.0192. Which is the second biggest value? (a) t (b) l (c) -0.03 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400402.\nAnswer: 2, 200201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000229 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 265929 to the power of 1\/2, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -843?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.8869*34\nAnswer: -64.1546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-7) + 1 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 15*s + 23. What is n(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 476210.6 minutes?\nAnswer: 28572636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 859407558?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79123823 is divided by 3474?\nAnswer: 3473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -610, -624, -652, -700, -774, -880, -1024?\nAnswer: -1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100423474 smaller than 100423474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from rllrlrr.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - (-2 - (-907)\/101). Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 20*t**2 + t - 1. Let b be u(1). Suppose 4*h + 21 = 5*d + 2, -b = 5*h - 5*d. List the prime factors of 5*(h + 2) + 1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/(-5) + (6 - 8) + 164\/(-615). Sort -0.3, 0.1, 2\/19, b, 5.\nAnswer: -0.3, 0.1, 2\/19, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 - (0 + (-42)\/12). Suppose -g + 17 = 3*w, l*g + 7*w - 32 = 4*w. What is the third biggest value in g, 2\/7, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*x + 7*x - 4*x)*(4 - 3 - 2) + 5 - 5 - 2*x)*((4*x**3 + 4*x**3 - 6*x**3)*(3 + 1 - 3) + 5*x**3 - 2*x**3 - 4*x**3).\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 + 2*v**3 - 3*v**3 + (2*v**2 + 0 + 0)*(6*v + 0*v + 0*v).\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2 + (-4 + 5 - 3)*(-11 + 1 - 7))*(-1 + 2 + 2)*(0*m**3 + 0*m**3 + m**3)*(0 + 4*m + 0).\nAnswer: 420*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 5*d - 12, -25*b + 17 = 16287*d - 16291*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12172363 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-26)*106554\/(-12685)\nAnswer: 21\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420675171 a multiple of 2355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, -2, -13?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 77 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -154, -1, 1 in ascending order.\nAnswer: -154, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 970572.\nAnswer: 2, 3, 29, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2487a3 (base 14) in base 6?\nAnswer: -42503523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 0)*(-2*n**2 - n**2 + n**2) + 40*n**2 - 16*n**2 - 93*n**2)*(5*n**3 - 2*n**3 - n**3).\nAnswer: -130*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/145 (b) -70 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 147*k**2 + 3*k + 1479. What is a(-147)?\nAnswer: 1038","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.4 + -3. Let t = h - 4.2. What is t rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -1)\/(5004\/(-7202)). Let u = 7\/139 + q. What is the common denominator of 17\/4 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113459483 and 14766?\nAnswer: 2461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -124432*q + 746583. Calculate h(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14214323 by -3.\nAnswer: -14214323\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 - 5*o**2 + 63*o + 3. Suppose 165*y = 231*y + 462. Give p(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -104 in decreasing order.\nAnswer: 5, 2, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2846.\nAnswer: 2, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 + -9. Let h = -23 + w. What is the highest common divisor of h and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 3*l**4\/8 + 23*l**3\/3 - 2937*l**2. Let v(p) = 5*p. Calculate v(s(f)).\nAnswer: 45*f + 230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -808 + 407 - 2*f**2 + 401.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2 + 6. Let p = o + 1. List the prime factors of 58\/6 - (-1)\/p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 12 = -4*t. Let f(s) = -s**2 - 6*s - 5. Let p be f(t). Let j(d) = -p*d - 4*d + 6*d + 3*d. Let a(k) = -5*k. Calculate a(j(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19a19 - -1?\nAnswer: -19a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/2 + 0 + 0. Which is the third biggest value? (a) 1\/5 (b) -5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -11. Let b be (0 - m)\/(36\/(-24)). Let i = 1 - 1.5. Put i, b, 4 in decreasing order.\nAnswer: 4, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1629932?\nAnswer: 2, 407483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 1. Let p = -1.5 + 0.5. Let y = p - -2. Which is the nearest to y? (a) f (b) 4\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17789\/4 - -4447. Which is the closest to 3? (a) 4 (b) 0 (c) g (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p*p*p**(-4)*p)*p*p*p**1)\/(p\/p**(-6)*p*(p\/(p*p\/((p**4\/p)\/p)))\/p*p) assuming p is positive.\nAnswer: p**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + 3)*(-1)\/(-2). Let g(a) = 26*a**2 + 3*a + 1. List the prime factors of g(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.16441 nanometers to meters.\nAnswer: 0.00000009916441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 13 = 31. Let v be (0 - 0) + 19 + p. What are the prime factors of 1378\/v + (-10)\/40?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 314061 or 8793711\/28?\nAnswer: 8793711\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 250, 443, 598, 709, 770?\nAnswer: 775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 84.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17299?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*s - 5*c, -8*s = -7*s - 2*c + 11. Put 1, s, 106, 2 in increasing order.\nAnswer: s, 1, 2, 106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipujgbgjbbujubuupbgj. What is prob of picking 1 b and 1 j?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116 - -133)*(5\/3 - (115\/15 + -8))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2044 - 3?\nAnswer: -2051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*f - 2*r - 282, 4*f - 4*r = 228. Suppose s + 5 = -2*q + f, -5*s + 2*q + 221 = 0. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87463374 divided by 87463374.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orerrrrmrrrmrrem. Give prob of picking 1 r and 1 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -417 (base 13) to base 3\nAnswer: -221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 12) in base 13?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127 by -52.\nAnswer: -127\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 211, -0.38, 4, 17, 8, 2 in increasing order.\nAnswer: -0.38, 2, 4, 8, 17, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 112056?\nAnswer: 112056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/8 - 3) + 10\/(-4). Let o be (k*(-2)\/(-1))\/(-2). Suppose 28 = 4*f - v, 0*f + 21 = 3*f + o*v. Is f greater than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/10 and 33\/176*52\/(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 291*u**3 - 290*u**3 + 0*u - u + 49 + u**3 - u**3 + 3*u**3 + (-u - 3*u + 6*u)*(7*u**2 - 3*u**2 - 2*u**2).\nAnswer: 8*u**3 - u**2 - u + 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(15 + 7 + 4)*(4*x**2 + x - 1 + x - 5*x**2).\nAnswer: 52*x**2 - 104*x + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 0*h + 4. Let k = h - -6. Solve -k*g - 2 = 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/203922 and 79\/162.\nAnswer: 1835298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 244 and 44286?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 355 and 81295?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-6))\/(2\/41). Let n = -35\/4 - g. Let f be -2 - (46\/14 + -4*13\/182). Which is the second biggest value? (a) f (b) n (c) -2\/15 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlxqq. What is prob of sequence xlqq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9 and 571590.093?\nAnswer: 571599.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(0*i + 0*i + 2*i**2 + (i + 0*i + i)*(3*i - 7*i + 2*i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d + 44 = -44. What is the second derivative of s**3 - 6*s**4 - 10*s**4 + 156*s + 2*s**d + 2*s**4 wrt s?\nAnswer: -144*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 95\/2. Which is greater: y or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -5 (b) 0.4 (c) 286 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 87 = -38. Let g be (-5)\/(-14)*20\/k. Which is the second biggest value? (a) 0.11 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*z**2 + 68*z**2 - 6*z**3 - 1 + 2 in the form y*z**2 + q*z**3 + m + t*z and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 459869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25.1 + 25.099999437. What is q rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2114683831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 4*a + 15, t + a + 7 = 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10777309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 141.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/1125 and -28\/237.\nAnswer: 88875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-4) + (-213)\/(-12). Suppose 4*q + 5*v = l, 5*v = q + 2*v + 4. Find z, given that z + 4*z**q + 0*z**2 - 1 - z**3 - 3*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3755.69 + 3.\nAnswer: 3758.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 225\/6)*24\/7. Let b = s + 159. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j + 8166*j**2 - 4080*j**2 - 4085*j**2 + 8 + 8. What is u(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.8, 0.3, -44\/1213 in descending order.\nAnswer: 6.8, 0.3, -44\/1213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110116868 divided by 13215677?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17 and -25\/2398716.\nAnswer: 2398716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -856, 0.3, -2, -2\/5, 6, -12?\nAnswer: -856","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/(-36)*2\/7. Let y = 0.35 + -0.05. What is the third biggest value in m, y, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10965 divided by -731\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3228 is divided by 54?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 31*l**3 + 2*l**2 - 2*l - 2. Let i(w) = 5950*w**3 + 385*w**2 - 385*w - 385. Calculate -1155*h(d) + 6*i(d).\nAnswer: -105*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 - c + 113. What is g(19)?\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58.84 - 3.16. Let r = g + 61.508. Round r to 2 dps.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3 + 1)*(-5*d**2 + d**2 + 3*d**2) - 8*d**2 + 7*d**2 + 38*d**2 to j*d + x + b*d**2 and give b.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2929510 and -22.2?\nAnswer: 2929532.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26364850 is divided by 346.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 413 + -25538?\nAnswer: -25125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 381211\/34 - 11213. Let w = z - -35\/34. Factor 0*a - w*a**2 + 0.\nAnswer: -2*a**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -417, 0.2, 0.4 in descending order.\nAnswer: 0.4, 0.2, -417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 10:28 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14 - 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1520111 - 3?\nAnswer: -1520114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3726567 (base 8) to base 2\nAnswer: 11111010110101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - 3 + 3)*(1 - 3*r - 1) + (3 - 3 - 2*r**2)*(-1 - 1 + 5) - 2 + 2 - 2*r**2 to the form v*r**2 + j + f*r and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 824\/5 + 2\/10. Suppose -5*z + u = 5*t, 3*t - 4 = z + 83. What is the second derivative of 12*d + d - 22*d**2 + t*d**2 - 17*d**2 wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/16 and -19\/256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -22705*p + 45444. What is h(2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 151\/3*(-16 - -4). Let t = k - -426. Let j = -127 - t. List the prime factors of j.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) -0.4 (c) -1\/29 (d) -3541\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1203*a + 349. Calculate the remainder when r(2) is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 514999.8l to millilitres.\nAnswer: 514999800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/30769 or 52\/43?\nAnswer: 1\/30769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -5. Find the third derivative of v**2 - 5*v**4 - 4*v**2 + 4*v**o wrt v.\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 2:18 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -32. Let i = v + 18.2. Let r = i + -1.2. Which is the nearest to 2? (a) r (b) -2\/7 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 - (-6 + (-2 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 675836935 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21645 and 481?\nAnswer: 21645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/(-8)*10\/(-110)*2. Let k(b) = -b - 1. Let u be k(-1). Suppose -i = 4*i - 2*y - 35, u = 4*i - 5*y - 45. Sort f, i, -4, -3 in ascending order.\nAnswer: -4, -3, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8382, 12020, 15646, 19266, 22886, 26512?\nAnswer: 30150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 153770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 21 + -22 - -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**5\/150 - u**4\/15 - u**3\/5 + 2*u**2. Determine d, given that z(d) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8093 - -13099. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*p - 840 + 859 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 9*m - 6. Let w be t(1). Suppose 4*q - j + 6*j = 32, -w = 3*q - 3*j. Which is bigger: 101 or q?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -231*h*u*v**4 + 35*h*u + 514*h + 5445*u*v**4 + 13*u wrt v?\nAnswer: -924*h*u*v**3 + 21780*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*m + 20, 2*f + 3 + 2 = m. Suppose -k - c = 7, k - 2*c = -m - 5. Let p be k\/3*6\/(-4). Solve -2*d - 18 = -4*w, 2*w - p*d = -0*d + 24 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 12*m**2 - m + 16. Let t be o(12). Let q be 4130021\/7 + t\/(4\/(-3)). What is q rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -297 (base 14) to base 15.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 - 139. Let o = -74 - s. What is the nearest to -0.3 in o, -2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 8\/3)\/(13*5\/975)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 207805 by -13.\nAnswer: -15985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21*2\/15)\/(2\/(-10)). Suppose n = 2*l - 14. Solve -1 = -l*g + 15*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01885917984 + 1.\nAnswer: 0.98114082016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/333 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - i + 2)*(1 - 2 + 3) + 1 + 6*i - 5*i - 9*i.\nAnswer: -10*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60634 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 282, 739, 1218, 1725, 2266, 2847, 3474?\nAnswer: 4153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + o - 224. Let f = o - -159. List the prime factors of f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9372 or 221?\nAnswer: -9372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14123, -56490, -127103, -225962, -353067, -508418, -692015?\nAnswer: -903858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -1\/2*u**2 - 2\/3*u**3 - 105 + 2*u - 2*u**4. What is j(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*y + 8. Suppose -2 - y = 2*b. Let a(p) = 9*p**2 + 2*p. What is the tens digit of a(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*m - 2 - 243*m + 2 to s + f*m and give f.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqm when three letters picked without replacement from fomawfqqaqf?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4007542?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 11949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.12154399 rounded to three decimal places?\nAnswer: 3.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 + 1646*z\/3 - 89800.\nAnswer: (z - 150)*(z + 1796)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-1)\/(-3)) + 8. Suppose -a*r = j + j - 358, -3*j + 292 = 4*r. Is r a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5202143 (base 10) in base 5?\nAnswer: 2312432033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1852*p**2 + 1862*p**2 + 2*p**3 + 6*p**3 - 3714*p**2 - 10*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 9) to base 8\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -153, -314, -479, -648, -821, -998?\n\"Answer: -2*s**2 - 155*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 89*m**3 - 3*m**2 + 6*m. Let f(r) = 89*r**3 - 3*r**2 + 6*r. Let b(a) = -6*f(a) + 4*k(a). Find the third derivative of b(l) wrt l.\nAnswer: -1068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-45)*-3 - (-1)\/(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25682*i**2 - 7 + 7 - 25708*i**2.\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1. Let z be (3\/12*0)\/g. Suppose z = -63*k + 67*k - 28800. Round k to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 1 + 1)*(-2 + 10 + 0) + 7*l + l - 4*l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232399?\nAnswer: 307, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3329 + -3328.8. Which is the closest to 58? (a) 4 (b) -17 (c) -2\/9 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2508 and 792?\nAnswer: 15048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**2 - 2*w**2 + 0*w**2)*(5*w - w + w)*(0 + 2 + 0) as p*w**3 + t + s*w + o*w**2 and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25760281 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 4616.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + ((-2)\/(-2) - 42). Let z = 6 + -68. Let f = i - z. Calculate the lowest common multiple of f and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77.5 + -77. Let r = x - -1.5. Which is bigger: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84126180.\nAnswer: 2, 3, 5, 23, 60961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -77d?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1746)\/37539 - (6176\/(-172))\/(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*k + 2*a - 40, 0 = 3*a - 15. Suppose h + k = 36. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847)*2 - (sqrt(7)*-2*4)**2) + sqrt(315)\/sqrt(5) + ((sqrt(140)\/sqrt(4))\/sqrt(5))**2.\nAnswer: -441 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -757, 3, -1619 in descending order.\nAnswer: 3, -757, -1619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*b + 27, -40*b + 38*b + 23 = 5*l. Let u be (60 - -35) + (-3 + -2)*b. Calculate the greatest common divisor of u and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12226, -24597, -36968, -49339?\n\"Answer: -12371*r + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49111\/12 + -4090. Calculate the common denominator of c and -63\/220.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*j**2 + 41*j**2 + 6 + 410*j + 43*j**2 - 175*j**2 + 47*j**2.\nAnswer: -2*j**2 + 410*j + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077459 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = d + 20, 0 = -0*s + s - d + 16. Sort 4, s, -3, 1 in increasing order.\nAnswer: s, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**4\/3 - 2*t**3 + 20*t**2 - 50*t. Factor x(i).\nAnswer: -4*(i - 2)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3691.9 + -3692. What is the nearest to 1\/5 in -8, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4223 = 6*p - 1609. Suppose 8*k = -k + p. Suppose 6*i - 600 = -k. Calculate the remainder when i is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6678 or -6673?\nAnswer: -6678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*(-1*sqrt(117) - sqrt(117))\/sqrt(9) + (4*sqrt(117)\/sqrt(3))\/(-1*sqrt(3)*-6 + sqrt(3)))**2.\nAnswer: -96*sqrt(13)\/7 + 7684\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.132948 rounded to 2 dps?\nAnswer: 202.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -5*p**5 + 635*p**4 - 30690*p**3 + 682310*p**2 - 6405065*p + 13852815 = 0.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b + 11. Let s = -20 - -92. Suppose -s = -14*d - 4*d. Let g(z) = -3*z + 6. Give d*a(y) - 7*g(y).\nAnswer: -3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 + -1. Let r = -103 + 37. Let k be (-76)\/(-30) + r\/55. Which is the closest to m? (a) k (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 2*y - 10*n, -10*n = -3*y - 15*n + 173. Let d be 1 + -1 - (28 + 0). Let i = -15 - d. Calculate the remainder when y is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + j - 6 = 4*j, -4 = -b + 2*j. Suppose -4*w + 3*h = -88, 3*w = -b*w + 3*h + 63. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 201\/2 - 103. Which is smaller: -2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 2. Suppose 0 = 3*g + w*s + 64 + 50, 2*s - 176 = 4*g. Let x = 70 + g. What is the remainder when 82 is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*a**5 - 2*a**3 - 2*a**2 + 25*a wrt a?\nAnswer: -3360*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198450 and 587898?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 577495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -2, 0.47 in decreasing order.\nAnswer: 2, 0.47, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 39. Let k = 20 + -17. Suppose -k*u + 3*m + 243 = 0, 4*m = -0*u - 2*u + 138. What is the remainder when u is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -528*l + 17. Let p be o(-6). Suppose -n - 3 = 0, -4*f + 2*f + n = -p. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4039592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35424 and 2425032?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 401668184 divided by -3.\nAnswer: -401668184\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 43*w**5\/5 + 53*w**2 + 96. What is the second derivative of l(x) wrt x?\nAnswer: 516*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 + 1651*h - 1651*h - 4*h**2.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 6.9862.\nAnswer: -3.4931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -2*f**7\/315 - f**6\/720 + 211*f**5\/60 + 140*f**2. Let w(d) be the third derivative of h(d). Determine w(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-1 - (0 + -1)). Suppose i = -i - g*i. Solve 2*k + i = -4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 y when three letters picked without replacement from {y: 4, i: 6}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -118*w**3 + 19*w**2 + 14*w + 703. Let y(p) = 196*p**3 - 32*p**2 - 24*p - 1172. Let l(x) = -12*a(x) - 7*y(x). Differentiate l(r) wrt r.\nAnswer: 132*r**2 - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*i - 22, -2*l - 3*i + 14 + 18 = 0. Suppose -5*w - 37 = -7. What is the tens digit of (-14)\/w*(l + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115672 divided by -761.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 582672*m*o**4 - 5895578*m + 2*o**3 - 2*o wrt o.\nAnswer: 2330688*m*o**3 + 6*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 (base 13) in base 8?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 33095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2650534300 to the power of 1\/2, to the nearest integer?\nAnswer: 51483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + -3. Let l = 10 - g. Suppose 6*q - 11*q + 24 = -3*w, 4*w = 4*q - 16. Calculate the smallest common multiple of q and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1077095 (base 12) to base 13.\nAnswer: 86098a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6125245470.\nAnswer: 2, 3, 5, 149, 456767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57.21336 + -0.01664. Let j = f - -57. Let t = -0.134 - j. Round t to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233513 is divided by 828.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 213 - -312144?\nAnswer: 312401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1109 - 263 = -6*v. Let a = v - -126. Let o(q) = -q**3 - 16*q**2 - 16*q - 18. Give o(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2280*r**2. Let y(n) be the second derivative of n**4\/6 + 7707*n. Determine y(d(k)).\nAnswer: 10396800*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22010 - 101?\nAnswer: 21202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 1 - 1)*((-1 + 3 - 4)*(-2 + 0 + 1) + 0 + 0 + 2 + (-2 + 3 + 0)*(-3 - 4 + 4)) + (-2 - 3*m + 2)*(3 + 4 + 23).\nAnswer: -92*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 - 456800*g**2 + 913599*g\/2.\nAnswer: g*(g - 913599)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*t + 367 = -1965. Let p be -2*2\/(-10)*10. What is the highest common factor of p and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*w + 17, 3*b - 5 = -2*w + 4. Sort -5, -2, b in ascending order.\nAnswer: -5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20\/7? (a) 1 (b) -0.22 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p - 3. Let i(c) = -6*c + 3. Let u(y) = -4*i(y) - 3*t(y). Let j be (3\/9)\/((-3)\/(-27)). Determine u(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 9*r - 9. Let b be l(-7). What is the units digit of (b\/15)\/((-2)\/(-228))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*w = 28, -4*w + 35 = -5*a - 3*w. Let g(o) = 3*o**2 + 11*o + 17. What are the prime factors of g(a)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 730 + -475. Suppose 3*b = -g - 2*g + f, 0 = 3*b - 3. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 1)*(351 - 351 + 23*t) to the form k + n*t and give n.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - (20 - -4)) + 1 + 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (64 + -2) - (3 - 1 - 14)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -21, -51, -149, -345?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2332 + 4502*o**2 + 2329 - 4661 in the form l*o**2 + z*o + t and give l.\nAnswer: 4502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/64 and -39\/86728.\nAnswer: 693824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a + a**2 + 9 - 7*a + 8*a. What is the remainder when c(8) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-27)\/24*264\/18)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -12 + 18 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -68780, -68881, -68980, -69077?\n\"Answer: l**2 - 104*l - 68677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*k - 284669 + 90395, -4*t = 5*k - 388574. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1015, 4121, 9275, 16477, 25727, 37025, 50371?\n\"Answer: 1024*y**2 + 34*y - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (0 - (-2 - (2 - 1)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-8) - (-18 - -20)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 740 = 5*m, 4*m + 5*r - 311 = 281. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 250 = -0*z - 42*z, -2*z + 9 = -3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/17 - -65\/119. Let m = 5\/7 - w. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 131 = -5*v - 6*y, 4*v = 2*y - 116. Let u(b) = -b**3 - 27*b**2 + b + 60. Is u(v) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1925\/140*(768\/20)\/12 + (5 - -1)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 5. Let d be q(0). Let g(t) = 3440*t**2 - 3441*t**2 - t + 1 - 8*t. Is g(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p**3 + 2*p**2 + 45*p + 4. Let c(a) = -15*a**3 + 4*a**2 + 90*a + 7. Give 6*c(l) - 11*n(l).\nAnswer: -2*l**3 + 2*l**2 + 45*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {u: 12, c: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**2 - f + 3. Calculate the least common multiple of w(-2) and 21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 0*z + z)*(4855 + 3080 - 1733) to r + b*z and give b.\nAnswer: -6202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 2324430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7789, 15559, 23327, 31093, 38857?\n\"Answer: -n**2 + 7773*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9400 - -10969. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43778*l**2 - 36*l - 4478549.\nAnswer: 87556*l - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q - 11. Let v be g(4). Let x be v\/(-4) - 43\/4. Let l = -16 - x. Sort l, -1\/5, -3 in ascending order.\nAnswer: l, -3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 441115 at least 20732427\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*n + 5*y, -9 = 4*n - 2*n - 5*y. Suppose -44 = -2*o - 4*t, 5*o - n*t - 43 = 28. Solve 3*j + 11 - 2 = 5*a, 4*a + 2*j = o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 312, 1023, 2402, 4671?\nAnswer: 8052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b + 7*b + 7*b)*(-4 + 4 + 3*b**2 + (-3*b**2 + 0*b**2 + b**2)*(0 + 2 - 3) - 30 + 30 + 13*b**2 + 3*b**2 - 6*b**2 - b**2 - 3*b + 3*b - 2*b**2).\nAnswer: 84*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -9*c + 8. Is h(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4928 by -44.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**5\/300 - m**4\/24 - 2*m**3\/15 - 7*m**2 - 7*m. Let a(s) be the first derivative of h(s). Determine o, given that a(o) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 62 = -17*i - 28 + 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**2 + 1099*b. Let o(l) = -3*l - 12. Determine o(i(p)).\nAnswer: -12*p**2 - 3297*p - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -211\/787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 8*z**2 - 8*z - 7. Let i be k(-8). Suppose -i = -9*o - 12. What is the highest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(136))\/sqrt(8))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.35 and 45.5?\nAnswer: 45.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 93\/124 + (-8089061)\/(-4). Let z(v) = 25912*v + 2. Let x be z(-3). Let u = x - y. Round u to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/21? (a) 0.2 (b) 3 (c) 59 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqmmmzmqmz. What is prob of sequence zz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*i**3*x - 156*i**2*x + 2*i**2 wrt i.\nAnswer: -366*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c + 0 + 7 + 7. Let j be (-6)\/(-11) + 9480\/1738. Let z be a(j). Sort 2, -2, z in descending order.\nAnswer: 2, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1085 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87693527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 1 (c) 0.188 (d) 2\/3 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = 765 - 181. Let z = 79 + l. Let b(m) = -m**3 + 10*m**2 + 2*m - 1. What is the tens digit of b(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + -3 + (2 + (1 + sqrt(2736) - sqrt(2736)) - sqrt(2736)) + -4 + 0)**2.\nAnswer: 144*sqrt(19) + 2772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**2 - o + 5. Let q(a) = -2*a**2 - a + 3. What is -5*q(g) + 3*z(g)?\nAnswer: -5*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 (base 13) in base 2?\nAnswer: 101110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**2*n**3 - 90*m**2 + 44*m*n**4 + 930*m*n**2 + 4*n**4 + 4*n**3 wrt n.\nAnswer: 12*m**2 + 1056*m*n + 96*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, h: 1, p: 3}. What is prob of picking 2 r and 1 p?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkvvakkvdkdkddd. What is prob of picking 2 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 12\/6 - (-1 - -4). Let c(x) = -x**2 + 1. Calculate c(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/j**7)\/j)\/j*j*((j**1*j)\/j)\/j)\/(j*j*j*j**6*j*j\/(j\/j**(3\/10)))*(j**(-3)*j*j*j**(-2\/9))\/(j**(-1\/3))**(-2\/95) assuming j is positive.\nAnswer: j**(-5995\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 408 (b) 2 (c) 3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -15*w**4 + 50*w**3 + 85*w**2 - 240*w - 180 = 0.\nAnswer: -2, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10\/7 (b) 1 (c) -3 (d) 5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1802060 by -1802060.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71537 is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/63 and 47\/756?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -48. Let b be (-4)\/c + 4140\/99. Let y = 43 - b. Solve 2*s = x - 4, -x = 2*s + 7 + y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*c**2 + 126*c**2 + 69*c**2 + 108*c**2 + 68*c**2.\nAnswer: 283*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12188 - -2.9?\nAnswer: 12190.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 - 138*f + 129. Let y(p) = -3*p**2 + 69*p - 63. Let t(g) = -3*n(g) - 5*y(g). Solve t(z) = 0 for z.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s**3 + 6*s**3 + 16*s + 20*s - 36*s.\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436.12765 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4, -15*v + 14*v - d = -11. Suppose 17*j - 22 = v. Solve n = 4, 4*n - j*n - 23 = -5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1818\/(-48)*(-7)\/(-21) and 121\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-7 - -4) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.5, -118, 4, -11 in increasing order.\nAnswer: -118, -11, -0.5, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 182902 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -116 + 106 + 0 + (8 - 10) + -23\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 35\/(-54) + (-183)\/122. Which is the second biggest value? (a) w (b) -3 (c) 3\/5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 l when two letters picked without replacement from glddgdgggldgglggglg?\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -10068.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 24.974. Let q = j + -14.826. Let r = q - -15. What is the nearest to -2 in -3, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174717231308 + 0.0104\nAnswer: 174717231308.0104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -13?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**3 - 24810*y**2 + 30751980*y + 61603240 = 0.\nAnswer: -2, 2482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 832*b**2 + 837*b**2 - 1658*b**2. Let q(v) = -18*v**2. Calculate q(h(y)).\nAnswer: -2178*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*a + 19 = 3*k, 5*a + 23 = 4*k. Let i be 21\/6*(-10)\/a. Put -5, i, 2 in descending order.\nAnswer: i, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -5.9. Let r = -8.96 - -9. Put 2\/5, r, v, -2 in descending order.\nAnswer: 2\/5, v, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f - 318 = j - 59, -3*f + 2*j - 37 = 0 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.24622 - -50.\nAnswer: 50.24622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-9) - 2)*-4. Suppose 324 = -4*c + 85*c. Suppose -t*i**2 - 1\/3*i**c + 5\/3*i**3 + 0 + 4\/3*i = 0. Calculate i.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = -41*j - 181. Let b be 0 + 4 + 6 + j. Let f = -52 + 75. Solve -2*w - f = 5*d, 3*w + b*d + 9 + 9 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -289.505 rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 114 (b) 0.1 (c) -17 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 4 - 5*x)*(-6*x - 23*x + 7*x).\nAnswer: 110*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -210? (a) 22663 (b) -5\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + -12 + (-152)\/16*-2. What is the highest common factor of n and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*u**2 + 27 - 44*u**2 + 15*u**3 - 27 - 43*u**2 - u**3.\nAnswer: 14*u**3 + 20*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert a5 (base 12) to base 16.\nAnswer: 7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7879086144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(1 - (-2)\/(-4)). Let g(f) = 33*f - 4716. Let y be g(143). Solve i = -y*u + u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-36))\/(((-18)\/24)\/(-3))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 887\nAnswer: -1\/887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udrd when four letters picked without replacement from {w: 1, r: 7, u: 2, d: 3, c: 6}?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5*(4\/(-16) + 486\/(-8))?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2042 is divided by 509.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -185 + -5. Which is greater: j or -191?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19677 + -19643. Which is the nearest to 2\/71? (a) q (b) 3\/8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*r**4 - 47117*r**3 - 39*r**2 - r + 437.\nAnswer: -168*r - 282702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1 + 39*k - 1 + 60*k + 42*k. Let s(w) = 9*w. Calculate s(z(d)).\nAnswer: 1269*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + -1 + (-163 - -162).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000137356 rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 16 = 0, -5*g + 2*x = -19 + 1. Suppose -g*l + l = o - 17, 29 = o + 5*l. Let f = 23 - o. What is the highest common divisor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-33) - ((-8000)\/(-825))\/16\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695 >= 1582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 3 - 1)*(4*a - 5*a - a) + 1 + 2*a - 1 - 3*a + 2*a + 3*a - 3 + 3 - a)*(-5 + 5 - 2) to w*a + v and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(72\/120)\/(4\/(-190)*(-3)\/(-2)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3326310 or 3326309?\nAnswer: 3326310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1700) + 0 + 2 + 3 - -3*(-1 + sqrt(1700)*2 + sqrt(1700))))**2 + 2.\nAnswer: 14400*sqrt(17) + 6120146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -6002\nAnswer: -6001.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -3, -1\/8, 3\/17027?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + s - 72 - 96, 4*s = -d + 162. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1880 and 21\/11560.\nAnswer: 543320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/15)\/((-618)\/(-90) + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1550 is divided by 141?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 16 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -142 - -222. Let w = z - 75. Let x(j) = j**3 + 13*j**2 - 15*j - 12. Let o be x(-14). Solve 0 = w*h + o - 17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 10\/99791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 142701021?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*y - 780070 = 273411. What is the smallest common multiple of 4134 and y?\nAnswer: 45474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in years?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2711\/1524 + -11\/381. Which is the second biggest value? (a) -3\/14 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6660.9299 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3465008 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 1904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*a = -7, -8*v + 3*v - 2*a + 71 = 0. Let j = -44 + 40. Let m be (j + (0 - -2))*-60. What is the highest common factor of v and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1581 + -1426. Calculate the remainder when 319 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 452744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1487?\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 10*h - 12. Let x = 9 - 11. Let l = 10 + x. Calculate g(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(190))\/(-1*sqrt(10)*4) - ((sqrt(456) - (sqrt(456) - (sqrt(456) + sqrt(456)*-2)))\/sqrt(12))\/((sqrt(32) + sqrt(2))*3)) + 2.\nAnswer: 2 + 17*sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4748226*j + 4748226*j - 11*j**2.\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**2 + 11*v. Suppose -4*u + 108 = 100. Let y be a(u). What is the smallest value in 7, y, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 24, -42, -5 in increasing order.\nAnswer: -42, -5, -2, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**4\/4 + 2*f**3 - 2*f**2 + 1. Suppose 0*z - 10 = -2*z. Give b(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 382972 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/4 - 1\/2) + 79 + -83?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169371925 a multiple of 515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1253 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48985349 is divided by 1728.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3886 times 74\nAnswer: -287564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(2\/3)*f\/f**(-2\/3)*f\/(f\/f**(-6))*f*f**0*(f**1*f**7*f)\/(f\/((((f*f**1)\/f)\/f*f*f)\/f)*f**5) assuming f is positive.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + 4*(0 + sqrt(500)) + -5*(sqrt(500) - (sqrt(500) + -1)))**2 + -2.\nAnswer: -320*sqrt(5) + 8011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15304 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: Round -232485.15 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/9 + (-2)\/12. Let l = -0.09 + -0.01. What is the closest to x in l, 5, -9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*r - 156*r = 165. Let m = 49 + r. What is the nearest to -9 in -0.2, m, -2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 4*f**2 - 12*f + 12. Let g be i(-6). Solve h - 4*n - 10 = 0, -g = 3*h + 3*n - n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/28*(16\/(-3) + (109 - 109)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 156*o. Let l(n) be the second derivative of n**3 - 395*n. Calculate l(z(k)).\nAnswer: 936*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*s + 17, -2*o - 10 = 4*s - 0*o. Let m(r) = -10*r**3 + r**2 + r. Calculate the least common multiple of m(s) and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 274717.7us to seconds.\nAnswer: 0.2747177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(3)*1) + -3.\nAnswer: -3 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -12 and 7\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w = 3*q - 3, -5*w - 4*q = -23. Let d(t) = t + 74. Let g be d(-70). Solve -g = -m - w*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**2\/7 + 102*z\/7 - 2201\/7 = 0.\nAnswer: 31, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14018, 22286, 30554, 38822, 47090?\nAnswer: 55358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) 0.08 (c) 1 (d) -7.7 (e) -4\/7 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3 + 2, -n = 5*v - 16. Let i be -3*(v\/((-9)\/70) - -2). What is the lowest common multiple of 16 and (1\/(2\/i))\/(2*1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/3 and -107\/6534.\nAnswer: 6534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 20079.68 meters?\nAnswer: 20079680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**5\/120 + m**4\/12 - m**3\/6 - 5*m. Let z(t) be the second derivative of f(t). What is the first derivative of z(i) wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*h + 6*h + 466 = 0, u = h + 231. Suppose -u - 88 = -15*q. What is the remainder when 80 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17178, 68696, 154574, 274818, 429434, 618428, 841806?\n\"Answer: g**3 + 17174*g**2 - 11*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**7\/7980 + 7*q**6\/190 + 1323*q**5\/380 + 5*q**3\/3 - q - 251. Let t(n) be the third derivative of u(n). Factor t(g).\nAnswer: 2*g*(g + 63)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016256874 to 4 dps.\nAnswer: -0.0163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/30 and 79\/70470.\nAnswer: 70470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/6 - 145*b**4\/2 - 3097*b**3\/6 + 1303*b**2\/6 + 1692*b + 3094\/3 = 0.\nAnswer: -7, -1, 2, 442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116428410 and 21742.\nAnswer: 116428410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00035463137 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1 = 3*h - 2, -2*h - 2 = 0. Suppose 3*a = 9, l*r + r - 51 = 3*a. Let o = -3 + 7. Solve g + o*g - r = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33346437991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -96 (b) -0.4 (c) -0.3 (d) -0.02 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 0*d - 6*d**2 + 4*d + 8 + d + d**3. Suppose -m + 0*a + 1 = -a, a = 5. Calculate the smallest common multiple of 14 and h(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -w - 2. Suppose 0 = -3*k + 6*k. Solve w = x, 2*b + k*b + 5*x = -5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 16 + 14 = -3*n, 5*w - 24 = 5*n + 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 4*p - p - 4*p + 3*p + 3*p + (2 + 0 - 4)*(-p + 2*p + p) + 0*p - 3*p + 2*p + 2*p + 1 - 1 - 2*p + p + 2*p)*(-1 + 3 + 0)*(-4*p + 4*p + p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (4 + (-12 - (6 + -6))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 371 + -737\/2. Let w = 282 + -279. Sort w, -1\/2, a, -1\/5 in decreasing order.\nAnswer: w, a, -1\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 5*u - 1. Let b be i(-5). Let k be (5 - 1 - b) + 2. Solve 3*z + k = 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -206605.8*-0.06\nAnswer: 12396.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**2 - 4*u**3 - u**3 + 5 - 8*u + 6*u**3. Let a be q(-7). Suppose 0 = 4*n - n - a. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3202 + 2?\nAnswer: 3204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -25*l + 38*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/1 - (-6)\/(-2). Suppose -q*k - 7 = -2*k. Find the common denominator of -53\/2 and (0 - -3) + k\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/320 and 26\/45.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t + 2. Let b(f) = -f + 1. Suppose 0 = -4*p + p + 9. Let o(n) = p*b(n) - w(n). Let j(z) = z**2 + 5*z + 3. Determine -2*j(y) + 5*o(y).\nAnswer: -2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/48 + 550\/(-84) + (-63)\/(-7).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005235 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1923.864 rounded to the nearest ten?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 3*g**4 + 51*g**2 - 24*g + 1975*g**3 - 2005*g**3 - 60 = 0. What is g?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -22*l + 1. Let t be p(-1). Let u be (28\/1)\/(-19 - -18). Let y = u + t. Let v(n) = 7*n. Let g(x) = -3*x. Determine y*g(s) - 2*v(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(2\/29)*(x\/(x\/(x**(7\/3)*x)))\/x assuming x is positive.\nAnswer: x**(284\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5170251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80723466.\nAnswer: 2, 3, 181, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w + 164. Let c be x(-27). Suppose 0 = 5*y - 5*z, 122 - 126 = y - c*z. Suppose -61 = -5*d - 2*o, -20 - 12 = -4*d + 4*o. Which is greater: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7577*l + 7510*l + 8509 for l.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -0.877.\nAnswer: -4.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69844197 by -678099.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -5*z**2\/2 - 69*z + 24. Let r be h(-13). Let n = 0 - -5. Sort r, 4, 0, n in decreasing order.\nAnswer: n, 4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -0*c - 3*c + d - 9 + 10, 0 = 5*c - 2*d + 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*f - 74. Differentiate 67*m + 97 + f*m + 70*m with respect to m.\nAnswer: 151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*4\/(-1 - 1). Suppose 0 = i*r - 13 - 7. Put 0, -1, r, 3 in ascending order.\nAnswer: -1, 0, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10413, 20834, 31255, 41676, 52097?\nAnswer: 62518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 + 39.9. What is the nearest to b in 5, -3\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -6 + (28 - -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-27) - 96\/108?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 10, 5*r - 10 = -2*i - 3*i. What is the lowest common multiple of 14 and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -44*b - 152. Calculate the smallest common multiple of o(-8) and 45.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(8\/17)\/w*w**(-13) assuming w is positive.\nAnswer: w**(-230\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2980*d**3 - 1479*d**3 - 8604*d - 2 + d**2 - 1494*d**3.\nAnswer: 7*d**3 + d**2 - 8604*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.8 minus 412.3746?\nAnswer: -438.1746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*j + 2*s, -15 = -22*j + 17*j + 5*s. Let l(p) = p + 5. Let a be l(-3). Let y = a - j. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63204782 is divided by 122?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a + 3*a**2 - 2*a**2 - 4 + 3. Let j(p) be the second derivative of -p**5\/20 - p**4\/2 + 2*p**2 + p. Let y be j(-6). Calculate c(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111a (base 13) to base 14.\nAnswer: c29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 289 - 289.3. Which is the closest to -1\/4? (a) r (b) -1 (c) 4 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 726.357024 rounded to the nearest ten?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 7:58 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7223 + 7211. Let s(u) = -u**3 - 14*u**2 - 23*u - 8. Give s(j).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 223252 - 4684199\/21. Let c = o - 195. Is -1\/4 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 960 and 7707168.\nAnswer: 77071680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + r**3 + 30*r**4 + r**2 - 43*r**4 + 14*r**4 - 3*r to u*r + w*r**3 + z*r**2 + l + s*r**4 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8592 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/260, 7, 30, -0.086?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 3*u + 2*c, 0 = 5*c. What is the second derivative of w**2 + 18*w - 3*w - 5*w**u wrt w?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1221 and 304288?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3343759 less than -3343763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 4)*(30 + 17*s - 30)*(2*s + 10*s - 3*s) as d*s + j*s**2 + l and give j.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 946 less than 946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/3 - 8*m**3\/3 - 22*m**2\/3 - 8*m - 3.\nAnswer: -(m + 1)**2*(m + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j**2 + 2*j - 2. Let t(i) = i**2 + 5*i - 2. Let v be t(-5). Let z = -24357 - -24363. Calculate the least common multiple of q(v) and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183515032 to the nearest integer?\nAnswer: 13547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7138217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 6*l**2 - 5*l + 4. Let n be z(5). Suppose 5*p = 7*p - n. What is the third derivative of 41*h**2 + 0*h**3 - 3*h**3 - 34*h**p wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*t + 6, 4*t = -5*j + 23. Let l = -352 + 349. Which is the closest to -0.3? (a) 1\/8 (b) j (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 - 20107*a + 2331571\/4.\nAnswer: (a - 80399)*(a - 29)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 648559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -162149.\nAnswer: -9\/162149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -30. Let n be (-54)\/(-72) + ((-447)\/j)\/3. What is the greatest common factor of 38 and n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f - 2. Let u be m(-1). Solve u = -4*n - v, -n + 2*v = -2*v + 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80289 and 495?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 275 + -194. Let t = n - 30. Calculate the remainder when t is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12655587?\nAnswer: 3, 7, 602647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441074130?\nAnswer: 2, 3, 5, 7, 2100353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -357 (base 12) to base 6.\nAnswer: -2151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-14) - (-36)\/(-17 + 8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 47*w - 154. Calculate x(6).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -43163440 divided by -10790860\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 3*a**2 + 6*a + 8. Let t be d(6). Let r = t - -127\/2. Let v = -5\/16 + 77\/144. What is the closest to r in -17, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131592585.\nAnswer: 3, 5, 8772839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**2 + 4*u + 4. Let r(x) = -45*x**2 - 35*x - 35. Let w = -11 + 15. Calculate w*r(f) + 35*c(f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1469766785 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1266 - 13?\nAnswer: -1279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (304\/(-18240))\/((-8)\/(-72))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 - 10*n + 260. Does 12 divide b(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 6 = -4. Put k, 7, 1, -3 in decreasing order.\nAnswer: 7, k, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8)\/m*m**1)**(1\/74)*m**(-6)*m\/(m*m**4)*m**7\/(m**(1\/2)*m*m) assuming m is positive.\nAnswer: m**(-415\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m + 14 = 7*m - 2*i, -4*m - 5*i = 23 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 11*k**2 - k - 1. Let s be n(11). Let z be (64\/s - -2)*6\/(-4). Let o = 0.6 - 1. What is the second biggest value in 8\/5, o, z?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1863762?\nAnswer: 2, 3, 310627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1792) + sqrt(1792)*-4)\/sqrt(4).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 272 = 2*w, 185*k - 188*k + 156 = -3*w. Calculate the least common multiple of k and 1932.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(6*s - 37 - 32*s + 20*s).\nAnswer: -12*s - 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*p = 170*p - 3376 + 56. Let z = -267\/5 - -53. What is the third biggest value in -3\/8, p, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -23931.89?\nAnswer: -71795.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 31. Let o be 1\/(1\/1)*5. Suppose -s*u + o*l = -6, -2*l + 3 = u + 1. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*x**5 - 4*x**4 + 7*x**3 + 16*x**2 - 69?\nAnswer: -2820*x**2 - 96*x + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1406.1102 months to years.\nAnswer: 117.17585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 39, -51*t = -3*q - 49*t + 29 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.5645 + 2.4645. What is the closest to 1\/2 in -0.2, v, 0.87?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13883179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1880848396?\nAnswer: 2, 7, 1601, 41957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y**3 + 29*y**2 - 16*y - 24. Let d(j) = 3*j**3 - 19*j**2 + 11*j + 16. Let h(f) = 8*d(f) + 5*x(f). Give h(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.5 + -9.5. Let m be (2\/1)\/(1*-5). Let r(q) = 2*q + 2. Let h be r(-3). Sort h, m, g in increasing order.\nAnswer: g, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*x**2 - 4983*x**2 + 21855*x**2 + 7784*x**2 to c + h*x**2 + m*x and give h.\nAnswer: 24738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (45*s - 8*s - 3*s)*(4*s - 2*s + s) + 2*s**2 - 2*s**2 + s**2 in the form u + l*s**2 + g*s and give l.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001100 (base 2) to base 12.\nAnswer: 1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -411141?\nAnswer: -5\/137047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*sqrt(110)*5)\/(sqrt(640) + (sqrt(640) + sqrt(640)*-1 + sqrt(640) - sqrt(640)) + sqrt(640) + sqrt(640)).\nAnswer: -5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-20)*60\/432?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17064 or -17032?\nAnswer: -17032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2095\/3 - -719. Let l = 21548 + -818861\/38. What is the common denominator of l and v?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56730953.\nAnswer: 37, 293, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-6)*x)\/x*x**(-4\/3)*x*(x**(-1)*x)**(-1\/35) assuming x is positive.\nAnswer: x**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 5:12 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**5 - 5*d**5 - d**5)*(1 - 4 - 2).\nAnswer: 25*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8*r - 11. Let z = -16513 - -16637. Calculate the remainder when z is divided by i(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -3*z - 19, -3*h + 4*z = 2*h - 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -8427*n - 486. Is y(-6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 2*m**2 + 11*m + 1. Give n(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1172 = 43*v + 2677 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14053 divided by -47\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**5\/60 - n**4\/8 + n**3\/6 - 4*n**2. Calculate i(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 41.61358 micrograms?\nAnswer: 41613.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 601 + -1066. Suppose 921*t + 254888 = -172456. Is z greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23041 or -23042?\nAnswer: -23041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 5:22 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 20 = 2*d, d - 5*h + 8 = -12. Suppose 1573*x - 1572*x - 71 = 0. Let r = -71 + x. Solve d*z = -p + 20, -3*p + r*z = -2*z - 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000361454501 to 5 dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from gvgggggggmgggv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Suppose -5*l = 4*g - 2*g + 39, 2*g - 4*l = -48. Let k(x) = 12*x + 2. Give g*c(b) + 2*k(b).\nAnswer: 2*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2058 and 3588376?\nAnswer: 3692438904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*f**2*v**3 + 5*f**2*v - 19*f**2*w**2 + 452*v**3 + 2*v*w**2 wrt f?\nAnswer: -8*f*v**3 + 10*f*v - 38*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 5\/3, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 - 6*a**2 + 28*a - 22. Is 29 a factor of r(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = u - 27 - 36, 4*f - 4*u = 212. Calculate the greatest common factor of 638 and f.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 474168966 + -317.778.\nAnswer: 474168648.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 4*u + 40, -5*h = 7*u - 9*u - 59. Let p(a) = -13*a + 169. Let c be p(h). Solve -4*r + 3*y - 28 = c, 3*r + 2*r = 5*y - 40 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39676136*p + 1932 = 39676159*p for p.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.283? (a) -5 (b) -0.1 (c) 0.3 (d) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a**2. Let v be -2*(-1 - 4\/4). Let m(c) = 5 - c**2 - 1 - v. Calculate m(s(n)).\nAnswer: -81*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 691966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238, -477, -716?\nAnswer: -955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 5182160*q + 1342739113280.\nAnswer: 5*(q + 518216)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5387865 (base 11) to base 16.\nAnswer: -907a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15362670 and 17670.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 71 = 89. Let a(x) = -2 + 67*x + t*x + 0. List the prime factors of a(1).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o**2 - 2*o - 1. Let j(g) = -3*g**2 + 2*g + 1. What is -6*j(u) - 5*x(u)?\nAnswer: -2*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x + 33 - 213. Let v be (-6)\/5*(-100)\/x. Solve 3*g - 12 = 0, -c + 0*g = -v*g + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cck when three letters picked without replacement from aakmkkckmac?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, c: 3, f: 4}. Give prob of sequence fcff.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -227 - -677. Let h = n + -444. Solve -h*s - 20 = 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g + g)*(-4 + 2 + 3 + 3 + 1 - 3 + 3 + 0 - 4 + (0 + 1 + 1)*(4 - 1 - 1) + 10 - 15 + 8)*(6*g - 3*g - 15*g).\nAnswer: -96*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -575*g**2 + 2032 - 1236*g**2 + 443*g**2 - 2036 to y*g**2 + o + d*g and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.236838 minutes in microseconds?\nAnswer: 254210280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/(b**0\/b))\/b))**42)**42\/((b*b**4*b*b**(2\/17)*b)\/(b**(-5)\/(b\/b**(-4)*b))) assuming b is positive.\nAnswer: b**(-308\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 5, 0.152, 26, -4, 0?\nAnswer: 0.152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 7:46 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 346 = -94. Let k = 6923 + -6921. What is the least common multiple of t and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/sqrt(3) + 6*2*sqrt(7) - (1 + (sqrt(7) - ((sqrt(28) - -2*sqrt(28) - sqrt(28)) + sqrt(28) - sqrt(28)))))**2.\nAnswer: -38*sqrt(7) + 2528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 5. Let u be m(-7). Suppose -h + 2*x = -10, -3*h - u*x = 2*h - 110. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*d**3 + 34 + 94*d**3 - 34 - 155*d**3.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) + (-286)\/(-10). Suppose 300 = 33*k - g*k. Is k a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u + 5*u - 7*u + u - 4*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 82*i + 8740. Calculate u(-111).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.6182348 rounded to 2 dps?\nAnswer: 57.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 - 7*t**3 + 12*t - 18*t + 5*t**3 + 105 + 6*t**3 in the form f*t**2 + b*t**3 + c*t + u and give u.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112 (base 6) in base 14?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.58 * -100.8.\nAnswer: -58.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - m - 895, -4*w + 7*w + 4*m - 920 = 0. What is the greatest common divisor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -k + 2*b + 184, 3*k + 2*b = 550. Let s(n) = -3460*n - 3450. What is the least common multiple of s(-1) and k?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 p, 1 b, and 1 u when four letters picked without replacement from qqpubptqpu.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 235 + -167. Let i = -60.2 + k. Let d = -18.2 + i. What is d rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 1106?\nAnswer: 11060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 - 76306*w\/3 - 50872.\nAnswer: (w - 76308)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-5) + 28\/30. Let -1\/3*h**4 + l*h + 0 - 1\/3*h**3 + 1\/3*h**2 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, e: 1, z: 1, x: 3, v: 5, b: 1}. What is prob of sequence uxe?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10893 or -0.5?\nAnswer: -10893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 2501990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 338 divided by -13\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 3\/35, -1, 1\/5 in decreasing order.\nAnswer: 42, 1\/5, 3\/35, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/81 - (-56)\/9. What is the tens digit of ((-17)\/(-2))\/(o\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -181 - 3?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 32 = -0*c + 3*c, 4*c - i - 20 = 0. Suppose 4*b = -c - 12. Is -4 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2235 + 3549. List the prime factors of l.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c + 155*c + 119*c + 94 + 200 = -k + 20*c, 5*k = -c - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, g: 9, r: 5}. Give prob of picking 2 d and 1 r.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**3\/7 + 1719932*i**2\/7 + 184894839552*i\/7 + 2033635128624\/7 = 0. What is i?\nAnswer: -214986, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2 - 5*d + 2. Let l be n(2). Suppose -2*o + 4*o + 58 = 2*p, p + l*o - 4 = 0. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/207790 and 59\/164835.\nAnswer: 622746630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/823 - -1659\/10699. Which is the nearest to -3? (a) -1\/3 (b) -4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02927578 + -1\nAnswer: -0.97072422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q - 29. Calculate j(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/4)\/f*f*f\/(f\/(f*f*f**(-5)))*f assuming f is positive.\nAnswer: f**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21591841, 21591818, 21591795?\n\"Answer: -23*c + 21591864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**4*t**3*z + 44*k**4*t**3 + 44*k*t**3 + 3*t**3*z - 2*t**3 wrt k.\nAnswer: 24*k**2*t**3*z + 528*k**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10083 from -2000.60058.\nAnswer: -12083.60058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*i + 3 = 0, 0*l - 3*l + 23 = i. Let a = -12 - -15. Suppose a*d - 50 = d. Solve -l*v = -2*v - d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 - 93140*m + 4337529800.\nAnswer: (m - 93140)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/24 and -29\/912?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*f = f + 4, 3 = -3*u - 5*f. Let t = -4.7 + -1.3. Let o = t + 9. Which is the second biggest value? (a) -0.2 (b) o (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115915, -231848, -347781, -463714, -579647?\nAnswer: -695580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + -1*sqrt(162))\/(-1*sqrt(81)\/sqrt(9)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*r + 532, 3*k = -4*r - 0*k + 528. Let m = -28 + -25. Let u = m + r. What are the prime factors of u?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1345 (base 9) in base 10?\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100 + -55. Let m be (-18)\/h + 348\/895. Is -1 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 divided by -1.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 9*t = 2*h + 12, 3*h = 151*t - 147*t - 18 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23\/(11040\/(-944)) + (-2)\/((-16)\/20). Let p = 0.02 + -3.02. What is the fourth biggest value in -2\/5, p, -4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*x + 3004*x**3 + 106*x - 54*x.\nAnswer: 3004*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a\/(a\/a**(-1\/3))*a))\/a)\/(a*a**(-14)\/a*a))**(-2\/27)\/((a\/((a*a**(2\/9))\/a)*a)\/a**(-3\/8)*a**0*a**1*a) assuming a is positive.\nAnswer: a**(-3331\/648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + -3 - 0 - -44 - -18.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 322972907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -0.58 (b) -11\/5 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 165*f**3 - 2*f + 1934.\nAnswer: 495*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13007089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from {r: 4, g: 3, b: 13}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0402213 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.6 - 3.2. Let r = -3.98 + 0.18. Let a = l + r. What is a rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36036 - -35975. Let n(x) = 32*x + 3. Let d be n(-2). Is m at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -5. Let p(o) = -o + 4. Let u(g) = -g + 5. Let x(y) = 5*p(y) - 4*u(y). Let s(q) = -2. What is i*x(a) - s(a)?\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12957 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: Expand (1 + 2 + 3*l - 5)*(-46*l**2 + 113*l**2 - 40*l**2).\nAnswer: 81*l**3 - 54*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2495760 to the nearest integer?\nAnswer: 1580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/255 and -26\/11.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91.699691 - -107.69969162. Let t = c - 16. What is t rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**5 + 1143*u**4 - 10407*u**3 - 414*u**2 + 29611 wrt u?\nAnswer: 60*u**2 + 27432*u - 62442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59868.8ns to milliseconds.\nAnswer: 0.0598688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.16718 rounded to 1 dp?\nAnswer: -45.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 12*h**2 + 17. Let p be ((3 - 0) + -4)*-11 + 1. What is the tens digit of d(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/49*(-4)\/(16\/(-28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v - 7. What is u(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - 4 - 84\/(-2). Let m = -1 - -1. Suppose m = 3*k + k - j. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*n + 22*n - 7*n**2)*(42*n + 0*n**2 - 50*n - 52*n**2) as q*n**4 + c + p*n + y*n**2 + w*n**3 and give q.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/9)\/((-70)\/21))\/((-6)\/(-210))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 5) to base 3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 2107?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, w: 1, s: 9, h: 1}. What is prob of picking 2 k?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 0*x**2 - 3*x**2)*(2 + 3 - 2) - 20*x**2 - 2*x**2 + 6*x**2.\nAnswer: -19*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*m = -2*b - 12, 4*m - 12 = -2*b. Let j = b - 1. Let u be (-7 - -1)\/(j*2). Solve -11 = -u*t + 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 637 = x, x = -4*f - 270 + 913. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i. Let g(v) = 2 + 671*v**2 - 694*v**2 - 2. What is s(g(z))?\nAnswer: 23*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 204 times 7797\nAnswer: 1590588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1866\/11 - -57263\/341. Let r = d + 389\/155. Suppose r*o**4 + 8\/5*o + 4\/15*o**2 - 22\/15*o**3 - 16\/15 - 2\/15*o**5 = 0. What is o?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -201 - -502. What are the prime factors of y?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 229\/1272 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 446*i**3\/3 + 756*i + 2327. What is the derivative of p(t) wrt t?\nAnswer: 892*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 - 32912*w\/3 + 2669082.\nAnswer: 2*(w - 16209)*(w - 247)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735679.\nAnswer: 7, 105097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 + -116 + (16 - 1) + 5 + -4 + -8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6429.\nAnswer: 3, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012675 to 6 decimal places.\nAnswer: -0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3296295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/(-60))\/(1\/(-4)). Let q(k) = k**3 + k**2 - k - 1. Let y(t) = -9*t**3 - 3*t**2 + 3*t + 2. Let l(p) = 3*q(p) + y(p). Calculate l(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -11. Let a = 0.1 + -4.1. Let n = a + h. Sort 1, -3\/4, n in descending order.\nAnswer: 1, n, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i**4 + 45*i**3 - 379*i**2 + 563*i - 308. Let o(s) = s**4 + s**3 - s**2 - 9*s - 1. Let f(l) = 40*o(l) - 5*v(l). Suppose f(p) = 0. What is p?\nAnswer: 1, 15, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715 is divided by (-5)\/4*(-3072)\/160?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 0 = -16. Suppose -d*u - 105 = 3*u. Let w be 42\/36*(-12)\/u. What is the second biggest value in w, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/360 and 121\/6042690.\nAnswer: 24170760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 957.858 and 64?\nAnswer: 893.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -771, -12193, -43065, -103113, -202063?\nAnswer: -349641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -55? (a) 16 (b) -43 (c) 0.4 (d) 0.001\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f - 5*f + 2 + 4. Calculate s(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m**2 - 3*m**2 - m**2)*(0*m + 4*m - 3*m) - m**3 + m - m + 21690*m**3 + 8559*m**3 + 2539*m**3 + 6589*m**3.\nAnswer: 39378*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -247358\/11 > -22486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 583 - 598. Let a be 2\/x - ((-135)\/15)\/(-45). What is the biggest value in a, -2, 0, -8\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17428773 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 650696 and 5?\nAnswer: 3253480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, l: 3, p: 5}. Give prob of sequence lpp.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**5\/4 - u**4\/6 - u**3\/3 - u**2\/2 - 4*u. What is t(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -449*j*n**2 - 7*j*n + 45*j + 351147*n**2 - 5*n wrt j.\nAnswer: -449*n**2 - 7*n + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.79 times -0.098115\nAnswer: -0.07751085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1088 and 2.17033120364?\nAnswer: 1090.17033120364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 677 + -670.53. Let y = 18.2 - 12. Let s = y - q. What is s rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3453124*a - a**2 + 3453124*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -71 in 4, 0.1, 3, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 50778, 50779, 50780, 50781?\n\"Answer: h + 50777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18806 is divided by 448.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-19 + -9 - -20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2932 + 2932 + 443*c**2 + (-2*c - 2 + 2)*(-3*c + 20 - 20) to i + u*c**2 + q*c and give u.\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.2 - 11. Let s = 2.78 - 0.48. Let c = s + -2.4. Which is bigger: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (30011\/(-1818))\/(3\/9). Let g = -7\/303 - h. Let v = g - 49. What is the smallest value in -0.4, 1, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o. What is the third derivative of -5*f**2 + 2*f**2 + f**6 + o*f + 0*f wrt f?\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.0532 + -1.4998. Round j to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7359 + -7362. Is a less than or equal to -0.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 35*f = 19082. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*n - 2, 0 = -m + 3*n + 40. Calculate the remainder when m is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 o, and 1 g when three letters picked without replacement from orryg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2354\/1533 - 166\/73. Let u = j + 22\/7. Let w = -9 - -14. Which is the closest to 0.1? (a) u (b) -1\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 16 - 23 = 0. Suppose 0 = -5*o + 10, -2*n = 2*n + 2*o - 24. What is the remainder when i is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010010011111010101010 (base 2) to base 16.\nAnswer: c93eaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -104 + 108.7. Let k = q - 4.5. What is the smallest value in -2\/7, 47, 2\/9, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2382.7717 rounded to the nearest ten?\nAnswer: -2380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exxcxvuxxevxevexv. Give prob of picking 1 c and 1 u.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 115, 429, 947, 1669, 2595, 3725?\n\"Answer: 102*v**2 + 8*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 4. Let t be w*(-3)\/(-9)*-15. Suppose -15 = -4*q + t. Is q <= -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/3, 1, 5, 99, -4, 2\/23?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290347*t**2 + 10400*t - 10400*t.\nAnswer: -290347*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.08 + -26.752. What is r rounded to one decimal place?\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -76, -70, -42, 2, 56, 114?\n\"Answer: -m**3 + 17*m**2 - 38*m - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8*(-6)\/132*2\/(-4). Which is the closest to -1? (a) n (b) 2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368666?\nAnswer: 2, 184333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*y - 16. Suppose t + y = 2*t. Suppose 18 = 3*p + 9. Solve -t = -v - p*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -2\/21*i**3 + 0*i - 1\/7*i**2 - 1. Factor q(k).\nAnswer: -2*k*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78322.8 weeks in microseconds?\nAnswer: 47369629440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3 = -4. Let u = d + 3. Let t(p) = -10*p**2 - 5 - 10*p**2 + 24*p**2 + 26*p - 5*p**2 - 25*p. Give t(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 5*a**2 + 2086*a + 14498. Calculate i(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*j + 293*j - 2541 = -12265 - 30701 for j.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 26*a - 2 = -28*a, 3*l - 6*a = 630 - 663 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - h + 14, -5*r - 7 = -6*r + 2*h. Suppose k - 2 = -b + r, 0 = 4*k - b - 16. Solve 25 = -k*z + 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 12:24 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 8*k**2 + 2*k - 15. Calculate x(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2278*b**2 - 160 - 2*b - 28 + 188.\nAnswer: 2278*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 65*i - 11. Let f(x) = 193*x - 32. Give -4*f(d) + 11*l(d).\nAnswer: -57*d + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 3458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(264)\/sqrt(6) - sqrt(44)))\/(sqrt(144) + sqrt(144)*-3 - sqrt(144)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30095104 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/((10\/21)\/5). Let f = y + -148. Let c = -9 + f. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -94*a**3 - a**2 + 8*a + 2. Is t(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -4. Let t be 3*(-1)\/(o\/(-6)). Do t and -9 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -10*o**2 - o + 2. Let j(d) = d**2 - 1. Suppose -5*m + 4*m + 2*k = -9, -10 = 2*k. Let y(a) = m*w(a) - 3*j(a). What is y(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934524 is divided by 42478.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 224586657*g*p**3 + 74*g*p**2 - g*p + 4*g - 545*p**2 - 4 wrt p?\nAnswer: 1347519942*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 133232?\nAnswer: 133303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11798 - 58986\/5. What is the closest to -277\/3 in j, 1, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2290*m + 100654 = 496*m + 88*m for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 7*i**2 - 6*i - 4. Suppose 2*c - 4 = -0*c. Suppose 2*t = -c*t + 32. Let m be h(t). Calculate the greatest common divisor of m and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2938 is divided by 77.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 2*o - 560 = -5*o. What is the greatest common divisor of 1036 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2030603745.\nAnswer: 3, 5, 47, 179, 16091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 11 = 3*m + 3, 0 = -4*m + x - 10. Let s be (21\/m)\/((-120)\/32). Factor -4\/5*g**2 + 4\/5 - s*g + 14\/5*g**3.\nAnswer: 2*(g - 1)*(g + 1)*(7*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/8*(4 - 1051570\/(-15)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 488305.\nAnswer: 244152.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 181564587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 17833.0573 to the nearest 100.\nAnswer: 17800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.775 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) 30 (c) -4 (d) -4\/13 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x. Let n(z) = 2302*z**2 + 18376*z. Determine a(n(r)).\nAnswer: 2302*r**2 + 18376*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 35506.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - v + 0)*(-v - v + 4*v) + (-117*v**2 + 5042 - 5042)*(1 + 0 + 1).\nAnswer: -236*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8*p - 9. Suppose 6*m = -8*m + 112. Let d be z(m). Which is greater: 53 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/6 - 37372369*m**2\/6 - 349173472481855*m\/6 + 349173509854225\/6.\nAnswer: -(m - 1)*(m + 18686185)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -3*l**5\/20 - l**4\/12 - l**3\/2 - 5*l - 133. Let d(s) = -4*s**3 - s**2 - 4*s. Determine -2*d(g) + 3*w(g).\nAnswer: -g**3 - g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 3872911.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12325642?\nAnswer: 2, 7, 19, 46337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n**5 - 588*n**4 + 5352*n**3 - 13230*n**2 + 10767*n - 2310 = 0.\nAnswer: 1\/3, 1, 2, 7, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.8 - -27.3. Let v = 161939\/13 - 12473. Let j = v - -16. Which is the nearest to -0.1? (a) -1 (b) j (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*o**2 - 110*o**2 + 17*o**2 + 52*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 12:14 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 339480072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30092, -60179, -90266, -120353, -150440, -180527?\nAnswer: -210614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*c + c + 347 = 0, 12 = 3*c. Suppose -5*d + 10*d - f = 0. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 329 + -155. Let r = p + -63. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8512 bigger than 9399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 153 + -82. List the prime factors of n.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 376*x**2 + 3*x + 3. Is r(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 l when three letters picked without replacement from ttlcttlstttttl.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14971, -14965, -14983, -15037, -15139?\n\"Answer: -2*d**3 + 20*d - 14989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-43 + (-18116)\/(-420))\/(1 + (-8)\/3)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3*(2 - 5). Suppose -y + x = i - 2, 0 = -2*i - 4*y + 4. Differentiate -7*t + 7*t + t**4 + 0*t**i - 2 with respect to t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150 by 11.\nAnswer: -150\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51730 rounded to the nearest one hundred?\nAnswer: 51700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 1\/3 (c) 2\/215 (d) -0.2 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*v - 280 = 106*v. Suppose 18 = 2*b + 2*k, -3*b - 6*k = -2*k - v. Solve b = 5*s - 4*g + 53, 5*s - 5*g + 50 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1822.75994 to the nearest integer.\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 - 49*f**2 + 75*f**2 - 2*f**2)*(-4 + 0*f + 2*f + 3) to t*f**2 + a + p*f + b*f**3 and give p.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11765 * -1595.\nAnswer: 18765175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33634 - -15.364965.\nAnswer: -33618.635035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 0. Let r be (9 - 10) + (6 - 0). Solve 3*v = r*m - 16, 3 = -2*m - q*v - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -9*m**5\/20 - m**3 - 5*m. What is the second derivative of j(a) wrt a?\nAnswer: -54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxxxxnnxfnxxnhxnnx. What is prob of sequence xn?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 5*d + 145, 213 = 6*u - 6*d + 9*d. Suppose -28 = -2*f - 2*f. Calculate the greatest common divisor of u and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55456+0.285564\nAnswer: -55455.714436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**3\/3 + 3*f**2 + f + 37. Give v(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -15, -0.2, -0.5, -25 in descending order.\nAnswer: -0.2, -0.5, -1, -15, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 157 - 306 - 2*s**2 - 8*s + 144 + s**2. Give g(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10 + (6 - 11))*(-232)\/(-10). Suppose -3*y + 80 = -4*y. Let p = g + y. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 7*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8100 or 7627?\nAnswer: 8100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2584.6151966 - 237.4841856. Let i = h - 2346.131. Let a = i - 1. Round a to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3\/11 + 14*i**2\/11 - 30*i\/11 + 18\/11 = 0. Calculate i.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w - 8. Let b(n) = 11*n - 15. Let l(s) = -4*b(s) + 9*h(s). Let c be l(0). Is (-233)\/(-3) - (-8)\/c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237119.2 micrograms to milligrams.\nAnswer: 237.1192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -5. Find the second derivative of a*f + 3*f**3 - f + 3*f wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1174 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0152*24\nAnswer: 0.3648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j - 7*j + 6 - 2 - j**3 - 5*j**2. Let c be g(4). Round c to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -124302300433?\nAnswer: 124302300433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-5*(-36)\/(-300))\/((-891)\/(-90)))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6*b - 20. Let k be z(-8). Let o = k + -28. Suppose o = 3*c - 0*c - 189. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from {l: 1, i: 4, g: 2, a: 2, j: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(336)\/(sqrt(7) + 1*sqrt(42)\/sqrt(6)) + (-5*(sqrt(3072)*-2 + sqrt(3072) - sqrt(3072)))**2.\nAnswer: 2*sqrt(3) + 307197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0041375073 to 6 decimal places.\nAnswer: 0.004138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(2\/(-28) - 0). Let x(o) = -o**2 - 23*o - 72. Let g be x(-17). Suppose 2*d = -m - g + 11, 2*d + 45 = -3*m. Which is smaller: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 16. Let w(i) = i + 7 + i + 7 - 3. Suppose 46 - 2 = -4*z. Let x(u) = -u - 6. What is l*w(p) + z*x(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 7*u + 19 = 0. Let i = u + 24. Solve -5*t - i = -2*b + 7, -b - 5*t - 24 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4191, -19075, -43881, -78609, -123259, -177831?\n\"Answer: -4961*i**2 - i + 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-41 - -44)*(-1)\/(-1). Suppose 3*l + 29 = 5*g + 7*l, g - i*l = 21. Solve -5*r = g + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.97 - -2.47. Suppose -5*j = -2 - 8. Which is the closest to 0.3? (a) n (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b = 16*b - 238. What is the greatest common factor of b and 448?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3861 + -3861. Which is the closest to 0? (a) g (b) 2\/45 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -130*s - 77*s - 1 + 280*s - 214*s as c + f*s and give f.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 207 = 3*w - 194, -5*w - 2*b - 65 = 0. Let l(d) = -3*d + d**3 + 17*d + 10 + 13*d**2 + 11. What is the tens digit of l(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*s - 7. Suppose s*m - 1 - 1 = -4*u, -2 = m - u. Calculate the common denominator of 95\/22 and (m\/2)\/((-12)\/69).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 9*d**2 + 6*d + 10. Calculate w(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tjjttjtttjjjtttjjj.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15370 and 1390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 1:19 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ggstssggg?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - -1*0\/1. Suppose 4*a = 20, 0 = y*p - 6*p - 2*a + 318. Let o = 20 + 0. What is the remainder when p is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - s - 590 = 4*s, -2*u = s + 574. Let i = u + 322. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3036 + 9107\/3. Let v = -1.26 + 1. Which is the closest to 0? (a) v (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*l + 55*l + 104 = 0. Let t be 112\/392 - l\/(-14). Calculate the greatest common divisor of 14 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -602*i**2 + 1 + 565*i**2 - 979*i**2 - 2*i.\nAnswer: -1016*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -41*k + 3552. Let a(w) = 92*w - 7104. Determine 4*a(r) + 9*l(r).\nAnswer: -r + 3552","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908835.\nAnswer: 3, 5, 60589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 70 in 8, 6\/5, 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-4)\/10)\/((-36)\/(-45)))\/((-3)\/24). Solve -l*n + 20 - 8 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -208*g**2 - 1064*g - 82. Calculate i(-6).\nAnswer: -1186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + t + 110 = 0, 4*n + t - 59 = -4*t. Let x = n + -11. Let y(h) = 9*h**2 - h. Calculate the smallest common multiple of y(-1) and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3385675009.\nAnswer: 3385675008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28352 and 7088.\nAnswer: 28352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 8. Let r(k) = -2*k + 16. Let c(v) = 5*p(v) - 2*r(v). Let g be c(9). Let u be (9\/((-4050)\/(-24)))\/(4\/(-6)). Is u at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 - 6*n**5 - 2*n**5 + 58*n**5 + 61*n**5 - 11*n**5 + (n**3 + 0*n**3 + n**3)*(-3*n**2 - n**2 + 3*n**2).\nAnswer: 100*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 11184 = -3992. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -135 + 135. Suppose l = z - 5*m + 3, -4*z + m - 23 = -68. Let n = 10 + 2. Is z at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1421 (base 7) to base 4.\nAnswer: -20222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -49739, -99478, -149217, -198956?\n\"Answer: -49739*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1349 - 1275. Let l be (-1074)\/15 - 3\/(-5). Let n = c + l. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 8*j + 474 = -4*j, -5*j + 790 = 5*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-10)*5)\/6*18. Let u(f) be the second derivative of -f**3\/2 + 7*f**2\/2 - f. What are the prime factors of u(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -140 - 314?\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-1)\/4*-2. Let n be k - -2 - 2 - -4. Suppose -n*o + 17 = -3*o. Calculate the remainder when o is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/1 + (-20)\/(-14). Let s = 21.1 + -20. Let u = 0.7 - s. Put -1\/4, c, u in descending order.\nAnswer: -1\/4, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 318d9 (base 14) to base 11.\nAnswer: 81a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/(-11) + 0\/(16\/4). Suppose 0 = 3*c - p + 16, -s*c - 6 = -5*p + 8. Which is smaller: -56\/11 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 5. Calculate the common denominator of 59\/14 and ((194\/3)\/x)\/12.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.38879751 to one dp.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*j**4 - 5*j**4 - 20*j**4 + 79*j**5 + (-2 + 2 + 1)*(-j**5 + 0*j**5 + 3*j**5).\nAnswer: 81*j**5 - j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t - 84*t - 99 = 783 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + -3 + -1 + -4 + sqrt(17) + -3*sqrt(17) + 1)*5.\nAnswer: -10*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4636 divided by 2.\nAnswer: -2318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -10 + 1 + 9*j + 16 - 4. Determine l(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.342628 times 13\nAnswer: -4.454164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -47220025 divided by -5\nAnswer: 9444005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2646 and 1274.\nAnswer: 34398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62318753.\nAnswer: 7, 17, 23, 22769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.112 + 403.\nAnswer: 402.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 665508 and 8742?\nAnswer: 31278876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1. Let y = 2379 - 2378.7. What is the fourth smallest value in y, -2\/9, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**3\/3 + 7*a**2\/2 - 3. Let g be d(5). Solve h - 4*p + g = -4*h, 0 = -5*h + 2*p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/156673 and -34\/128187?\nAnswer: 1410057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30495*m**2 - 30495*m**2 + 5*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + 3. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70214, 140425, 210634, 280841?\nAnswer: 351046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76*x**3 - 23*x**2 + x.\nAnswer: -456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.257 + 3.465. Let x = -11.7316 + d. Let i = x + 5. Round i to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 221*h - 2876. Give c(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.395 + 58.795. Let u = i + -58.5. What is the smallest value in 9\/4, -5, 0.5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73437002 plus -0.2?\nAnswer: 0.53437002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.277 - 212135.\nAnswer: -212136.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from {t: 1, a: 1, v: 2, b: 1, n: 1, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3187\/186795 + -12\/593. Is -1 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = -4*r - 2*h, 5*h + 106 = 2*r - 104. Solve r = 36*c - 21*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22653 != -13728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260046 - 131120 - 128926 - 31*a.\nAnswer: -31*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*259\nAnswer: -77.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -120?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 205 - 250. Let b = 44 + h. Let c = -3 + 8. Sort b, c, -0.2.\nAnswer: b, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2199\/2 + -1099. What is the nearest to 4\/27 in c, 4, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 10. What is the least common multiple of -4*2*(-18)\/8 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688770380.\nAnswer: 2, 5, 149, 231131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -54*b + 56*b. Let u = b + 25. Let c be (3\/2 - 2)*(u - 1). Solve 3*q = -2*l - c*l - 2, -2*l + 24 = -5*q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h + 3*h - 2*h**3)*(1 + 2 + 0 + (-4 - 9 - 11)*(5 - 4 + 1)) in the form o*h**2 + t + f*h + l*h**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -31, -91, -191, -343, -559, -851?\nAnswer: -1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a centimeter in micrometers?\nAnswer: 4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 + -83. Put 1, -3, h, -1 in descending order.\nAnswer: h, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/(-54) - (-10)\/(-39)) + 1089\/39. Solve z*f + 0*f = -84 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1293, 2751, 4371, 6153, 8097, 10203?\n\"Answer: 81*k**2 + 1215*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 0 - (-356 + 315) - (4 - 9).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = r + 16. Suppose -8 = u - 5*u - p, -4*u + r = 3*p. Suppose -u - 3 = -2*s. What is the least common multiple of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 577*g - 575*g = 526. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24 (b) -6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/5, -2\/7, 16.5, -0.1, -1804, -4\/9?\nAnswer: -1804","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 12, -15.3 in decreasing order.\nAnswer: 12, -3\/4, -15.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = -12\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 4*m**2 - 2*m**2 + 2*m - m**3 + m**2. Let a be t(-5). Let r = 0 - -2. Solve a = -5*y, -4*y - 9 = l - r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375121 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 39. What is the biggest value in u, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0063526815 rounded to six decimal places?\nAnswer: 0.006353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01560346 rounded to five dps?\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l. Let n(i) = -32*i + 4. Let d(p) = -31*p + 3. Let v(y) = -4*d(y) + 3*n(y). What is r(v(t))?\nAnswer: -84*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 52.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1654712 and 2346?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/9 - 76*l**2\/9 - 802*l - 2324.\nAnswer: 2*(l - 83)*(l + 3)*(l + 42)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccykkmkkckkm. What is prob of sequence kk?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 41. What is the units digit of (2 + -57 + -2)\/(m - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(j**2 + 2*j**2 - j**2) - j**2 - j + j + 2*j**2 + 0*j**2 + 2*j**2 + (-j**2 - 3*j + 3*j)*(2 - 5 + 1)*(3 + 2 - 3).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 4 - 30) + 2?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 890*h*y**4 + 19*h*y**3 - 802*h*y**2 + y**3 + 274*y**2 wrt y?\nAnswer: 21360*h*y + 114*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l**2. Let k(z) = -8*z - 14. Let a(r) = 4*r + 6. Let q(u) = 7*a(u) + 3*k(u). Give c(q(i)).\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -56 - (84 + -48)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**2 - 115 - 2*y**2 + 115.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -205.7196422 to 0 dps.\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svell. What is prob of picking 1 v, 1 l, and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7823 = -y - 4286 + 4590. What is the thousands digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10980 to the nearest 100.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**5 + 30*m**4 + 245*m**3 + 350*m**2 - 180*m - 440.\nAnswer: -5*(m - 11)*(m - 1)*(m + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -5, 31?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.222 + 0.198. Let i = c + -14.419998801. What is i rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*y - 10, -p + 3 - 2 = y. Suppose -y*o + 4*j = 56, 4*j + 5 = -o + 1. Let b = -261 - -241. Is b less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -200505.68 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3*j = -8, 11 = -t - 4*j + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 990 and 48448.85?\nAnswer: 47458.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -65 and -1\/220 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12807 + -37?\nAnswer: 127c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**5\/20 - z**4\/6 + z**3 + 2*z**2 - 1071*z. Calculate n(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = 10*a + 575. What is the highest common factor of 23 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/(4\/4*6)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7923 and 28773?\nAnswer: 546687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -35. Let o = z - 13. Let w = 56 - o. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -6163.\nAnswer: 6163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -151*b - 14644. Let g be y(-97). Let q be (-6)\/4*4\/(-14). Factor -9\/7*i**g + 0 - 9\/7*i**2 - q*i - 3\/7*i**4.\nAnswer: -3*i*(i + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2609 is divided by 2585.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 4 - 25)*(o - o - 2*o) + (-o + 5 - 3 - o)*(2 - 2 + 1) to the form k*o + u and give k.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2556002 to the nearest integer?\nAnswer: 1599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -592 (c) 2\/1687\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k = 38*k + 75. Is (k + 2)\/(4\/(-20788)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450386 is divided by 19581.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s + 2. Let i(d) = 685*d - 14. Calculate -6*c(r) - i(r).\nAnswer: -667*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6*6)\/(-18 - -1). Let f = -24\/47 - -742\/1269. Which is the smallest value? (a) -1\/6 (b) z (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -44127920?\nAnswer: -44127922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (sqrt(133) + -1*sqrt(133)*-3))\/(sqrt(448)*4 - sqrt(7)).\nAnswer: -3*sqrt(19)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-551)\/((-7818690)\/396)*((16\/3)\/2 + -1)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w = 677916 + 454491. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*o + 5 = 0, 4*b - 3*o = 2*o + 10. Let k be 129\/15 + 2\/b. Suppose -n = -3*n - 5*p + k, -n = -5*p - 27. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 24 - 58 - 30465*a**2 + 20 - 2*a.\nAnswer: -30465*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(35)\/sqrt(63))**2 - ((1*sqrt(20))\/sqrt(4) + -5).\nAnswer: -7*sqrt(5)\/3 + 86\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2164.1 and -0.3.\nAnswer: -649.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o**2 + 20*o**2 - 10*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2581 is divided by 153.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19073*t**4 + 11*t**3 + 285*t**2 - 417*t + 1.\nAnswer: 457752*t + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, y: 5, u: 7}. What is prob of picking 2 y and 1 u?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 482156976 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86471.\nAnswer: 7, 11, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0382 * -106337.9.\nAnswer: -4062.10778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 38\/2*(3 + -4). Let l = 39 + n. Suppose -p + 4*r + 7 = -0*p, 0 = p + 4*r - 15. Calculate the remainder when l is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -187, 242, 673, 1106?\n\"Answer: p**2 + 426*p - 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27793*t + 13893*t + 13896*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0296457 rounded to 3 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 339 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + -0.3. Let f = 103 + -103. Sort f, c, 4 in ascending order.\nAnswer: c, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.2, 0.1, 0.9, 9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/9 - i**3\/3 + 5*i**2 - 77*i\/9 + 4.\nAnswer: -(i - 4)*(i - 1)**2*(i + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -243\/22 - -21\/2. Let q = 89.7 - 80. Let w = q - 10.7. Is w smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2976143?\nAnswer: 353, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(48) - sqrt(3)) + sqrt(55))\/(sqrt(125)*1) + 1.\nAnswer: 4*sqrt(11)\/15 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 (base 7) in base 16?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58603868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 39*u - 67 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 44*s + 41*s + 23, 42*a + s = 45*a - 18 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59472 divided by 2.\nAnswer: -29736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.19 - -7.59. Let n(l) = l**3 + 4*l**2 + 4*l + 4. Let h be n(-4). Let x be (-6)\/h*1*6. Which is the smallest value? (a) 2 (b) x (c) 0.5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 455, 457, 459?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002366183 rounded to 6 dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 147.6\nAnswer: 147.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 767456\/(-13688) + (-144)\/(-2124).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -542, 11.59 in increasing order.\nAnswer: -542, -46, 11.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 121\/(-88)*18\/(-99)*164?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25106534412.54929103 - -25106534515. Let x = q - 102.53071. Let o = 0.08 + x. Round o to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5874750317 and 1.14505.\nAnswer: 5874750318.14505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51652 (base 11) to base 5.\nAnswer: 4402234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is af27e - 5?\nAnswer: af279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 10*v**3 + 12. Let n(o) = -o**3 - 1. Let u = 13 + -11. Let p be (-4)\/(-4) + -1*u. Suppose 4*f = -27 - 21. Calculate f*n(y) + p*q(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 48839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1549636134 divided by 3?\nAnswer: -516545378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14547 (base 13) in base 14?\nAnswer: dd25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5897818 to the nearest integer?\nAnswer: 2429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53300\/(-100040) + (1\/4)\/((-3)\/(-6)).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51591764845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2))**(19\/2)*(r**(2\/3)*r*r)**(-1\/31) assuming r is positive.\nAnswer: r**(-1775\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*x - 13 = u, -5*x = 3*u - 10. Suppose 0 = -u*k + k. Which is greater: 0.03 or k?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2471 and 706?\nAnswer: 4942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**3 + 949*m - 5530*m**4 + 1119*m - 2*m**3 - 1580*m - 4 wrt m?\nAnswer: -66360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(275) + (sqrt(275) + 2)*6 - sqrt(275)))**2 + 1 + (((sqrt(275)*-1 - sqrt(275)) + sqrt(275))*-3)**2.\nAnswer: 540*sqrt(11) + 12457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32917401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10b - 309?\nAnswer: -1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 30*h**2 - 5*h + 2. Let k be o(1). Sort 5, -1, 10, k, 3 in descending order.\nAnswer: k, 10, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k + 2\/3*k**3 - 2*k**5 + 0*k**2 - 16 - 1\/2*k**4. Find the third derivative of i(d) wrt d.\nAnswer: -240*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2940)\/63*(-84)\/560?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 578097986 to the power of 1\/4, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 578018 bigger than 578018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2050929?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 369cc (base 13) to base 3\nAnswer: 12002221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkmsk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 6*j**2 + 5*j + 3. Let h be q(-6). What is the common denominator of -3 - ((-186)\/h + -2) and -38?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sttttpttsstsps.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 482097893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 17. Let c be d(-27). Let p = c + 65. Calculate the highest common factor of 483 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2640 and 242659230?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/4 - 9283*h\/2 - 129913\/4 = 0. Calculate h.\nAnswer: -18559, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j = -2450 + 2398 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -178*g**2 - 2136*g - 5. Calculate j(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**2 + 156*p + 296 = 0. Calculate p.\nAnswer: -37, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9554917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40.7, -7, 295, 1 in ascending order.\nAnswer: -40.7, -7, 1, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 2962, 5, 4 in increasing order.\nAnswer: 4, 5, 65, 2962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -15229317 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72810 divided by -21.\nAnswer: -24270\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 17*o - 100. Let s = 5933 - 5927. Give y(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 0 + 2251026*d + 1848975*d + 1. Suppose a + a = -2. Let g be c(a). What is g rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/3)\/(14\/(-21)). Let m(i) = 2*i**2 - 3*i**2 - 2*i**t. Let k(d) = -6*d - 5. Let o(v) = v + 1. Let h(z) = -k(z) - 5*o(z). Give m(h(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73333237 is divided by 849.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1183.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 28*f - 27*f - 117, 3*w - 90 = -3*f. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8913 is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252239?\nAnswer: 13, 19403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 106 - 20 = 0. Calculate the highest common factor of 63 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 0, -4, -6, -8, -14 in ascending order.\nAnswer: -39, -14, -8, -6, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28272825149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17959 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1035 + 6272. What is the remainder when w is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*m + 54 = 53*m. Suppose 4*r - 456 = 4*p, r - 2*p - 134 = -m*p. List the prime factors of r.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 16*q + q**3 + 20 - 2*q**3 + 2*q**3 - 22*q**2 + 4*q**2. Let h(j) = 3*j**2 - 2*j - 4. Let l be h(3). Let c be v(l). Solve 0*f = c*f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 615\nAnswer: 614.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 1 - 11. Suppose 7 = 2*p - 11. Suppose 0*m - 4*m = -4*n - 4, m = -3*n + p. Solve -u - 3*c = -n*c - 1, 2*u = y*c - 19 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**3 + 2\/3*m**5 + 0 + 8\/3*m**4 - 8\/3*m**2 + 10\/3*m = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518640 is divided by 1011.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(13) + sqrt(13) + -2) + 5.\nAnswer: -1 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-203)\/((-1015)\/(-35)))\/(-4)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(700)*-3.\nAnswer: -30*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((1*(sqrt(2) + 3) + sqrt(2) - (sqrt(8)\/sqrt(4) + 1)) + 1 + (sqrt(162) - -4*(sqrt(162) + 1)))**2)*1.\nAnswer: 644*sqrt(2) + 4283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 15 - (0 + -13)) + (-170 - -157)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**2 - 165*a**2 - 311*a**2 - 396*a**2 - 443*a**2 - 684*a**2.\nAnswer: -2009*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 765 take away 76?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.152008 and -0.3?\nAnswer: 0.0456024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4565412 divided by 2.\nAnswer: 2282706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -842.49692 rounded to the nearest ten?\nAnswer: -840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 311*x + 8. Let u(g) = g**2 + 2*g + 2. Let f be u(0). Let m be c(f). Let y = 901 - m. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**4\/18 + 2*b**3\/9 - 21*b**2 - 13387*b. Let q(a) = 0. Calculate a.\nAnswer: -9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 2*l - 7. Let v be 1 + (-1 - 0) - (6 - 2). Let t be (469\/70*5)\/(2\/v). Let p = -72 - t. Calculate n(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*d**2 + 20*d**2 - 2*d**4 + (0 + 0 - d**2)*(2*d**2 + d**2 - d**2) - d**4 + 0*d + 0*d - d**4 + 0*d**4 + 3*d**4.\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.64 and -0.13.\nAnswer: -0.2132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33094049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 861\/227 or 4?\nAnswer: 861\/227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 16*k - 6*k)*(31*k + 30*k - 63*k).\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5608*o = -5379*o - 6183 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71864 and 536.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 64 = 23*n. Suppose 3*a = -12, -n*a + 5*a - 792 = -4*o. What is the remainder when o is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117321?\nAnswer: 3, 39107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1637862 + 1664187 = -585*h for h.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 15 = -9. Suppose 6*c - s = i*c + 206, -505 = -5*c + 5*s. Let k = c + -60. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11300013113 (base 5) to base 6.\nAnswer: 1140151334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 3*r - 24. Let u(m) = 2*m**2 - 2 - 5 - m**3 + 2*m + 4*m**2. What is the units digit of u(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171973, 344288, 516603?\nAnswer: 688918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*j - 53*j + 33*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2)*f*f)**(1\/16))**(-2)\/(((f\/(f\/f**(-2\/5)))\/f**(-5))\/((f*f**(4\/5))\/(f\/(f\/f**(2\/3))))) assuming f is positive.\nAnswer: f**(-431\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8459020 and 574?\nAnswer: 2427738740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/639)\/((-440)\/1980).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47b4 + -5a62?\nAnswer: -a546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119067 and 258?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 745 - 1499 - 30*z + 175*z + 754.\nAnswer: 5*z*(z + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 6. Let v be m(-11). Suppose -v*i + 8 = -i. Let c be 7\/10*(-1 - -2)*i. Is -2 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3885 = 5*v - a, 19*a - 18*a - 2339 = -3*v. Let r = -6 + 7. What is the hundreds digit of (58\/(-87))\/(v\/(-774) + r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49884805 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -173, -341, -505, -665, -821, -973, -1121?\n\"Answer: 2*p**2 - 174*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24699 is divided by 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.1 (b) 3\/8 (c) -0.3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*-3*2*sqrt(360))\/(sqrt(56)\/(2*sqrt(7)) + sqrt(24)\/sqrt(3)*1) + -5)**2.\nAnswer: 144*sqrt(5) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 1. Let p(h) = -2*h**2 + 12*h - 2. What is -4*a(t) + p(t)?\nAnswer: 2*t**2 + 12*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -2\/3*r**3 + 0*r + 0*r**2 - 2\/3*r**6 + 7\/4*r**4 - 4 + r**5. Determine z, given that g(z) = 0.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -38. Let t be (-6)\/(-4)*k\/3. Suppose 2*o + t = -l, 3*l + 6 + 7 = -2*o. Solve 2*w + 11 - o = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 26*x - 18. Let m(c) = 7*c - 5. Let t(f) = 6*a(f) - 22*m(f). Let b be (4\/(-6))\/((-2)\/6). Calculate t(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -185, -350, -503, -638, -749, -830?\n\"Answer: k**3 - 172*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 and -35\/23968076.\nAnswer: 23968076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -9 (b) 1 (c) 0.2 (d) -2\/51 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 776160 and 1244160.\nAnswer: 670602240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, v: 1, k: 1, e: 1, j: 2, a: 1}. Give prob of picking 1 b, 1 k, and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -359 + 429.2. Let h = o + -70.18284. Round h to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 103 = -2*c - 5*w, 5*c = w - 299. Calculate the lowest common multiple of (2\/3)\/((-2)\/c) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1103\/72 - 71\/18. Suppose 431 - 7 = 4*k. Suppose -5*b + k = -49. What is the common denominator of b and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -303?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 4:52 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, d: 7}. What is prob of picking 1 i and 3 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/7 at least -2988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -135*x + 254*x + 1988 - 2000 to the form s*x + m and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + o + 12 = 0, 7*o - 16 = -4*t + 4*o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, x: 2}. What is prob of sequence xex?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/5 - 54*m\/5 + 108\/5.\nAnswer: 2*(m - 3)**2*(m + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + (6 + -1 - 7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (1 + 2))*-5. Let u be 4\/(-10) - (-17)\/5. Suppose u*y - y - 54 = 3*p, y - 28 = p. Solve -4*j - t*h - y = 0, -3*j - 33 = 2*j + 4*h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, j: 1, z: 2}. What is prob of sequence zyz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2059882, 8239526, 18538934, 32958106?\n\"Answer: 2059882*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4237643 months in centuries?\nAnswer: 0.00118647025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 2*q + 49. Determine m(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9846 - 2.\nAnswer: -9848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 0.8. Is x at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 + (-123)\/(-12) + -4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149, -153, -159, -167?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 18, -16820.\nAnswer: -16820, -50, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5698043 a multiple of 846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/60*(-7 - 2 - (-4785)\/550)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (820\/275)\/4 + 3\/(-15)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 5. Suppose 0 = -8*z + 7*z + 7. Let s = 442 + -438. Solve 0 = -s*w - z - v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 260?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 4:59 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 19*o + 420. Let z be w(-13). Solve 0 = 13*x - z*x - 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**3 - 2*q**3 + 2*q**3 + (-q - 5*q + 5*q)*(-6*q**2 - 4*q + 4*q) + (q + q + 0*q)*(-18 - 10*q**2 + 18).\nAnswer: -17*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 65841.228 seconds?\nAnswer: 0.76205125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3191 greater than 732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 59555 and -9.\nAnswer: 59546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from {w: 2, f: 16}.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 18*m + m**2 - 23*m + 2 - 4. Give j(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microsecond in nanoseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from {l: 8, q: 2, c: 2, o: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 190*g + 2789. What are the prime factors of p(22)?\nAnswer: 3, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = d + 3*t + 41, 0 = -2*d + 2*t - 240. Let u = 196 + d. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 22984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*z)*(-4*z + 4*z + 2*z) + (0*z + 0*z + 3*z)*(-7*z + z - 10*z).\nAnswer: -44*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 15*m**2 + 16*m + 2. Let l be g(16). Suppose 3*x - y - 1610 = 0, 2*y - 1060 = -l*x - 0*y. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*k - 39 + 29. Solve -k + 0 = -s + n, -s - 3 = -3*n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3287 - -275289?\nAnswer: 272002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from qsllmqqssuus?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 15. Let p be (-79 + j)*(-22)\/55. Let f = 69 - p. List the prime factors of f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30323 (base 7) to base 10\nAnswer: 7367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6946 and 484408.\nAnswer: 11141384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 143*l - 203. Let g be a(3). Sort 4, g, -2 in decreasing order.\nAnswer: g, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 26*d**2 + 2*d**3 + 2*d**3 - 7*d**3 + 7*d**3.\nAnswer: 4*d**3 - 26*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150\/(-325))\/(137\/1781).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j = 26*j + 21*j - 1734. What is the third smallest value in j, 0.3, 2\/11, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 9*z**2 - 20*z**2 + 3*z.\nAnswer: -29*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-136)\/3 + 2\/(-3). Let y = c + 44. What is the closest to -1 in y, 3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, m: 2}. Give prob of picking 2 k.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.38406835 + 2.384. What is u rounded to six dps?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + j = 5*q + 35, 3*j + q = -11. Suppose -12 = 6*a - 2*a. Sort a, j, 0 in decreasing order.\nAnswer: 0, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 40 - 15 + 35 + 11 + 32 + 4*y. What is the remainder when 427 is divided by b(-16)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 15*a**2 - 16*a - 14. Calculate the smallest common multiple of q(-14) and 63\/6 - 2\/4.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*i + i. Let p(l) be the first derivative of -3 - 2*l**2 + 2*l**2 - 3*l + l**i. What is the derivative of p(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4211 - 1?\nAnswer: -4212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 13*f + 32. Let t be w(10). Factor 4\/3 - 7\/6*o**3 + 3*o**t - 10\/3*o + 1\/6*o**4.\nAnswer: (o - 2)**3*(o - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 16*f**2 - 13*f - 27. Let c be r(15). Solve -j + 2*i - 3 = i, 0 = -c*j - 2*i - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - 4*q**2 + 4*q**2)*(-2*q**2 - q**2 + 4*q**2) - 3*q**4 - 3*q**4 + 4*q**4 + q**4 + 0*q + 0*q.\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1511\/2820 - 2\/141. Let c be (((-59313)\/30)\/17)\/(18\/1245). Let r = c - -8037. Find the common denominator of r and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2924 a multiple of 731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/99897803 and -37\/59828.\nAnswer: 399591212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + -2 - (-5 - -2)) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 = 2*q - 7*q. Calculate the common denominator of 51\/5 and 18\/(-44)*q\/(-33).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -231 + 228.98. Let w = 0.02 + c. Suppose 6*j - j - 2*b - 19 = 0, 2*b - 11 = -j. Sort j, w, -1 in increasing order.\nAnswer: w, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -31?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)*f*f)**45\/((f\/(f\/f**3))\/(f*f*(f*f**(-5\/2))\/f*f)) assuming f is positive.\nAnswer: f**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**7\/1260 - h**6\/120 + h**5\/15 + h**4\/24 - 11*h**2. Let o(l) be the second derivative of g(l). Factor o(j).\nAnswer: -2*(j - 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 16101.\nAnswer: -2\/16101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 656 at most as big as 656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 0 + 1\/6*c**3 + 0*c + 1\/24*c**4 - 13\/120*c**6 - 1\/60*c**5 + 4*c**2. Is n(-1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6773694 * -0.2\nAnswer: -1354738.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15224222\/145 + -104994. Let q = 1\/29 - a. Let c = 7 - 4. What is the smallest value in c, 0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 12) to base 8\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1 (b) 4 (c) 2\/3 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*s + 14025 + 9167. Is s smaller than 893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4793, 18699, 32605?\n\"Answer: 13906*v - 9113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/87648 and -13\/3984?\nAnswer: 87648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a meter in millimeters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 513, 1024, 1535, 2046, 2557, 3068?\n\"Answer: 511*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 10*q**2 + 14*q - 46. Let d be k(9). Let u be (1 - -1) + d + 556\/139. Let s be (-1)\/3 - 3\/(-9). Solve 10 = 3*t - u*r, s = -r - 4*r - 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -25*a**2 + 23*a. Let j(r) = 9*r**2 - 8*r. Let n(q) = 11*j(q) + 4*x(q). Give n(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(1 - 5\/3). Put 0, -5, z in decreasing order.\nAnswer: z, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9551, -19766, -29981?\n\"Answer: -10215*y + 664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 + 96. Let d = -0.4 + -3.6. Let i = -3 - -3. What is the closest to i in d, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 2*w + 2*w**5 + (-w**2 + w**2 + w**2)*(3*w**3 - 6*w**3 + 4*w**3) + 0*w**4 + 0*w**4 - 2*w**5 + 24*w**2 - 24*w**2 + 26*w**5.\nAnswer: 27*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, s: 2, g: 1, x: 1, e: 2, r: 2}. What is prob of sequence er?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 7:13 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1196*x + 3579. What is z(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(245) + 1*(sqrt(245) - (sqrt(245) + sqrt(245)*-1) - sqrt(245)))*2 + 5*(sqrt(245) + 0) + 1)**2.\nAnswer: 98*sqrt(5) + 12010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 0 + 14 = 0. Suppose -l*y - 49 = -9*y. Let z be 1 - (y\/21 + 2\/3). Is z at least -1\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16377 - 16381. Sort 5, s, 855, -1 in increasing order.\nAnswer: s, -1, 5, 855","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 932 - 925. Solve -5*u + l = -4*d, -14*u + d + 4 = -12*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 21288 = 3*j, -5*j + 10670 = -2*k - 24798. Let q be j\/(-2)*(-27)\/306. Let l = q - 313. Which is the nearest to 3? (a) 5 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -277, 2\/9, 92?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7))**(2\/19)\/(d**4\/(d*d\/d**(-3\/2))) assuming d is positive.\nAnswer: d**(-125\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1100) + 2 + 0 + 1*(sqrt(1100) + sqrt(1100) + sqrt(1100)*3 + sqrt(1100) + sqrt(1100)))*-3)**2.\nAnswer: 25920*sqrt(11) + 5702724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1305766 is divided by 849.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2420 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2439 or 8429?\nAnswer: 8429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431640?\nAnswer: 2, 3, 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) + 2 + -2. Let d be 50\/(-70) + (-4)\/14. Let f = 1.1 - 1. Which is the nearest to 1? (a) f (b) d (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 664 and 284632979.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3 = -2*r. Let w be -2*((-3)\/(-2) + r). Is 17 a factor of (-370)\/15*w\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 1456?\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -s + 89277, 69541 = 2*a - 2*s + 24905. Let u(k) = -k - a + 22319. Let v(p) = -3*p - 3 - 5*p + 4. Give v(u(m)).\nAnswer: 8*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43.9958 - 44. What is x rounded to four dps?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111 - 100101?\nAnswer: -1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.93472 litres to millilitres.\nAnswer: 74934.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/(-33)*(-3)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 + 0.816.\nAnswer: 0.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 7*z + 9. Let r be m(11). Let u(x) = x + 6. Let g be u(-4). Let s be g\/(-7) - (-4)\/r. Which is the closest to s? (a) -0.2 (b) 0.4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/5 - 94*k**2\/5 + 96*k\/5.\nAnswer: -2*k*(k - 1)*(k + 48)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 855834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {x: 8, y: 2, s: 1, a: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 2 - 3)*(-3 + 4 + 0) - 5 - 1 + 4)*(-1 - 22 - 3)*(0 - 1 + 0)*(-l - 32*l - 39*l) to r + z*l and give z.\nAnswer: 7488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*3\/((-18)\/(-4)). Differentiate -11*q**4 - 1 + 15*q**p + 2 wrt q.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6018483.8999955 - 6018470.9. Let j = d + -13. What is j rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 27. Suppose 0 = 5*v - 9 - 86. Suppose h*f + w = 13, 5*f = -3*w + v + 13. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270, 1078, 2428, 4320, 6754, 9730, 13248?\nAnswer: 17308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 - 5*c. Suppose 0 = -2*j - 3*y - 9, 5*y + 8 + 32 = 5*j. Calculate h(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 320000 to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 48*r + 11. Let y(n) = 4*n**2 - 49*n - 2. Give w(y(o)).\nAnswer: 192*o**2 - 2352*o - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 59031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, 121, 4\/3 in decreasing order.\nAnswer: 121, 4\/3, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -19*g - 3. Let f be ((-24)\/(-32))\/(1\/(-8)). Let b(u) = 10*u + 1. Let w(z) = f*n(z) - 13*b(z). Is w(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -111*c + 92*c + 38. Suppose d + 3*q = 5*q + 25, -3*q = 3*d - 102. Does 9 divide (4 - c)*d\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -2865\/232?\nAnswer: -2865\/232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 39) + 8 + 9 - -46 - 9?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1121*b + 2. Let k(h) be the third derivative of -h**5\/20 - 8014*h**2. Give c(k(v)).\nAnswer: 3363*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 846540 is divided by 597?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 776*x = 771*x. Factor 1\/3*c**2 - 1\/3*c**4 + x + 0*c**3 + 0*c.\nAnswer: -c**2*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 2*y - 0*y - 9*s - 52 + 25, 1 = -4*y + 3*s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (19 + 2 + -7 + (-55 - -60)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/7248 and -5\/176?\nAnswer: 79728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 4*s**2 - 16*s - 69. Give u(-10).\nAnswer: 691","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**5\/105 - 22*k**4\/21 - 192*k**3\/7 - 3426*k**2. Factor d(o).\nAnswer: -4*(o + 8)*(o + 36)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, m: 1}. Give prob of sequence muu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -30*y - 99. Let p be n(-3). Let r = -3408 + -114. Is (-12)\/(-8)*r\/p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00129714948 to 7 dps.\nAnswer: -0.0012971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 6062 = 10*b + 6945, 3*j = -2*b - 179 for b.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wflffffotffwnf. Give prob of sequence nf.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35*(-8)\/(-10)*((-701)\/(-1402))\/((-4)\/(-10)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(40)*5)**2.\nAnswer: 275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0048271 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50641 by -2.\nAnswer: -50641\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -211 - -215. Let q(t) = 9*t**2 - 3*t**2 + 5*t**2 - 12*t**2 + 3 - h*t + 3. Calculate q(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -4 (b) 0.1 (c) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*h**4 - 1090528*h**2 + 491408168*h wrt h?\nAnswer: 288*h**2 - 2181056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105545.\nAnswer: 5, 11, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1545 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6*(-40308)\/8. Suppose -i - 28718 = i. Let p = i + n. What is p rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41.28 + -0.28. Let p = d + -42. Put p, -4, 4\/3 in descending order.\nAnswer: 4\/3, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 + 1198*h**2 - 100591*h + 298180\/3.\nAnswer: -(h - 3508)*(h - 85)*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-20))\/((-6)\/15). Let i = j - -1. What is the least common multiple of 11 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3072) - (sqrt(3072) + 1)) + 2 - -3*sqrt(3072)*6)**2*-3*-2*5.\nAnswer: 34560*sqrt(3) + 29859870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 5*z - 50, 4*z - 24*k + 25*k + 4 = -11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, u: 3, h: 1}. What is prob of sequence wu?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13453943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3. Let u(o) = -2*o**2 - 3. Let z(c) = r(c) - u(c). Let b(d) = -910*d**2. What is z(b(l))?\nAnswer: 1656200*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnntknkw. Give prob of sequence tnkn.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2109829\/277218 + -6\/15401. Let d(a) = -5*a + 26. Let t be d(5). What is the common denominator of n and -2*(612\/112 + -4*t)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/320 and 105\/1088.\nAnswer: 5440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggggggg. Give prob of sequence gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*z + z**3 + 10*z - 25*z - 30 to the form o*z**2 + n + a*z + x*z**3 and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, p: 7}. Give prob of picking 1 p and 1 s.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2 - 1. Suppose -5*k + 60 = d, -5*d + 47 = 2*k - 0*k. Let y(z) = -14*z**2 + 3. Let w(j) = k*i(j) + 4*y(j). Factor w(h).\nAnswer: -(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 3*c - 29, 106 = 5*n - 10*c + 13*c - c for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 20 - (-31 + -20) - (1 + 0 - -1).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 27792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 259 take away -16?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15584469?\nAnswer: 3, 41, 126703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 1:27 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 5*s**2 + 3*s + 5. Let l be 1\/(-5) + 18\/15. Suppose 4 = 3*b - y, 5*b - 4*y + 4 + l = 0. Let j be ((-24)\/28)\/(b\/(-21)). What is u(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + n**2 - n**2)*(2*n + 5*n - 3*n)*(-3*n**2 - 2*n**2 + 0*n**2).\nAnswer: -20*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y - 9. Let w be d(6). Suppose 3*b - 5*m - 21 = 0, b + 2*m = -3*b + 54. Suppose 7*n - b = 4*n. Is w equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 = -2*w, -5*h + 3 = 5*w - 22. Suppose -3*y = -2*z + 4, -2*y = 4*z + z - 29. Solve -y*r = -w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 + 14)*((-18 - 2*n + 18)*(-2 + 4 - 1) + 7*n + 13 - 13) as v*n + r and give v.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 5. Let t be s(-5). Let z(r) = -2*r - 3. Let p be z(4). Let q = p + 13. Solve t*v + q*v = 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2. Let y be (25 - 5)\/5 + 2. Let l(b) = -3*b**2. Let f(s) = y*l(s) - 5*i(s). Let p(n) = -27*n**2. What is f(p(o))?\nAnswer: 1458*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + -4 + 2\/1. Suppose 3*f - 10 = j*f. What is the smallest common multiple of -8*f\/(10\/11) and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 5. Let w = 304 + -303.5. Which is the second smallest value? (a) -0.4 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.2 (c) -2\/7 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from {e: 1, f: 1, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -905*w + 1508*w = -6633 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 5*f**2 + 3*f + 1. Let s = 54 - 57. Let o be (-2 - s\/2)*-10. Suppose -2*d - 21 = -o*p, 4*p - 9*d = -4*d + 10. What is i(p)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-1)*n**5*((n*n**1)\/n)**(-1)*(n\/(n**(-1\/3)\/n))**(-5\/7)\/(n**(2\/11))**(-22\/9) assuming n is positive.\nAnswer: n**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 33*n**4 - 4*n**3 - 33*n**2 - 4*n - 4. Let r(l) = l**3 + l + 1. Let v(g) = j(g) + 4*r(g). Find the third derivative of v(b) wrt b.\nAnswer: 792*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/6890 and 77\/55809?\nAnswer: 558090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1360 - 383 = -40*l - 503. Solve -9*c + 112 = l for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + 2 + -2 - 2. List the prime factors of (-22)\/(-2) + s + -4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23, 44, 65, 86, 107?\n\"Answer: 21*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + 12. Let c = y + 6. Suppose 4*d - 153 = c. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1817 = 2*r + 3*x, 5*r - x = r - 3613. Let p = r - -1391. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.63 and -784?\nAnswer: -4413.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-49)*10\/((-1620)\/(-42)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*w + 193, -3*w + 2*s - 38 + 335 = 0. What is the remainder when w is divided by 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1053*v + 2173*v - 892*v = 2736 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**3 + 15*x**2 + 9*x - 5. Let s = 923 + -932. Let t(g) = -2*g**3 + 7*g**2 + 4*g - 2. Determine s*t(j) + 4*i(j).\nAnswer: 2*j**3 - 3*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r - 4*r + 1 + 6*r + r as t + d*r and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8120+-2637105\nAnswer: -2628985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -11 + 131. Let d = -62 + m. What are the prime factors of -3*(-7)\/(-3)*50\/d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d + 0*d**2 - 25*d + 43 + d**2 - 8. Let b be h(14). Let q(g) = 6*g - 24. Let c be q(b). Round c to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 1:22 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/8 - 293*m\/4 = 0. Calculate m.\nAnswer: -586, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {v: 1, g: 17}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975280.\nAnswer: 2, 5, 73, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**5\/8 - 9843*b**4\/4 - 24127463*b**3\/2 + 461191399*b**2 - 3892334160*b - 9725904400 = 0?\nAnswer: -9862, -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -49812, -100043, -150274?\n\"Answer: -50231*f + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 111*o**2 + 117*o - 419. Calculate n(112).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 31 - -39558?\nAnswer: 39589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) -2 (c) 0.1 (d) -5 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(17) - sqrt(102)\/sqrt(6) - sqrt(17)) + -3)*3)**2 + -5 + 5*sqrt(272)*3.\nAnswer: 1410*sqrt(17) + 5845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 169 + 167. Let h = n - -388. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-117)\/6*(-16)\/(-168)*-7\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 648 divide 11021184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -20. Let c = -129986 + 1169804\/9. Is h < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 10 - 3*y + 6*y**2 - 5*y**2 - 4*y. Suppose -11*i - 32 = -109. What is p(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*z - 18 = -106*z. Solve 0 = -z*a - 10 + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 11*t - 249. Determine u(-10).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1595, -1562, -1337, -908, -263, 610, 1723?\nAnswer: 3088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 357189*m**3 - 21*m**2 + 46405*m wrt m.\nAnswer: 2143134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5 - 32. Let v = p + -24. Let z = -30 - -64. Calculate the lowest common multiple of v and z.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t**2 - 15*t - 7. Let w(p) = 23*p**2 - 44*p - 20. Determine -6*w(k) + 17*x(k).\nAnswer: -2*k**2 + 9*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(340)\/(2*sqrt(1210))*1)\/((sqrt(128) + (sqrt(128) - 2*-1*sqrt(128)))*-5).\nAnswer: -sqrt(17)\/3520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 209133 (base 12) in base 8?\nAnswer: 1752567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -u - 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2458, -4946, -7414, -9856, -12266, -14638, -16966?\nAnswer: -19244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 101*a - 1 + 96*a - 292*a + 96*a. Let x(c) = 8*c - 3. Suppose 4*i = -13 - 3. Determine i*g(u) + x(u).\nAnswer: 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*d + 2469 - 102703. Let a = -30378\/7 + d. Solve 1024\/7 + a*k + 4\/7*k**2 = 0 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.5, 24\/17, 5 in descending order.\nAnswer: 5, 24\/17, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a. Let t(g) be the third derivative of 0*g**3 + 0 + 0*g + 7*g**2 + 1\/8*g**4. What is t(s(b))?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-90)\/(-12)*(-34)\/3. Let x(u) = -u**2 + 9*u + 10. Let g be x(8). Let p = -67 - g. Is p greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**3 + 72*g**2 + 4*g + 4. Let p(b) = 14*b**3 + 214*b**2 + 10*b + 11. Calculate -8*c(h) + 3*p(h).\nAnswer: 2*h**3 + 66*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70665 by -5.\nAnswer: 14133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v**3 - 5*v**2 - 4*v - 5. Let w(b) = -5*b**3 - 6*b**2 - 5*b - 6. Let r = -13 + 8. Give r*w(p) + 6*t(p).\nAnswer: p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -300497\/26 - -11560. Find the common denominator of ((-3267)\/88)\/(75\/(-10)) and y.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((x\/((x*x**(-7)*x)\/x))\/x))*x**8*(x**0)**(-1\/22))**(21\/8) assuming x is positive.\nAnswer: x**(147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**3\/3 + 7*u. Let j(a) = a**2. Let l(t) = -t**2. Let z(k) = 4*j(k) + 2*l(k). What is z(o(p))?\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4)\/(5\/(-50)). Let m(o) = o**2 + 14*o - 64. Let x be m(-20). Let z = x - 57. Put 14, g, z in decreasing order.\nAnswer: 14, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -143\/5 (c) -257 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.11 - -0.11. Suppose 5*d + 34 = -3*l, 8 = -4*l + 30*d - 32*d. Sort -3, l, m in descending order.\nAnswer: l, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 25, 9, -17, -53, -99, -155, -221?\n\"Answer: -5*t**2 - t + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*l + 477*l - 1 - 112*l - 14 - 256*l + 118*l**2.\nAnswer: 118*l**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w - 6. Let a(x) = 2*x + 1. Give 3*a(v) + n(v).\nAnswer: 3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065112487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*w + 18. Suppose 0 = 2*k + k - w. Solve u = -u + k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 - -86. Suppose 5*n + 500 = 5*v, -4 = 7*n - l*n. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37389*j + 9*j**3 + 12508*j + 12424*j + 12457*j.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 836*o - 16101. What is q(19)?\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -22*b**3 - 15*b**2 - 16*b + 125. What are the prime factors of d(-6)?\nAnswer: 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llbbmbml. Give prob of picking 1 l and 2 b.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 67 divided by -5\nAnswer: -67\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5042 + 11?\nAnswer: -5031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10 = -8. Factor -15*h**2 - 5*h**3 - v*h**3 - 4 + 2*h**4 + 3*h - 16*h - 3*h**4.\nAnswer: -(h + 1)**3*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a + 26. Let n(c) = 6*c - 26. Determine -5*f(t) - 4*n(t).\nAnswer: t - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56944 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**4\/12 - 4*q**3\/3 - 3*q**2 - 70*q + 4. What is z(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641211055 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 13, v: 5}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 5*x - n + 27, -30 = -3*x + 4*n. Let a(s) = s**2 - 5*s - 7. Let g be a(x). Let z = g - -12. Find the common denominator of 31\/5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33855737239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341 = 2*o - 175. Let s = 109 - 105. Suppose s*y + o = 5*r, 5*y - 198 = -4*r + 4*y. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*l - 68 = 164*l. What is the closest to 1 in -3, -2\/5, l, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 26*d**2 + 42*d - 140. Calculate v(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -848167 smaller than -848171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 17?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 25 = i. Suppose -252 = -2*n + 2*h + 120, 0 = -n - i*h + 168. What are the prime factors of n?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -200192400691.709978 - -200192128802. Let f = v - -271890. Let q = f + -0.29. Round q to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-5*(sqrt(405) + 1) + sqrt(405)*-1*-3 - -1*((0 + sqrt(405))*-6 - sqrt(405))) + -1)**2.\nAnswer: 1782*sqrt(5) + 32926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v\/(v**(-2\/7)*v))\/v)\/(v**(3\/4)\/v))**(-26)*(((v\/(v\/v**(1\/3)*v))\/v)\/v)**47\/(v\/(v*v*v\/v**(-1\/3)*v))**7 assuming v is positive.\nAnswer: v**(-1987\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (19 - 21)\/(61\/(-30) - -2). What is the greatest common divisor of 45 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -4 (c) 0.4 (d) 5 (e) 1\/3 (f) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j + 0*j)*(-4*j**4 + 3*j**4 + 2*j**4) + j**5 - 5*j + 5*j + (-6*j**2 + 2*j**2 + j**2)*(4*j - 3*j**3 - 4*j) + 3*j**5 - 2*j**5 - 4*j**5.\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2508*282\/(-12408))\/((1\/(-2))\/((-1)\/2))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i**2 - 244*i - 66. Let c = 108 + -76. What is the remainder when d(-48) is divided by c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11453, 11452, 11451, 11450, 11449, 11448?\nAnswer: 11447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 324000 = -6*h. Round h to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 6011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**4 + 4*k**4 + 0*k**4 + (0*k**3 - k**3 - k**3)*(11*k + 8*k + 20*k) - 3*k**4 + 3*k**4 - k**4 + k**4 + 1 - 1.\nAnswer: -77*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*a - 10, -3*k - 10 = 5*a + 2*k. Solve 1 = -3*o - 2*y + 3*y, -19 = -a*o - 4*y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1784784 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 12:42 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/(6\/(-78) - 496\/312).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -155667 - 4?\nAnswer: -155671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 4*w - 112. Let s = w - 49. Suppose 0 = -3*h - 3*c + 15, 9*h - 11*h + 16 = 5*c. Solve q = -s, h*u - 3*q = -u + 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3777 - -6.131262?\nAnswer: -3770.868738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 26 (b) 2\/25 (c) 0.45 (d) -4 (e) 218\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12588 (base 16) to base 13.\nAnswer: 28284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*s - 49, 2*s + 19 = 2*k + 59. Let z = 17 + k. What is the remainder when 7 is divided by (z - 9)\/3 + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33\/(-42) + (-14)\/(-49). Which is the biggest value? (a) -1 (b) 0.063 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 64316.6 centuries?\nAnswer: 643166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37164 divided by -489?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1125*p + 1554*p + 342*p to n + q*p and give q.\nAnswer: 3021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 5:01 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x + 2*x**2 + 6 + 0 - x**2. Let h = -1229 - -1227. Let f be (2 - (1 + 3))*(0 - h). Determine i(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let s(x) be the second derivative of -x**3\/6 - 2*x**2 + 3*x. Let k be s(0). Let v be y(k). Which is the closest to -1? (a) v (b) -1\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2289*z - 2280*z = 18. Let h be (3\/(-2))\/(6\/(-8)). Suppose -3*y + 3*u = -39, -y - h*u = -6*u + 2. What is the greatest common divisor of z and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 0.3 (c) -17 (d) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*w - 143 = 77*w. Solve 23*c = w*c - 20 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b. Let u(d) = d**2 + 76*d - 5756. Determine m(u(y)).\nAnswer: y**2 + 76*y - 5756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**4\/4 + 7*p**3\/3 + 3*p**2\/2 - 3*p - 54. Let j be k(-6). Solve 16*f = j*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 412425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -5. Let g be 2\/2 + 2\/(-3). Let l be (0 + 3\/(-6))*-10. What is the nearest to g in 0, l, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-405)\/(-243)*(-4 + 1 + (-219)\/(-75)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 13)*(-10)\/8. Let a = 70 + t. Does 21 divide a - -6*3\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78602.26 millilitres to litres.\nAnswer: 78.60226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -19*i**4\/4 + i**3\/3 + 2*i**2 + 3*i - 2. Let n(d) = 210*d + 1258. Let k be n(-6). What is the tens digit of a(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 38, 2 in decreasing order.\nAnswer: 38, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(-5) + 1*(2 - 3 - 4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.1, -4\/11, -7, -1944, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - f + 290 = 314, -8*p - 4*f - 96 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7983.28 and -8454969.\nAnswer: -8446985.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 73*d = -211260. Does 69 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -645731497, -645731495, -645731493?\nAnswer: -645731491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0087 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**3 - 2*p - 8 - 12*p**2 - p**3 - 4*p - 2*p. Let d(z) = z**3 + z**2 + 1. Let v(b) = 4*d(b) + k(b). Give v(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2307126 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 391\nAnswer: 2737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.5, -249, 2\/11 in decreasing order.\nAnswer: 1, 2\/11, -0.5, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -184 or -16\/89?\nAnswer: -16\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l - 108. Suppose 43*c = 41*c + 6. Let t be (22 - 16\/4)*c. Calculate the highest common factor of t and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 837730793 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6993 + 54\/(18\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5182.944ng to milligrams.\nAnswer: 0.005182944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*y = 30 + 312, -5*v + 3*y = -339. Calculate the lowest common multiple of 42 and v.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**5 + 1103*d**4 + 160257*d**3 + 6646933*d**2 + 30261266*d + 35199240 = 0.\nAnswer: -940, -79, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 11. Suppose -5*t = -1 - b. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 288*y**3 - 21*y**2 + 42*y - 21. Let w(a) = a**3 + a**2 - 2*a + 1. Calculate 2*n(v) + 42*w(v).\nAnswer: 618*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 + 72*d**3 + 2844*d**2 - 28512*d.\nAnswer: -4*d*(d - 33)*(d - 9)*(d + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61\/17 + -683\/34. What is the common denominator of 1\/433 and c?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/9 and 62\/483.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -2. Suppose -c*h = -h - 440. Calculate the common denominator of -103\/22 and (-666)\/h*14\/(-21).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from ninmnniomlomioonnnl.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18944040 divided by -6?\nAnswer: -3157340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m + 13. Let c(b) = b - 1. Let y(s) = -5*c(s) - f(s). Let w(k) = k**3 - 3*k**2 - 4*k + 6. Let v be w(4). Determine y(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*n - 20*n**2 + 2*n**2 + 10*n - 8*n)*(-n - n - n).\nAnswer: 54*n**3 + 42*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4192, 8553, 13084, 17785, 22656?\nAnswer: 27697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22003252, 44006555, 66009858, 88013161?\n\"Answer: 22003303*y - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-513)\/27*3\/(((-18)\/(-27))\/((-2)\/3)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 178*t + 529. Let h be m(-3). Which is the biggest value? (a) -4\/5 (b) -10 (c) h (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.45 - 11.45. Which is the third biggest value? (a) 0 (b) 36 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58586 + 87341. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwff when four letters picked without replacement from ffffflffffffw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*n - 38*n = -271780. What is the highest common divisor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 less than or equal to -323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -29*w**2 - 5*w - 5. Let h(o) = 14*o**2 + 2*o + 2. What is -9*h(z) - 4*x(z)?\nAnswer: -10*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43830, 43827, 43824?\nAnswer: 43821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 343 in -1\/6, 0.06, -3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 3*t - 2. What is w(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14754, 59102, 133034, 236550, 369650, 532334, 724602?\n\"Answer: 14792*i**2 - 28*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -3, 15.\nAnswer: -3, -2, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*f + f**3 + 0*f**3 + 55*f.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1137 (base 14) in base 13?\nAnswer: -148c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 8:31 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 199, 184, 171, 160, 151?\n\"Answer: c**2 - 18*c + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7794882*k**2*u - 2*k**2 + 518*k*u + 32867*u wrt k?\nAnswer: -15589764*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1082551 at most -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 357526 - -5?\nAnswer: 357532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3844079 - 4.86?\nAnswer: -1.4755921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 236.145 to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - w - 1. Let k(f) = 5*f**2 + 9*f - 2. Let h(s) = k(s) + 6*n(s). Let y(b) = -30*b + 5826. Let l be y(194). Calculate h(l).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6301350 and 306?\nAnswer: 107122950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 3, 280, 2715\/7 in increasing order.\nAnswer: -5, 3, 4, 280, 2715\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21689341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1209, 2428, 3647, 4866?\nAnswer: 6085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -466213?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*l**4*r**3*w - 10*l**3*r**3 + 5*l**2*w + 3*r**3*w + 15*r*w wrt l.\nAnswer: -1080*l*r**3*w - 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -138.943 - -139. Let p = t + -1.057. What is the nearest to -1\/4 in 5, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/4, -0.3, 0.2, 727?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 115\/4 (c) -2\/7 (d) -4 (e) -18\/11 (f) -0.1214\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = a - 65 + 67, 10 = -2*a + 5*j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2636059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oif when three letters picked without replacement from ouioffooi?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l. Let r be a(3). Let i = r - -5. Solve -i - 18 = 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 269573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.82 at least -543482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + 5. Let k = p + -11. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 11207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - 1.4. Let y = f + -2. Let a = 16706 - 16705.8. What is the second smallest value in y, a, 3\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-44)\/803)\/(-1)*2\/(-52). Is z >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6385?\nAnswer: 5, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 716 divided by 2864.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84423871?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -230 + 607. Let c = -7165\/19 + b. Let g(y) = y + 8. Let d be g(-7). Do d and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2371320 divided by 474264\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-12)*(-6)\/(-4). Let t be -4 + 1 + (-286)\/(-126). Let a = -20\/21 - t. What is the third smallest value in x, a, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 38787098.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2849*o**2*v - 22558*o**2 - o*v + v wrt v.\nAnswer: -2849*o**2 - o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e2 + 10f0f?\nAnswer: 110f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (625*y + 461*y**2 - 625*y)*(0*y + 2*y - 3*y) - 25 + 2*y**2 + 2*y - 7*y**3 + 2*y**3 + 24.\nAnswer: -466*y**3 + 2*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzq when three letters picked without replacement from bqzkbkbb.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -372\/17 + 9323\/374. What is the common denominator of 59\/4 and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 21*k**3 - 5*k**2 - 5*k + 5. Let m(b) = 8 + 140*b**2 - 8*b + 137*b**2 - 285*b**2 + 32*b**3. Give -5*m(a) + 8*r(a).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15822 by 15833.\nAnswer: -15822\/15833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 120 = 4*g, -4*d - 5*g + 34 = -125. Calculate the remainder when 65 is divided by d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 12*u - 7*u. Let y(o) = 7*o**2 + 4. Let l(c) = -15*c**2 - 9. Let n(x) = -4*l(x) - 9*y(x). What is n(m(b))?\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.600015 + -6.6. Round f to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 532.185\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -177 + 3719\/21. Let w(c) be the second derivative of 0 - a*c**3 - 1\/42*c**4 + 2*c - 1\/7*c**2. Factor w(b).\nAnswer: -2*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -155\/4. Let b be 0 - ((-322)\/(-160) - 2). Let k = b - -21\/80. Is d at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-56)\/4 + -5 + 11. Let s(i) = -i**2 - 7*i + 6. What is s(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 656460293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 4 = -4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.5*73\nAnswer: 109.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c**3 + 6 - 12*c**3 - 6.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -2)*(17 - 49). Let v = -29 - w. Solve v = -3*x + 5*g - 3, -18 = -2*x - 4*g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/16)\/((-3)\/2)*18.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (715*y**2 - 284*y**2 - 216*y**2 + (-2*y**2 - 3*y + 3*y)*(-1 + 0 + 2))*(24*y + 42*y**3 - 24*y).\nAnswer: 8946*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + 44*q + 130. What is the least common multiple of m(-23) and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = 5*y - y. Let m(v) = 2*v**3 - v**2 + 2*v - 1. Let r be m(1). What is the tens digit of (y - (-40 - r)) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 16 = 4*i + 7*l, 0 = 5*i - 4*l - 17 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/8 of a kilometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -38, -5, -1 in increasing order.\nAnswer: -38, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: d (base 16) to base 7\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -0.4.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 6*x**2 + 4*x - 13. Let l(w) = -w**3 - w**2 + w - 2. Let q(j) = h(j) - 6*l(j). Let r be q(-1). Sort r, 17, 4 in decreasing order.\nAnswer: 17, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 306 - 264. What is the remainder when 165 is divided by j?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -37*i**2 + 8*i. Let q(r) = 36*r**2 - 8*r - 1. Let z(h) = 2*a(h) + 3*q(h). Is z(3) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 + 5. Let c = 12 - 7. Let y(w) = -w**2 + 2. Determine c*y(i) - 2*z(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**2\/7 + 184*i\/7 - 26 = 0.\nAnswer: 1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3618, -3585, -3654, -3825, -4098, -4473, -4950?\n\"Answer: -51*u**2 + 186*u - 3753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5880 divided by -1960.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 + -45. Let f = p - -4.5. Let l = 4 + 0. What is the closest to -1 in -0.1, l, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1386 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 + -108. Calculate the remainder when 42 is divided by 202*3\/24 + 3\/z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -7) + -1 + -1. Suppose 32 = -f*q - q. Let h = 0 - q. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**5 - 1405710*k**4 + 32328685*k**3.\nAnswer: 5*k**3*(k - 281119)*(k - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 8. Let a be (-22)\/2 - (-10 - -8). Let f = d - a. What is the lowest common multiple of 3 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 10*m**2 + 9*m - 104. Determine x(8).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/(-12) + 4\/(-6). Let f(g) = -5*g - 5. Let m be f(q). Solve -u = -6*u - m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Suppose -14*f + f = 2*f. Suppose f = -3*x + 5*w + 459, 3*w = -l*x - 163 + 488. Is x a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7064\/7 + 423623\/420. Calculate the common denominator of -97\/20 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j + 11. Let f(y) = -3*y - 6. Let i(l) = 11*f(l) + 6*s(l). Suppose -2*r = -r - 3. Let d(g) = r + g - 3. Calculate i(d(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 13*j + 1. Let k(t) = 4*t. Give 2*i(f) - 7*k(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54 - -45) + (-1 - -32 - 7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 813648 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -159.838*1\nAnswer: -159.838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27034 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + m - 7. Let i(h) = -2*h**2 - h + 8. Let d(o) = 6*i(o) + 7*r(o). Let a = 11 - 10. Calculate d(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -445*m - 56*m**2 - 242*m**2 + 445*m to r*m + y + n*m**2 and give n.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 b, and 1 y when four letters picked without replacement from lllbblblllblbbbylx?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3018, -3030, -2972, -2808, -2502, -2018?\n\"Answer: 6*k**3 - k**2 - 51*k - 2972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*c + 855 = -18*c - 8*c for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 8*i**3 - 466*i**2 + 60*i + 3181. Calculate f(58).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 342917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1236947.2794 rounded to the nearest ten thousand?\nAnswer: 1240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + o - 15, -5*j + 4 = 2*o - 36. Let g(y) = 4*y**3 + 11*y + 14*y**2 - 6 - 5*y**2 - 5*y**3. Let h be g(j). Solve h*i = -4 - 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/(-494)*52*(-1)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(152)*2)\/sqrt(8) - (3 + (sqrt(1539)*-1 - sqrt(1539)))**2.\nAnswer: -6167 + 110*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 45 + -48 + (3 - 1). Let v be (-122)\/(-3) + 4\/(-6). Suppose 2*y + 31 - 1 = -4*w, 3*w = -5*y - v. Put y, p, 2 in decreasing order.\nAnswer: 2, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**28*l*l\/(l**(-20)\/l*l) assuming l is positive.\nAnswer: l**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r**3 + 220*r**2 - 875*r + 490 = 0. Calculate r.\nAnswer: 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 3*b + 3. Let u be r(3). Suppose -u = 3*s, -4*o - 6 = -3*s - 61. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2.3, -0.5 in descending order.\nAnswer: 2.3, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.69452 + 195.63342. Let i = -0.2389 + j. Let h = i + -165. What is h rounded to 0 decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 9 = 29454*t - 29450*t, -t + 3*n + 4 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 13*y - 7. Let c be s(-7). Let l = c - 55. Let m be (2\/l)\/((-6)\/90). What is the greatest common divisor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*a**2 - 313*a + 24 = 0. Calculate a.\nAnswer: 1\/13, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 4*s**2 + 6*s - 6. Let z be t(5). Let g be -3 + (-3 + 1)*(-15)\/10. What are the prime factors of -3 + g + (-14)\/z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2938 + 2939.1. Which is the fourth smallest value? (a) 0.37 (b) s (c) -1 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 10*t**3 - 3*t - 7432. Let w(r) = 37*r**3 - 11*r - 29734. Give -11*a(q) + 3*w(q).\nAnswer: q**3 - 7450","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v. Let p(s) = -47*s**2 - 4*s + 3. Determine p(r(b)).\nAnswer: -188*b**2 + 8*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 138 = 4*l - 478, 2*s - 85 = -l. Suppose -l = -5*c + 45. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -1. Let d = 7 - h. Suppose -z - d*z + 9900002 = -2*s, -s = -z + 3300001. What is z rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29464 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0*j - j)*(-5*j**3 + 3*j**3 + 4*j**3) + 2*j**4 + j**4 - 2*j**4 + 0*j**4 - 2*j**4 + j**4 + (-2*j**3 + 0 + 0)*(-j + 1 - 1).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i**2 + i + 1. Give k(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - d + 3. Let r(z) = -133*z**3 + 2*z - 156. Let u(o) = 2*c(o) + r(o). Differentiate u(j) wrt j.\nAnswer: -393*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.065377 and -0.5?\nAnswer: 4.5326885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, f: 5, w: 2, c: 5, h: 5}. Give prob of picking 3 h.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -3*m**4\/2 - 2*m**2 - 6. What is the second derivative of c(h) wrt h?\nAnswer: -36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 112713 + 0?\nAnswer: 112713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 - 37541788*m - 528519692338854.\nAnswer: -2*(m + 28156341)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3240532*c**2*i**3 - 2*c**2 - 131*c*i**2 + 2*c*i + 11*i**3 + 13755*i**2 wrt i.\nAnswer: 19443192*c**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 17?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -203, -321, -469, -653?\nAnswer: -879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/17))**(2\/107)*t\/(t\/(t\/(t**4*t)))*t*t\/(t\/(t*t*t**(18\/11)*t)) assuming t is positive.\nAnswer: t**(32698\/20009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2\/11 + 79056*z\/11 - 781231392\/11 = 0. What is z?\nAnswer: 19764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2. Let h(q) be the second derivative of 0 - 17\/3*q**3 + 0*q**2 + 55*q. Determine h(s(x)).\nAnswer: 68*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*q = -t + 4, 0 = 5*t - q + 7. Let f be t + (-428)\/(-6) + -1. Let h = 67 - f. Which is the biggest value? (a) 4 (b) h (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84 - 218148\/(-2604))*(-2)\/70*-2?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -22*w**2 - 97*w - 4. Let a be n(-2). What is the highest common divisor of 1632 and a?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189257344 divided by -62918.\nAnswer: 3008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12311?\nAnswer: 13, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y - 56*y - 547 = -85 + 328 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c. Let a(j) = -11629082*j**2. Calculate a(w(z)).\nAnswer: -569825018*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - k + 23. What is p(7)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - j + 5*j - 92 = 0, -5*j + 301 - 153 = 6*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 0 - 12 = 0. Let g be (-75 - q)\/(4\/(-4)). Suppose 2*l = 41 - g. Which is smaller: l or -15?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4234874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5224 and 390496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*f = 14. Find the third derivative of -7*y**2 + y**6 - 2*y**f - 2*y**6 wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 883*53195.\nAnswer: 46971185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24900.\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -629, -1900, -3651, -5714, -7921?\n\"Answer: 28*k**3 - 408*k**2 - 243*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3818 + -1211. What are the prime factors of v?\nAnswer: 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355493 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -14*y**2. Let p(o) = -14*o**2. Let q(g) = 6*p(g) - 7*w(g). Let k(j) be the second derivative of -2*j**3\/3 - 14*j + 3. What is k(q(i))?\nAnswer: -56*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 - ((14 - 19) + 6 - (-33 - -13)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -17*y**2 + 743*y - 664. Determine f(43).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-46)\/34 - (0 - (1 - 0)). Let u = -155\/391 - k. Put 4, u, -5 in ascending order.\nAnswer: -5, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38584 and 718212222?\nAnswer: 9646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 67, 283, 649, 1165?\n\"Answer: 75*r**2 - 9*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggo when four letters picked without replacement from {o: 1, n: 2, h: 1, p: 6, g: 5}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246420 is divided by 275?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 11*r**2 - 19*r - 7. Let c be i(-9). What is the first derivative of -2*s**2 - 2*s**2 + 26 + s**c - s**2 wrt s?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, j: 1, c: 2, n: 2, k: 1}. What is prob of sequence jnb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26.1 and 0.3?\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 less than 3483230?\nAnswer: 3483197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 409553*j**3 - 2530192?\nAnswer: 1228659*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 269530 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8 + 5.6. Let h = -0.2 - f. Let j = h + 4. Which is the closest to j? (a) -3 (b) 1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -67\nAnswer: -670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + (-120 - -34 - -93)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1350?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 2*n + 5. Let c be k(-5). Let a be 3\/12 - (-2 - c\/(-8)). Solve 0 = 3*w - a*w - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*j = 9, 0 = u - 4*u + j + 6. Suppose 4*l - 20 = h - u*h, 4 = h. Put -3, l, -5 in ascending order.\nAnswer: -5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 + -0.34. Let q = -0.06 + v. What is the biggest value in 3, -1, q, -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*t - 4*h, -3*h + h = 5*t - 14. Calculate the remainder when 6 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-610 - 0)*((-4)\/(-9) - (111 + 471770\/(-4275)))?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/5 - 20*x**3 + 288*x**2\/5 - 284*x\/5 + 94\/5.\nAnswer: 2*(x - 47)*(x - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2)*(-16)\/(-4). Let n be (-1)\/(-3)*(3 - 3). Find the second derivative of -h + 3*h - 5*h**2 + 5*h + n*h**g wrt h.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -731*r - 729*r + 1459*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -1) + -2 - 1. Suppose q = 5*w - 198 + 88. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -7*t + 3*t. Suppose -t*z + 365 = 68. Suppose -b - 5 = d + 2*b, -b + z = -4*d. Is -8 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -316508, -1265908, -2848252, -5063546, -7911796, -11393008?\n\"Answer: -f**3 - 316466*f**2 + 5*f - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Let s be (3\/9*z)\/(-1). Let o = -10 - -52\/5. Which is the nearest to s? (a) 1 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23140 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -0.0265, -2\/13, 2?\nAnswer: -0.0265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206*1.62104.\nAnswer: -333.93424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.196, 5, 219, 15, -5\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -1693867.4.\nAnswer: 846933.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 3 + (-1692)\/844. Let g = d - 1474\/633. Do g and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*3\/8*4. Let r(b) = -b**3 + 4*b**2 + b. What is the remainder when 69 is divided by r(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16 - 17*w**2 - 15*w**2 + 4*w**2 + 48*w = 0. Calculate w.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1098*x**6 - 2*x**4 + 1904*x**2?\nAnswer: -131760*x**3 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + 0 + 0)*(-4*g**2 + 3*g**2 + 2*g**2) + (-29889 + 6261 - 9718 - 19438)*(g**5 + g**2 - g**2).\nAnswer: -52786*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 6 + -6 + 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 11*o - 346 + 326 = 0, 13*o = 2*z + 44 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Let w = -11 - -19. Suppose -k*i + w = -4. Solve -i = -m - m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2030 and 4888965.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**2 + 0*y**2 + 3*y**2 + (318 - 318 - 47*y)*(-3*y + 1 - 1) + (y - 5*y + 2*y)*(0*y + 0*y + 2*y).\nAnswer: 136*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**4 - 9304*i**3 - 22100980*i**2 - 2137868304*i - 46084207104 = 0.\nAnswer: -4602, -68, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 13*d - 11. Let c be r(-12). Solve 5*k = 2*n + 13, 5*n = 5*k - 3*k - c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1765.8759 seconds?\nAnswer: 29.431265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - s = -4*p - 111, -3*p - 4*s = -335. What are the prime factors of p - 2 - (-3 - 1)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*m**3 - 31775*m + 31775*m - m**2 - 3 + 3.\nAnswer: -88*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.92 + 11. Let i = h - -0.02. Let j = -2.2 - i. What is j rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/5)\/m**(-3\/2)*(m*m**(1\/4)*m*m)**(-2\/3)*((m**1\/m)**(-1\/20))**(1\/3) assuming m is positive.\nAnswer: m**(-19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -15. Solve 3*b = 5*t + 15, -4*b - 2*t - t + 20 = d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (949\/(-3276))\/(100\/(-30)) and -53\/140.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/6068 + 9518\/74333. Calculate the common denominator of -19\/686 and t.\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4295, 4058, 3843, 3650, 3479?\nAnswer: 3330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*b + 3)*(6*b + 3*b - 4*b) - b**2 - 4*b**2 + 4*b**2.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-20 + 12 + 9 - 8 - -94)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6\/t*t**(-3\/2))**18\/(((t\/(t**2*t))\/(t*t\/((t*t**5)\/t*t)*t*t))\/(t\/((t**(1\/2)*t*t)\/t)*t*t**1)) assuming t is positive.\nAnswer: t**(129\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i - 2. Let k(v) = v. Give p(k(u)).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 11*j - 26. Calculate the least common multiple of v(-14) and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*w - 3. Suppose 5*o - 5 = n, 2*o - w = 4*n - 17. Calculate the remainder when o is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46321440 to the nearest ten thousand.\nAnswer: -46320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 748 and 935?\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + 47*v - 82. Calculate s(21).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 59.\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/2 + 4)\/((-1)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -70, -141, -212?\n\"Answer: -71*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/((-275)\/10))\/(-4)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**5 + 1632*q**4 - 9984*q**3 - 19720*q**2 + 62844*q - 34776 = 0. What is q?\nAnswer: -414, -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 21918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -14. What is the units digit of 8*(-3)\/(l\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 29*m**2 - 1944 + 14*m**2 + 18*m**2 + 28*m**2 - 72*m**2.\nAnswer: 17*m**2 + m - 1944","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + 3c84?\nAnswer: 3c74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 818 and 0.\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4448126 months in centuries?\nAnswer: 0.0012040105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 866006 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 1 = 25 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93953753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**5\/4 - 25*t**4\/12 + 125*t**3\/6 + 625*t**2\/2 + 142*t. Factor b(u).\nAnswer: -5*(u - 5)*(u + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*m = -122, 2*j + 80 = 5*j - m. What is the lowest common multiple of j and 30?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**2 - 45915*s + 32707332 = 0?\nAnswer: 749, 14556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/100)\/((-24)\/20).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22467313 (base 8) to base 12\nAnswer: 1772b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 1, b: 1, e: 1, h: 1}. What is prob of picking 1 h, 1 t, and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 201.698 + -202. Let l = z + -0.098. Which is the third biggest value? (a) 0.2 (b) 4 (c) l (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**3 - n**2 - 5*n - 4. Let f be t(-1). What is the first derivative of -86*r**4 - 924 + f*r**3 - 3*r**3 + 835 wrt r?\nAnswer: -344*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 587*c**2. Let r(x) = -7*x**2 - 50 + 33 + 17. Calculate r(k(a)).\nAnswer: -2411983*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**2\/2 - 5*g + 88. Give j(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 1:35 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1127083, 2254348, 3381611, 4508872, 5636131, 6763388?\n\"Answer: -k**2 + 1127268*k - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 496 + -515 - (2 - (0 + 74))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 = 2*b, 11 = 43*b - 41*b - 7*x. Calculate the lowest common multiple of 2927 and b.\nAnswer: 5854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 295 (b) -2\/13 (c) -8\/7 (d) 1 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0. Let q = -16972 + 152578\/9. Let g = q - -19. What is the second smallest value in g, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23025)\/(-120) + (-2)\/(-16). What is the highest common factor of 448 and u?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 + 2*q + 2*q + q - 6*q + q**2 to the form u*q**2 + a*q + r*q**4 + n + p*q**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**8\/20160 - 5*m**5\/12 + 30*m**2. Let s(a) be the third derivative of c(a). Let y(p) = 3*p**2 + 8. Determine s(y(k)).\nAnswer: -9*k**4 - 48*k**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5244*n**3 - 5242*n**3 + 10495*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -25 + 0*r**3 + 16\/5*r**5 - 23\/2*r**2 + 0*r**4 + 0*r. What is the second derivative of x(q) wrt q?\nAnswer: 192*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -710199 and 129.\nAnswer: -91615671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 10140*p + 60660.\nAnswer: 5*(p + 6)*(p + 2022)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r**2 + 2*r + 4. Let k be z(3). Suppose -8*w + k = -38808. Suppose 0 = 6*g - 1051 - w. Is g 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) 5 (b) 0.3 (c) 106 (d) 2\/5 (e) 59 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19bb8 - 1?\nAnswer: 19bb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-18))\/((-2)\/12). Solve s + 4*i + 1 = 5*i, 2*i = 3*s - t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80045510 and 406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42994726 and 3222?\nAnswer: 386952534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 109379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 a when three letters picked without replacement from amrzazzzzzzzazrz?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 2*p + 9. Let t(y) = -1. Let m(x) = -6*t(x) - v(x). What is m(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 2490 - 184. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.5 from -0.09535.\nAnswer: -2.59535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 6) to base 5.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Let w(a) = -1469*a**2 + 1887*a. What is d(w(q))?\nAnswer: 1469*q**2 - 1887*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/21)*x*x*x**(2\/5))\/(x**6\/x**(2\/9)) assuming x is positive.\nAnswer: x**(-779\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -3. Suppose -3*n + 53 = 4*z, 5*n - z - 73 = -i*z. Let s(h) = 10*h - 4. Let j be s(1). What is the highest common divisor of j and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 156\/(-91)*(-14)\/36. Find g, given that 0 - 112\/9*g**4 - f*g**3 - 32\/3*g**5 + 2\/9*g + 4\/3*g**2 = 0.\nAnswer: -1, -1\/4, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*5*2\/40. Let h(r) = r**2. Let a be h(-1). Let i be 3 + -1 + a\/3. Which is smaller: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 30*h + 6*h**2 + 30*h)*((1 - 1 - 1)*(3 - 3 + 2*h) - 5*h + 2*h + h).\nAnswer: -24*h**3 + 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + a16?\nAnswer: a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1992 - 928.4992. Round j to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55814219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 0. Suppose -3*d + 21 = v. Is 386\/2 + (d - 7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 8*x + 4*x + 9, 5*x = 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-15 - (-11 - -7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*f = c - 6, 3*f + 5 = 5*c. Let j be -3*(-6)\/9 + 0. Suppose -j*u = 4*g - 266, 0*g - 202 = -3*g - c*u. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 - 17 - 14 + 2*v + (1 + 0 + 0)*(-2 + 2 + v) in the form i + h*v and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5499, -2, 4 in ascending order.\nAnswer: -5499, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/4 and -119\/112760.\nAnswer: 112760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -87*-183*(-20)\/(-36). Suppose 17829 = -3*r - 3*i, r + 7759 - 1831 = -4*i. Let a = r + c. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n - 51*n + 17*n + 17*n - 3*n**3.\nAnswer: -3*n**3 + 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 60*r**3 + 4*r**2 - 23*r + 1943. Let u(b) = -175*b**3 - 11*b**2 + 69*b - 5828. Let w(p) = -4*u(p) - 11*v(p). Differentiate w(i) with respect to i.\nAnswer: 120*i**2 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052 + -2 + 3 + 5 + -9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1867774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -87117, -86676, -85941, -84912, -83589, -81972, -80061?\n\"Answer: 147*z**2 - 87264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 252, 503, 754, 1005, 1256?\n\"Answer: 251*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -4\/3 (b) -3 (c) 521949\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - 1 - 2*b - 5*b)*(-38*b - 15*b + 18*b + (4*b - b - b)*(-2 + 3 + 0) + (9 - 9 - 15)*(b + b - b)) in the form c + f*b + p*b**2 and give p.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**2 - 11*c + 3. Let p be x(-3). Put p, 3, 2 in decreasing order.\nAnswer: 3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 53 - (-1 - -6 - 21).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6284.773 rounded to the nearest 100?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(35 - 11 + 10)*(-668*h + 559*h + 410*h) + 0*h + 0*h - 2*h.\nAnswer: 10232*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9443295 (base 11) in base 16?\nAnswer: -fe1394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -468350 divided by -8075.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 5*d + 3*a, -3*a = 159*d - 161*d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, y: 2, o: 1, c: 1}. Give prob of sequence cyy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 162 + 49. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260455865.\nAnswer: 5, 52091173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2. Let s(q) = 1032*q - 325*q - 306*q - 318*q. Determine s(v(i)).\nAnswer: -83*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 = -7. Suppose -4*f + 11 - k = 0. Suppose 3*p = 4*g - 15, 5*g - 12 = -p - f*p. What is the closest to -0.1 in -0.5, 4, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4 = -d, 3*i + 468 = 3*d. Does -159 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, o: 1, l: 2}. What is prob of sequence jo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 65*h + 134. Let k be c(-2). Suppose -5*r = 5*x + 45, 1 = -x - 4. Sort k, 2, r in descending order.\nAnswer: k, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 37*w**2 + 8*w - 3*w.\nAnswer: 37*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/271 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 478156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkf when three letters picked without replacement from {y: 3, n: 4, a: 1, k: 2, f: 6, j: 2}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -299897, -599797, -899699, -1199603?\n\"Answer: -h**2 - 299897*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2426, -2421, -2414, -2405, -2394, -2381, -2366?\n\"Answer: b**2 + 2*b - 2429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/4)\/(2\/(-24)). Let t be (f\/5)\/(1\/10). Let u = 30 + t. What is u rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*(sqrt(45)\/(sqrt(9)*-2) - sqrt(5))*4 - 6*(-4 + sqrt(100)\/sqrt(5)))**2.\nAnswer: -864*sqrt(5) + 2196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -d - 639. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + -1 + -94 + 101.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31\/3 - 11. What is the nearest to s in -5, 0.1, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:31 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -4*f - 84, -51410*f = -51405*f - 2*y + 105 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 653293, 653290, 653285, 653278, 653269, 653258, 653245?\nAnswer: 653230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5 + 7922984*l**4 + 3923354716512*l**3 - 7922984*l**2 - 3923354716516*l = 0.\nAnswer: -990373, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -11*g - 8. Let x(f) = 6*f + 4. Let h(t) = -4*p(t) - 7*x(t). Suppose 5*q - b = -86 + 54, -36 = 3*q + 5*b. Give h(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*m - 61*m = -6840. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5*c - 260 = 0. Suppose g = 221 + c. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 621246 and 8178?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 303639 and 1064?\nAnswer: 2429112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 35*x + 1. Calculate r(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -4*p - 4, -3*p + 71 = 5*g + 39 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -37882 divided by -806\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7*t = 0. Solve 6*m - m - 15 = t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*q + 9469 = 17413 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 289891*i**2 + 0 + 579776*i**2 - 289890*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59333 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 161148, 322308, 483468?\n\"Answer: 161160*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -51, -5, 1, -2 in descending order.\nAnswer: 5, 1, -2, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 49*n**2 - 122*n + 142. What is t(51)?\nAnswer: -878","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/31350 and -119\/13200?\nAnswer: 250800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -986 = 483*j + 23647 for j.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 787610 and 820?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8436\/133 + 8\/14 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*g + 82, -31 - 2 = -2*q + g. Suppose 2*d - q = 143. Does 29 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/141, 5, -1\/3, 0.2, 3, 0, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15585.675 and 0.4.\nAnswer: 6234.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 311238 at most as big as 311240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -275*p - 2029. Is 35 a factor of w(-46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1773?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-265)\/55 + 5 - (-869)\/(-121). Put -3, 0, t, 4, 18 in descending order.\nAnswer: 18, 4, 0, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 5 + 25. Suppose -5*k - 3*c = -13 - 12, 4*c - 10 = n*k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.242 - -0.058. Let q = y + -2.4. What is the closest to q in 2, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 29*p - 34*p + 90, 69 = 5*s - 2*p for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.2743 years to centuries.\nAnswer: 0.562743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 167229511 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-60)\/(-81))\/(9185\/529056). Let m + 4\/3*i**2 + 16*i = 0. What is i?\nAnswer: -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -698\/5 - -140. Let d be (6 - 6) + 2 - (6 - 2). Which is the closest to g? (a) d (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*544674.8.\nAnswer: -2178699.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1230)\/15*2\/(-11)*11\/(-4).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(10)\/(sqrt(14)\/(sqrt(7)*1)).\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 5)*(0 - s**2 + 0)*(10*s - 2 + 0 + 1).\nAnswer: -10*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*o**5 + 0*o**2 - 12*o**2 + 30*o**5 wrt o?\nAnswer: 1020*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 133*k - 135*k = -198 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2439 + 2461. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**2 + 21*i + 9. Let w be r(-4). Solve -34*s + w*s**2 - 21*s**2 + 3*s**2 - s**2 + 24 = 0.\nAnswer: -3, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 2053 in decreasing order.\nAnswer: 2053, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u + 1. Let f be 1 - (-1)\/(-1) - 12. Let j = f - -7. Let k(s) = 7*s - 3. What is j*w(z) - 2*k(z)?\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*i - 1604 = 4*i, 1231 = -3*t + 4*i. Is ((-3 - t)\/3)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25*109376\nAnswer: 2734400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-14) - ((-16048)\/(-2856))\/(10*1). What is the closest to 2\/7 in j, -2\/19, 42, 2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.6946184us in weeks?\nAnswer: 0.00000000011688925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*m - 27*m + 11*m)*(-1 + 3 - 3)*(2 + 4 - 4).\nAnswer: 70*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 688526.285 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2 - 131327*m = 0.\nAnswer: 0, 131327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 148963 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 353, 425, 497?\nAnswer: 569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2 + 2 - 7 - 2*t - 1. Let k(s) = -1. Let v(o) = -2*o**2 + 3*o - 2. Let g be v(2). Calculate g*k(c) + w(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656 times -80252?\nAnswer: -132897312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1873 + 6731 = -2*i, -2*i = -2*j + 1948. Suppose 9*b = 4*b + j. List the prime factors of b.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 91, 180, 269, 358, 447?\n\"Answer: 89*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*g + 51984 - 55316 = 0 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000101220 (base 3) to base 14.\nAnswer: 48945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a. Let r(q) = -4*q - 4. Let z(c) = -6*c + c**2 - 9*c + 4*c - 11 + 0*c**2. Let p(y) = 11*r(y) - 4*z(y). Calculate k(p(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3*v**2 + 2 + 119*v - 125*v to c + u*v + l*v**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*v**4 - 25*v**3 + 20*v**2 + 20*v.\nAnswer: -5*v*(v - 1)*(v + 2)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 37705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -6 + 4 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from {f: 6, t: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 1 + 13. Solve -3*f = -2*o + 11, 0*f + 5 = -l*o - 3*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 - u**4 - 7*u**3 + 2*u**2 - 2*u**4 + 6*u**3 + u to the form m + k*u**3 + i*u**4 + y*u**2 + g*u and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 8*y**2 + 10*y - 7. Let b be f(9). Suppose 3*d - 5 = 2*d. Suppose 3*m + 2*m - 70 = d*u, -b*u = -8. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + 25\/(-5))\/(2\/85). Let t = -77 - r. Let d = 29 - 13. Solve -2*c = -3*y + t, 5*y - 5*c - d = -1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*5\/(-4)*(-116)\/((-89320)\/(-77))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -70*f**2 + 2421*f + 4857. Determine r(-2).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -838361 + 404321 + 0*j + 2*j + 434040.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 - -10101001?\nAnswer: 10010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-one fifths of a meter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/170 and -97\/2720.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3949671315?\nAnswer: 3, 5, 4271, 61651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -514*f = -159*f + 10236 - 31536. Calculate the remainder when 380 is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*x**3 - 18*x**3 - 9*x**3.\nAnswer: -165*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.77 - -0.23. Let n = w + -2.4. Let k = -2 + 4. Which is the second biggest value? (a) n (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10499 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.6 and 6105?\nAnswer: 70818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17829047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2672)\/(-36))\/((-15)\/(-18)) + 836\/60 + -14\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 891 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 18 + 6 - 3*m)*(-4*m**2 - 3*m**3 + 2*m**2 + 4*m**3).\nAnswer: -6*m**4 + 24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u**2 + 2*u**2)*(-5*u**2 - u**2 - 4*u**2)*(18 + 1 - 3 + (-7 + 9 + 14)*(-1 + 4 - 1)).\nAnswer: -960*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**6\/4 - 57*v**5\/10 + 1449*v**4\/8 - 905*v**3\/2 + 663*v**2\/2 + 8426. Determine d, given that z(d) = 0.\nAnswer: -34, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*m - 44 = 16, 0 = -g - 2*m - 20. Let l be (-2)\/6 + (-4)\/g. What is the second derivative of l*n + n - 5*n**4 + 0*n**4 + 3*n**4 wrt n?\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.38 + -0.48. Is -1\/55 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g = 27*g - 264. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82 and 911363498.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77)*2*3)\/(-1*sqrt(175) - sqrt(7)).\nAnswer: -7*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1314 = -120*c - 3234 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**5 - 72*q**4 - 388*q**3 + 4872*q**2 - 4410*q = 0.\nAnswer: -21, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -1\/3, 8489, -1\/37, -0.6 in decreasing order.\nAnswer: 8489, 1\/6, -1\/37, -1\/3, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12769 * -0.5\nAnswer: 6384.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-9) - (11265\/(-135) + -78 + 72)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 184 = -6*y. Let r = y + -32. Let f = r + -39. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**5 + 15*c**4 - 5*c**3 - 35*c**2 + 20 = 0. Calculate c.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (64\/48)\/((-2)\/(-180))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 8*n**2 - 9*n - 2. Let f be b(-9). Let y = 6 - 11. Let i be (-2 - y)*(-3)\/15. Are f and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1066 smaller than 22322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 21*c**2 - 5. Let d be z(21). Are -5 and d nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -31670, 8 in decreasing order.\nAnswer: 8, -1, -31670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 + 62. Find the third derivative of 60*x**2 - 61*x**2 + 12*x - 2*x + k*x**5 - 9*x**3 wrt x.\nAnswer: 120*x**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssc when three letters picked without replacement from ssssscscsss?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*o = -219*o - 99. Solve -5*q + c = 3*c - 28, -o*q - 4*c = -28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001259428 to seven decimal places.\nAnswer: 0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*22 + 62 + -31.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82455 and 2070?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*p + 29, 6*p + 5*i = 2*p - 13. Let z(t) = t**3 - 14*t**2 + 19*t - 78. Let y be z(13). Solve -4*r - p - 1 = y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 7*k - 1. Suppose -4*h - h - 2*s + 22 = 0, s + 10 = h. What is the least common multiple of 11 and m(h)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -4, 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -253 and 6026503613.\nAnswer: 6026503360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12843*n - 19453 = -12446*n for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -68\/269 (c) 0.1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/49)\/(m\/((m*m**(-2\/23)*m)\/m))*m**(-13\/2)\/((m\/(m*m\/m**(3\/4)))\/m) assuming m is positive.\nAnswer: m**(-23875\/4508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-655)\/262)\/((-210)\/(-24))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 529500 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = -s + 11, 5*s = 5*n + 5. Let y be (-7)\/2 - n\/(-4). Let j(k) = -2*k**3 - 4*k**2 - 3*k + 3. Calculate the remainder when j(y) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 109*s + 105*s - 220*s.\nAnswer: -6*s - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/44 and 4\/(-10) + 627\/(-220).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.194547 to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/7, 1.8, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.6 and -2.82504?\nAnswer: 4.42504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3702 and -3.2.\nAnswer: 11846.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = 10*j + 108 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 4:40 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-224)\/1904 - ((-1410)\/(-204))\/5.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4613955 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 288?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, j: 1, r: 1, n: 1, t: 1, i: 1}. Give prob of picking 1 n, 1 t, and 1 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 97, 205, 403, 697, 1093, 1597, 2215, 2953?\n\"Answer: g**3 + 39*g**2 - 16*g + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s + 2. Let k(d) = 27*d - 9. Let n be 95\/15 + -6 - 28\/3. Determine n*o(z) - 2*k(z).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -468 + 948 - 481 - 265*u as j + z*u and give z.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 6:10 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3724992ml?\nAnswer: 0.0003724992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -8*j - 42, -3*j + 4*k - 21 = 9 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from {b: 6, r: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**3 - 14076*k**2 + 11432964*k - 2105892100 = 0?\nAnswer: -4225, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3163*l - 28699067 = -3192*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207562541.\nAnswer: 29, 41, 174569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-6))\/((a\/a**0)\/a))\/((a\/(a\/a**2)*a)\/a)**(-40) assuming a is positive.\nAnswer: a**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**5 + 33*d**4 - 15*d**3 - 465*d**2 + 18*d + 432 = 0 for d.\nAnswer: -3, -1, 1, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4190 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 7*b + 26 = 0. Let x = 13 - b. Solve x = s - 3*s - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 12:30 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - 1\/(-1)) + (53 - 0). Let s = g - 49. What is the least common multiple of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35294 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2269990 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: Suppose -204 = -g - 5*x + 182, 3*x - 15 = 0. Let m = g - -56. What are the prime factors of m?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f + 4*f + 3*f)*(-2 + 2 - 7).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 158 - 152. Calculate the remainder when 39 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -13*n - 6. Let g be b(-1). Solve -2*k = -g*k - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13583706.5 rounded to the nearest 1000?\nAnswer: 13584000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnvnnccv. What is prob of picking 1 c and 1 n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 12. Let a be l(-7). Suppose a = -3*x - 5*r, -4*r = 3*x + 2*x + 4. What is the remainder when 14 is divided by 3 + -6 + x - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s**2 - s**3 - 3*s**2)*(-644*s + 663*s - 5 + 9) to the form q*s + w*s**2 + f*s**3 + l + b*s**4 and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 108\/13?\nAnswer: 108\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10561\/21 + 503. Let v(b) be the first derivative of o*b**3 + 0*b**2 + 1 + 0*b. Factor v(j).\nAnswer: 2*j**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t - 12. Let f be n(-12). What is the common denominator of -46\/9 and (58\/(-3))\/((-40)\/f)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((148\/(-6))\/1)\/(343\/((-157437)\/(-306))).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -829. Is p a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l + 4*l - 33*l to d + n*l and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -654.5 + 671.535. What is k rounded to 1 dp?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*w + 526*w - 25 = 608 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 + 2*f + 18. Calculate p(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 1. Let d be r(7). Let z be 14\/d + (-4)\/(-6). Suppose y - 5*y = -z*s - 2, -s - 4*y + 26 = 0. Solve 3 = g - c, -s = -5*c - 16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -88350 to the nearest one thousand.\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f - 33*f = 32922. Calculate the common denominator of -79\/18 and f\/130 + (13 - 8).\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -4. Suppose 0*d = -c*d + 20. Suppose 0*j = -d*j + 10, -z + j + 26 = 0. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**3 - 37*k**2 + 133*k - 2073. Calculate l(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 5*s + 32 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/23)\/(d*(d**(-1\/2)*d)\/d) assuming d is positive.\nAnswer: d**(-25\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + (-22 - -31) - -1.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 5*k**2 + 6*k - 8. Suppose 12 = -2*m - 2*j - 2, 4*j + 14 = -2*m. Let a be b(m). What is the greatest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 + 42*z + 212\/5.\nAnswer: -2*(z - 106)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -24329*a + 2262581. Give d(93).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 4 = -f. Let u(b) = 25*b**3 + 5*b. Let y(g) = 13*g**3 + 3*g. Let n(q) = f*u(q) + 11*y(q). What is the second derivative of n(c) wrt c?\nAnswer: -42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, -4, 0 in increasing order.\nAnswer: -4, -3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -702*l + 1148. Let h(s) = -s. Calculate k(h(g)).\nAnswer: 702*g + 1148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r - 144. Suppose -4*f = -r - 0. Calculate the lowest common multiple of 7 and f.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 4*w**3 + 0*w**3)*(0*w**2 + w**2 - 3*w**2) + 0*w + 3*w**5 + 0*w + (-19 - 47 + 20)*(-5*w**5 - 22*w**4 + 22*w**4).\nAnswer: 229*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p. Let x(g) = g**2 + 3*g. Let y be (16\/12)\/(2\/(-3)). Let s(o) = y*x(o) - 3*v(o). Let w(r) = -r. Calculate s(w(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 724*h + 50434. Give v(-64).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -166 - -170. Suppose 0 = 3*c + 3*k - 48, -2*c + v = 5*k - 13. Does 21 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 57*7\/(-84)*(-24)\/228. What is the nearest to 0 in -5, v, 22.7, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3999436 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 2:49 AM and 11:10 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -33*s + 8. Let x be a(1). Is 2 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13197, -13236, -13351, -13584, -13977?\n\"Answer: -7*o**3 + 4*o**2 - 2*o - 13192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.62 and 598.\nAnswer: 370.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28\/5? (a) 690 (b) -2\/7 (c) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -76a118 + 19a?\nAnswer: -769b3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 759363 divided by -759363?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 21*y + 60. Determine h(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.1 + -25. Let f = r - -0.9. Which is the biggest value? (a) f (b) -0.4 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-174 + 93 + 149)*(4*j - 4*j - 2*j)*(-1 - j + 1).\nAnswer: 136*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*-1*4\/39\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 2148896 and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 27467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/16)\/(-15*21\/(-210)). Which is the third smallest value? (a) 0.5 (b) 1\/4 (c) -0.297 (d) p (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-3 - (1 - 11)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 6*r - 13. Let s be -24*(-3)\/(-27)*-3. Let b be a(s). Solve b*m = -4*h - h + 7, -9 = -3*h - 3*m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + -3 + 1*20. Suppose 2*h - 84 = 8. Let m = h - c. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 2. Let j be r(0). Let f(n) = -5*n. Let i be f(j). Let g = i - -14. What is the remainder when 10 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 568 and 496787?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 9240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4022?\nAnswer: 2, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 7 = 2*p, 0 = 2*b + 4*p - 137 + 151 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28342331.\nAnswer: 2549, 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/13)*n**(-6)*n assuming n is positive.\nAnswer: n**(-63\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*r - 309, -2*r + 3*v - 114 = -v. Let a = 61 + r. Suppose 5*k - m = 2668 - 1054, a = -2*k + 4*m + 660. Is 45 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n**2 + 1. Let s be h(1). Let q be -3 - (63\/s)\/3. Solve q*x + 4*y + 12 = 0, 4*x - 2 = 6*x - 2*y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713 is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 6020.\nAnswer: 54180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1370 divided by -8089.\nAnswer: 1370\/8089","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -77*z + 1946. Calculate v(27).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 177 + 167 = 0, -5*f + 1335 = -2*u. Calculate the highest common factor of f and 6187.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (17 + -14 - -10) + (50 - 14)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-64)\/28 + 2 + 2958\/14?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 0 - (16 - 5) - (-1 + 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -276294.3 in decreasing order.\nAnswer: -1, -5, -276294.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 9:51 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -77 - -171. Let d = 97 - n. Solve t + 2*t = 3*z + 9, 5*t + 4*z + d = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2))**(-21)*a**(-2\/15)\/(a\/(a**(-1\/5)\/a)))**13 assuming a is positive.\nAnswer: a**(637\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -7*w**2 + 1\/12*w**4 + 0*w**3 + 0*w - 1\/12*w**5 + 0. What is the second derivative of v(f) wrt f?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1689 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 6*a + 5*h - 5, 30*h - 129 = -73*a + 76*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + 21. Let m = -13 - -23. Suppose -5*g = m - y. Solve -g = -4*w + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 3:12 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.13, 11, 10\/157, -5, -3?\nAnswer: 10\/157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2514 and 2279.8.\nAnswer: -234.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1006 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 33, 5, 63, 0, -3 in increasing order.\nAnswer: -3, 0, 4, 5, 33, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/3)\/(5\/(-15)))\/(1\/(-3))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -2\/77 (b) -4 (c) 5 (d) 97575\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4197.839085 rounded to the nearest integer?\nAnswer: -4198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.4867 - 1.58473. What is q rounded to three dps?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 953 is divided by 188?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.1. Let u = 185.2 - 187. Let y = u - 0.2. What is the third smallest value in g, y, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 596524*o**2 + 88956641392*o - 1067565597888.\nAnswer: (o - 12)*(o + 298268)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -15*w - 1. Let b be l(-1). Suppose -5*a + t = -b, t + 10 = 3*a - 0*a. Factor -4*j**2 + j**a + j**2 + 2.\nAnswer: -2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 539 = 2*q - 21. Suppose -9*g = -4*g - q. What is the greatest common factor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 - -0.93. Let w = -0.6 + u. Let p = -9 - -26\/3. What is the closest to 2\/7 in w, p, -4\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-4))\/((-18)\/120). Let q = i - -9. Which is greater: q or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 289772.7m?\nAnswer: 289772700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -19*q + 20*q + 269, 4*h - 3*q - 1080 = 0. What is the remainder when h is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1564, 3146, 4740, 6346, 7964, 9594, 11236?\n\"Answer: 6*a**2 + 1564*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 8*k**2 + k - 3. Let l be g(8). Suppose 6 = 4*x + 26, -4*u - 6 = -2*x. Let o = 0.1 + 0.9. Put l, u, o in descending order.\nAnswer: l, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 5*y + 228 - 224 = 0, -5*q - 2*y + 17 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 735 - 44*j**3 - 734 + 61*j**2 - 62*j**2 to q*j**2 + h*j**3 + d*j + z and give h.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1758887 bigger than -1758887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2875 divide 141172533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuagwggwwfa. What is prob of picking 2 g?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 4:45 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.4 + 17.1. Let j = 37 - p. What is j rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801502 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, u: 5}. Give prob of picking 2 d and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2074, 4139, 6198, 8251, 10298, 12339, 14374?\nAnswer: 16403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -34459 times 5\nAnswer: -172295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 11*h**5\/10 + h**4\/12 + 103*h**2 - 3*h + 30. What is the third derivative of q(m) wrt m?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 13*w - 10. Let n be 3\/(2\/2) + -13. Let v be x(n). What is the greatest common divisor of 8 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 129*b**4\/4 + 236*b**3\/3 - 85. What is the third derivative of i(l) wrt l?\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 691467, 691651, 691835?\n\"Answer: 184*v + 691283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 12 and -30 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/710 - 123\/137740. Is c at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k + 1. Let w be -1*1*(-1 - -5). Let s be d(w). What are the prime factors of 2\/(s\/33 - -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 21. Suppose -2*q - n = q. Is q\/(-4) + 6345\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -182426 (base 9) to base 7\nAnswer: -651306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -397, -792, -1187, -1582, -1977?\n\"Answer: -395*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16713002297\/1346723 + 52028262436178005\/5185195989736. Let d = l + 1\/1925116. Let j = 2372 + d. What is the common denominator of j and -149\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/21 or -1?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*c = 37, 3*c = -3*l - c - 29. Let d be 4\/(-1) + 7 + l. Let s be 12\/8*d\/(-6). Solve 0 = -s*w - 1 - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-1134)\/84)\/((-2)\/(-2)))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 5:27 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 7. Suppose -z*d - 3*d = -3*r - 365, -r = -3*d + 215. Suppose n = 3*n - d. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -31 + 0*q - 2*q - 2*q - 3*q. Let z be j(-5). Solve -f - f = -z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5705\/(-10) - 4)\/(-6). Let z = -100 + u. Is 0 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -656*s + 891. Calculate the remainder when b(-17) is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 1)*(4 - 1). Suppose -b*j + 49 = -2*v - 28, -4 = 4*v. Solve -2*g + j = 5*o, 2 = 2*o - 5*g + 21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: d4 (base 16) to base 3\nAnswer: 21212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from zjz.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 3. Let f be ((-1442)\/98 + 15)\/(9\/14). What is the second biggest value in k, f, 1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5537?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16 - -16)\/(-1 + 2))\/(-1). Put y, 0.085, -2\/3 in descending order.\nAnswer: 0.085, y, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**6\/90 + v**5\/30 + v**4\/24 + 2*v**3\/3 - 2*v**2. Let a(j) be the first derivative of z(j). Let a(c) = 0. What is c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -471\/7 in -0.2, 1, 7\/19, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1492 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -5, -0.34, 0.1, 5\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124030 - 150?\nAnswer: 123440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**3\/3 + 36*x**2 - 362*x\/3 - 380 = 0.\nAnswer: -57, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + 0*p + 0*p - 3 - 2*p + 3 + (-p - 3 + 3)*(-1 + 5 - 2) - 6*p + 3*p + p - p - 3*p + 3*p + 2*p - 4*p - p - 1 + 5*p + 1 + 0*p - 2*p + p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - a - 3)*(-2*a - a + 4*a) - 8415870*a - 21495*a**2 + 8415870*a.\nAnswer: -21496*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 313770.3 and -2020033.\nAnswer: -1706262.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1458 + 972 - 2430 + 5*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-10) + 1)*(-48600)\/(-32076). Factor -22\/9 + k*v - 8\/9*v**2.\nAnswer: -2*(v - 1)*(4*v - 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 200 or 194?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4025\/3 + 1341. Let o be (2\/(-4))\/(111\/6). Is o not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*a**3*j**2 + 6015956*a**2*j**2 + 11093*a*j**2 - 3274*a*j wrt a?\nAnswer: 474*a*j**2 + 12031912*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14878, -13436, -11974, -10486, -8966, -7408, -5806?\n\"Answer: s**3 + 4*s**2 + 1423*s - 16306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -843 (c) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210112 + -20113?\nAnswer: -230231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/25 of a millennium?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*f, -4*s + f = 3*f. Let g = 3 + s. Let n = 2\/3 - 0. Which is the biggest value? (a) 1\/2 (b) g (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 956212.8 millennia in months?\nAnswer: 11474553600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 3. Let a(r) = -2 - r - 6*r**2 + r**w + 6*r + r. Let s be a(5). Let i(k) = 2*k - 4. Determine i(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1334b (base 13) to base 12.\nAnswer: 1880a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 6451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 2. Let q(n) = 9*n + 6. Let x(m) = -8*o(m) - 3*q(m). Let b be x(-4). Find the second derivative of 2*r + 18*r - 20*r**4 + b*r**4 wrt r.\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 720.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*j*p + 105*a**2*j - 3*a*j*p + 97*j*p - 45*p wrt a.\nAnswer: 2*a*j*p + 210*a*j - 3*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2591150*-28\nAnswer: -72552200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 42691405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -410 + 412. Solve 8\/5*s - 8\/5 - 2\/5*s**h = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 1)*(2*l + 0*l + l) + 4*l + 1 - 1 as n + y*l and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3*x + 36*i**3 - i**2*x - 56*i*x wrt i?\nAnswer: 6*i*x + 216*i - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(19\/(475\/(-10)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 + 5*g + 9\/2.\nAnswer: (g + 1)*(g + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in decades?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/(79332\/48080)\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 309, 507, 695, 867, 1017, 1139?\nAnswer: 1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-3))\/((-6)\/9). Solve o = -r + 4*o + j, -3*o + 8 = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 956 + -1349. Let l = z - -665. Is 34 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by -674.\nAnswer: -31\/674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 12 - 19 + 0*l**2 + 10*l. Let w be k(-11). Suppose -w*p - 183 = -5*j + 74, -151 = -3*j + 4*p. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kykyy. What is prob of sequence yk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 8 + 356305*a - 356307*a.\nAnswer: -2*a - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*-0.22477\nAnswer: -0.0157339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 89246220 and 15540.\nAnswer: 89246220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52039827 divided by -6.\nAnswer: -17346609\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1 + sqrt(7) + 3)**2 + (sqrt(448) + -2 - sqrt(7))).\nAnswer: -11*sqrt(7) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 30. Suppose -8 = -3*q - l. Solve -4*p = 16, q*p + 2*p = 5*t - 21 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -49573, -49677, -49819, -50017, -50289, -50653?\n\"Answer: -3*n**3 - n**2 - 80*n - 49489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -117, -5, -1.1, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4812 and 1051098393?\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-150)*120\/(-16)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1111534479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.2 - 39063734.\nAnswer: -39063738.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-68*b + 925*b + 2 - 60*b)*(-3*b - b + 2*b) as g*b + a*b**2 + y and give a.\nAnswer: -1594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100312686*z**3 + 3847690*z**2 - 16 wrt z?\nAnswer: -601876116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-209619)\/(-18) + 11 - (-1)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398*d - 149*d - 3609580 = 3040712. List the prime factors of d.\nAnswer: 2, 11, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 + -66. Let b be (-55)\/22*g\/10. What is the highest common divisor of b and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 9. Let b be 0*d\/(-6) - 140. Let q = b + 205. Calculate the greatest common factor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 9:06 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -143*b*u - 219*u wrt b?\nAnswer: -143*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19094*c**3 + 287872*c**2 wrt c.\nAnswer: 114564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**4 + 76*h**3 + 551*h**2 + 476*h = 0.\nAnswer: -68, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -3*u - 63, 3342*u - 3337*u = -4*w - 53 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + t = -119, 0*t + 1 = -t. Round l to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, z: 6, p: 7, c: 4, o: 1}. What is prob of sequence pokc?\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-36) - (-42)\/27. Let s(m) = -m - 1. Let t(v) = -5*v. Give u*s(l) - t(l).\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**6\/30 - 2*q**5\/15 + q**4\/6 + 11*q**2. Suppose w(u) = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -263*g**2 - 3*g + 3. Let r be c(-2). Round r to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.5 (c) -3 (d) 1.6 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(112) - (0 + sqrt(112)))**2 + sqrt(7) - ((sqrt(343)*-1)**2 - sqrt(343))).\nAnswer: -343 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 45716225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/13291660 and 11\/2658332.\nAnswer: 13291660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 4 (b) 0.112 (c) 4\/5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 63*c - 1467. Let p be t(24). Let d(r) = -9*r**2 - 4*r - 4. Let s(l) = 99*l**2 + 45*l + 45. Give p*d(m) + 4*s(m).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10847 > 10875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**3 + 0*u + 0*u + (-u**2 + u**2 + 2*u**2)*(-6*u + 2*u + 3*u) + 3*u**3 - 6*u**3 + 4*u**3 + (0*u + 0*u - 3*u**2)*(3*u + 0*u - 2*u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 705.4\nAnswer: 2821.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1500)\/(-3150)*1148\/(-615)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + c + 2. Let b be p(2). Let s(o) = -o**3 + 8*o**2 + o - 9. Let t be s(b). Let r(u) = 6*u**2 - u - 1. Give r(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2507 = -276*q + 990 + 8095 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313 - 1008 + 323 = -23*s - 211 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2287, -4511, -6733, -8953, -11171, -13387?\nAnswer: -15601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46511074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 7*x**2 + 10*x - 16. Let o be g(8). Let z be 3\/((-15)\/25 - o). Let c = -0.2 - -1.2. Put z, c, 23 in decreasing order.\nAnswer: 23, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11986308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6 + (-1404388)\/(-12). Let m = d + -227032. What is m rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-7)\/(-4) - 1. Let y = -2091\/7 - -299. What is the closest to y in 0.3, h, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 15) to base 12.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -17, -36, -71, -128, -213?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 2*s**2 + 46*s - 15. Determine r(7).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 56 - 16 + 2*t + 46 to h*t + n and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 683.7273 litres?\nAnswer: 683727.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 5*w)*(-60*w + 54*w + 31*w) to the form t*w + l + p*w**2 and give p.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359 = -289*b + 86*b - 250 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 8:13 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 69*s**2 + 2*s + 1. Does 24 divide m(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 6*s**2 - 8)*(0*s**2 + 0*s**2 - 3*s**2) + 1185*s**4 + 1292*s**4 - 273*s**4 as r*s**3 + p*s + u*s**2 + m + j*s**4 and give j.\nAnswer: 2222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4615 + -719935\/156. Find the common denominator of m and 95\/108.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -32*w. Suppose -3*g + 5*k + 45 = g, 3*g + 3*k = 0. Suppose 0 = 5*t + g*o, -3*t - o - 4 = -8. Let d(y) = -2*y**t - 2930 + 2930. What is r(d(n))?\nAnswer: 64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*n - 4*n. Let f(s) = s**2 + 9*s - 6. Let q be f(-10). Solve 2*d**3 - 1 - 4*d - d**q - d**3 - 6*d**2 - 5*d**n = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(66)*4*-5)\/(4*-1*sqrt(864)).\nAnswer: 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 88.52408ml?\nAnswer: 0.08852408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p + 32. Let i(x) = 2*x + 2. Determine 3*d(y) - i(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71196 - -4699073\/66. What is the common denominator of s and -20 - ((-48)\/(-18) + (-6896)\/264)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.98, 0.04, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 3:08 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85165 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -1)*(-1)\/(-7). Let n be (30\/(-4))\/(-5)*32\/(-84). What is the biggest value in 1, f, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 + 18*c. Let a(p) = -p. Let v(z) = -18*a(z) - s(z). Let i(q) = -2*q. Calculate v(i(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6648563.\nAnswer: 173, 38431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 424\/89 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8*s**2 + 6*s - s + 6*s**2 + 5. Let z(o) = o**2 - 2*o - 2. Let m(h) = -2*t(h) - 5*z(h). Let n(i) = -4*i**2 + 0*i**2 + 3*i**2. What is m(n(q))?\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = -4*x - 80, 32 = -13*x + 15*x - 3*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 992 - 987. Solve c = -n*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21083370 by 5.\nAnswer: 4216674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38547415 to the nearest integer?\nAnswer: 6209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -251 + 188. Let f = 85 + i. Calculate the remainder when 81 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 - -1.8. Let r = -375 - -374.7. Let v = z - r. Which is the biggest value? (a) 2\/3 (b) v (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - f**2 - 48*f + 1.\nAnswer: -f**2 - 48*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*j**4 - 49 - 8*j**4 + 18*j**4 wrt j.\nAnswer: 144*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v = -5*r + 256 + 54, 186 = 4*v + 3*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -13 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24267433 to the power of 1\/2, to the nearest integer?\nAnswer: 4926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 483 = 2*g, g - q - 1275 = -4*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/1298 and -19\/531?\nAnswer: 11682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 78.95055 millimeters?\nAnswer: 0.00007895055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70 - (-94 - 8)) + 27.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*g - 88*g - 78*g.\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*b + 4*b = -13, 0 = -2*h + 4*b + 2. Calculate the highest common divisor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*(11 + (-304)\/32)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 1 - 1 + (-2*k - 2 + 2)*(1 + 0 + 2) + (-3 - 2 + 7)*(3*k + 18*k + 3*k).\nAnswer: 41*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/24069276 and 203\/17192340?\nAnswer: 120346380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -20, -30, -40, -50?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33224 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**2. Let p(b) be the third derivative of -b**5\/12 + 5*b**4\/8 + 70*b**2. Let l(a) = a. Let y(n) = -15*l(n) + p(n). Determine s(y(h)).\nAnswer: 175*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2306 (base 11) to base 6.\nAnswer: 22011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3. Let v = -372 + 374. Let d(j) = -j - 4. Let i(o) = 0*o - 1 - o + 2. Determine v*i(c) + z*d(c).\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 217260255\nAnswer: 217260251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5166090 is divided by 1565?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 62029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 25*w**5 + 11990*w**4 + 1547175*w**3 + 25587710*w**2 - 38255900*w + 11109000 = 0.\nAnswer: -230, -21, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*b - 5*w, 3*w - 6*w - 19 = -4*b. Suppose p + 6 = -5*m, 10 = 3*p - 141*m + 142*m. What is the greatest common divisor of p and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1815602 (base 13) to base 3.\nAnswer: 112202012022202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-24)\/2 - -1. Suppose 8*p + 7 = -1. Let u = p + j. What is the remainder when u is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -217 - 1083. Let s = -264 - a. Which is bigger: s or -8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.1, -2\/19, -91, 23, 49, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40208?\nAnswer: 2, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*f**5 - 3*f**4 + 8490*f**3 - 20016289*f wrt f?\nAnswer: 220*f**3 - 36*f**2 + 50940*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**4\/12 + 4*c**3\/3 - 2*c**2. Let h = 105 + -111. What is b(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228 and 870.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60*a - 27*a - 16 - 31*a + 4*a + 2*a - a + (1 - 1 + 1)*(-2 + 2 - a).\nAnswer: 6*a - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**4\/2 + 6265*n**3\/2 - 37185*n**2\/2 - 280825*n\/2 + 155875 = 0. What is n?\nAnswer: -5, 1, 10, 1247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 - 7 - 12)*(2*v**3 - 2*v**3 - v**3) as q*v**3 + o*v**2 + l*v + m and give q.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(1 - 1 + o) + 19 - 9*o - 19.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -157*j**2. Let b(f) = -70965*f. Calculate b(h(q)).\nAnswer: 11141505*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = c + 24, 0 = 2*b - 3*b - c. Let y = -100 - -108. Suppose b*t + 200 = y*t. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x*x\/x**(1\/12)))\/x*x*x)\/x*x*x*x**7)**35)**49 assuming x is positive.\nAnswer: x**(166355\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -2. Calculate the smallest common multiple of x and (-179622)\/(-714) + (-550)\/154.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -8331635.\nAnswer: 2499490.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-884)\/(-1768)*4\/(-10)*60\/(-336)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 986, 242, -504, -1252, -2002, -2754?\nAnswer: -3508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + 2. Let i be z - (0 + (-3)\/(-3)). Let f(l) = -l - 2. Let d(t) = 5*t + 9. Let y(s) = i*f(s) + 2*d(s). Let j(v) = 3*v. Calculate j(y(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-52)*-16 + 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**2*o**2*y**2 + 22*d**2*o**2 + 227*d**2*o*y**3 - 38*d**2*y**2 + 4*o**2*y**3 wrt y?\nAnswer: 1362*d**2*o + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92968 or 1\/26?\nAnswer: -92968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 21*d - 68. Let v be z(16). What is the first derivative of -1 - v - 16 + 5 - 36*a wrt a?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475*a - 238*a = 185*a + 1877460. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -2*f - 5*f. Let d be (-6)\/f + 312\/22. Suppose d = -a + 1. Sort a, 5, -5 in ascending order.\nAnswer: a, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/(1\/8). Suppose 0*g + g - 12 = 0. Calculate the highest common divisor of m and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3690.9 less than -0.5?\nAnswer: 3690.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytslyyysstyts. What is prob of picking 1 y and 2 s?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1))\/((r*r\/r**(-5))\/r)*r**(2\/7)\/((r**0\/r)\/r)*((r**(-2\/9))**(-22))**(-1\/3) assuming r is positive.\nAnswer: r**(-1010\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*c**2 - 100*c**2 + 257*c**2 - 43*c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 570 = o - 550, 202*l - 1620 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3728 + 3727. Let z = 3 + -2. What is the second smallest value in -0.26, 0.5, o, z?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 41*k**2 - 66*k - 194. Let p be i(-3). Let c = 455 - p. What is the greatest common factor of c and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2 + g - 7. Let q = 53 + -45. Let b(j) = -9*j**2 - 2*j + 11. Calculate q*t(d) + 5*b(d).\nAnswer: 3*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*a**4 - 68*a**3 - 174*a**2 wrt a.\nAnswer: -264*a - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 42*q**2 + q + 2. Let x be u(42). Calculate the highest common factor of x and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 318698014?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 5, 20, 16, -0.2 in decreasing order.\nAnswer: 20, 16, 5, 2, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d**2 + 14215*d - 141257. Give v(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-14))\/(4492020\/279090)?\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o + 13*o - 29 = 4*s, -3*o + 15 - 104 = 10*s for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94.2 + 103. Let g = w - 9. Which is the nearest to g? (a) -1 (b) -2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + r = -5. Let p be -5 - -2 - (-1 - 2*-1). Let m be (-32)\/(-11) + 0 + p. Which is smaller: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1003, 3917, 8767, 15547, 24251, 34873, 47407, 61847?\n\"Answer: -v**3 + 974*v**2 - v + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-21 - 10 - -31).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22538\/1173 - -336\/17. Calculate the common denominator of l and (0 - (-242)\/108)\/(180\/(-540)).\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37382*b**2*r - 3*b**2 - 18*r - 1992 wrt b.\nAnswer: -74764*b*r - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 432 - 270 - (1 + 93).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2*m + 334069*i**2 - 44202809*i*m wrt i?\nAnswer: -4*m + 668138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1680 divided by 105?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*t = 40, -2*o - 5*t = -4*t + 17. Which is the second biggest value? (a) -0.2 (b) -5 (c) 5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, k: 12, t: 3}. Give prob of picking 3 t and 1 k.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -18990.49 take away 30008793?\nAnswer: -30027783.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 462 and 233178.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26085 less than -0.3?\nAnswer: 26084.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 92*z**2 + z + 2. Let q be u(-1). Suppose -3*w + q = 30. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618842759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bebcblbbl. Give prob of sequence cbec.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7971, 7953, 7935, 7917, 7899?\n\"Answer: -18*t + 7989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2158*w**2 - 6*w - 2943. Let i(k) = 2160*k**2 - 7*k - 2916. Let m(x) = -7*h(x) + 6*i(x). Differentiate m(u) with respect to u.\nAnswer: -4292*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-800)\/6000)\/(136\/153).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*x + a, -5*a + 10 = 0. Calculate the lowest common multiple of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 2*d + 8. Let x(w) = -2*w**3 - 10*w**2 + 4*w + 17. Let k be x(-5). Calculate a(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 3\/7 (b) -0.5 (c) -0.349 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 7*m**2 + 3. Let o(t) = -2*t + 5. Let r be o(6). Let v be j(r). What is the derivative of 9*q**v - 9*q**3 - 1 + 4*q**4 wrt q?\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 75*t - 108. What is the remainder when 208 is divided by w(2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 4*s - s)*(4*s**3 - 4*s**3 - 2*s**4) + (-4*s**2 + s**3 + 4*s**2)*(2*s**2 + s**2 - 2*s**2) - 65*s**3 + 18*s**5 + 65*s**3.\nAnswer: 23*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 43 + 17 - 6 - 4*c. Let l be f(8). Let k be 2\/(-5) - (0 - l\/5). Solve -k*q - 9 = 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/(-15))\/((-3)\/(-1755)) a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 17*w**2 - 8*w - 5. Let x(p) = -6*p**2 + 3*p + 2. Let r(j) = -3*u(j) - 8*x(j). Differentiate r(h) with respect to h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 702 + -2 - 1. Suppose y + 11*y - 60 = 0. Suppose 3*n + q = 718, 2*q - i - 496 = -y*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3851610 + -2425610. Round l to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 14 - -15 - (-100)\/(-8)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6828538 centimeters to meters.\nAnswer: 0.006828538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -37, -0.8, 3\/5, -35\/2 in ascending order.\nAnswer: -37, -35\/2, -0.8, 0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 181537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**4\/12 + f**3 + 14*f**2 + 2*f + 150. Calculate h(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -34b2b9a?\nAnswer: -34b2b9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*l**2*y**2 + l**2*y - 23*l**2 - 3*l*y**2 + 7 wrt y.\nAnswer: -16*l**2*y + l**2 - 6*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -13*q**2 - 4*q + 8. Let u be y(5). Let p = u + 609. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*(((p\/(p*p**(6\/13)))\/p)\/p*p)\/p)\/(p**(2\/5))**(-15) assuming p is positive.\nAnswer: p**(59\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4320848 and 224?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/3)\/30*4\/((-24)\/(-306)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36432, 72872, 109312, 145752, 182192, 218632?\nAnswer: 255072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3676309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*x = 8*x - 22*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0718 times 96\nAnswer: 6.8928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 12 = 2*c, -c - 8*v + 5*v - 8 = 0. What is the remainder when 46 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 209723.\nAnswer: 6\/209723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -72 + 147*c + 5*c**2 - 3*c**2 + 2*c**4 - c**3 - 149*c - 4*c**2 - c**3 in the form n*c**4 + y*c**2 + f*c**3 + z*c + x and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3631 is divided by 3330?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3610, -7204, -10798?\n\"Answer: -3594*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 0*w**4 + 0*w**3 - 17 - 17\/5*w**5 - 17*w + 0*w**2. Differentiate p(s) with respect to s.\nAnswer: -68*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/604142 and -121\/713986.\nAnswer: 7853846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-4)\/((-32)\/20). Let v(j) = j**3 - 3*j**2 - 2*j. Let g be v(c). Suppose f - n + 7 = 25, -2*f + g = -3*n. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1267988 is divided by 1267956?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**4 + 7*d**3 - 2*d**2 + 4274*d - 1047228?\nAnswer: -8*d**3 + 21*d**2 - 4*d + 4274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16454, -32471, -48490, -64511, -80534, -96559?\n\"Answer: -r**2 - 16014*r - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17074.\nAnswer: 2, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 1:09 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, l: 3, g: 2, y: 1, i: 4}. What is prob of picking 2 l and 1 y?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 c, and 1 e when three letters picked without replacement from celc?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (43604\/10)\/((-42)\/(-5) + -10 + 2).\nAnswer: 11, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6922887*s**5 - 3*s + 658310 wrt s.\nAnswer: 138457740*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 5841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + c**3 - 2*c**3 + (-2*c - 14 + 14)*(3*c**2 - 2*c**2 + 0*c**2) + 4*c**3 + c**3 + c**3 as q*c**2 + i + u*c + p*c**3 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 4 - 3 - z**2 + 2 + 3 + z. Calculate r(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 20, 4*l + 2*m + 2*m - 816 = 0. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 3*m. Let l be a(3). Let n = -5 + l. What is the common denominator of (107\/(-2))\/(n + 2) and -36\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 237 + -237.04. Sort 2, i, 7.\nAnswer: i, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468)*1*3 + -3 - (-4 + (-5 + sqrt(468) + 5*sqrt(468))**2).\nAnswer: -16872 + 378*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 3, -11*j - 2*s + 22 = -9*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39\/61 or 0.106?\nAnswer: 39\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g*o*t**3 + 64*g*o*t - g*t**3 - 1278*o*t**3 + 2*o*t wrt g?\nAnswer: -o*t**3 + 64*o*t - t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 4. Let k(m) be the third derivative of -m**5\/60 + m**4\/24 + m**3\/6 - 17*m**2. Let g(a) = 3*k(a) + u(a). Determine g(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3642 - -3645. Solve -z - 8 = -y*w, 4*w - 18 = 3*z - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7039 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 828*o**2 - 2345730*o + 2344900.\nAnswer: 2*(o - 895)*(o - 1)*(o + 1310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 3*m - 2. Let c be r(4). Let t(x) = 15*x**2 + 4*x + 0*x + 5 - 9*x**2 + x. Let v(q) = -4 - 4*q**2 + 4 - 6 - 3*q**2 - 6*q. Give c*t(h) - 5*v(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*q - 43*q + 45 = 70*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-4)*(-2)\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(-3 + 1 - 3)*(0 + 0 + 2*v**2)*(-1 - 2 - 2)*(-7*v**2 - 6*v**2 - 5*v**2) to j + a*v**3 + x*v**2 + m*v**4 + q*v and give m.\nAnswer: -900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 261 - 249 = 3*h, -4*h = -2*c - 44. Let f(r) = -r**3 + 16*r**2 - 30*r + 8. Determine f(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405320 (base 7) to base 4.\nAnswer: 100313300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 149, 432, 853, 1418, 2133, 3004, 4037?\n\"Answer: i**3 + 63*i**2 + 87*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -37 - -54dbd2?\nAnswer: 54db9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -128*w - 2. Let i(j) = j**2 - 39*j + 1. What is -2*i(q) + k(q)?\nAnswer: -2*q**2 - 50*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -255281 divided by -5?\nAnswer: 255281\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 585003.5l?\nAnswer: 585003500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 826487277 a multiple of 1407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-8)\/4 + 1. What is the nearest to -2 in -2\/9, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*10\/165*(-88)\/(-8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*y + 8490. Let c = y + 11243\/4. Calculate the common denominator of c and 16\/13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 33 = 39 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 56 - 85 - 2*r + 141.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 586365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527 is divided by 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 + 6*p**2 + 4*p - 4. Let j be 20\/32*4*2. Let s(g) = -j*g + 5 + g**3 + 0*g + g**3 + 0 - 7*g**2. Let w(n) = 4*s(n) + 5*x(n). Factor w(q).\nAnswer: -2*q**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 11*i**6\/120 - 3*i**4\/4 + 20*i**3\/3 + 33. Let r(q) be the third derivative of k(q). Differentiate r(h) wrt h.\nAnswer: 66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 8*w - 115 = l, 0 = 3*w + 2*l + 80. Let k = 35 + w. Suppose -2*x + 221 + k = -4*c, 0 = -x + 3*c + 112. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110011222 (base 3) in base 9?\nAnswer: -13158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 472800.51 nanoseconds?\nAnswer: 0.000000000781746875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 18*t + 82. Give z(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 3*n. Let t be r(3). Factor -21*x**3 - 8*x**2 + 4*x**4 + 4 + t*x**4 + 21*x**3.\nAnswer: 4*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15 = -5*z, -11*k - 4*z + 33 = -6*k. Suppose -9*h = -k*h - 24. Let v(j) = -j + 6. Let r(s) = s - 1. Give h*r(x) + v(x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 - 88. Let b(f) be the first derivative of 0*f**4 + 3*f**2 - 7 + a*f**3 + 0*f + 3\/5*f**5. Find the second derivative of b(l) wrt l.\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.33053 to 2 decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2 + 17*n + 18 = 0.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**(-2\/27)\/t*t*t)\/t)**(-3) assuming t is positive.\nAnswer: t**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (10 + 10 + -8 + -19).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00041860651 to five dps.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000791745499 to 7 decimal places.\nAnswer: -0.0007917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 1160, 0.354, 0?\nAnswer: 1160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -65, -92, -169, -320, -569?\n\"Answer: -4*v**3 - v**2 + 4*v - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u. What is x(-26)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {t: 2, g: 1, r: 1, e: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 41 + (-7 - (-13 - 27 - -34)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40 and 0.1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 16*k + 3. Let l be j(16). Is l greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*i - 1179 = -11*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 101, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -11.03?\nAnswer: -22.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 6 (b) -2\/13 (c) -5 (d) 2 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0266 or 3?\nAnswer: -0.0266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 316275500*p**6 + 8183*p**2 + 563*p + 19 wrt p?\nAnswer: 37953060000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-11 + 5 + (6 - -19))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/16 + (-7)\/28 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-8)*x)\/((x\/x**(-1))\/x))\/(x*(x\/x**(-2\/3))\/x)**(-7))**(-4\/27) assuming x is positive.\nAnswer: x**(-44\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18602939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 198 = -4*f. Suppose 3*m - f*m + 120 = 0. Calculate the lowest common multiple of 446 and m.\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 6:37 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -65*r**3 - r**2 - 8*r - 9. What is the remainder when g(-2) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1593 - 1542. What is the remainder when 507 is divided by r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 39317, 5, 1?\nAnswer: 39317","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1723, -3432, -5135, -6832, -8523, -10208, -11887?\n\"Answer: 3*p**2 - 1718*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*j - 130*j = -46*j - 8211. What is the remainder when 51 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*x = 215*x + 108 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 937, 1903, 2895, 3913, 4957, 6027, 7123?\n\"Answer: 13*n**2 + 927*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19479, -40257, -63647, -90957, -123495, -162569, -209487?\nAnswer: -265557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-8\/3))**(-3\/4)\/(v**(2\/5)*v\/(v\/(v\/(v\/(v*v**7))))))**(-1\/11) assuming v is positive.\nAnswer: v**(13\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398 - 10 = 3*t. Let h = 168 + t. Suppose -3*r + 4*x + 36 = 0, -3*r - 5*x + 4 = -h. What is the highest common divisor of r and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 25*d - 70 = -30*d, 0 = -4*l + 7*d + 45 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**2\/2 + 179*c - 18. Does 21 divide h(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15335316 - 0?\nAnswer: -15335316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**10\/6048 - n**9\/3024 - n**8\/672 - 31*n**4\/24 - 45*n**2. Let h(g) be the second derivative of d(g). Solve h(y) = 0 for y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 484, -20 in descending order.\nAnswer: 484, 5, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2447 - 2422.22. What is v rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83109432*d**2*k**3*l**3 - 3*d**2*k**2*l - 10*d**2*k*l**2 + 2*d**2*k*l + 4*k**3*l**2 - 8*k**2*l**2 + 2*l**2 - 704 wrt l.\nAnswer: -498656592*d**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4868223165?\nAnswer: 3, 5, 13, 733, 11353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/33 and 55\/72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 31. Let w be j(-13). Let a be (-55580)\/w - 22\/99. Let m = a - -4653. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/7, -20, -2990, -29 in decreasing order.\nAnswer: 1\/7, -1, -20, -29, -2990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141 + -84. Let z = f + -52. Suppose -4*r - z*r = -45. Solve 2*h + 12 = -2*h - 4*g, r*h - 4*g + 15 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/12*1 - 1391\/(-52) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 441994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 565827*c + 5507054?\nAnswer: 565827","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1698*t. Let v(c) = 4*c. What is v(z(p))?\nAnswer: 6792*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 11*w + 15. Let c be q(-12). Suppose -c*r - 7 = -4*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3835815, 7671583, 11507351, 15343119, 19178887?\nAnswer: 23014655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s + 45 = 0. Let n be (-62)\/31 - (-11 + -1). Calculate the least common multiple of -138*(-7)\/126 - n\/6 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = -p. Let n(w) = -w**3 - 8*w**2 - 9. Let d be n(-8). Let k be d - (-2 + 1)*0. Put k, 4, p in ascending order.\nAnswer: k, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/3, -1, -0.2, 5\/103006 in descending order.\nAnswer: 1\/3, 5\/103006, -0.2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - j + 30. Suppose 11*l = 6*l + j. Suppose 31 = l*k - 51. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 432\/(-1224) + 314925018\/51. Round t to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 52 - (-7947 - -8008)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 8:46 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.498 + -0.202. Let n = x + 9. Put 0.4, 3\/7, n in decreasing order.\nAnswer: 3\/7, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - y**2 + y + 5. Let s(v) = 2*v**2 + 18 - 4*v + 13*v - v**2 + 2*v. Let t be s(-9). Let l be u(t). Solve 3 = -l*c + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 288345191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 - 48. Let b be ((-12)\/(-9))\/(4\/m). Suppose 3*u = -b*p + 3222, 3*u + p - 3212 = -0*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 829205\/10458 + -5\/1494. Let z = 79 - w. Which is the biggest value? (a) z (b) -20 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-5) - 177\/(-15). Let k = m + 18. Let g be (-18)\/(-15)*(8 + -3). What is the highest common divisor of g and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -25, -7, 71, 239, 527, 965, 1583?\nAnswer: 2411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 182*q**2 - 169*q**2 + 2*q + 646 + 350*q**2.\nAnswer: -q**2 + 646","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -409499, -408228, -406957, -405686, -404415?\n\"Answer: 1271*o - 410770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-12) + (-7)\/3 - -2. Suppose c = 5*x - 8 - 37. Suppose -x*y - 19 = -262. What is the remainder when y is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -p + 8*p. Suppose p*n + 2*m - 206 = 0, -2*n + 3*m + 206 = 2*m. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 5\/3*z**3 - 2 - 2*z**4 + 0*z**2 + 0*z. Find the third derivative of d(b) wrt b.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*t + 120 = -7*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -442*y - 2523. Calculate t(-6).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -108022.\nAnswer: -19\/108022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 3*x**2 + 3*x**3)*(2 - 7 + 3 - 4 + 3 + 3 + (2 - 2 + 2)*(-1 - 3 + 3) + 0 + 0 - 1)*(2*x + 6*x + x).\nAnswer: -81*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, -1, -2, 5, -4.\nAnswer: -62, -4, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/21 - (318\/(-42) + 4). Let w be o\/(-14) + (7 - (-808)\/(-112)). Sort w, 0, 0.5, -2\/11.\nAnswer: w, -2\/11, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (-320)\/(-4 + 9). Let k = x + 64. Suppose 2*n = n + k*s + 585, 3*n = 3*s + 1758. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101262 is divided by 25312?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(-2*sqrt(5)*-4).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000056074 rounded to 7 dps?\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from llahaalh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127*k**2 - 248*k**2 - 809*k**3 - 286*k**3 - 98*k**2 wrt k?\nAnswer: -6570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206618.333 take away 3346.41?\nAnswer: -209964.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or 2049\/151?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -35, -30, -21, -8?\n\"Answer: 2*c**2 - c - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1084*786027\nAnswer: -852053268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -2 - (5 + (-28 - -11 - -5) + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*z - 5*i - 10, 0 = -3*z - i + 4. Let y(b) = b**3 + b**2 - b - 5. Let j be y(0). Let m = j - -9. Solve -z + 7 = -m*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -114, -237, -398, -591?\nAnswer: -810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -8. Let p be (2 + g)*12\/(-5). Calculate the greatest common factor of 36 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - 231\/45 - (-1968)\/(-90). Let k = -23 - -16. Let g = 6.9 + k. Is w bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1aa842 (base 11) to base 12\nAnswer: -136275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4008960 by 16.\nAnswer: -250560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7567.99999452 - -7568. What is j rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -3, -14, 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 12476723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (4 - 3) - ((-32 - -50) + -52 - -31)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11465 - 11465.00000054075. Round t to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from {h: 3, p: 3, s: 1, x: 6, g: 1, j: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4\/8 + 55781*k**3\/8 - 27889*k**2\/4 - 13945*k = 0. What is k?\nAnswer: -1, 0, 2, 55780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.047 - 98.353. Let k = q + 128. Let a = k - 3.6. Is a greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -114081?\nAnswer: 1\/38027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36630, 73321, 110060, 146871, 183778, 220805, 257976, 295315?\nAnswer: 332846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 j, and 1 y when three letters picked without replacement from {d: 1, e: 1, j: 6, y: 1, b: 1, a: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31075031.8 less than -7?\nAnswer: -31075038.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i + 8624 = -551*i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -4, -57, 3 in ascending order.\nAnswer: -57, -4, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3582.7 - -3597.129. What is r rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4703 + 884. Let n = l - -148921\/39. Calculate the common denominator of -20\/3 and n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -246, 0.5, 0, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 166772077873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -27. What is the remainder when -2*-7*6\/4 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -1\/18*l**4 + 0*l**2 - 2\/9*l**3 + 0 + 2*l. Find s such that x(s) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2 - t**2 + t + 2*t + t + 1. Give c(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.107 + 0.107. Put -1, u, 0.05 in increasing order.\nAnswer: u, -1, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7507 - -11462. Let j = 142363\/36 - f. What is the common denominator of j and 13\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -253*c**2 - 250*c + 3.\nAnswer: -(c + 1)*(253*c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r. Let k(t) = -t + 18. Let b be k(13). Let s be b - (0 - -1) - 2. Let i(d) = 4*d - 1. What is s*i(z) - 9*q(z)?\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1472 (base 8) to base 14\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**2 - 3*t - 2. Let b(s) = 10*s - 14. What is 3*b(j) - 14*q(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 5:31 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-6 + -7 + 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 + 838*c**3 + 2 + c**2 - 1203*c**3 + 2*c**4 - 4*c**2 to p*c**3 + l + j*c**4 + s*c**2 + v*c and give p.\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/608)\/(3276\/(-672) + (-1)\/4 - -5).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1\/5 (b) 0.071 (c) -2\/5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*z + 35*z = 10*z - 16296 for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23741, -47478, -71215?\nAnswer: -94952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n - 709 = -781. Solve 0 = -n*h - 2*g - 24, 2*h - 11*g + 15*g = -36 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 4*d**2 - 3*d + 3. Let t be r(-3). Suppose 15 = -5*p + 5*y, t*p + 2*y - 4 = 6*p. Let n = p + 5. 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 the square root of 1923493273 to the nearest integer?\nAnswer: 43858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32007 is divided by 464.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 2*o**2 + 8 - 5 + 2*o**3 as c*o**3 + i*o + p*o**2 + t and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5544)\/(-240) - (27 - 8) - (2 - (1 + -3))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -308*w**4 + 2*w**3 - 4*w**2 - 109*w wrt w?\nAnswer: -7392*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p. Let h(x) = 0*x - x**3 + x + p*x**3 + x**2. Let a be h(0). Solve -2*y + 4*y = a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*k - 18, 0 = -3*f - 2*f - 4*k - 6. Let l(v) = -v + 2*v - f*v. Let j(r) = -r - 8*r**2 + r + 9*r**2. What is j(l(h))?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 158160019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 19510 + 19510 - 1896*w**2.\nAnswer: -1896*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 - 1252 = -3*z - h, 5*z + 3*h - 1916 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 13) to base 10.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -10 + (23 - (40 - 19))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -6 + (-7 + 5 + 6 - (29 + -31)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from aoa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51702574 divided by 321134?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d + 4*d + 2*d + (1 - 1 + 2)*(-d + 4*d - d) - 12*d - 1073 + 14*d + 1034 in the form i + y*d and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/8 - 1)*14. Let p = k - -10. Find the first derivative of 0*s + 5 - 2*s + 2*s - p*s**3 wrt s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -13\/6, 1422, -38 in descending order.\nAnswer: 1422, 1\/6, -13\/6, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*d, s - 2*d = -4*s - 23 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002990601089 to six dps.\nAnswer: -0.000299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1144 and 105\/259688?\nAnswer: 259688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002597 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-89760)\/(-1584)*12\/20*-1.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -2*v - 7 + 25, -9*w - 23*v - 21 = -18*v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.971 - -0.011. Let f = 108.46 + u. What is f rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -0.6136.\nAnswer: -0.06136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474745017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33970 - 20269. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110706719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/11)*k\/(((k\/(k\/(k\/(k**(-1\/2)\/k)))*k)\/k)\/k)*k**1*k\/k**3)\/((k**1\/k*k*k*k*k**(-2)\/k*k)\/(k**(1\/3)*k)**(-47)) assuming k is positive.\nAnswer: k**(-4223\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3477560.56 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 2*q = 15. Let j be 3 + 1 + (-18)\/9. Suppose q*g + c = -13, -3*c = -j*g + c - 4. What is the nearest to g in -4, 1, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57458 is divided by 57407.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(190) + -6*-1*sqrt(190)))\/((2*sqrt(490) - sqrt(490))*5)*-5)**2*-6.\nAnswer: -1824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + r + 1 = 0, 4*w + 12*r + 8 = 10*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11506*z - 12 = -11510*z, -5*k + 5*z + 5 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -140491165 and 1.4035.\nAnswer: -140491163.5965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 55?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r + 4*d, -d = 2*r - 7. Suppose -6*g + 5*x + 465 = -g, 0 = r*x + 16. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 303799 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3583229 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - y**2 + 1)*(-y - 2*y + 6*y)*(-6 + 0 + 2).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -131 + -238?\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a - 1. Let w be r(2). Let t(q) = q**2 - 10*q + 7. Let b be t(w). Let o = b + 10. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -3, -0.2, 11\/2458 in descending order.\nAnswer: 11\/2458, -0.01, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 + -121. Let c(v) = -12*v - 14. Is c(q) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 10 = 3*h, 2*i = -5*h - 35 - 7. What is the common denominator of -38 and i*((-172)\/(-264) + (-4)\/(-22))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*6\/(-9)*1. Suppose 3*n = 2 + a. Determine u so that 0*u**2 + u**3 - 2*u**3 - u**n = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2145208 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x - 3*x)*(-38*x - 38*x - 20*x).\nAnswer: 96*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1053 is divided by 356?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 times -2920?\nAnswer: -329960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 11282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 0.5, 3.5, 1, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 + -61. Let z be (-6)\/q + 2208\/(-17). Let x = 908\/7 + z. Which is the third biggest value? (a) -4 (b) x (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (977*a**3 - 687*a**3 + 1074*a**3)*(0*a - 2*a + a)*(2 - 2 + 2*a).\nAnswer: -2728*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**2 + 2*a - 5. Let b(s) = -7*s**2 - 2*s + 6. Let z(q) = -27*q + 78. Let c = 333 + -330. Let g be z(c). Give g*b(p) - 4*w(p).\nAnswer: -3*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q + 142 = -31*q - 2*w, 804*q + 49 = 803*q - w for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 451074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/3*1\/2*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93 + 52 - 241)*(0 + 0 + 1)*(-l**2 + 2*l**2 + 0*l**2).\nAnswer: -282*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 4\/5 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -787.63 + 792. Let k = 0.63 + v. Which is the smallest value? (a) 1 (b) -1\/2 (c) k (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 90\/20 - (1\/(-2) + 1). Let y be (m - -8)\/(-4) - -53. Let v = y + -43. Solve -3*n = -n - 2*z + 2, n + z - v = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 121103?\nAnswer: -121033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*l = -37*l + 770 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-2) + (-16)\/(-8). Let y(c) = -c**2 - 8*c. What is the units digit of y(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1193 - -1193.4. What is the closest to 1\/3 in l, -1, -3, 6.8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.6221628 rounded to one dp?\nAnswer: -24.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 9. Suppose 4*o = 2*v + i + 62, -3*v = -9. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (78\/(-2184)*70)\/(10\/(-1))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22, 4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-6) - 52\/3. Suppose 7*b + 103 = 19. Let u(i) = -3*i - 55. Let x be u(b). Is x at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40076381 to the nearest ten thousand.\nAnswer: 40080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkk when three letters picked without replacement from {p: 2, k: 2, v: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 81*l**2 - 4*l + 3. Let u be k(1). Let g be ((-174)\/(-15))\/(8\/u). What is the tens digit of g - (-2 + 10\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 n when three letters picked without replacement from {n: 7, q: 4, g: 3}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/1024 and 97\/1792?\nAnswer: 7168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*s - 3*w - 19, 3*w + 2 = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3388 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (33\/9 - 3)*3. Calculate the remainder when (12\/(-18))\/(d\/(-87)) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -13*x**2 - 75*x - 1. Determine r(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a. Let d(x) = -4665129*x**2. Calculate d(p(u)).\nAnswer: -4665129*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((r*r*r**38*r*r)\/r)))\/(r**(1\/15)\/r)*r**30\/((r**(7\/9)\/r*r)\/r) assuming r is positive.\nAnswer: r**(3247\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -197528, -395056, -592584, -790112, -987640?\n\"Answer: -197528*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f. Let a(m) be the first derivative of 2*m**3\/3 - 10*m - 22. Let q(j) be the first derivative of a(j). Determine b(q(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8 + (-9)\/4. Let p be ((-2)\/20)\/(2\/26). Let y = 4\/5 + p. Sort y, l, 0.2 in increasing order.\nAnswer: l, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67201 and 220966?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 0*n - n - 2 + 0*n. Let u be g(-6). Let r(p) = -3*p**2 - 14*p + 2. Let q(h) = 2*h**2 + 12*h - 1. Let j(d) = 5*q(d) + 4*r(d). What is j(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36237\/20 - -7821\/4. Let h be 427\/3 + (-2)\/(-3). Let b = h - n. What is the closest to -0.1 in b, 2\/9, 3\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 4*p - 3. Let w be n(1). Suppose -w*l - l = 4*r - 19, -r = 4*l - 34. Solve 35 = l*b - 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z = -23*z + 148. Let s = z - -42. Solve s*n + 15 = -5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1809, -2185, -2559, -2931?\n\"Answer: w**2 - 379*w - 1431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471457006.\nAnswer: 2, 235728503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -18.6. Let f = 7 + -7.3. Which is the biggest value? (a) f (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 616\/52 - (-6)\/39. Let u = 0 - y. Let j = u - -21. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -1251 (c) -5\/6 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/13)\/(19\/646)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/(-10))\/((-2)\/10))\/1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 70468801 and -1617.2171.\nAnswer: 70467183.7829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -11. Let d be (3\/2)\/((-42)\/56). Which is the nearest to d? (a) r (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 18 = 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 928881931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -0.0241\nAnswer: -0.01446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 99*p*r**3*z**2 + p*r**3 + 236*p*r*z**2 - 2*r**3 + 1255*r**2 with respect to z.\nAnswer: 198*p*r**3*z + 472*p*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (12 + (-682)\/55)*15\/9\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 11:08 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**4\/4 - w**3 - 2*w - 6. Calculate the least common multiple of 12 and p(4).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 41*r = -8*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32233303 (base 4) in base 15?\nAnswer: -12d6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*c - 16 = -74*c, 0 = 3*n + 3*c - 45 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3) + 2 + 3 + 5))**2.\nAnswer: 20*sqrt(3) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-19)*m)**33*m**(-2\/157)\/(m**(-7\/6)*m))**(3\/5) assuming m is positive.\nAnswer: m**(-559403\/1570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.01 - 2488?\nAnswer: -2463.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20008139*l**2*m + 2*l**2 - 22*l*m - l + 3*m + 8568 wrt l.\nAnswer: -40016278*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 20*y**3 - y**2 + y. Give f(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 7\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1\/17, 3, -1.\nAnswer: -1, -1\/17, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 45\/16 in increasing order.\nAnswer: -4, 45\/16, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**6\/120 + o**4\/12 - 2*o**2. Find the second derivative of q(m) wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 5. Let m(n) = n + 3 + 3*n**2 + 2*n + w*n. Is m(-3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 10, 16, 18, 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*v - 89*v + 3*v**2 - 85*v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-4 - -2)*-10. Suppose -4*f + 29 = x*n, -28 = -5*n - 4*f + f. Suppose 0 = -n*b + b + 20. What is the highest common divisor of b and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42679 and 59241?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8515179 and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 35 = -4*l, 3*l = 3*t - t - 25. Let i be (1 - 2) + t - 2. Solve 0 = 2*n - 4*q + 12, 2*n + q + 0*q = -i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 7 - 43 = 0. Is 4 a factor of (-6)\/(-3) + n + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 3. Let u be m(5). Let x = u + 12. Let g be 3\/(0 - -1) - 0. Solve x = -a + g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-7)\/(-56)*4\/5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-10\/7)\/(h\/h**22))**(2\/17) assuming h is positive.\nAnswer: h**(274\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 11123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**5 - 372*m**4 - 10101*m**3 + 63642*m**2 + 613188*m + 1024920 = 0.\nAnswer: -26, -3, 10, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 2. Let w be (-10 + p)*(-1)\/(-30). What is the smallest value in 0.12, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from bmjjjebbjjgmjbbejgge?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12356715 and 822.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 24 - 8)*(212 - 38*z - 212)*(0 - 2 + 1).\nAnswer: -988*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (274 + 480 + 184 + 219 - 291)*(-3*k**3 + 10 - 10) in the form u + s*k + j*k**2 + r*k**3 and give r.\nAnswer: -2598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5724 = -5750. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3. Let c = 1511 + -1513. Let h = g - c. Solve -25 = h*u - 5*o, 4*o = 6*u - 3*u + 23 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 226*k**2 - 18*k + 3*k + 8*k + 8*k. What are the prime factors of g(-1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/(n*n**2\/n*n)))*n**11)\/(n\/((n*n**(-5)*n*n)\/n))**(-25))**(-4\/7) assuming n is positive.\nAnswer: n**(-436\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 40, 242, 780, 1822, 3536, 6090, 9652, 14390?\n\"Answer: 28*v**3 + 6*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 1:22 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2024 is divided by 108?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.1, 0.09, 5, 5\/3, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*s - 3*v - 4, -20 = -4*s + v. Solve -5*z + 4 = s*h, 5*z - 1 = -h + z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4\/2 + 12*c**3 + 42*c**2 + 40*c = 0. What is c?\nAnswer: -20, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 21153.19 to the nearest one thousand.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, m: 2, d: 2, p: 1}. What is prob of picking 2 m and 1 k?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144 + 503*j - 44 - 47 - 53 to the form x*j + g and give x.\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2763259 or -2763265?\nAnswer: -2763265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, j: 1, w: 1, l: 4, x: 1}. Give prob of sequence lwj.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26301?\nAnswer: 3, 11, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 8*d**2 - 11*d + 32. Let a be y(9). Solve -n - 5*s + 19 = 0, 0 = 5*n - 3*n - 3*s + a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jdzlyjuy. What is prob of sequence uyz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w**2 + 3*w - 4. Let b(p) = -8*p + 4 + 3 - 7*p**2 + 4 - 10*p**2. Let d(n) = -3*b(n) - 8*k(n). What is the derivative of d(s) wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9188626?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10190, -40813, -91854, -163313, -255190, -367485, -500198?\n\"Answer: -10209*q**2 + 4*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 4.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 64043575 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27779020 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-2 - -1)*2). Suppose -3*s + 6 = -r*s. Find the second derivative of -c + 3*c + 2*c**s - 3*c wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59995043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 10*h - 11*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 + 0*m**3 + 3*m**3 + (4*m**2 - 3*m**2 + 2*m**2)*(557*m - m - 165*m).\nAnswer: 1174*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = -3*x, 5*y + x = 29. Let u(z) = -6*z + y + 2*z - z. Let c(g) = g**3 + g - 1. Let a(t) = 6*c(t) + u(t). Find the second derivative of a(b) wrt b.\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -42*s**2 + 2*s + 10. Let q(d) = -3*d**2 + 2*d. Let t(j) = 5*j**2 + 7*j - 4. Let c(y) = 4*q(y) - t(y). Determine -12*c(v) + 5*g(v).\nAnswer: -6*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 5. Let k = -2.2 - v. Let q = -0.5 - k. Which is the third biggest value? (a) 0.4 (b) -5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5557 - 51.5557. Which is the second biggest value? (a) -5 (b) 2 (c) n (d) 2\/3 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -3, 2, -1, -603, 5 in descending order.\nAnswer: 16, 5, 2, -1, -3, -603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5395)\/(-52))\/(5135\/104). Is k at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + 2 + sqrt(539) + ((sqrt(528)*1)\/sqrt(12))\/(sqrt(64)*1).\nAnswer: 2 + 29*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/13*(-5 + 0). Suppose 3*q = -6*b + 2*b + 79, w*b - 83 = -3*q. What is the greatest common factor of q and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7710, -7980, -8216, -8400, -8514, -8540, -8460?\n\"Answer: 3*p**3 - p**2 - 288*p - 7424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 183027?\nAnswer: 2013297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*(-5*(1 + sqrt(252)) - 2*1*sqrt(252) - 6*(sqrt(252) + 4*-2*sqrt(252)))**2)*-5.\nAnswer: -4630870 + 31500*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5*n - 54, 4*h - 3*n - 132 = -4*n. Calculate the remainder when h is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.043 - -0.043092. What is a rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(78) - sqrt(78))*3 - sqrt(78)*3*-3)\/(-2*sqrt(96)*-3 + 1*(2*sqrt(96) + sqrt(96)) + sqrt(96)) + -5)**2.\nAnswer: 3*sqrt(13)\/4 + 40117\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7034 + 62.51.\nAnswer: 63.2134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, -55, -99, -143, -187?\n\"Answer: -44*f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 5:18 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - 15*i + 23. Give d(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 333 and 4365519?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5443688094?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s - 2*s + 2*s)*(-26 + 18 - 18) as a*s + n and give a.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 10*m + m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -360911*t**4 + 13*t - 22234970?\nAnswer: -1443644*t**3 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/40)\/((18\/4)\/3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 4 - -7) + 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -91808, -367270, -826386, -1469156, -2295580, -3305658?\n\"Answer: -91827*n**2 + 19*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6*g - 15*g + 15*g**2 + 7*g + 4 + g**3 - 18*g. Let p be n(-26). What is p rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1, 1203, 2\/8477, -0.2?\nAnswer: 2\/8477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5715 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5*-2.001\nAnswer: -10.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 6*v**2 - 11*v + 4. Let m be g(4). Let i be -176 + 171 + (0 - (-1 + m)). Solve 2*d - 4 = 3*l + 4, -12 = -4*d + i*l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2208 times 2.785\nAnswer: -6149.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 95541 = g, 4*g - 107465 = 5*o + 274754. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19557.268 rounded to the nearest 100?\nAnswer: -19600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 + -58. What is the remainder when 59 is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140592 is divided by 46.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -27*(24\/18 - 2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45703887, -45703884, -45703881, -45703878, -45703875?\nAnswer: -45703872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 - 2 + 2 + (0 + 0 + x**3)*(-2*x + 3*x - 5*x) + 0*x**4 - x**4 + 2*x**4 - 429*x**4 - 723 + 723 as i*x**2 + f*x**3 + c*x**4 + w*x + a and give c.\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3232913 and -6\/633251.\nAnswer: 61425347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 1024.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -36 + -13 - (129 - 119)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -143 - -146. Let a be ((2 - 2)\/(-1))\/(-2). Solve -5*w + y + 12 = a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 97 - 43 = 0. Suppose -5*p - 2*p - w = 0. Is 278\/p*2*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x + 12. Let m be z(23). Suppose -u + 10 = 2*w - 121, -w - 2*u + m = 0. Let k = w - 33. Calculate the greatest common factor of 14 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from {q: 2, b: 1, y: 1, x: 1, n: 1, p: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 36, 186, -1.18?\nAnswer: -1.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 = d. Let l be d - (3 - (-4)\/(-1)). Find the third derivative of -2*r**l + 0*r**6 + 4*r**6 - 2*r**6 wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 941502 + 0.5.\nAnswer: 941502.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-288)\/(-8) - 0 - 0 and 96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/8 - 10\/(-4). Suppose m*p - 3*p = 8. Suppose -p*l + 1859 = 3*l. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-15))\/((-42)\/105). Is -1 + -2 - (-857 - 5 - l) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 22) + (-120 - -129)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -527*p**3\/6 - 10*p - 35. Let b(d) = 4*d**2. Give z(b(m)).\nAnswer: -2108*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2 + 2*a - 7*a**3 + 1 - a**2 + 0. Let q(f) = f + 6. Let h be q(-3). Let y = h - 2. Give r(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-30)*g**(-5) assuming g is positive.\nAnswer: g**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16, -30, -54, -94, -156, -246, -370?\n\"Answer: -u**3 + u**2 - 10*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*p + 10. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 3*s**2 - 2*s + 1. Let x be y(1). Let f be ((0 - x) + -9)*(-7)\/14. Let w = -0.7 + 0.4. Which is the nearest to -0.1? (a) f (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189556 is divided by 185076.\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 70577 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: Solve -2*h - 25 = -5*w, -21*h + 18*h - 15 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7682566*w**3 - 2*w**2 - 352656*w wrt w.\nAnswer: -46095396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/12 and (-169)\/(-90) + ((-108)\/30)\/(-9).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 3 + 13 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**17*(m\/(m\/m**(1\/10)))\/(m**(-4)*m))**(-2\/11) assuming m is positive.\nAnswer: m**(-201\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 0.443.\nAnswer: -5.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**(-4)\/(h**(-13)\/h*h*h**(5\/3)))**27 assuming h is positive.\nAnswer: h**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**7\/42 + 2*g**6\/15 + 7*g**5\/5 + 8*g**4\/3 + 705*g. Factor t(a).\nAnswer: -a**2*(a - 8)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 63*a - 456. Give k(0).\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99 * -9.8.\nAnswer: -970.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -24. Suppose -o = -4*c - 4*g, -c = 4*c + 4*g - 21. Is (98 + 1 + -2)*c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/9 - 1370*g**2\/3 - 16466*g\/9 - 4118\/3.\nAnswer: 2*(g - 2059)*(g + 1)*(g + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 563966017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.71994 milligrams in tonnes?\nAnswer: 0.00000000571994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -10*d + 66. Let k = 59 + -52. Let n be c(k). Let u = -0.1 + -1.9. What is the biggest value in -1, n, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9671068 - 13*h**2 + 9671068 + 12*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 32*p**2 - 19*p + 38. Suppose 0 = 63*i - 55*i - 248. Let u be w(i). Suppose 2*l + 106 = j + 12, -5*j - 2*l + u = 0. Is j a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22093\/425 or -53?\nAnswer: -22093\/425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + a = -10. Suppose -4*c + 3*c - 3 = 4*i, -4*c + 53 = 3*i. Solve -c - 3 = a*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160468361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/8232 and -57\/2.\nAnswer: 8232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9444 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1871 + -720. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17053853, -17053836, -17053819?\n\"Answer: 17*r - 17053870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 964909.6 tonnes?\nAnswer: 964909600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3136774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (2*(sqrt(13) + 0))**2 + (sqrt(104)\/sqrt(2) + (6*(-1 + sqrt(13)) - sqrt(13)))**2) + 0.\nAnswer: -730 + 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 1\/11 (c) 2\/5 (d) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.03 + 8.03. What is the closest to z in -5\/2, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a + a**2 + 0*a**2 + 0 - 1. Let j(h) = 3*h. Let s(m) = m**3 + m**2 + 2*m + 3. Let i be s(0). Let r(o) = i*t(o) + 5*j(o). Differentiate r(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 4, 0.25, 0.9, 2\/9 in ascending order.\nAnswer: 2\/9, 0.25, 1\/3, 0.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.66 - 0.66. Put -0.1, -19, 0.3, f in ascending order.\nAnswer: -19, -0.1, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w = -17*w - 2*b + 272, -56 = -w - 2*b. Let g = -52 + 109. Suppose 0 = -g*j + w*j + 459. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-54)\/(-12) + 2\/4. Suppose 0 = 2*i - q - 5, r*i = -q + 6*q + 25. Suppose -2*n - 8 = -5*y + 9, i = 3*y + 4*n - 5. Solve -y*f + 1 + 5 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 161 = 1. Is 27 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 + 50?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1684676 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2710314 to the power of 1\/2, to the nearest integer?\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1149, -2978, -6037, -10320, -15821, -22534, -30453, -39572?\nAnswer: -49885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i - 1. Let p = 6 + -10. Let x be z(p). Let b = 7133 - 7146. Is x at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -461*v**2 + 19*v + 134. Let q be c(-7). What is q rounded to the nearest 100?\nAnswer: -22600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 66?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 1\/8, 2\/7, -3, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -2216285905?\nAnswer: 2216285906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/38040 and 117\/64180.\nAnswer: 122070360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r. Let g(k) = 9*k. Let v(s) = 5*c(s) - 2*g(s). Let d(i) = -i**2 + 6*i. Let u(n) = -5*n. Let q(z) = 5*d(z) + 6*u(z). What is q(v(w))?\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76217944.\nAnswer: 2, 11, 97, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 smaller than 0.68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -237\/4. What is the third biggest value in -0.01, u, 0.05?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5812757 decades in months?\nAnswer: 69.753084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + -3 + -5 + 3. Let k(r) = 30*r**2 - 5*r + 5. Is k(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 725418\/(-18145) - 6\/285.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93659386 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -41 - 175. Let z = y + -23. Let x = z + 2. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 154 = -5*g - 292, 0 = -2*s + g + 438. Calculate the remainder when s is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x - 6 + 4 - 3. Let b(h) = 1. Let f(l) = 5*b(l) + c(l). Let y(s) = -3*s. What is f(y(m))?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*c + 49, -2*i + 2*c = -0*i - 50. Let r = i + -15. Solve -k = -5, 0 = 2*b - k + 2 + r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p. Let w(h) = -6*h + 11. Let c(q) = -16*q + 31. Let t(s) = -4*c(s) + 11*w(s). Determine 2*t(f) - 2*x(f).\nAnswer: -2*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 - -1114?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 309.5563 decades to millennia.\nAnswer: 3.095563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 120232525?\nAnswer: 120232520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5 = 2*p, 2*p - 10 = p - u. Suppose -3*a + p*a - 4 = 0. Let q = -805.2 + 805. What is the closest to q in 1, -3, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3, 16, 1\/6, -2\/33, 0, -24\/5, -1?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64998 - 8599678810.\nAnswer: -8599743808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 765445 and 19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 337, 675, 1013, 1351?\nAnswer: 1689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3303 + -182b?\nAnswer: -4b31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 11:05 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -329456, -658920, -988384?\n\"Answer: -329464*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004417 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.014, -4, -3970\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 10*z**2 - 4*z + 3. Suppose -27*v + 26*v + 5 = 0. Is t(v) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2167, -8953, -20363, -36391, -57031, -82277?\n\"Answer: y**3 - 2318*y**2 + 161*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 0 + 1 + 1 - y**2 - 7*y + 0. Let x be c(-7). Suppose 41 = z - 0*i + 2*i, -2*i = x*z - 84. What are the prime factors of z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -61\nAnswer: 5\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2.494?\nAnswer: 6.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.65 + -16.649997962. What is w rounded to 7 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixi when three letters picked without replacement from bipipxippibpp.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**6\/360 + 4*p**3\/3 + 2. Let j(w) be the third derivative of q(w). Let s(v) = 3*v**2 - 4*v**2 + 3*v**2. Determine s(j(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 215605 - 63819017\/296. Find the common denominator of 28\/37 and g.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkttkkkkkttktkkkktk. Give prob of picking 3 t and 1 k.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u. Let j(v) = -2*v. Suppose -28 = 4*b - 8. What is b*s(x) + 3*j(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k. Let j(r) = 2157*r**2 - 2*r + 1. Give j(d(b)).\nAnswer: 19413*b**2 - 6*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.547875 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 172, 28 in ascending order.\nAnswer: 28, 81, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12582 + 12552 = 4*y - l, -4*y = -2*l + 32 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2302 + -2294. Let v(g) = -g**2 + 10*g - 1. Calculate v(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 784\/84*(-45)\/(-330)\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from noootuthaaauutuuuaao.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 17*n**2 + n + 19. Let x be l(-17). Suppose -5*o - 41 = -3*f, 2*o = f - 2*o - x. Suppose 768 = -f*h + 26*h. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f\/(f**(2\/3)*f)))*f*f\/f**(1\/9))\/((f*(f\/((f\/(f*f**1*f)*f)\/f))\/f)\/((f\/(f**(2\/9)\/f))\/f)) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 593\/203 - 93\/29. Let i = 78.5 - 79. What is the nearest to 0.05 in -0.1, i, b, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -1. Let s = 19 + d. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 9:39 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - -1. Let t = -0.9 - k. What is t rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 - 5.7. Let r = 6 + f. Which is the closest to r? (a) 1\/5 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, g: 1, v: 2, f: 2, p: 1, r: 1}. Give prob of picking 3 g and 1 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 32046?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.016 plus 765?\nAnswer: 776.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-7) - -3 - 14\/49. Calculate the smallest common multiple of 32 and h\/((-2 - -3)\/4).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**5\/60 - n**4\/4 + n**3\/2 - 6*n**2. Let w be 4\/6*(-15)\/(-2). Calculate z(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 47*z + 109. Let t be x(-41). What is the closest to 0.1 in -3, t, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -4*b + 97, 2*w + 0*b - 150 = -0*w + 13*b - 504 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4877 (base 11) to base 2\nAnswer: -1100011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(48)*-2 + sqrt(108) + 1*sqrt(108))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/43)*d\/(d\/(d\/((d\/d**(-16))\/d)))*d**(-1)\/d**(2\/9))**(4\/11) assuming d is positive.\nAnswer: d**(-25184\/4257)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 1\/371 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 335867573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5751632*k**3 - 7457554*k wrt k.\nAnswer: 34509792*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 290977009\/2 or 145488504?\nAnswer: 290977009\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15607861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) -1 (c) -6.4 (d) 0.13 (e) 2 (f) -2\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 17*a**2 - 36*a + 95. Give m(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010381 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 41679\/2526*6\/(-27)*3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*r - 6, -5*r + 0*m = -5*m + 15. Solve 3*h + r*h = -12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + p + 25 = 0. Suppose p*o - 2*o - 54 = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221769?\nAnswer: 3, 41, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3199400 and 2?\nAnswer: 3199400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - -11100000122110?\nAnswer: 11100000122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/12 + (-510)\/8. Let p be (-644)\/v - (-4)\/(-18). Suppose -2 = m - p. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 111660523 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65871 or 131739\/2?\nAnswer: 131739\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19703207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*m + 4. Suppose 5*s - 28 = 4*u, -m*s + 3*u + 17 = -5. Are s and -12 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 + -16. Let o be (-29)\/2 - 3\/6. Let p = o + 23. What is the highest common divisor of x and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -10719\nAnswer: -42876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5*j + 13354 - 1247, 4*j - 48500 = -4*x. Round x to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13501699?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14866507 + 15336*p + 14866507)*(1 + 1 - 3) as u*p + s and give u.\nAnswer: -15336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3 = -4*i, -3*i - i + 12 = 0. Suppose -1062 = -12*t + m*t. Suppose 2*b = -s - s + t, -182 = -3*b + 2*s. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 5*p - 200 + 114 = -54, 0 = 2*p + 2 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajg when three letters picked without replacement from {l: 1, j: 1, v: 2, a: 1, w: 2, g: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7789 + 21255. List the prime factors of v.\nAnswer: 2, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 - 22 = -4*z + 3*c, 5*z + 9 = -c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 3*f - 5*x, 0 = -3*f + 74*x - 78*x + 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76*u**2\/17 - 5778*u\/17 + 152\/17.\nAnswer: 2*(u - 76)*(38*u - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7b91c (base 13) to base 16\nAnswer: 37168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*t + 1866 = 3542*t + 6309 + 10941 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34\/((9 + -3)\/3). Solve 12*m = q*m - 4*y - 12, y - 18 = -4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Suppose i = -0*o - 4*o + 4. Solve 3*y - 2*p + 0 = -1, -o = -3*y + p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 143\/3. Let y = -1\/6 - w. Let u be 1*(-4)\/28 - 19\/(-35). Which is the smallest value? (a) u (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*m**2 + 0 - 100\/3*m = 0 for m.\nAnswer: 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*h - 69, p + 4*h - 12 = 20. Suppose -18*q + 11666 = p*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8*q**(1\/7)\/q)\/(q*q**(-1))**(-4\/5)*((q*q**(-1\/11))\/((q\/(q\/q**(2\/17)))\/q))**(-1\/16) assuming q is positive.\nAnswer: q**(147255\/20944)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 9*r**2 - 2*r + 10. Let w be g(9). Let h be (-2)\/(w\/(-36)) + -2. Let q = h - -64. Round q to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 391 - 390. Calculate the highest common divisor of 8 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x - 6. Let k be a(3). Suppose -k*f + f = o - 25, 2*f - 5*o = 37. Find the second derivative of f*h + 8*h**5 + 22 - 22 - 2*h**5 wrt h.\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47 - -19) + -131 + 74.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 10*f**2 - 3*f - 2. Determine u(10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -75?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*(4 - 8\/(-20)). Let s = 25 + t. Suppose 2*y = y + s. Solve -8*p - 19 = y*u - 3*p, u - 3*p = 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 12:55 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -83, -81, -79, -77?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28829777 to the nearest integer?\nAnswer: 5369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/(-1)*21\/(-21)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1462 is divided by 4\/(-6)*(-459)\/(-51) - 54\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwy when three letters picked without replacement from yjwyj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6194 = 4*s - 3*s - q, 4*q = -4*s + 24800. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + u**2 + 2*u - 2. Let o = -88 + 88. Let g be q(o). Let s(t) = 0*t**3 - 4*t**3 + 3*t**3 - 2*t - 2*t**2 - 2. Determine s(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -2*c**2 + 1\/6*c**3 + 0 + 0*c. Let t(s) = 2*s - 2. Give 4*o(w) + t(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -131d - 1?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00045994909 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 1 - 1 + (0*n - n - n)*(14 - 17 + 6) + 0 + 2*n + 0 - 4*n - n + 6*n + (-4 + 0 + 3)*(3*n - 4*n + 0*n) + 2*n - 2*n + n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -516, -1133, -1988, -3081, -4412, -5981?\nAnswer: -7788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7068756 and -6.9.\nAnswer: -7068762.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/4)\/1*6. Suppose 0 = k + 2*k - 312. Let o = k - p. Calculate the remainder when o is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583742 is divided by 583699?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 43, 0.3, -9447\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 102*m + 678. Calculate z(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 123*k - 727. Let a be u(6). Solve -a*z - 16 = -7*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 15 = -6. Solve r = 5*o - 28, 0 = -f*r - 0 - 9 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**5\/5 + 110*o**4 - 39888*o**3\/5 + 427136*o**2\/5 - 1640704*o\/5 + 428544 = 0.\nAnswer: 4, 108, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3*15 + -1. Find the third derivative of 3*m**4 - 13*m**4 - 3*m**k - 8*m**2 - 10*m**4 wrt m.\nAnswer: -552*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11703?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24706 divided by -6.\nAnswer: 12353\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 5*f - 530. Is 18 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u = -9*u + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4370.5 + -4371. Let f = -8 + 3. Which is the second smallest value? (a) w (b) f (c) 0 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8, -16, -24, -38, -64?\n\"Answer: -l**3 + 6*l**2 - 19*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + sqrt(1331)*-4*-2)*1*6 + -3.\nAnswer: -11 + 528*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssvssssmmvm. What is prob of sequence vv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01922 + 0.38078. Which is bigger: -801 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.641 take away 428656?\nAnswer: -428656.641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - (sqrt(600) + sqrt(600)*1 - sqrt(6)))\/(sqrt(128)*2 + sqrt(128)) + (sqrt(3) - (sqrt(27)*-1 + sqrt(3))**2 - sqrt(6)\/(sqrt(18)\/sqrt(9))))*3.\nAnswer: -36 - 9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55 - -55) + 10 + (-5 - -4) + -3 - 54.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*l = 77*l + 74646. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, -1, -5 in descending order.\nAnswer: 9, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*u**2 - 6*u**2 + 33*u**2 - 147*u**2 + 226*u**2 + u**2.\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 86*i + 1753. Determine j(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 86*p + 3. Let l(a) = 3*a - 1. Calculate 2*c(t) + 4*l(t).\nAnswer: 184*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 6*s - 2. Let p be q(7). Suppose -1336 - 1021 = -3*m - 2*w, p*w = -4*m + 3138. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169665258 to the nearest integer?\nAnswer: 13026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 200218480 to the power of 1\/3, to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (143 + (-97 - -89))\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.031 and -532.97?\nAnswer: -16.52207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 11*c**2 + 10*c + 5. Give s(12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 19*b**2 - 217*b - 1. Give m(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 232\/(-14)*(-1)\/(-2). Suppose 2142 = 3*z + 3*j, 0 = 11*z - 8*z + 5*j - 2144. Suppose 737 = -3*a + z. Is a greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -298 + 298.1. Which is smaller: -336 or d?\nAnswer: -336","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -841*n + 3*l + 50 = -846*n, -2*l - 10 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyhy when four letters picked without replacement from {m: 3, a: 1, i: 3, k: 1, h: 2, y: 2}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 306*c*t**2 - 3*t**2 - 84*t wrt c?\nAnswer: 306*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 - 2 + 2 + (12 + 3*r**3 - 12)*(-56 + 232 - 103).\nAnswer: 221*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/27? (a) 4 (b) 691 (c) 12 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 + 10)\/(1 - 2). Suppose 0 = 5*g + 4*p - 40, -3*p - 8 = 3*g - 7*p. Sort g, r, 3 in decreasing order.\nAnswer: g, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**2*n*t*z + 2*m**2*t*z - 5*m**2*z - 297*m*n + n*t*z with respect to n.\nAnswer: m**2*t*z - 297*m + t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aulvffuil. Give prob of sequence vfif.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microsecond in nanoseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -222.35 and -55605.92.\nAnswer: -55828.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2380460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10417, 10413, 10397, 10363, 10305, 10217, 10093?\n\"Answer: -c**3 + 3*c + 10415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 66*w**2 - 16*w - 560. Let m(k) = k**2 - k + 4. Let n(z) = -h(z) + 8*m(z). Differentiate n(o) wrt o.\nAnswer: -116*o + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -7*v**5\/20 - 2*v**2. Let n(g) be the third derivative of g**5\/60 - 34*g**2 - g. Calculate i(n(w)).\nAnswer: -21*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (5 + -18 + 4 + 1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176538 is divided by 792.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -1.7 (c) 4 (d) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 1:14 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 290*x + 5957 + 5643 for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-24)*(-24)\/3. Suppose -3*l = n - 11, -a*n + 7*l + 2 = 3*l. Solve 3*j + 2 = -w - 5, 4*j - n*w = 16 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*d + 181 + 186*d - 53*d - 50*d - 25*d as j + g*d and give j.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 33*b**2 - 6. Let z(w) = w**3 - 1. Let v(h) = -g(h) + 6*z(h). Find the third derivative of v(u) wrt u.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v - 1. Let c(p) = -9*p - 4. Give c(t) - 2*l(t).\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 6. Suppose x + 2*a - 1 = s, 2*x = 2*a - 14. Sort x, 4, 5 in increasing order.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 8:42 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, b: 2, y: 6, z: 3, i: 3}. What is prob of sequence ibl?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5 - 4*b**3 + 2*b**2 + 3*b - 2.\nAnswer: (b - 1)**3*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/5 - 14127*b**3\/10 + 15553*b**2\/2 + 21207*b\/5 = 0. Calculate b.\nAnswer: -7069, -1\/2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6924\/7336 - ((-570)\/(-140))\/57 - 12\/14.\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 54\/12 - 2\/(-4). Let z = -0.118 - -0.118. What is the closest to -1 in 3\/4, z, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5718646.\nAnswer: 2, 37, 77279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 6*w + 14 = -7*w, -3*w - 6 = 0. Suppose 5*j + 19 = j - l*z, -3*j = -z - 2. Which is the closest to -0.3? (a) -4 (b) j (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*(-3465)\/(-828000) - (-22)\/253?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497303 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2131053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 10. Let q = 3 + a. Differentiate q*m**4 - 7 + 2*m**4 + 3*m**4 with respect to m.\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 10*w**2 - 12*w. Let m be o(8). Find the second derivative of -13*c - m*c**4 + 35*c + 33*c**4 wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71742?\nAnswer: 2, 3, 11, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 237095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10955, -43868, -98729, -175544, -274319?\n\"Answer: -j**3 - 10968*j**2 - 2*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -v + 914, -3*v + 0*v = -2*a + 352. Let x = 126 - a. Let j = x - -80. Solve 2*o + 0*n - j = 4*n, -5 = 5*o + 3*n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6000 - 6005.9648. Let d = -8.67 - l. Let a = 2.7 + d. Round a to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 11*f + 11*f. Solve z + 6 = -2*t, -f*t - 4*z = 17 + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 (base 13) in base 15?\nAnswer: -11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 23*j**2 - 10*j + 6. Let t be h(6). Suppose 0 = 6*m - 9*m + t. Suppose 5*x - m = 492. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - l**2 - 4*l - 3. Let t(v) be the first derivative of -v**4\/4 - v**3\/3 - 3*v**2\/2 - 2*v + 4. Give 3*t(c) - 2*w(c).\nAnswer: -c**3 - c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 10*s - 7 - 14*s + 10*s + 4 - 4 + (0 + 2 - 1)*(0*s - s + 5*s).\nAnswer: 12*s - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 2*x**2 - x + 4. Let u be o(2). What is the second derivative of 15*w**4 + 4*w**2 - 4*w**u + 14*w + 0*w**2 wrt w?\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5318918 rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2490 - 6254. Let p be d\/(-1) + -2 - 0. What is the units digit of ((-4)\/(-6))\/(44\/p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 3*m**2 + 7*m + 7. Let j be z(-5). Let y = -15 + j. Solve -3*g - 6 = 3, 4*g + y = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47145840 divided by 28?\nAnswer: 1683780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 60 = -3*u. Suppose 2*z - u = -10. Is z equal to 5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*g + 24 = -81*g + 2*y, 28 = 4*g + 5*y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o + 264 = 0. Let y(i) = 60*i**2 + i + 8. Let z be y(4). Let n be 12\/(-66) + z\/22. What is the highest common divisor of o and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 409*a + 3171 - 23621. Calculate the remainder when 902 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 - 35 = -i. Let z be (i\/(-2))\/((-5 + 8)\/3). Calculate the highest common factor of z and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 p when three letters picked without replacement from {j: 4, i: 1, c: 2, o: 2, x: 2, p: 3}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 - (-142 + 23 - -112).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 939 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m + 23. Let v be s(-7). Let f(o) = 3*o + 3. Let w be f(v). Let r = 84 - w. What is the remainder when r is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/13)\/z)\/z*z)\/(((z\/z**(2\/31))\/z*z)\/z) assuming z is positive.\nAnswer: z**(57\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 1 - -1) + 33. Let h(i) = i**3 - 31*i**2 - 34*i + 62. Let n be h(w). Let d(x) = -2*x**2 - 2*x + 2. Determine d(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from eqaa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*v**5 + 23*v**3 - 4*v**2 + 3035*v - 105 wrt v?\nAnswer: -560*v**3 + 138*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15839665757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + (-7)\/(-4))*-4. Suppose 1649 = 5*w - v + 1624, -5*v - 5 = -w. Sort w, 2, a, -1 in descending order.\nAnswer: w, 2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h*j**5 - 5*h*j**3 + 2*h - 4*j**5 - 108*j wrt j.\nAnswer: 60*h*j**3 - 30*h*j - 80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6\/7 (b) 7 (c) 4 (d) 2300\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/8*(-66)\/3003*16?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-118)\/(-12) - 0\/(-4) and ((-6)\/(-4))\/(2646\/686).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80177?\nAnswer: 80177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**1*((q*q**(-1\/2)*q*q)\/q)\/q*(q**11\/q)\/q*q**16 assuming q is positive.\nAnswer: q**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 8 + 4*u**2 - u**2 to the form g + o*u + m*u**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from iiiiioiiiioii?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**3 + 390*m**2 + 6*m + 19. Let g(r) = r**4 + 6*r**3 - 391*r**2 - 8*r - 21. Let t(o) = 3*f(o) + 2*g(o). Find the second derivative of t(p) wrt p.\nAnswer: 24*p**2 + 776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58.91 + 59.91. Let f = -1.7 - -2. Which is the nearest to v? (a) -0.2 (b) 4\/5 (c) 1\/3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-9))\/(2115\/(-846))\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14428750 divided by 175.\nAnswer: -82450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111)\/(-24) - (-21)\/56?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -281 - 34?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -230252, -1, -8.5, 0.2.\nAnswer: -230252, -8.5, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + -5 - -7 - (-1 + (-1)\/(-5)). Which is the fifth biggest value? (a) q (b) 1\/2 (c) -1\/6 (d) -5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36 - 18?\nAnswer: -4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmhhh. Give prob of picking 2 h, 1 w, and 1 m.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 11*h**2 - 16. Let u(q) = -12*q**2 + 15. Let k(y) = -y**2 - 13*y - 16. Let d be k(-12). Let w(b) = d*u(b) - 5*a(b). Differentiate w(g) wrt g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2004 = -4*p, 583 - 2591 = -4*p - 2*t. Suppose -a - p = 4*a. What is a rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((8 - (2 - -5)) + -8 - -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 3:05 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*2*3 + -4*sqrt(44)\/sqrt(4))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 6*v**2 - 3*v + 5. Let h be w(-6). Let x = 20 - h. What is the units digit of -68*((-15)\/(-6) + x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 19. Let m = 25 + -7. Suppose 2*w + 3*h = y, h + m = 2*w - 1. Calculate the least common multiple of w and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 6*v - 10*v - 4, 12 = -n + 4*v. Solve 4 - 9 = -3*t + r, -n*r - 20 = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 500125*g**2. Let n(z) = 51*z. Calculate v(n(p)).\nAnswer: 1300825125*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -21 - ((3 - (9 + -6)) + 2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3173.93 and -17?\nAnswer: 3190.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/8 - 177\/(-6))\/1. Suppose 36*z - 21 = h*z. Factor 1\/3*r**4 + r**z + 0 + 2\/3*r**2 + 0*r.\nAnswer: r**2*(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 - 16*t + 17. Let y be r(-8). What is the highest common divisor of 153 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 9 + 16 = 5*s, -4*s - 3*n = -17. Put -4, -5, -28, s in decreasing order.\nAnswer: s, -4, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1657 divided by 2617?\nAnswer: -1657\/2617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(54390\/(-20))*-3. Let m be 1\/3*(-5 + 5). Are c and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24234611 (base 7) to base 12.\nAnswer: -882125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/10)\/(38\/95). Let w be c\/(-5)*(-3 - (-16)\/12). Is w less than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 593897 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67478 is divided by 285?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 - 14*b + 5. Let m(z) = -6*z**2 + 41*z - 15. Let d(k) = 6*m(k) + 17*t(k). What is d(6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -15*b + 3. Let y(p) = -p. Calculate y(q(r)).\nAnswer: 15*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 772559 and 972287.\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 35 = -5*n, 4*o + 2 = -84*n + 87*n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -9. Let m = -0.3401 + 0.6401. What is the second smallest value in y, 0.5, -38, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*u = -11, u - 18 - 22 = -5*x. Let w(g) = 2*g - 14. Let h be w(x). Solve b + 4*m + 5 = m, 5*m = -h*b + 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -9*b**2 - 3*b + 4. Let t(u) be the first derivative of -3*u**3 - 2*u**2 + 5*u + 960. Give -4*s(l) + 3*t(l).\nAnswer: 9*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2671*3968\nAnswer: -10598528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 279 (b) 36 (c) 3\/8 (d) -0.2 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-6)*(-8)\/25*40\/(-24)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -8 (c) 4\/9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4514994*n**2 - 6784760*n.\nAnswer: -9029988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 56 = 20*j. Let t be j\/(-6) - (0 - 1\/(-3)). Solve g = -t*g + n - 10, -n = -4*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + o + 10 = 0, -5*s + 45 = 3*o + o. Suppose -i + s + 10 = 0. Solve 0*r - 3*r = -i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*v**2 - 2*v**2 + 8*v**2 + 17*v**2 + 9*v**2 + 9*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5015806.69 and -324.\nAnswer: -5016130.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964439?\nAnswer: 7, 137777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 1104*a + 963. Let m(k) = -368*k - 321. Let h(j) = 17*m(j) + 6*o(j). Differentiate h(l) with respect to l.\nAnswer: 368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18a + -42?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 10110000 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = -z + 197. What is the second derivative of -z + 11*y**2 + 17*y + 20 + 31*y + 3*y**3 wrt y?\nAnswer: 18*y + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 105 + -52. Let b = p + -53.145. Round b to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 746*d. Let j(i) = 127*i + 3. Determine z(j(x)).\nAnswer: 94742*x + 2238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 2, -7419 in increasing order.\nAnswer: -7419, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-10))\/(1\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1 - (0 + 1). What is the closest to m in -0.2, 5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - -117. Suppose -4*q - 6*h + h + d = 0, 3*q - 3*h - 90 = 0. Let i = q - 22. Calculate the remainder when 23 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1230113209?\nAnswer: 13, 23, 1429, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2037 = -5*h, 5*h = -20 + 35. Let u = q - -6067\/9. What is the common denominator of 11 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11392.006133 + 11392. Round q to four decimal places.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11345 is divided by 543?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/2 - 265*k**3\/2 + 1817*k**2\/2 - 2843*k\/2 + 645 = 0.\nAnswer: 1, 5, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -236.6 + 237. Suppose -4*t + 2 = -3*t. Which is the closest to 1? (a) l (b) 1\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*v = 39*v - 7*t, -4*t = v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 8:18 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 672 divide 2986368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2415 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 5*t**2 + t + 10. Let p(s) = s**3 - 6*s**2 - s + 1. Let d be p(-1). Let o be q(d). Solve -28 + 8 = -o*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l - 14. Let k be v(10). Let z(t) = 14*t. Let f be z(-3). Let c = f - -60. What is the highest common divisor of c and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**5\/80 + s**4\/16 - 7*s. Solve x(o) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 r, and 2 m when four letters picked without replacement from {e: 1, j: 3, r: 3, f: 1, m: 2, g: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 196\/9 (b) -4 (c) -0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s - 2 - 22. Let a(x) = 2*x**2 - 6*x + 3. Let f(w) be the first derivative of 2*w**3\/3 - 5*w**2\/2 + 2*w + 202. Calculate s*f(r) + 3*a(r).\nAnswer: -2*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000121110110 (base 3) to base 12.\nAnswer: 43a056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*x - 41*x - 37*x - 46*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.5, -1044 in descending order.\nAnswer: 2, 0.5, -1044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c**3 + 1. Let h be p(1). Let i(q) = -q**3 + 8*q**2 + 2*q - 7. Is i(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2 - ((-1177)\/(-66) + -17). Let q = 7.3 + -7. Let i be 4\/((-10)\/(4 + -2)). Which is the nearest to k? (a) q (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -u - 7, -2 + 0 = 2*b - 4*u. Let c(n) = b - n + 2 - 3. Let l be -1 - 24\/(-3*1). Let m(g) = -4*g + 7. Give l*c(a) - 2*m(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*y**6 - 15*y**4 + 10*y**2 + 1?\nAnswer: 2040*y**3 - 360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3966*h - 193967 - 97522 = -45187 + 178060 for h.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38525*r**4 + 1348385*r**3 + 9631600*r**2 + 2500*r = 0 for r.\nAnswer: -25, -10, -2\/7705, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert d13 (base 14) to base 5.\nAnswer: 40230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**5*o)*o**5*(o*o**(2\/15))\/(o**(1\/3)\/o)*(o*o\/(o**(-4)\/o))\/(((o\/o**(2\/9))\/o)\/o)*o**(1\/10)\/(o\/(o\/o**(-4))) assuming o is positive.\nAnswer: o**(1271\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3))\/(11\/231 + 0). Let j(d) = -d**2 - 7*d**2 - 5*d - d**3 + 13 - 8. Give j(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -963133 or -963137?\nAnswer: -963137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 4*h**2 + 4*h**2)*(7 - 5 + 1) - 4*h**2 + 4*h**2 - h**2 - 2.\nAnswer: 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n**3 - 3282842*n**2 - n - 7514550.\nAnswer: 18*n - 6565684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 535 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1. Let n(r) = 2*r + 12. Let d = 1072 + -1067. Calculate d*g(b) - n(b).\nAnswer: -2*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2000)\/(-18))\/(-5) - (-4)\/18. Let z be (-4)\/(-3) - m*(-8)\/(-48). Which is the third smallest value? (a) -1\/10 (b) -7 (c) z (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2069 and -28.14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4.4. Suppose 0 = -2*x + 4*m + 4, -3*m = 3*x - 6*m. Let c be (x\/(-42))\/((-2)\/(-6)). Put c, o, 0 in decreasing order.\nAnswer: o, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -925*g + 934*g - 18, -4*x + 3*g = -10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 32454 (base 6) to base 11\nAnswer: 341a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from qqqqoqqqqoqqoqqooo.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.428 - 18.\nAnswer: -16.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**3*p**(1\/12))\/(p**(1\/5)*p\/((p**(2\/17)\/p)\/p)*p)*(p**5\/p**(-6))\/(p*p**(-5)*p**(-1\/5)) assuming p is positive.\nAnswer: p**(3101\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*v + 2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3384961, 3385047, 3385133, 3385219?\n\"Answer: 86*m + 3384875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2 - 6074*g + 210140 = 0. What is g?\nAnswer: 35, 3002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 10:51 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -32. Solve 3*k + 15 = -g*u, u + u = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5319260053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3643 divide 660404368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2907*j + 131580*j**2 - 131597*j**2 + j**3 + 2907*j.\nAnswer: j**3 - 17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 613, 2458, 5533, 9838, 15373?\nAnswer: 22138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15 + -1.15. Which is the smallest value? (a) 1 (b) -13 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -190507ba - 1?\nAnswer: -190507bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.203417 - 61200631.\nAnswer: -61200631.203417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*l + 37*l - 8*l - l - 1 + 1 + (-2*l - 1 + 1)*(1 - 1 + 2) + 0 + 0 - 2*l to the form c + u*l and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxo when three letters picked without replacement from xojkqkpqj?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 t, and 1 v when three letters picked without replacement from txxxxpvppsxs.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 4*n + 9. Let u be h(-7). Let b be (50\/15)\/((-8)\/u). Solve 4*a - 7 = 2*a - b*i, 4*a + 13 = -i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69310 and 2798690.\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**4\/4 + 17*l**3\/3 - l**2\/2 - 17*l + 2. Is v(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -12.6\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 259937 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6359 + 0.55926?\nAnswer: 1.19516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 1 = 4*l - 4*d, 2*l + d - 1 = 0. Let v be l + (4 - 0) - -1. Find the third derivative of z**2 - v*z**6 + 0*z**6 + 4*z**6 wrt z.\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 248713122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86 + -168. Let k = w + 141. What are the prime factors of k?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/2)*g\/(g\/(g**(2\/15)*g)*g))\/(g\/(g\/(g\/g**(-5))*g)*g**(3\/7)) assuming g is positive.\nAnswer: g**(-587\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2070)\/(-460)*(1 - (-34)\/18).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -685*h**2*w + 188479*h**2 - 23*h - 4068*w with respect to w.\nAnswer: -685*h**2 - 4068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b + 7. Let p(k) = 4 + 3 + 26*k - 1 - 20*k. Let q(j) = 6*p(j) - 5*r(j). Let y be (-12)\/30*(-15)\/(-1). Give q(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1)*j)\/j**8)\/(j**(15\/2)\/j*j*j**(-6\/5)*j))**(-39) assuming j is positive.\nAnswer: j**(5577\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 17. Let f be ((-150)\/40)\/(((-1)\/(-18))\/(4\/(-3))). What is the greatest common factor of f and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a1 (base 13) in base 6?\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18157613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - -1*(1 + 0). Let i(p) = -1 + u - 8*p - 4 - 7. Does 7 divide i(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + -4.9. Let j = -3.92 + -0.08. Let k = j + 4. What is the second biggest value in k, -2\/7, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*j - 454*j = 584*j - 18100 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129578\/3427 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/9)\/(64\/96)*-3 + 5. Let t(p) = -p**2 - 8*p - 3*p**2 + 5*p**2 + 12. Give t(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n - 3. Let z(k) be the second derivative of 1\/12*k**4 - 18 - 7\/6*k**3 - 7\/2*k**2 + k. What is 5*b(a) - 2*z(a)?\nAnswer: -2*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1506 + 1513 + o**2 - 3019.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196593801 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20212 + 20214. Solve -804*y + 803*y + 5 = -f*j, -4*j - 45 = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 8*k - 3. Let s be -3 + 0\/((-6)\/6). What is the remainder when 60 is divided by n(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-d**3 + 2*d**3 - 3*d**3)*(d + 0*d + 0*d) + 0*d**3 - d**4 + 0*d**3)*(-2*d - 1 + 1).\nAnswer: 6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 21*o**2 + 32*o + 396. Give b(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100266*v - 216 = 100239*v. Solve -y + 21 = -v*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6790 + 18777. What are the prime factors of i?\nAnswer: 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2\/8 + 15099*g\/8 + 525807 = 0.\nAnswer: -4737, -296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15837571 - -15837560.8000235. Let g = 10.2 + w. Round g to 6 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 1 - 1. Solve 0 = v*l - 2 - 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -171484169207644 and 0.5.\nAnswer: -171484169207643.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + 1 + -5 - -12) + -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(198) + 1*sqrt(198))*-3)\/(sqrt(225)*-2))\/((1*sqrt(72) - sqrt(72) - sqrt(18)) + sqrt(1800) + (sqrt(1800) - 1*sqrt(1800))).\nAnswer: sqrt(11)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10950828 divided by -42.\nAnswer: 260734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 0*v**5 - 1\/112*v**8 - 1\/8*v**4 + 0*v**7 + 0*v**6 + v**2 + 0 + 0*v**3 + 0*v. What is the second derivative of r(m) wrt m?\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = -2*g, -5*g + 13 - 5 = -4*x. Let j be 0 - (g + -8 + 2). Suppose 3*s**2 - 2*s + 3*s**2 - 2*s**2 - j*s = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 10. Suppose m = -m. Suppose 18 = f - m*t - 4*t, -45 = -5*f + 5*t. What is the least common multiple of f and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69 and 115?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 248692 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4))**34*(b*b**(-14)*b)\/b*b*b*b**12*b)**(-20) assuming b is positive.\nAnswer: b**2680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -236?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-32)*14\/35. Suppose b = 3*b + o - 5, 0 = -5*o + 25. Let n be (b - -1)*((-1)\/(-2) + 0). Sort -0.2, n, f in increasing order.\nAnswer: -0.2, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1264 - 1264. Solve -k - 7 + 2 = f for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 0. Solve s*b - 3*b + 3 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77454702791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 5. Let y(t) = 1. Let x(w) = -b(w) - y(w). What are the prime factors of x(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 22224.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/36)\/((-2)\/(-8)). Sort g, 2\/3, 5 in descending order.\nAnswer: 5, 2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 5. Suppose 0 = -5*x + 14 + 11. Suppose 9*j = x*j. Let t be u(j). Solve 0 = -5*b + i - 12 + 3, -2*b + 18 = t*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 + 23. Let y(s) = s**2 - 1. Determine g(p) - 6*y(p).\nAnswer: -2*p**2 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 80 = 3*h - 12*a, 0 = -3*h - 5*a + 35. What is the remainder when 398 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1230 and 5286130?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -74*y - 14. Let z be t(3). Let x be (1 - (-2)\/(-6))\/(4\/2670). Let w = x + z. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a hour in minutes?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 60695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/13 - 48*g**2\/13 + 458*g\/13 + 4872\/13 = 0. What is g?\nAnswer: -29, -7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 251 + -203. Calculate the remainder when b is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 7*k + 5. Suppose 4*n - 40 + 12 = 0. Let o be w(n). Let a(j) = j - o*j + 2*j. Let x(u) = 2*u. Calculate a(x(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 14269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31850 + 34812. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 = 3*l. Suppose -5*n + 20 = 0, c + 16 = 5*c - 3*n. Calculate the lowest common multiple of c and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122201 + -3?\nAnswer: 122143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 446, -25, 3 in descending order.\nAnswer: 446, 3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 83964*q - 83978*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 divided by -206?\nAnswer: -156\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**6\/720 - 10*y**4\/3 + y**2\/2 + 75*y. Let x(l) be the third derivative of d(l). Let q(t) = -87*t. Determine q(x(w)).\nAnswer: -87*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 796.1409 litres?\nAnswer: 796140.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -v - 21, 41 = -0*t + 4*t - 5*v. Calculate the remainder when 10 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24 and 0.09365134?\nAnswer: 24.09365134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*q - 1, 3*p - 3*q - 5 = -2*q. Solve 3*w - 22 = l - p*l, l = 5*w - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.741 + -0.059. What is o rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*i + 12. Let n(l) = l**3 - 2*l**2 - 3*l + 3. Let d be n(i). What is the second derivative of 5*g**3 - 2*g**3 + g + 0*g**d wrt g?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 105*o**2 + 8 - 4*o - 8*o - 101*o**2.\nAnswer: 4*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - 25) + (-139 - -182)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5970 - -22944. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - d + 107 + 23 + 39.\nAnswer: -d + 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 725*g**2 + 1465*g + 735.\nAnswer: -5*(g - 147)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -428, -1733, -3906, -6947?\n\"Answer: -434*j**2 - 3*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from zvvivfnnhvnvhnvnhvh.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2. Let s(u) be the first derivative of 15\/2*u**2 - 12 + 0*u. Determine b(s(z)).\nAnswer: -450*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*y + 68*y - 39 - 144*y - 52 + 28 + 39*y.\nAnswer: 4*y - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2022815534 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 16 = -3*a + 43, -38*x + 4*a + 208 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**2. Let s be j(1). Let t(o) = -66*o + 3244. Let p be t(49). Solve -4*n + p = f - n, -s*f + 3*n = 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -16\/7, -0.1, 51, 0.5, -7 in descending order.\nAnswer: 51, 5, 0.5, -0.1, -16\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/8184 and 139\/873642.\nAnswer: 3494568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**4\/4 + 7*u**3\/3 + 2*u**2 + 9*u - 4. Let n = 25 - 19. Calculate the remainder when r(-6) is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20125021 (base 6) in base 12?\nAnswer: 236771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 557 + 534 - 1026.\nAnswer: 2*j**2 + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z. Let s be o(3). Suppose 3 = 4*f - 5. Let p be -2*f*1\/(-4). Which is the nearest to s? (a) -5 (b) -1\/4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6200)\/(-900)*6\/(-4))\/(8\/(-24)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**2*i**2 - 31*b*i**2 - b*i*y - 2*i**2*y + 10*i*y + i wrt b?\nAnswer: 6*b*i**2 - 31*i**2 - i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**4\/15 - 1448*n**3\/5 + 43872*n**2\/5 - 1109024*n\/15 + 575456\/5 = 0.\nAnswer: -2202, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 5 - (70 - 44 - 4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65 and 325?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*b = -9, -3*b - 9 = -5*r + 3. Let m be 5\/6 + (-2)\/3. Sort r, -2, 0, m.\nAnswer: -2, 0, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -47 + 47 + (1 - 1). Suppose 0*d**2 - 1\/6*d**3 + 0*d**4 + 1\/6*d**5 + o + 0*d = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 1. Let k be r(-2). Let v be (k - 0)*266\/19. Is -14 equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 - 11*r**2 + 23*r. Let b(x) = x**3 + 6*x**2 - 12*x. Give 6*a(z) + 11*b(z).\nAnswer: -z**3 + 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, 0.12, 0.13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 3*n = -36, 8*n - 7*n + 54 = 225*w - 193*w - n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/(-60) + (-4)\/(-15). What is the nearest to 0 in o, 4, 10\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 5*w**2 + w - 12. Let m(k) = k**3 - 5*k**2 + 13. Let y(p) = -7*l(p) - 6*m(p). Let t be y(6). Differentiate 0*o + t*o + o + 3 wrt o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 479 + -523.8. Let a = -201 - -242. Let s = a + p. Round s to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2263 is divided by 476.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 n when three letters picked without replacement from nznzzhj.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3607771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 25 = -6*r. Suppose -3*u + 0*u - 2*b = 1, 4*u = 3*b - 24. Let k be (3 - (-15)\/10 - 3)*2. Put k, r, u in ascending order.\nAnswer: r, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*v**4 - 44*v**4 - 28*v**4)*(-4*v + v + v)*(4 - 2 - 1).\nAnswer: 268*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 39*t**2 - 2*t - 3. What are the prime factors of o(-2)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1591682481 to 5 dps.\nAnswer: -1.15917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.2135 times -5?\nAnswer: 246.0675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - q + 783642, 8*t - 9*t + 3*q = -783646. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/6*o**2 + 3\/2 - 5\/3*o = 0. What is o?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 12. Suppose 452 = 4*p + 5*w, p - 134 = -0*p + 4*w. Suppose -5*f = 10, 4*u + u - p = 4*f. What is the remainder when u is divided by n(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1461226?\nAnswer: 2, 13, 43, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*q**3*z - 138*b*q**3 - 6*b*q**2*z + b*q*z + 123*q**2*z wrt q?\nAnswer: -12*b*z - 828*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/2 or -1.73?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 5*b = 5, 2*b - 123 = -125 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -131\/28 - -107\/21. Let r(c) be the third derivative of 1\/30*c**5 + 2*c**3 - 17*c**2 + 0 + 0*c + g*c**4. Solve r(q) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-51)*54 - -69\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 265525 and 265525 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q = -f - 20*q - 25, -80*f + q - 7 = -77*f + 3*q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 21 = 5*n. Let f be 1192\/20 + 2\/n. What is f rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 180 + -114. Let d = 192 - l. Suppose 0 = -2*b - 2*f - d, 3*b - f + 205 = 4*f. What is b rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, 5, 0.3, -2, -0.5, -3352?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -398788 + x**2 - 8*x**2 + 398788. Let a(v) = -236*v. What is g(a(n))?\nAnswer: -389872*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 - 25*o**2 + 6*o - 124. Determine x(-13).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52335475 and 43961799?\nAnswer: 1099044975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 12. Let o = t - 3. Let n = 5 - o. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 48, 0.3, 5\/4, -0.95, -2, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**3 + n. Let o be s(-1). Suppose 5*m = -2*y + 162, -o*m - 5*y + 0*y + 69 = 0. Let x = 55 - m. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 4*k + 48 + 2*k.\nAnswer: 6*k + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 32 - -18 - 9) + 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16160 - -371674\/23. Does s = -3.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -156 - 2*v**2 + 156. Let f(n) be the third derivative of -7*n**4\/6 + 12*n**2. What is f(l(k))?\nAnswer: 56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11385 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1243665 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m**4 - m**4 + 0*m**4)*(-1 + 2 + 1) - 6*m**4 - m**2 + m**2 + m**4 + 4*m**4 - 3*m**4 as b*m**4 + h + q*m**2 + c*m**3 + l*m and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(51)*1 - sqrt(51))*-6)\/(((sqrt(120) - (2*sqrt(120) + sqrt(120)) - sqrt(120)) + sqrt(120))\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (-224)\/(-196) - (-64920)\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 184986*b - 967. Is s(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 87*c - 2. List the prime factors of s(5).\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2334093 rounded to four decimal places?\nAnswer: 0.2334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7975*r**3 + 321*r**3 - 10331*r**3 + 3922*r**3 - 13731*r**3.\nAnswer: -27794*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2331100 + -23?\nAnswer: 2331011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i + 12. Let l(f) = 8*f - 14. What is 2*l(n) + 3*p(n)?\nAnswer: -2*n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19598222 is divided by 8691.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -3*v**8\/280 + 4*v**7\/175 + 11*v**6\/300 + v**5\/75 + 41*v**2\/2 - 15. Let t(y) be the second derivative of g(y). Factor t(b).\nAnswer: -2*b**2*(b - 2)*(3*b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2 - 15*l. Let y(a) = a**2 - 7*a. Let d(j) = -3*x(j) + 5*y(j). Let g(z) = -5*z**2 - 3*z. Determine -6*d(i) - 17*g(i).\nAnswer: i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*v - 3 = -1, -5*v = 2*k - 33. Suppose 2*a - k*h - 22 = 0, 6*h + 11 = -4*a + 3*h. Solve q + 0 = a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 8:02 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 4375\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-22)*-38 - 4\/22. What is the third derivative of -7 - 16*i - i**2 - 46*i**o - 12*i + 28*i wrt i?\nAnswer: -2760*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - n - 37, -6*n = 3*m - 24*n + 15*n + 24 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0638 - -671691.\nAnswer: 671690.9362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9}. What is prob of picking 4 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. Suppose 3*d = -0*d + 3*n - 9, -18 = d - 4*n. What is the second smallest value in -0.3, p, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + (34 - -1))\/(-12 - (-13 + 0))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4376 - 4301 - (-24 - 1)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*j + 3186 = -1189*j + 161*j - 60934 for j.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000404 to six dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/10*(-12)\/(-21))\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3.58 (b) -1 (c) -1\/4 (d) 1\/3 (e) 154 (f) -1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-2))\/(1\/4). Let b be -1*(z - (1 - -9)). Suppose -5*o + b = -4*o. Calculate the highest common divisor of 60 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -15. Let k be 3*1 - (-6 - m). Suppose 3*o + k*o + i = 27, i = -3*o + 17. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 322.4625929 to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.35 + 1.47. Let w = n + -1.12. Let k be 135\/(-220) + 1\/4. Is k not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6 = -0*l + 3*l, 0 = -l + 4*r + 27. Differentiate -l + 27*y**4 - 66*y**4 - 13 - 22 with respect to y.\nAnswer: -156*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -334 - -567. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (1 + 3 - 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16260 by -10.\nAnswer: -1626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5127430 and 6592410.\nAnswer: 46146870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 257143d5?\nAnswer: -257143d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 19451549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.11 + 0.29. Let l = -167 + 164. Let q be (-1)\/((-10)\/l*15\/10). Which is the fourth biggest value? (a) -0.3 (b) q (c) f (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9b8a (base 12) to base 15\nAnswer: -5197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1694.825665 + 0.2?\nAnswer: -1694.625665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6637, 6727, 6829, 6949, 7093?\n\"Answer: s**3 + 83*s + 6553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 220 - 207. Let m be -1 + (-4)\/2 + 55. Calculate the highest common factor of t and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**2 + 2035690*c + 207201688805 = 0 for c.\nAnswer: -203569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-315)\/(-42)*7\/((-175)\/40)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*n - 174 = 60*n + 3*t, 4*n - 5*t = 227. Suppose 2*g + n + 45 = 0. What is g rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -678 - -682. Solve -4*o = -3*o + s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48550490 divided by -3?\nAnswer: -48550490\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -25529 = -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 1931*c - 72. Let k(i) = 30897*i - 1188. Determine -6*k(s) + 99*y(s).\nAnswer: 5787*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 bigger than -16268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 8*h + 2. Let v be o(8). Find the first derivative of 3 - 2*l + 2*l + 9*l**v - 2*l**2 wrt l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 258*u + 1886 + 1984 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -7*n**2 - 9. Let i be b(5). Round i to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/2 + 33*o**2 + 1836*o + 14560.\nAnswer: -(o - 104)*(o + 10)*(o + 28)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/121829442 and -37\/42.\nAnswer: 121829442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 3*a - 86. Let v be l(-8). What is the first derivative of 3*b**2 - 10*b**v - 667*b**4 + 30 + 662*b**4 - 5*b**2 wrt b?\nAnswer: -20*b**3 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1396*k + 3. Let v(p) = -p**3 - 15*p**2 - 26*p + 1. Let m be v(-13). Is l(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 d when three letters picked without replacement from {d: 7, m: 7}.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**3\/5 - 3*c**2 - 12*c\/5 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 316\/36 - (-14)\/63.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132564320 to the power of 1\/2, to the nearest integer?\nAnswer: 11514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1176, 888, 600?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, 569, -0.852?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccowwooooooccooo. Give prob of picking 4 c.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 8:15 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 4*f**2 + 2*f - 1. Let p be v(-4). Let b = 11 + p. Solve -b*i - 3 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 166643728 by 2.\nAnswer: 83321864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 - 3*u**3 + 11*u**3 - 2*u**3 - 158*u.\nAnswer: 2*u**3 - 158*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3.2*-1\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2535 = 6*n - d + 3*d - 2483, 3*d = 4*n - 52 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1210 (base 4) to base 13\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 656 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(5\/3))*y**(-4))**(-14))**(-2\/91) assuming y is positive.\nAnswer: y**(-28\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**5\/20 + z**4\/3 + z**3\/2 + z**2 - 2*z. Let f be y(-3). Solve -f*p + 6*p + 20 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.9 - -11. What is the smallest value in x, 14, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/5283794 and 25\/29081.\nAnswer: 68689322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + (sqrt(162)*-1 + sqrt(162) - sqrt(162)) + 3 + (sqrt(162) - (sqrt(162) + -1*sqrt(162))) + sqrt(162))*-2)**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(18\/63 - 0). Suppose -d*m + 759 = 717. What is the highest common factor of m and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**2 - 12*p + 10. Suppose 3*c - 2*t - 3 = 20, 0 = 5*c + 4*t - 9. What is the tens digit of o(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 - 2*y. Let n(g) = 2*g. Give 6*n(d) + 5*q(d).\nAnswer: -10*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64527950 is divided by 489.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -1 + 60*y + 0 + 3. Is z(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.159288 micrograms to milligrams.\nAnswer: 0.006159288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*t + 4*t + 5*t**3 - 15*t - 3*t**3 - 17*t**2 in the form u + x*t**3 + s*t**2 + p*t and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8559636 and 671344.\nAnswer: 34238544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 387687.5l in millilitres?\nAnswer: 387687500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w**2 + 25*w - 32*w + 7*w**2.\nAnswer: 27*w**2 - 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 78?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -360*d**2 + 2736*d?\nAnswer: -720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -452, -905, -1358?\nAnswer: -1811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 367311 (base 11) to base 10.\nAnswer: 580691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -375*p**3 + 21*p**2 - 21*p - 1. Calculate y(1).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-105))\/((-5)\/(-35)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-10)\/(-5)*4\/(368\/(-4))).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101347 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) 5 (c) 2451 (d) -7 (e) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 16. Determine r(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 468901879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 1:21 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 12. Let y be v(7). Suppose -2*w - 2*g = -3296, 3*w + y*g - 4*g = 4949. Suppose 546 = -f + 4*q + 2199, 5*q + w = f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**4\/42 - 8*t**3\/3 - 55*t**2\/7 + 87*t + 1. Factor l(z).\nAnswer: -2*(z + 1)*(z + 55)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 - 104*q - 1778. Calculate h(50).\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3074 - -16.6.\nAnswer: 16.9074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15151085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -4*b + 4*l, 4*l = 5*b - 68 - 152. Suppose b = -6*j + 164. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8*17883.\nAnswer: 32189.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3183 + 378 = 5*t, 4 = 4*t. Suppose r + 4*r - u = -k, -3*k = r - 4229. Round k to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p - 88*p = -1139. Calculate the remainder when 67 - 1 - (1 - 2) is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 3. Let f(i) = 3*i - 6. Determine -4*f(c) + 7*l(c).\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2357828*u + 2357062*u = -105708 for u.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*d - 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-l**3 + l**3 + l**3) + 0*l - 1 + 8 - l**3 - 2*l.\nAnswer: -2*l**3 - 2*l + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 9 + -2 + (-2 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681 = 238*w - 3*u - 515, -5*u = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 15 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*m - 75*m + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a - 36*a = 2. Let h(v) = 5*v + 2. Let c(t) = 6*t + 3. Let m(l) = 2*c(l) - 3*h(l). Give m(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 65*g + 36. Let a(s) = s - 6. Let q(x) = 6*a(x) + r(x). Let h(u) = -3*u**2. Calculate h(q(t)).\nAnswer: -15123*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3 + 6275858*u**2 - 464421706*u + 8591852214 = 0.\nAnswer: -3138003, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23730 and 420.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.7 + 14. Let c = 2\/41 + -127\/82. What is the nearest to -4 in y, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.06549 - -0.06549. What is the second smallest value in 2, 4, 3.1, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/1320)\/(-3*(-7)\/(-105))\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = y + 4*d, -y = 4*y + 2*d - 26. Suppose l - y = -0. What is the remainder when (-3 + l)\/(4\/268) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (10 - 44)) + -12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from {u: 1, o: 1, k: 6, x: 9}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 + 14*h - 4. Suppose 2*j + 3*g = 54, -31 = -2*j - 2*g + 21. Suppose -2*f + 4*f - j = 0. What is the smallest common multiple of f and n(6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13217?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -179*f - f**3 + f**2 + 177*f - 3*f**2 + 3*f**3 in the form a*f + j + m*f**3 + k*f**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.5 - 0.5. Sort a, -5, 2\/7, 3 in increasing order.\nAnswer: -5, a, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -20107592.\nAnswer: 20107588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 534003507 - -10?\nAnswer: 534003517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-10\/3)*l*l)\/l)\/(l\/l**(-10))*((l\/l**(-2\/39))\/l)\/l**10)**(-13\/4) assuming l is positive.\nAnswer: l**(869\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 92 (b) -0.1 (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n**2 - 59*n**2 - 8*n**2)*(8*n - 3*n + 2*n) as u*n**3 + x*n + z*n**2 + t and give u.\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g + 280 = 0. Let c(i) = 2*i**2 - i + 2. Let a be c(-4). Suppose 4*l - a = 38. Calculate the remainder when g is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -28. Suppose -6*t - n = 16. Sort 0.1, t, 2\/11 in descending order.\nAnswer: 2\/11, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -519 - 1249*x + 624*x + 623*x to the form q*x + z and give z.\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 679*s + 2*s**3 + 2*s**2 + 1 - 1337*s + 876*s as r*s + t + b*s**2 + l*s**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76a8789 (base 11) to base 6.\nAnswer: -1201520455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nsk when three letters picked without replacement from mnksklm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38873307 or -38873313?\nAnswer: -38873307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1636777 and -34.\nAnswer: -55650418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 2. Let n be 20\/(-15)*l\/8. What is the third smallest value in -1\/8, n, -1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 19. Calculate d(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - -8 - 3) + -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106 + 106 - 6*q to the form d*q + z and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 + 77 = -56*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1849 + -1841.21. Let v = 0.21 + t. Let r = v - 8.3. What is the closest to 1 in r, -1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-24)\/10)\/3 + 331014*38\/1140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000525728 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5 = -5*y, 4*o + 2*y = -0*y - 26 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2126971.98s to days.\nAnswer: 24.61773125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3477 and 16653.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 30.974, 0, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = -p - 10*k - 13, -7 = 3*p - 4*k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*z - 24. Suppose 836 = 3*x + z*t, 2*t + 202 = 2*x - 360. Suppose 3*m + x = -5*i + 1409, -4*i + 899 = m. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(4\/(-772)) + -1. Is 12 a factor of (6\/(-4))\/((-8)\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -8.999997. Round g to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 15*q + 36*q - 10*q to the form p*q + h and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101 (base 2) in base 3?\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83\/426 - -2\/71. Let w be ((-26)\/(-39))\/((-4)\/(-6)). Let q be 0 + 3 + -2 + w. Sort v, q, 5 in ascending order.\nAnswer: v, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 166*r - 397 - 427*r + 230*r. Calculate y(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + y + 0*y)*(y**3 - 3*y**3 + 3*y**3) + y**4 + y**2 - y**2 - 234 + 7*y**4 + 234.\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16786 by 109.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5193975797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.032 - -0.1431.\nAnswer: 0.1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 933493320 and 992.\nAnswer: 933494312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90)*-1*1)\/sqrt(10))\/((sqrt(147) - (sqrt(147) + 1*sqrt(147)*2)) + sqrt(147))*6*1)**2.\nAnswer: 108\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2550.275 millimeters in nanometers?\nAnswer: 2550275000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 5 - o**4 + 2)*(-5 + 0 + 3 - 1 + 2 + 0 + (1 + 3 - 5)*(-5 + 3 + 3)) in the form g*o**3 + i*o**2 + h + k*o**4 + f*o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 r, and 1 x when three letters picked without replacement from {x: 1, p: 3, v: 6, i: 4, r: 2, u: 3}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 6*t**2 - 6*t - 4. What is the remainder when b(-6) is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 10*g - 15. Let f be p(-8). Let b be (-135)\/20 + f + 0. Let d = -13\/2 - b. Sort 0.05, -3, d in ascending order.\nAnswer: -3, d, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/37999 and -34\/79?\nAnswer: 37999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/12)\/(-1) + (-1)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5289*z - 5239*z = 200 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 times 6682.2?\nAnswer: -1356486.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**2\/7 - 206*i\/7 - 208\/7 = 0.\nAnswer: -1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, h: 1, b: 6, a: 1}. What is prob of picking 1 v and 2 b?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 9*y**3 - 102*y**2 + 348*y - 708. Let c(s) = -10*s**3 + 109*s**2 - 344*s + 706. Let j(k) = 6*c(k) + 7*g(k). Suppose j(t) = 0. Calculate t.\nAnswer: 4, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 344 and 774.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 + 0.2. Which is the closest to s? (a) -12 (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 - 3*t + 3. Let l(s) = 2 - 5*s + 3 + 19*s**3 - 11*s**3 - 11*s**3. Give 3*l(x) - 5*p(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 2\/119, 5.3, 3, -2, -250?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29960 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: Suppose -147 = 4*y - 7*y. Suppose 0 = -3*u - 4 + y. Let c = 11 - u. Let k(z) = -z**2 - 2*z + 2. Calculate k(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43090 rounded to the nearest one thousand?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1632645156 to the power of 1\/2, to the nearest integer?\nAnswer: 40406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 5\/6*l**2 + 4\/9*l**3 + 2\/3*l - 2 + 1\/12*l**4. Factor n(j).\nAnswer: (j + 1)**2*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsr when three letters picked without replacement from {r: 10, s: 2}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 328, 1292, 2922, 5242, 8276, 12048, 16582?\n\"Answer: 4*y**3 + 309*y**2 + 9*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (70\/(-15))\/((-6)\/9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnffzppnnnwnpnzp. What is prob of sequence wnnf?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 5.29 (b) -4 (c) -110 (d) -3\/4 (e) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*w + 55. Let x(k) be the third derivative of -k**6\/120 + 11*k**5\/60 + k**4\/12 - 3*k**3\/2 + 28300*k**2. What is x(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5160, 10324, 15488, 20652, 25816, 30980?\nAnswer: 36144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(0 + 0 - 2*q) - 5*q + 2*q + 2*q - 145 + q - 2313 - 2440 + 230 + 127.\nAnswer: 2*q - 4541","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -20\/11, -1\/12, 2.8, -0.3, 2\/9, -1.1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 53 + 44. Suppose -2*b = w - 11, 2*w + 9 = 2*b + w. Solve 0*q - 5*h - 7 = -2*q, -b*q + d*h + 8 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 52. Let l = j - 12.7. Let c = 7.7 - l. Sort -4, -5, c.\nAnswer: -5, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 1, 2\/7 in ascending order.\nAnswer: 2\/7, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**4\/5 - 12*a**3\/5 - 22*a**2\/5 - 12*a\/5 = 0?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbe when three letters picked without replacement from {b: 2, e: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**(-12\/13)*q)))\/q**(1\/8) assuming q is positive.\nAnswer: q**(-5\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 6*n**2 + 2*n + 3. Calculate the remainder when o(-5) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(440)\/(sqrt(1100)*4))\/(sqrt(72) - (sqrt(72) + sqrt(72) + -6*sqrt(72)*3)).\nAnswer: sqrt(5)\/2040 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -4*z + 1\/3*z**3 - 7\/2*z**2 + 39. Determine s(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1864*a - 624*a - 617*a - 638*a.\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0, 107, -0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -173 + 176. Suppose 36 - 48 = -c*r. Solve r*p + 4*q - 8 = 0, q + 2*q + 6 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m - 21*m - 37 = 0. Which is the biggest value? (a) -5 (b) m (c) 10 (d) -2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-63) + (-172)\/(-42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 21*b = 132 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 2. Let g be d(0). Let z(q) = -6*q + g*q - 3 - 11*q. Let s be z(-5). What is the highest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 158*w + 96. Which is bigger: w or 2\/1529?\nAnswer: 2\/1529","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -193 + 249. Let j = o - -177. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -307 - -561. Suppose -2*j + 0*j = -o. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*p**5 - 1004878*p**4 + 997888*p**3 + 1011236*p**2 - 998204*p - 6358 = 0 for p.\nAnswer: -1, -1\/158, 1, 3179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/42296 and -47\/24.\nAnswer: 126888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 506347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/5, 5, 9\/10, 53, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3989, 3911, 3825, 3731, 3629?\n\"Answer: -4*j**2 - 66*j + 4059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 1:51 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as -3267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -15*f - 65. Let w(i) = 7*i + 32. Let l(r) = 4*h(r) + 9*w(r). Suppose 10*x = x - 81. Let v be l(x). Solve v = 3*t - 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 - 19. Suppose 6*z - r = 2*z. Sort 5\/4, z, 1 in ascending order.\nAnswer: 1, 5\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 1 - 9. Suppose 0 = 4*h - 2*b - 160, -v = -b + 2. Calculate the remainder when h is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13936872?\nAnswer: 2, 3, 17, 34159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -22. Put w, -1, 4 in decreasing order.\nAnswer: 4, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/180 and 163\/928812.\nAnswer: 13932180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -10. Let u = b + -7. What is the closest to -2 in -1\/3, 0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890661 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -184.1 - -188.1. Which is the biggest value? (a) -12 (b) -11 (c) 0 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 14*j**3 - 19*j**2 - 492*j + 510. Give d(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 21*u + 13. Let r(c) = c - 1. Let i(a) = 6*r(a) + s(a). What is the units digit of i(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0273375419 to 4 decimal places.\nAnswer: -0.0273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + (43 - 44).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -0.2, 0, 18\/257?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259691917?\nAnswer: 13183, 19699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 666040 * 3\nAnswer: 1998120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/335013 and 23\/17458.\nAnswer: 19430754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + 67. Let p = h - 64. Suppose -2*o + f = -p - 26, 5*f + 130 = 4*o. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5\/3 + 31*u**4 + 3922*u**3\/3 + 48598*u**2\/3 + 71269*u + 169037\/3 = 0. What is u?\nAnswer: -11, -1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 4. Is 46\/((-1 - v) + 1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 305255 and 109769698.\nAnswer: 548848490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 160 + 634313?\nAnswer: 634503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 17*d**2 + 3*d + 3. Let v be q(-1). Suppose v*w = 11*w - 12. Sort w, -6, 9, -5 in decreasing order.\nAnswer: 9, w, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.42 + 4.48. Let d = r + -6.2. Which is the nearest to -3\/5? (a) d (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5449 is divided by 326.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24.67 + -0.33. Is q != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((2 - 0) + 468)\/(-5*(-4)\/(-18740)). Round z to the nearest ten thousand.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 10:28 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26043 is divided by 167.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3 + 15 = 0. Let f be 9\/n*((-8400)\/(-9))\/10. Let s = f + 83. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26472 and 329688.\nAnswer: 363645864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 2711367?\nAnswer: 2711370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2597, -2590, -2583, -2576, -2569, -2562?\nAnswer: -2555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1421901 (base 12) to base 7\nAnswer: 46135024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 323524 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 66 + 3*x - 3*x + 24*x**3.\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -127, 5, 0, 3, -2, -37, 1 in decreasing order.\nAnswer: 5, 3, 1, 0, -2, -37, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpjkdde. Give prob of sequence djd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1016, -1014, -1014, -1016, -1020?\nAnswer: -1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(190)*2 + (sqrt(190) - 3*sqrt(190))*4)\/(sqrt(480)\/(sqrt(48) - sqrt(192)))*-1.\nAnswer: -4*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -46870704 and -46870701 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 11*i**2 + 2. Let d be q(11). Let b = d - -4. Let c(j) = 5*j - 17. Is c(b) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u + 30. Let g be d(20). Let n(y) = -y**2 - 9*y + 12. Let h be n(g). Suppose h*a + f = -a + 206, 60 = a - 4*f. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 585225\/7*s + 3\/7*s**3 + 2295\/7*s**2 + 49744125\/7 = 0. What is s?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -13047*h**2 + 21*h + 15. Let v(j) = 2609*j**2 - 4*j - 3. Calculate -4*m(g) - 21*v(g).\nAnswer: -2601*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 0, 2.19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 2*t + 102. Let i = -264 - -255. Let l be h(i). Solve 2*w + d = 8, 2*w + 5 = l*w + d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**3 - 2*o**2 + 5*o + 13. Let g(x) = x**3 + x**2 - 2*x - 7. Let k be 105\/(-14)*18\/(-27). Determine k*g(n) + 2*q(n).\nAnswer: -n**3 + n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50640005 to the nearest integer?\nAnswer: 7116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 4*o + 4 = 3*p, -16 = 3*p - 5*o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, t: 3, j: 13}. Give prob of sequence tjt.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 224, 222, 220, 218, 216?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1805120 and 2346656?\nAnswer: 23466560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22705*m + 22744*m + 351 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/(-4))\/((-4)\/16). Let b = f - -4. Sort 4, -5, b.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 40) + -37 - -45?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/5 and -1\/69498.\nAnswer: 347490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 - 33*v - 105. Calculate l(-10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -5 (c) -9658050\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.005 rounded to 0 decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 m when four letters picked without replacement from mammaoaooomaoo?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3 - 1406*b + 1402*b + 3*b**2 + 5*b**2. Let q be a(2). Suppose -10*y + q = 1. Solve 2*j - 25 = 5*m, 3 = y*j - m - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 280 + -268. Calculate the remainder when 539 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*j + 22*j + 25*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4189501, -8379005, -12568509, -16758013?\n\"Answer: -4189504*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10839964 and 49506?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 69766 = -2*u, 11*m = 7*m - 4*u + 69776. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p + 22*p - 36424 = -449*p - 799*p for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k - 9. Let a be s(3). Let l be (44\/a + -4)*-6. Solve 5*x + l + 8 = 2*w, 2 = -5*w - x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/36)\/(4200\/540).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -331*c + 287*c - 176 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -27 - ((-3 - 3) + 4). Let k = a + 29. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 33 (b) 0.02 (c) 0.5 (d) 1596\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.52 - -0.82. Let l = v + 16.7113. What is l rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*o + 16, -w + 22 = -o + 3*w. Let i = o - -16. Let z = i - 7. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105729 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccwwccccccwwccc. What is prob of sequence cw?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/2660 and -1\/2394?\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -485.421762059\nAnswer: 485.121762059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(468)*1 + -4.\nAnswer: -4 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*j + 55*j = 228 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1842952616?\nAnswer: 2, 230369077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*b + 0)*(-3 + 3 - 2*b) - 276*b**2 - 472*b**2 + 458*b**2.\nAnswer: -294*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 78377 (base 10) to base 15\nAnswer: 18352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -t - 16. Let q be (-4235)\/3605 - (-2)\/t. Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68829040 and 1120?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9.99886 weeks?\nAnswer: 100788.5088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 856 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m + 11*m - 13*m - 9. Let x be k(5). Let l(w) = w**2 - 1. Let a(r) = 3*r**2 + 10*r. Let o(n) = x*l(n) + a(n). What is o(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 174, 223, 298, 405, 550, 739, 978, 1273?\n\"Answer: i**3 + 7*i**2 + 21*i + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 37*f + 2110. Let d be l(-56). Solve -8 = d*c - 46 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 - 7*y + 7*y + (-8*y**3 + 2*y**3 - 3*y**3)*(-y + 2*y + 0*y) - 4*y**4 + 4*y**4 - y**4.\nAnswer: -11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 135\/((-2775)\/(-390) - 7). Calculate the highest common factor of m and 10062.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.20806 rounded to 2 decimal places?\nAnswer: -98.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17149 + 17153. Let q(l) be the first derivative of -2\/5*l**2 + 8\/5*l + 21 + 1\/20*l**w - 2\/15*l**3. Let q(g) = 0. What is g?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 730 = 515*c - 442*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2970 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a + 3*a = 13*a + 165 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56410898 to the power of 1\/3, to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7310032 (base 10) to base 16\nAnswer: -6f8ad0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1035 - 1030. Let q(x) = -x**2 - 8*x + 2. Let f be q(-10). Sort -4, v, f in ascending order.\nAnswer: f, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260, 230, 202, 176?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/7)*s*s**6)\/(s**(2\/25)*s**(-5)*s))**(4\/5) assuming s is positive.\nAnswer: s**(7444\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/(-33) - (-2)\/11. Suppose -i*w + 175 = 3*w. Suppose 28 = 4*u - 20. What is the remainder when w is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, o: 4, g: 1, p: 1, r: 3}. Give prob of picking 1 o, 1 g, and 1 x.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/663040 and -49\/47360.\nAnswer: 663040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4\/7, -7, -0.03, -0.5 in descending order.\nAnswer: 3, 4\/7, -0.03, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 2. Let l(t) = 14*t**2 - 12*t + 12. Let r(j) = j**2 - j + 1. Let o(s) = k*l(s) - 12*r(s). Let m(g) = 5*g**2. Calculate m(o(a)).\nAnswer: 20*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.217 - 4264053306.\nAnswer: -4264053305.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l - 38. Let u be m(9). Suppose u*i - 22*i = -140400000. What is i rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 4 - -2 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 861, 1721, 2581?\n\"Answer: 860*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 221534054?\nAnswer: -221534055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/14 and 67\/1494?\nAnswer: 10458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, p: 6, u: 1, f: 1, l: 1, v: 1}. Give prob of sequence fuv.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**5\/60 + 13*v**4\/24 + 35*v**3\/6 - 21*v**2. What is the remainder when 60 is divided by i(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*y**3 + 15*y**2 + 1648*y + 2 wrt y?\nAnswer: -48*y + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 928 + -811. Suppose -138*q = -r*q - 819. Calculate the remainder when 45 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 9 = 4*i, 3*i - 7 = -2*x + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**8\/3360 - v**7\/840 + v**6\/720 - v**3 - 3. Let w(g) be the third derivative of o(g). Factor w(t).\nAnswer: t**2*(t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4754\/2 - (-10 + 11). Let w(c) = -16*c + 36. Let u be w(2). Suppose -u*b - 1594 = -2*t, k = 3*t - 0*t - 3*b. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*z - 26451 + 26391 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) -2\/5 (b) -140 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 4. Let g be z(4). Suppose g = t - 1. List the prime factors of (t - 13\/(-2))*2.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r + 34*r - 2208 = 0. Let v = r + -214. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184756289 - 235.\nAnswer: 184756054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**5 + 2*q**5 - 3*q**5 + (-3 + 3 + q**3)*(0*q**2 - q**2 + 0*q**2) - 2 + 2 - 2*q**5)*(4 + 0 + 3).\nAnswer: -28*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 93433.85mg?\nAnswer: 93433850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 0*h**2 + 0*h**2)*(-h + 3*h - 3*h) - 2*h**3 + h - h + 2*h**3 + 0*h**3 - 9*h**3.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10453 + -10372. Solve 79*w = 52*w - z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4860)\/(-13122)*(35\/(-25) + -1)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1113 = 8*l + 1377 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -192*d**2 + 6*d**4 - 44*d + 0 - 64\/3*d**3 + 9\/5*d**5 + 2\/15*d**6. Factor q(a).\nAnswer: 4*(a - 2)*(a + 3)*(a + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111303 + 20401?\nAnswer: 132204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (37 - (-27 + 36)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/25)\/(-5*13\/325)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p. Let f(g) = -677*g + 10158. Let b be f(15). Let s(r) be the second derivative of -5\/12*r**4 + 0 + 0*r**b - 44*r + 0*r**2. What is i(s(a))?\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -1 + -9 - 0) + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**5\/60 - a**4\/3 + a**3 - 26*a**2. Let z be o(8). Suppose z*h + 161 = 13*h. Calculate the remainder when 61 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3231474 is divided by 102?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from {i: 8, t: 2, d: 2, z: 1}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2795 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1584) - sqrt(1584)*3) + 1*sqrt(1100) + sqrt(44)\/sqrt(36))**2*5.\nAnswer: 92455\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**9\/1008 - h**5\/60 + 2*h**3\/3 + 1. Let o(q) be the third derivative of f(q). Find the second derivative of o(z) wrt z.\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(-32)\/(-60)*10?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 10 + 16. Let w(q) be the third derivative of 1\/4*q**3 + 7\/40*q**5 + 0*q + 5\/16*q**4 + 3\/80*q**x + 6*q**2 + 0. Suppose w(t) = 0. What is t?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 962 - 574. Let y = -388 + g. Solve x + 2*x - 4 = 4*a, y = a + 4*x - 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24026808 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/(-7) - 5494\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -19936.67\nAnswer: 19936.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 1:44 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 1473435?\nAnswer: -1473431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4256686 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5138.\nAnswer: 2, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -477 + 486 - (-3 + (-2 - (-3 - -2)) - -119)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and -4.2.\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)*n)**22)**21\/(n**(-4\/3)\/(((n\/(n\/n**(-2\/13)))\/n)\/n))**27 assuming n is positive.\nAnswer: n**(-6294\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*u**3 + 307*u**3 - 148*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/46068 and -37\/30712.\nAnswer: 92136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 10 - 316*b + 248*b + 10.\nAnswer: -68*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 4, m: 1, u: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -2*m - 3\/2*m**3 + 0 - 2*m**2 + 1\/12*m**4. What is the units digit of w(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 437 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/7, -0.01, 0.5, 9, -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w + 4. Let g(c) = 3*c**2 + 22*c + 18. Let j be g(-6). Determine d(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 13) to base 11\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 407*f + 8351. List the prime factors of t(0).\nAnswer: 7, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -31 + 19*a - 7 + 0*a**2 + a**2 - 2. Let v be c(-21). Calculate the highest common factor of v and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*j = -276*j - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/14)\/(82\/492)*((-22)\/6 - 2).\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**3\/6 + j**2 - 5*j. Suppose -4*i + 8 = -2*k, i = -4*i - 4*k + 10. Let c(r) = -4*r - 7. Calculate i*c(f) + 7*q(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10014073.389 less than 33?\nAnswer: -10014040.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 5892?\nAnswer: 47136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 590007937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 60060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 214135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 k, and 1 a when three letters picked without replacement from azskak.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2602, -4930, -7266, -9610, -11962, -14322, -16690?\nAnswer: -19066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -609291 * -0.04\nAnswer: 24371.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2)*(0*y - 4*y + 2*y + (-5*y - y + 3*y)*(6 - 1 - 3))*((20*y + 232 - 232)*(-1 + 4 - 4) + 0 - y + 0) to w*y + g + n*y**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 46?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 76, 65, 40, -5, -76?\n\"Answer: -u**3 - u**2 - u + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11020022112202 (base 3) to base 15\nAnswer: -2e6a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 6\/169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -137*d**2 + 21*d**3 + 137*d**2 + (-d - 11 + 11)*(-4*d**2 + 4*d**2 - 2*d**2).\nAnswer: 23*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -14. Suppose 0 = -4*h - 4*q, h - s*q = -8*q - 6. Solve -y = h*m - 11, 2*m = 2*y - 0*y + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**3 + 3*s**2 + 10*s - 18. Calculate o(2).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -725, -2664, -5819, -10184, -15753, -22520?\nAnswer: -30479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3838746?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31182 is divided by 88?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y**2 + 54*y**2 - 16*y**2 - 18*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-14) + 52\/(-133). Let b = -333869\/5 + 66774. Let s = -0.1 - -0.2. What is the third biggest value in y, -5, s, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4\/161, 3, 2.5, 2\/7 in ascending order.\nAnswer: -7, 4\/161, 2\/7, 2.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -304 * 5098.\nAnswer: -1549792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 52*o**2 - 104*o + 216. Determine z(-54).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -332d6d2 - -1c?\nAnswer: -332d6b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*j = -j + 11, -p = -j - 2. Let t be (-4)\/p + 1 + (-16805)\/165. Let k = t - -102. Which is the third smallest value? (a) -0.1 (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 1621*k - 8128. What is f(5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 - 7 + 26 = 5*w for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -2 + 0*p**2 - 1\/4*p**4 - 1\/3*p**3 + 0*p. What is the third derivative of z(q) wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 2*c, 3*k - 4*c = -0*c. Let o be (-9 + 8)\/(1\/(-3)). Suppose 187 = 6*s + 5*s. Solve k = -5*u - o - s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) + 3\/(-4). Let x be (-38)\/114 - (-4)\/6. Suppose 4 = -3*s + 4*s, 19 = -3*z + 4*s. Which is the closest to z? (a) x (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -643 - -670.3. Let v = t - 66.3. Sort -0.3, v, -0.2.\nAnswer: v, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260 not equal to 791225\/628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + 346205?\nAnswer: 346233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*c + 7*c + 1 - 7*c - 1 - 4*c**2 to q*c**2 + l + y*c and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*o = 20, -17 = 4*k - 6*k + 3*o. Solve b + k*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113259002 to the power of 1\/3, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -957*j + 479*j + 482*j + 2 - 2. Let g(w) = -31*w - 18. Let z(d) = -92*d - 58. Let v(f) = -16*g(f) + 5*z(f). Calculate x(v(h)).\nAnswer: 144*h - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-12)*-3*1. Suppose 2*n - 6 = -2*h, n - 5 + 0 = -b*h. Suppose -7*c = -h*c - 20. Solve 3*z - 2 - 7 = -2*k, z = -c*k + 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - (-16)\/(-12))*0. Suppose 0*k + a*k**3 + 0 + 0*k**2 - k**4 - 7\/2*k**5 = 0. Calculate k.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -3 (c) 0.4 (d) 6468 (e) 0.3 (f) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b = -6. Let n be (-594)\/44*112\/(-216). Sort b, n, 2, -5 in increasing order.\nAnswer: b, -5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*z - 1543*z - 14399 - 24855 + 4639 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 12:53 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 37503*w - 12. Let r be (-24)\/(-16) + 2\/4. Suppose -r*v - 4 = -3*v. Let g be b(v). Round g to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = 4*n - 0*i + i, 180 = 4*n + 3*i. Let z be 18\/4*n\/18. Suppose -7*v = -5*v - z. Calculate the remainder when 22 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.5 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9105 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (9\/3)\/18*8\/2\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*p - 162. Let i(t) = -t**3 + 12*t**2 + 18*t - 20. Let g be i(13). Let n = -35 + g. Calculate the remainder when p is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05379 - 48.\nAnswer: -47.94621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 333342.3471 - 333358. Let l = 0.6879 + j. Let t = l - 0.035. What is the smallest value in 5, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15685 - 10976. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -4*r + 533 - 530, 3*r - 1 = -k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0 - 4. Suppose -4 = y - o, -4*o + 3*o + 5 = 0. Solve -m + y + l = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + 1 + (-2 - -4). Let j = t + -6. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1376*c + 1182. What are the prime factors of k(-10)?\nAnswer: 2, 31, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from jtjojjjopoojjtjjjs.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - g**2 + g - 1. Let y(d) be the first derivative of 16 + 5 + 5*d**2 + 2*d**4 + 2*d**3 - 8*d**2 + 4*d. Determine -4*j(u) - y(u).\nAnswer: -4*u**3 - 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 430*y - 407*y - 1719779. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/480 and 57\/305.\nAnswer: 29280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -6. Let u(o) = -o**3 - 7*o**2 - 5*o + 8. Let v be u(-6). Let r = d + v. What is the greatest common factor of r and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 11 (b) -5 (c) -3\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 2*f**2 + f + 2. Let b be k(2). Let m(d) = -d**2 - 10*d - 4. Let o be m(-9). Which is smaller: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 2*k**2 + 3*k - 4. Calculate n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184996130 divided by -4021655.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/17))**(-47) assuming g is positive.\nAnswer: g**(94\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*z = 36 + 132 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441 at most 1441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-3))\/(((-40)\/(-12))\/(-5)). Let h = -1 + 4. Let c = 22 - h. Which is smaller: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 527 and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43174949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -1b8b76?\nAnswer: -1b8b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -346 bigger than -367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -11*m - p + 28, -12 = -4*p. Suppose -9*l + 2*x + 12 = -8*l, m*l + 3*x - 21 = 0. Solve -l*u = -u - 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/1 + (-8 - -10). Let i be 4\/3*(-12)\/(-8). Solve m*r + w = r - 7, 0 = i*r - 4*w - 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 269, 297, 355, 449, 585, 769, 1007?\n\"Answer: a**3 + 9*a**2 - 6*a + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3850375806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 153*v**2 + 625*v + 471.\nAnswer: -(v - 157)*(v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 - 3320911*x + 11028449869921\/2.\nAnswer: (x - 3320911)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460270.03 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (33\/44)\/(1\/24*1\/((-96)\/(-108)))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2784 + -2784.1273. What is h rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41961781 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 19. Suppose -2*j + v = -37. Calculate the remainder when 4\/14 - 1368\/(-14) is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-3))\/(1\/(-3)). Let w be (8 - 3)*(-2)\/n. Let v(d) = -3*d**2 + 6*d**2 - 4*d**2 - 6*d + w. Give v(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*x - 37758 = 0, 0*z + z - 4*x = 12596. List the prime factors of z.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1426647\/577 or -2472?\nAnswer: -2472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 + m - 5. Let c(n) = -14*n - 318. Let s be c(-23). What is d(s)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144 - 1?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 2*m + 2, 9*m = 2*h + 4*m - 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -95*r + 90*r - 2, -10 = 5*r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 406*x**3 - 13 + 465*x**3.\nAnswer: 59*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012159 to six dps.\nAnswer: -0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -29301647152873 less than 0?\nAnswer: 29301647152873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 245262155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238 + 128 - 1052 = -14*k for k.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -334*u**2 + 2*u - 43. Let n(g) = -g. Give v(n(r)).\nAnswer: -334*r**2 - 2*r - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a second in milliseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -2*u + 2959. Calculate the greatest common divisor of 100 and u.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 3*i + 45. Let x = i - -3. Suppose 3*n = -0*n + x. Calculate the remainder when 22 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1500 or -58444\/39?\nAnswer: -1500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*1 - sqrt(220))\/sqrt(4) + (sqrt(7920) + (sqrt(7920) - (-2*sqrt(7920) - sqrt(7920))) - sqrt(7920)))\/((-2*sqrt(22)*-4 - sqrt(22))\/sqrt(2)).\nAnswer: 48*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/4 or 19417?\nAnswer: 19417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**1)**(-20\/7))**(-28) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*y - 8, 4*x - 33 = 5*y + 3. Solve 2*r + x*s = -s + 18, -2*s = r - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*c = -3 + 1, h + 5*c + 5 = 0. Suppose 4*x = -3*t - 0*x + 4, -2 = t + 3*x. Suppose 8 = -t*f, -f = -h*r - r + 16. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (66\/(-12))\/((-1)\/28). What is the highest common divisor of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, k: 2, h: 2, d: 1}. What is prob of sequence kh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167 + 9*u**2 - 34*u**2 + 167.\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3741101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/2925*15*(-10)\/(-4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160687511?\nAnswer: 409, 392879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10489840 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*n - 1665*n - 7*n**2 + 3671*n - 1663*n.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 - 53. Let i(g) be the third derivative of -g**4\/3 + 5*g**3\/6 - 133*g**2. Determine i(t).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89780 is divided by 1995.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361 = -6*r - 37. What is the remainder when r is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/16175 and 49\/65?\nAnswer: 210275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.8 - -5.80000078. What is r rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, y: 9}. Give prob of picking 1 y and 1 v.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6293, 6298, 6303, 6308?\n\"Answer: 5*m + 6288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.762338l in millilitres?\nAnswer: 7762.338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -1\/7, -7299, 0.2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 186 - 94. Suppose -u + 257 = 4*s, -u + s + p = -155. What are the prime factors of u?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = 16*l + 16 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 6*u**2 - 5*u + 7. Let k be s(-4). Let v(j) = -j**3 + 2*j**2 + 7*j - 5. Let n be v(4). Let r = k - n. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22233691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27724894 to the nearest integer?\nAnswer: 5265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*m + 71*m + 144 = 0. Solve -19*g + 6 = -m*g + 3*t, -1 = -t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/12*(-393)\/(-131)*43?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + t**2 + 2)*(5 + 1 - 3) + (3 - 3 + 1)*(-18 + 18 - 10*t**2) as g + q*t + n*t**2 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10838983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1092*c**2 - 40*c**3 + 18*c**3 + 18*c**3 + 1092*c**2 + 11*c**3.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165720875 and 250.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a century in months?\nAnswer: 13680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 13 - 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1286293696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 443906921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 6682\/1215?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 6425226*a - 6425224.\nAnswer: -2*(a + 1)*(a + 3212612)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 - 3b835?\nAnswer: -3b820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7614, 30930, 69790, 124194?\nAnswer: 194142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19597 + -19595 + (1 + 0 - 3) + -14 + 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -2*k**5\/15 - 2*k**2 + 46*k. Let y(m) = 3*m**2. Determine y(w(v)).\nAnswer: 192*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -9*r**2 + 133*r + 50. Give i(15).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 5, -2\/3, 0.4, -2.\nAnswer: -2, -2\/3, -1\/8, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mdmmmmmmmam?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.77 + -10.77. Does b = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24478 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -2, 76 in decreasing order.\nAnswer: 76, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 20*m**4 - 580\/13*m**2 - 246\/13*m + 6\/13*m**5 + 0 + 560\/13*m**3 = 0?\nAnswer: -41, -3, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 740407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5.291821ug?\nAnswer: 0.005291821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 + 15*d**2 + 10*d - 13. Let c be m(8). Let p = -0.1 + 0.3. What is the second biggest value in c, -0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7)\/(g\/g**(2\/25)*g) assuming g is positive.\nAnswer: g**(-223\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 - -1001110011?\nAnswer: 1001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b - 2. Let r(p) = -7*p - 3. Let f(t) = -3*r(t) + 5*v(t). Let n(a) = 6*a - 7. Give -5*f(x) + n(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 0.53 (c) 2\/11 (d) 520\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37793 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1)*39\/(468\/192))\/(88\/132)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 590*o - 216*o + 344*o + 324*o in the form p*o + u and give p.\nAnswer: 1042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 872.9095 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 n, and 1 z when three letters picked without replacement from {z: 5, v: 4, t: 2, d: 1, y: 7, n: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o + 2. Suppose -8 = 5*q + u, 2*q - 4*u - 8 = 2. Let j(i) = -11*i + 1. Let l(b) = -1. Let y(x) = q*j(x) + 4*l(x). What is 9*g(s) + 4*y(s)?\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33020 bigger than 33026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = z + 12, 0 = 4*p - 3*z. Suppose 2*x - 8 = -2*x. Let q = 0.33 - 0.03. Which is the closest to 0? (a) x (b) q (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3186 and 6890256?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/2400*-20*6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Let -4*r + 2 + 5*r**3 - z + 6 - r**4 + 2 - 6*r**2 = 0. Calculate r.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04+-8693\nAnswer: -8692.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 - 2*k**3 - 2*k**3)*(4*k - 3*k + 0*k).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 600\/(-800)*(-30)\/(-9). Which is the third smallest value? (a) j (b) 10 (c) 0.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2175)\/(-580)*28*4\/(-160)*4?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/3))\/z)**(-4\/5)*z\/z**(-5\/4)*z*z*z*z**(-8\/7) assuming z is positive.\nAnswer: z**(1837\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 18*z**4 - 25*z**3 + 2*z**2 + 8*z + 3. Let n(q) = -53*q**4 + 75*q**3 - 7*q**2 - 23*q - 8. Let t(l) = -3*n(l) - 8*u(l). Factor t(y).\nAnswer: 5*y*(y - 1)**2*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + -0.2. Let o = 8.9576 - -0.0424. What is the closest to p in -1, -2, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1127*k**3 - 528*k**3 + 399*k**3 + k**3 + 3*k - 3*k + (k**2 - k**2 - 2*k**2)*(-k + 0*k + 0*k) + 2*k - 2*k + 2*k**3 + 2*k**3 - k**3 + 2*k**3.\nAnswer: -1248*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -240.2 to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 0*n**2 + 7 + 33*n - 4\/5*n**5 + 0*n**3 + 3\/4*n**4. What is the derivative of l(o) wrt o?\nAnswer: -16*o**3 + 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -96 - -2 - (-70)\/14. Let r = j + 91. Solve 5*s - 3*l + r*l = -4, -3*l + 2 = -5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184 - 164 + 1650*j + 348.\nAnswer: 1650*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.8 (b) -2\/3 (c) -186 (d) 6 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 6*j + 20. Suppose 2*k - j*p + 7*p = -114, k - 2*p + 59 = 0. Let q = k - -51. Solve -4*h - 4*g + 5*g + 16 = q, 5*h - 13 = 3*g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -613 divided by -2?\nAnswer: 613\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**6\/360 + l**5\/60 - l**4\/24 - 2*l**3 - 6*l**2 - 1. Let h(t) be the second derivative of r(t). Calculate h(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**6 - 9032578*o**3*x - 6*o**2*x + 76*o**2 + 31*o - 31*x wrt o.\nAnswer: -120*o**3 - 54195468*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 - 5*s**2 - 11*s + 1. Determine c(-5).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (26\/8)\/((-3 - -13)\/40). Solve -4*k + 8 = 4*q, -m*q = -5*k - 10*q + 34 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 122 = 7*k - 12*k, 0 = -4*k + 3*b + 97. Solve -7*j - k = -5*w - 8*j, 2*j = 2*w + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 29518 = -4*f, 51*f + 16*i - 376384 = 12*i. Is f a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 take away 20?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*f - 293 + 269 + 56*f.\nAnswer: 194*f - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-42))\/((-5)\/(-45))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19260 + 30134. Is 83 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.24538.\nAnswer: 0.12269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o - 7. Let i be c(8). Let u = i - -15. Calculate the greatest common factor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.03 (b) -3 (c) 1\/2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 5. Let i = 1084.1 - 1084. Sort 0, i, n in increasing order.\nAnswer: n, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**2*l**3 - 14*i**2*l**2*z - 26*i**2*z - 178*i*l**3*z - i*l**2*z + i*z + 2*l**3*z - 3*l**3 + 5*l wrt l.\nAnswer: 18*i**2 - 1068*i*z + 12*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 5*z - 7, 0 = -3*r + 3*z - 5*z + 8. Put -5, r, -3 in decreasing order.\nAnswer: r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g**2 - 25*g - 48. Give o(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7840629437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5477, 21899, 49267, 87581?\n\"Answer: 5473*s**2 + 3*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 24, -3*t = 4*b - 5 + 22 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -89*i + 182. Let q(n) = -46*n + 90. Determine 2*m(w) - 5*q(w).\nAnswer: 52*w - 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18982010*u**4 - 7497*u - 240 wrt u.\nAnswer: -227784120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1202021 (base 3) to base 16\nAnswer: 4fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1791.5 - 1771.5. Sort b, 4.6, -0.3.\nAnswer: -0.3, 4.6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 6 (b) -0.051 (c) 1\/4 (d) -0.2 (e) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*m = -13*m + 188. Let w = 9.9 + -9.981. Which is the second biggest value? (a) w (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14184334 divided by 25.\nAnswer: 14184334\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -7. Suppose 18 - 12 = 3*n. Is v not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 18 - (-83 + 119)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v. Let r(l) = 30600*l. Calculate r(p(g)).\nAnswer: -61200*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 - 8 = 0. Suppose 2 + 3 = h. Suppose 3 = 4*t - h*v, -3*v - 12 = v. Sort -1, s, t in descending order.\nAnswer: s, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from aitbispppbpb?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.883052 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192.9712 millennia to decades.\nAnswer: 19297.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.3 in -1, 0.2, 1, -0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 330607 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3274 + 3257. Put 1, 4, i in decreasing order.\nAnswer: 4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by -5\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 5. Let d be n(0). Let y(w) = w**2 + 8*w + 5. Give y(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-204)\/1326*39\/9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s + w - 48 = 0, 21*w - 19*w = -2*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33526297 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1 + 6*o + 5433*o**2 - 5443*o**2 + 4. Determine x(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30863023.\nAnswer: 103, 109, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38817 is divided by 6438.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j - 94. Determine z(26).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-18)*54\/1638*39. Let f = 10.27 + -10. Which is the second biggest value? (a) 0.1 (b) f (c) 5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhvbxkkt. What is prob of sequence xbk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 6*n - 9. Let r be c(-6). Let o be (-3 - 6\/(-2)) + 15. Let u = o + r. Calculate the remainder when 21 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 73, 151, 237, 331, 433?\n\"Answer: 4*x**2 + 66*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0202904 times 823?\nAnswer: 16.6989992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*((-15)\/6 - 0). Let c = 0.01 - -0.09. Sort m, -3, c.\nAnswer: m, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19)*-2)*-1 + sqrt(19) + 0 + -3 + 1*sqrt(95)\/sqrt(5)*-1.\nAnswer: -3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6616*u + 2130 = -6829*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 105 = 5*u, 41*u - 44*u + 3*s + 87 = 0. What is the greatest common divisor of 30 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - (sqrt(112) + sqrt(112) + -1)*-3)*2 + 2 - (-4 + (sqrt(112) - (1 + sqrt(112))) + sqrt(112) + 2 + 0))**2.\nAnswer: -104*sqrt(7) + 18929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)\/b)**(-2\/13) assuming b is positive.\nAnswer: b**(14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*l + 62 = -98, -3*z - 5*l + 152 = 0. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 429057 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -3, -9, -5, 0, 2\/15, 0.2, -6012?\nAnswer: -6012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.15 - -0.6. Let j = -12.05 + 12. Let l = k - j. What is the closest to l in -1\/6, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 17.4, -6, -0.2, -2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a - 4. Suppose 0 = 5*p - p + 3*g + 43, -13 = 4*p - 3*g. Let k be y(p). Suppose -2*l + l + k = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5012767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3 in 0, 8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 507? (a) -5 (b) -2 (c) 13 (d) 0.3 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1, -32, 3 in increasing order.\nAnswer: -32, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7, 17, 39, 79, 143, 237, 367?\n\"Answer: k**3 + 3*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*y + 9. Suppose 4*o + 4 + 16 = 0. Let v = y + o. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35093*s + 17513*s + 17580*s - 74*s**2.\nAnswer: -74*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*t - j - 10, -2*j = -4*t + 14. Let i be (-1 - 1)\/(1 + -3). Let n be i + ((-4)\/(-1))\/4. Solve s + n = 1, -4*s = t*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - c + 6*c)*(0 - 2 + 9).\nAnswer: 28*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + a**2 - 4 + 4*a**2 - 5933*a + 12*a**2.\nAnswer: 17*a**2 - 5933*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -23, -4, 49, 148, 305?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 437479114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1251*i - 22696 = 13583 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2. Let y(i) = -3*i**2 + 4*i + 4. Let p(n) = 2*n**2 - 3*n - 3. Let l(w) = 4*p(w) + 3*y(w). Calculate l(o(z)).\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {t: 2, f: 1, d: 1, q: 8, g: 8}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/21 - (22\/30)\/(-1). What is the third smallest value in -2\/9, 97, g?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1755434.\nAnswer: 2, 563, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1805 + -0.043\nAnswer: -0.2235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3540 + 3542. Solve o*a + 3 + 1 = k, -k + 5*a = -4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-11 - (0 - 11)) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969\/(-2)*(-16)\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(6\/(-9))*(0 - 4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124\/7*w**2 + 2\/7*w**3 + 1922\/7*w + 0 = 0. What is w?\nAnswer: 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (sqrt(78) - -1*sqrt(78))*3 - sqrt(78))\/sqrt(6).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 33*o + 192. Let x be p(37). Solve -192 = 68*j - x*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*k + 64, -2*l - 65 = -7*k + 83. Calculate the least common multiple of k and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 582012 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-8))\/(2\/(-1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(1 + -2 + 0))\/((-57)\/513).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293664 = -2198*q - 1879*q - 1075*q for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.02407 - 0.0534\nAnswer: -0.07747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 49. Suppose -56 = -5*z - 4*o, 5*o + 9 = z - 8. What is the smallest common multiple of a and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9968 to 1 dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**4\/4 + 67*h**3\/6 - 867*h**2. Give x(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, -2\/7, -0.2, -28\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129 and 117725787.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (93\/186)\/(68\/(-240)) and -32\/799.\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-7)\/2)*(-24)\/(-15). Suppose o*n = -0*n + 12. Solve s + 4 = 4*v - 0, -n = -4*s - 3*v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3990 = 137*a - 167*a. Round a to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 3 = 852. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 - (253 - 258).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (104*m**2 + 388*m**2 - 268*m**2 + 1151*m**2)*(0*m + m + 2*m) in the form j*m**3 + a*m + l + d*m**2 and give j.\nAnswer: 4125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 19. Let t be s(-16). Suppose z - 2*l - 3*l - 26 = 0, -t*z - 3*l + 60 = 0. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 22*d - 5*h + 15 = 0, 4*d + 3*h = 17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 - -52. Let c = -20 - q. Sort -1, c, -4 in decreasing order.\nAnswer: -1, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 7*m + 2. Let f(a) = -a**2 - 6*a + 2. What is -6*f(v) + 5*i(v)?\nAnswer: v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7462?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 4*q**2 + 5*q. Let g be (-51)\/9 + (-6)\/(-9). Let n be y(g). Which is the closest to -1? (a) n (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10*g - 12. Let z(k) = -9*k - 8. Let w(m) = 6*y(m) - 7*z(m). Give w(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830*m - 269*m = 10470 + 34971 for m.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**4\/4 - 82*j**3 - 498*j**2 + 254*j + 3. Let d(n) = 0. Calculate n.\nAnswer: -2, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 2*g**2 - g**2 - 3261*g + 3261*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*a**2 + 48*a**2 - 91*a**2 + 1 + a - 18*a**3 - 4 + 1 as y*a**3 + b*a**2 + d + u*a and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 372 - 1972 = 0. Is k a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152.9 - 148.9. Which is the closest to -1? (a) z (b) -11 (c) 1 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 8*o - x + 1 = 0, -10 = 2*x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 1. Let j(q) = 7*q**2 + q - 1. Let y be j(1). Let u be p(y). Is u less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x. Let i(g) be the second derivative of -16*g**3 - g**2 + 8*g - 9. Calculate m(i(a)).\nAnswer: -288*a - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4014.6 times -0.51?\nAnswer: -2047.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 74*z + 6. Determine o(-2).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20048 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-45)\/(-21)*(-28)\/(-8). Let y = 1127\/150 - n. Is y less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tstttttsst. What is prob of picking 1 t and 3 s?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, g: 1, s: 1, o: 1, a: 1, k: 1}. What is prob of picking 1 o, 1 g, and 2 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 9*s - 261. Determine p(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1205, 13460, 46729, 111518, 218333, 377680?\nAnswer: 600065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24076\/21 + -1146. Let f = 91056 + -91056. Which is greater: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*d + 131217 + 86*d + 144547.\nAnswer: 2*d + 275764","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*h - 6 = 0. Suppose -q - 1 = -4*o + 10, 0 = o - h*q + 11. Solve -2*t + 2 = -o*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -766168, -2, 1, -1 in ascending order.\nAnswer: -766168, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + -2 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, -4, -90.\nAnswer: -127, -90, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 2*n + 4. Suppose -6*z + 4*d = -8*z + 10, 4*z + 3*d = 15. Calculate k(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from teekettettmtmtkete?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15.1 (b) 1\/4 (c) 7.6803\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + (3 + sqrt(52) - (sqrt(208) + 2))**2 + -5.\nAnswer: -4*sqrt(13) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j. Let s(d) = -25077502*d. What is l(s(q))?\nAnswer: 75232506*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 x when four letters picked without replacement from xxxbxbbxbbxbb?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 10688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1044*f - 13*f**2 + 11*f**2 - 3669*f - 4250*f + 4*f**2 to the form w*f**2 + l + v*f and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 862*t**2 + 378*t**2 + 336*t**2 - 3 + 3.\nAnswer: 1576*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*c - 5*m, -6*m + 16 = c - 2*m. Suppose 2*z + x = 6, x - c = -z - 2. Calculate the least common multiple of 32 and z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 10. What is the tens digit of (-187)\/(-5) - 6\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 21*y**2 - 7*y + 7. Let r(b) = -8*b**2 + 43*b - 4. Let q(m) = -17*m**2 + 73*m - 8. Let w(j) = 3*q(j) - 5*r(j). Give 4*f(c) + 7*w(c).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28479?\nAnswer: 3, 11, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -11, -5 in descending order.\nAnswer: 5, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 6*p**2 + 8*p - 2. Let u(n) = 10*n - 23. Let y be u(3). Determine f(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/126 and 1\/(-16)*-35*(3536\/(-1170) - -3).\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-64)\/(-24) - 2) + 16\/(-24). Let j(f) = 3*f - 30. Let n(a) = -a - 1. Let z(q) = j(q) + 2*n(q). Determine z(x).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2789520 and 22?\nAnswer: 30684720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5940 - -3306. Suppose 0 = 5*m - r + 196. What are the prime factors of m?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 13322.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n = 24. Let a be 5\/2 - (-4)\/n. Let z be 11\/(6\/2 - a). Solve d = 4*h - 17, 1 = -d + 3*h - z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 7:10 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35143 - 21580. Is 33 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/9)\/(2\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18432 - 18653179\/1012. Is g equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*i**5*z + 14*i**3*z**2 + i**2 + 3*i*z**2 + 5*i wrt i.\nAnswer: 780*i**2*z + 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-1) + -4 + 2. Is ((-2)\/(-5))\/(a\/(-15)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yeyy when four letters picked without replacement from {i: 3, e: 1, y: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3159019 and 742376.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -195 - -228. Solve -f = -12*f - t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 23*g**2 + 418*g + 62. What is s(35)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-1)\/(-6) + 5\/3. Let a be (-102)\/24 - (-3)\/((-6)\/(-8)). Let w = -0.46 - -0.06. What is the nearest to a in y, 4\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-2))\/(3\/(-24)). Suppose -3*t + 42 = 5*z + 21, 0 = -5*z + 3*t + 9. Solve z*m = 4*m + k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -5, -2, 134?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39)\/(-12) - 3 - 114540\/(-16). Suppose n - 1883 = -5*r + 490, -3*n - 5*r = -t. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3, -52, -135, -252?\n\"Answer: -17*a**2 + 2*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1855 - 1496*n + 927 + 928 as v*n + m and give v.\nAnswer: -1496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1040 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005884766 to 6 dps.\nAnswer: -0.005885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -362 (base 8) to base 6\nAnswer: -1042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 0*a - a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55602\/169 at least as big as 328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 55521?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.5 - -1.5. Let x = m - 7.3. Put -4, x, 0.2 in ascending order.\nAnswer: -4, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 3) to base 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 - 44. Suppose 0 = -5*d + 3*p, 4*d + 3 = 4*p - 5. Let j = -8 + 13. Solve j*b = -s - i, 4*b = s + d*b - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -6a?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -35888*q + 71750. Determine p(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = c + 2*b, 5*c - 5*b - 35 = -160. Let y be 2\/(-2) + 6*5. Let k = c + y. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*l - 3*a + 19, -39 = 3*l - a. Let o(b) = -b**3 - 7*b**2 - 3*b + 14. Let m be o(-6). Let d be m\/l*(-36)\/(-54). Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 8*f + 2. Let j be x(7). Suppose -4*h - 10 = -22. Let b(y) = 5*y**2 - 3*y + 3. Let q(z) = 9*z**2 - 5*z + 5. Determine h*q(v) + j*b(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 4*p**2 + 2*p - 5. Calculate q(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 23 = -z, -3*u + u = 3*z - 25. Suppose 0 = z*x - 14*x + 114. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 14*r**2 + 18*r - 65. Let x = 5735 - 5747. What is y(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -8 + 2. Suppose -j*a + 50 = 77. Put 3, -4, a, -3 in descending order.\nAnswer: 3, -3, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4265, 8524, 12783?\nAnswer: 17042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/4 + -8*2. Let t(u) = -21*u - 119. What is the hundreds digit of t(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -448, 235, 918, 1601?\n\"Answer: 683*o - 1131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61\/3 - 21. Let u = -107\/303 + 2\/101. What is the closest to g in -1\/9, u, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q = -120. Calculate the smallest common multiple of 8 and 9\/q - (-83)\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p + 7. Let o(q) = -13*q - 20. Give 6*o(d) + 17*z(d).\nAnswer: -10*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7404, -7403, -7402, -7401, -7400?\nAnswer: -7399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1755*m + 423043. Give r(-241).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105 (base 7) to base 14.\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.1 - 6.1. What is the closest to s in -4, -2\/17, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -24*z**2 - 599*z + 20. Calculate x(-25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = d + 2298, u + 87 = -2*d + 867. What is the highest common factor of u and 416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 646932*c - 646937*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175273.119us in weeks?\nAnswer: 0.0000002898034375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**10)**(-34))**(-39) assuming r is positive.\nAnswer: r**14586","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -14. Let t(u) = 2*u**5 - 6*u**4 - u. Let n(d) = -d**5 + d**4 - d. Let w(r) = j*t(r) + 6*n(r). Find the second derivative of w(m) wrt m.\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 1\/6*r**4 + 0 - 1\/3*r**3 + 0*r**2 + 5*r. Find t, given that x(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/6*2 - -6. Suppose -4 = -g + c. Let b(j) = 3*j**2 - 3*j - 11. Is b(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**2 + 3*x**2 - 3*x**2)*(2*x - 2*x - 2*x + (-x - 2*x + 4*x)*(5 - 5 + 5) - 2 + 2 - 2*x)*(-3 + 3 - 2).\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -4. Suppose 0 = 5*u - 11 - 4. Suppose 3 = f, -u*f = 5*w - 2*f - 3. Sort 1, w, o in decreasing order.\nAnswer: 1, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f**2 - 4525*f + 10 + 4526*f + 3*f**2. Calculate w(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45593 + -226709\/5. Let q = s + -252. Let x = 0.0304 - -1.9696. Put 11, x, q in ascending order.\nAnswer: q, x, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + -5?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -4*u - 3*c, 5 = 4*c - 3*c. Solve 17*f = u*f - 26 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -848 - 644 - 2858*m + 2347 - 855.\nAnswer: -2858*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2. Let c(h) = 2*h + 21. What is n(c(r))?\nAnswer: -4*r**2 - 84*r - 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4863371863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhnh when four letters picked without replacement from nhnnnnnnhhnnhnhhnnn.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.38 + -0.02. Let n = -733 + 725. Which is the second biggest value? (a) u (b) 1\/4 (c) 0.4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 69, 2\/3, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 3*h**2 - 6*h + 0 - 3\/20*h**5 - 5\/2*h**3 + h**4. Factor f(u).\nAnswer: -3*(u - 2)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4760 + 5*o**2 - 4760 - 2*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t**2 + 7*t**4 + 5*t**2 - 6*t**4)*(181 - 86 + 123)*(2 + 1 + 0) - 3*t**4 - 1 + 1 in the form r*t**2 + h*t**3 + x*t**4 + c + s*t and give x.\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 975 and 217649535.\nAnswer: 217650510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 + -69. Let p be (-25 + (-1)\/1)*j. What is the greatest common divisor of p and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 93*m**2 + 3*m - 14. Let f be b(3). What is the greatest common factor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0313008 - -439.147\nAnswer: 439.1156992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/9)\/w**(1\/13)*(w\/(((w**(-1\/2)\/w)\/w*w)\/w))**(-3\/5) assuming w is positive.\nAnswer: w**(-2807\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2898 - -3015) + (-2 - 177).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -747*d + 641*d = -605*d + 12475 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, u: 2, s: 1, z: 1, g: 2}. What is prob of picking 1 s, 1 g, and 1 z?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + u**2 - u. Let s(a) = -a**2 + 6*a + 5. Suppose 5*g - 27 = y, 0*y = -y - 2. What is the lowest common multiple of s(g) and k(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5225, 5316, 5473, 5708, 6033?\nAnswer: 6460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 3. Determine c(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 9*h**2 - 14*h - 23. Calculate the least common multiple of 3 and w(-10).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.86611 centuries to decades.\nAnswer: 98.6611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -96312 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*f - 13915 = 71005, -q - 2*f - 42474 = 0. Let n = 11187 - q. Suppose 0 = 3*i - 99347 - n. Round i to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.94 + -2. Let q = -2.06 - m. Sort -3, -1, q in descending order.\nAnswer: -1, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 9:57 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 26. Suppose 2*a + 12 = -g*a. What are the prime factors of (3 + (-13)\/a)*10?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -3. Let b be 5\/1 + -2 - 1. Suppose 3*d = -3, -3*o + b*d + 2 + 9 = 0. What is the closest to w in -1, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3832659 to the power of 1\/2, to the nearest integer?\nAnswer: 1958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6841 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 318*a + 139*a + 150*a + 324 - 125*a wrt a?\nAnswer: 482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 561.0451 grams to micrograms.\nAnswer: 561045100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8685 divided by -10432?\nAnswer: 8685\/10432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 2*i - i)*(2 + 5*i**3 - 2) + 117*i**4 + 16633 - 16633.\nAnswer: 127*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -26912\/5 - 9584\/5*k**2 - 18\/5*k**4 - 29696\/5*k - 768\/5*k**3 = 0. What is k?\nAnswer: -58\/3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 95336?\nAnswer: 95336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + s)*(0 + 8 - 1)*(2 + 0 - 1).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50 - 26 + 282*r - 25 + 133*r + 35*r to b*r + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - 3*w**3 + w**3 + (0 + 1 - 2)*(-1 + 2 + 2)*(-2*w**3 + 2*w**3 - 2*w**3).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 618961 to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 392523900 rounded to the nearest one hundred thousand?\nAnswer: 392500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 4*y**2 + 3. Let p(q) be the first derivative of -q**3 - 2*q + 6. Give -3*p(c) - 2*v(c).\nAnswer: 2*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3505 (base 8) to base 5.\nAnswer: 24421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -337*q**6\/60 + 13*q**4\/8 + 4*q**3\/3 - 5*q**2 - 224*q + 1. Find the second derivative of u(r) wrt r.\nAnswer: -4044*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + (-210)\/8)\/((-5)\/(-20)). Let m = x + 93. Solve 5*b + 11 = -5*o - 14, m = -2*b + o - 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, f: 4, i: 3, q: 2}. What is prob of sequence tiif?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7\/3 (b) 1\/4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwm. What is prob of sequence wm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 29*q**2 - 62*q + 80. Calculate the least common multiple of r(-31) and 1616.\nAnswer: 8080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (0 - -11608) + ((-17)\/(-2) - 192\/128)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -464, -1, 1, 16846, 0 in ascending order.\nAnswer: -464, -1, 0, 1, 16846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -57, -119, -235, -423?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 492, 1050, 1816, 2790?\nAnswer: 3972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 243\/23 - 7569\/736. Let o = t + 83\/160. Determine x so that 0 - 2*x**4 - 2\/5*x**2 - 8\/5*x**3 - o*x**5 + 0*x = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x - 4*w + 62 = 0, 1062*w + 20 = 1064*w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, i: 1, o: 2, j: 4}. What is prob of sequence oji?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -123, -260, -481, -780, -1151, -1588?\n\"Answer: s**3 - 48*s**2 - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.62 (b) 95 (c) -40\/9 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22720, 90961, 204694, 363919, 568636?\n\"Answer: 22746*m**2 + 3*m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*r - 156*r = -297 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2346? (a) 7 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/7 (b) 31 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(8\/15))\/(((n*n**(-6\/13))\/n*n)\/n)*n\/(n\/n**44)*n*n*n**28*n assuming n is positive.\nAnswer: n**(14806\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 119.6 + -106.604. Let u = -13 + g. What is u rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.769, 2\/29, 3\/2 in decreasing order.\nAnswer: 3\/2, 2\/29, -0.769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 6*r**2 + 8*r + 3. Let w be x(-7). Let o be (-1)\/w*4 - -2. Find s, given that 0 - 1\/6*s**5 - 1\/6*s - 2\/3*s**2 - 2\/3*s**4 - s**o = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 29. Solve k = 9*v - 10*v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 232 + 486*w**3 + 331*w**3 - 1121 + 242*w**3 wrt w?\nAnswer: 3177*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4315\/8622 - 2\/4311. Determine n, given that y*n**3 + 0*n**2 + 0 - 1\/2*n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**3 + 9*l**2 - 95*l - 469. Give r(-10).\nAnswer: 5381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 53, 106, 161, 218, 277, 338?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*k + 6*b - 270, 3*b = 2*k - 124. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1321320 (base 5) to base 16\nAnswer: 675c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -381 + 606. Let c = h - 227. Let f = 21\/10 + -23\/30. What is the closest to -0.2 in 0.5, c, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-4)*(-5)\/2. Let k(a) = -a - 5. Let p be k(s). Let q = -3 + 3. Are q and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwgggw. What is prob of picking 3 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19557697 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(10\/(-8)) + (-13 - -9). Suppose x = 4*g + 9 - 17. Which is the nearest to 1? (a) -1\/8 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2399391512.\nAnswer: 2, 7, 42846277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50172 - 4?\nAnswer: 50166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z. Let n(d) = -d**2 - 4*d + 7. Let h be n(-5). Suppose -6*v = -8*v + 14. Let b(s) = -v*s**2 + 4*s**2 + s**h. Give b(q(y)).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*z - 12*z + 24*z)*(-2*z**2 + 2*z - 2*z) as h + b*z + m*z**2 + d*z**3 and give d.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -386, -872, -1546, -2402, -3434, -4636?\nAnswer: -6002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 27.53905 and -0.84?\nAnswer: 28.37905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - -11a6488?\nAnswer: 11a6492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3775*i - 1792. What is the ten thousands digit of n(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2944*h**2 - 2502*h wrt h.\nAnswer: 5888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 260.6966l to millilitres.\nAnswer: 260696.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8094*v + 9090*v - 31872 = 0 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1 + -5)**2*3*-1 - ((sqrt(128) - sqrt(8)) + 1 - sqrt(8) - (-4*(sqrt(8) + sqrt(16)\/sqrt(2)) + sqrt(8))).\nAnswer: -55 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-146)\/(-4) + -301 + 265.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 3*j = 143, -l = 43*j - 42*j + 13 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13152 - -1?\nAnswer: -13151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237, -228, -221, -222, -237, -272?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 118823419537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.062 and -0.007.\nAnswer: -0.000434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 550060 - 2?\nAnswer: 550057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -920\/107?\nAnswer: -920\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m**3 - 19*m**3 - 299*m**3.\nAnswer: -336*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10892 is divided by 418.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3288.5 plus -18.4?\nAnswer: -3306.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(18 - (-387)\/(-21))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33772 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-7)*13\/(-546)*7.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 9:30 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 6:08 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 423*r**6*z - 65*r**2*z + 15*z wrt r?\nAnswer: 50760*r**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-268)\/9715*-5*-1.\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -62. Calculate the least common multiple of 18 and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 3*k + 5*c, 5*k - 4*c = -2*c + 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -7*s + 162. Give q(25).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 3*h + 2*h)*(-5*h + 0*h + 4*h) - 3*h**2 + h - h - 8*h + 17*h**2 + 8*h + 2*h**2 - h**2 - 5*h**2.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cymdcddyhd. Give prob of picking 1 y and 1 c.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46596 - -46551.809. Let h = x - -0.191. Which is the fourth biggest value? (a) h (b) -0.3 (c) 3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(52\/312)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6591255?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.4 or -10051?\nAnswer: -10051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15173644 and 0.5.\nAnswer: -7586822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 9 = -7*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, 10.4902, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4818 divided by 2\nAnswer: -2409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 5:19 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36)\/48 + 0\/(-3). What is the fourth smallest value in 1\/4, c, -2, -49, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 315 and 700.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2) - 2*sqrt(2)) + sqrt(2) + (-1*sqrt(24) + sqrt(24))\/sqrt(12) + 4 + (sqrt(14)\/(1*sqrt(700)))**2*3.\nAnswer: -sqrt(2) + 203\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 14 - 51 = -3*j, 0 = -3*j - 2*f + 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + 125?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-5 + (4 - 6) - -9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 10 = 4*v, -20 = -48*v + 53*v + 2*j. Suppose 0 - 8\/3*t**3 - 2*t**2 - 2\/3*t**4 + v*t = 0. Calculate t.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 - 2*m**2 + m**4 + (3*m - m**3 - 3*m)*(3*m - 4*m + 0*m) + m**4 + 6*m**4 - 4*m**4 as f*m**2 + q*m + n*m**4 + o + r*m**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -11*u**2 + 14. Let p(l) = 11*l**2 - 15. Let a(h) = -2*p(h) - 3*s(h). Differentiate a(f) wrt f.\nAnswer: 22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15541 - 15540. Sort 8, z, 3, 0.1, 0.5.\nAnswer: 0.1, 0.5, z, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/8 + 3\/(-12). Let m be 1\/p - 2\/3. Let z = -0.464 + -0.536. What is the closest to m in 1\/8, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -112. Suppose -27*k = -22*k - q. Solve -m - 2*m + k = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen quarters of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8800 != -8863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mggm when four letters picked without replacement from {m: 2, g: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w - 1. Let i be z(6). Suppose -b - 4 = -10. Suppose -c - 21 = -i*a, -4*c = -a + b*a - 41. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 6:59 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**3 + 13*j**2 + j + 50. Let t(h) = -h**3 - 4*h**2 - 17. Let z(f) = 6*c(f) + 17*t(f). What is the units digit of z(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 16. Let v be f(0). Suppose v = -3*b + 7*b. Differentiate -b + 2 - i**2 + 8*i**2 - 2*i**2 with respect to i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5300 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 125*q - 1796*q**5 + 901*q**5 + 891*q**5 wrt q.\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 20*i**2 - 3296*i + 30. Calculate y(165).\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 16*d + 18. Let n be u(17). Put n, -4, -1, 8 in descending order.\nAnswer: 8, n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 4)*((8*r - 8*r + 10*r**2)*(1 - 2 + 0) + 3*r**2 + r**2 - 5*r**2) + (-r**2 + 0*r**2 + 2*r**2)*(-2 + 5 - 1).\nAnswer: -31*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10887 is divided by 436.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1152 and 1028592.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from {u: 2, z: 1, j: 2, f: 1, a: 7, m: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732627 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*l**3*v**2 + 3*l**3*v + l**2*v - 2*v**3 + 4*v wrt v?\nAnswer: 34*l**3 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 9 - 5)*(-15*s + 14*s - 18*s) to the form f*s + a and give f.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15473, -57723, -126761, -222587, -345201?\n\"Answer: -13394*o**2 - 2068*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264, 994, 2212, 3918, 6112, 8794?\nAnswer: 11964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-5)*(5 + -10). Suppose 4*c + 4 = -3*r, 7*c = 4*c + 3*r + i. Suppose -z = c*u + u, z + 2*u - 2 = 0. Is 5 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3*j + 35 = 0, -2*n + 6*j = n + 46699 - 46639 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2569*c**3 - 2544*c**3 + 1 + 4974*c**3 - 2*c)*(-3*c + 2*c + 2*c) to the form y*c**3 + l + z*c**4 + m*c + p*c**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -b + 5*b, -2*n + 3*b - 9 = 0. Suppose n*q + q = 8. What is the common denominator of 50\/7 and 3 + q + 26\/(-8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044599187 take away -87?\nAnswer: 87.044599187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*z**5 - 32*z**4 - 156*z**3 - 68*z**2 - 8*z = 0 for z.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-500)\/(-20)))\/(2\/310)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**3 + 3*f**2\/2 + 5*f + 9. What is the derivative of k(u) wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1716\/95, -1, 4, 1\/4, 2, -37?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g*o**4 - 2*g*o**3 + 225*g*o - 2*g + 6270 with respect to o.\nAnswer: 16*g*o**3 - 6*g*o**2 + 225*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*x**3 + 161*x**3 - 5241*x + 5241*x.\nAnswer: 51*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 1 + 11 = -2*p, 5*f = 5*p + 25 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 515?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.099 + 0.399. Suppose 4*h + 664 = -144. Let i = -3028\/15 - h. Which is the second biggest value? (a) -1\/5 (b) k (c) 1 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2635 (base 9) to base 11.\nAnswer: 1537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 186 + 206 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/7)*q**(1\/2))\/(q**(-2\/7))**(-5) assuming q is positive.\nAnswer: q**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 261 = -6*i. Let s = i - 7. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*5*(-5 + -5 + -4 + sqrt(272) + -1)*-5)**2.\nAnswer: -2700000*sqrt(17) + 11182500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - x + 66. Let d be r(0). Let s be ((-1)\/(-3))\/(11\/d). Let z(j) = 55*j**2 - 10*j - 2. What are the prime factors of z(s)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11796\/983)\/((-3)\/16).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 372.6 - 373. Let f = 1 + 0. Put w, -4, f in descending order.\nAnswer: f, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/1087735 and 56\/98885.\nAnswer: 1087735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9185552*z - 8729276.\nAnswer: 9185552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3023 to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 (base 6) in base 5?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/520)\/(17\/(1020\/(-24)))*(-44)\/8.\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*w - 5. Let g(v) = -1 + 4*v - w - 2*v. Let x be g(6). Calculate the highest common divisor of x and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5))**(16\/5)*((q*q**(-2\/27)*q)\/q)\/(q*q*q**(-5)*q) assuming q is positive.\nAnswer: q**(1111\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41.94 + 0.66. What is k rounded to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1417047?\nAnswer: 3, 472349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167 + 73 + 36 + 432 - 7*s.\nAnswer: -7*s + 708","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 24*y = 22*y + 10, -130 = -26*y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 4. Let f = 14 + -18. Let y(q) = 2*q - 9. Let i(a) = f*y(a) - 9*o(a). Let k(b) = -3*b. Determine i(k(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 1:51 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12351b3 (base 13) in base 15?\nAnswer: -76ddd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/7 or 2.4257?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 47840 + 12586 = 0. What is the highest common factor of x and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*b - 3962 = 254*b + 148*b - 32668 for b.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*a + 3 - 4)*(-88 - 95 + 65) + (-4*a + 5*a + 0*a)*(0 - 2 + 4) + 3*a - 6*a + 2*a + (-4 + 4 - 2*a)*(0 + 3 - 4) + 2 - 2 - a.\nAnswer: -352*a - 236","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 628020 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/11, 0, -3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**4 - 978*c**3 + 984*c**2 + 978*c - 981 = 0.\nAnswer: -327, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**3 - 121*h**2 - 556*h + 139. What is t(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + q**2 + q. Let n(l) = 2*l - 2 - 7*l**2 - 4*l + 2. Let p(a) = -2*f(a) - n(a). Find the third derivative of p(u) wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + sqrt(72)*-2 + -5 + sqrt(72)*-1*5*3))**2.\nAnswer: 32640*sqrt(2) + 334528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 2:03 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 7*i**2 + 4*i - 11. Let s be p(-5). Let x(j) = -j**3 + 18*j**2 + 25*j + 32. What are the prime factors of x(s)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 257683 divided by 2029\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338980 is divided by 48415.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -106*a**5\/5 - 13*a**3\/3 + 2*a + 155. Find the third derivative of f(r) wrt r.\nAnswer: -2544*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*z + 11 = 0, -2*t - 4*z + 37 = 9. Suppose -f = -u - t, -f + 3*u - 99 = -5*f. What is the greatest common divisor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqf when three letters picked without replacement from tttqtqtqftffqqfqtq.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 913, 1831, 2751, 3673?\nAnswer: 4597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m - 4. Let a(j) = -j**2 - 6*j - 9. Determine 2*a(x) - 5*w(x).\nAnswer: -2*x**2 + 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**3 + i**2 + 28*i + 16. Let m be f(-13). Let k = m + -2457. Suppose -2*q = 5*v + 2*q - k, -4*q + 1594 = 2*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 0.4, -2, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**7\/280 - z**5\/20 + 8*z**3\/3 + 3. Let v(k) be the third derivative of l(k). What is the second derivative of v(n) wrt n?\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -19*l**2 - 110*l + 475. What is z(4)?\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 470, -1, -19, -2, -9, 3 in descending order.\nAnswer: 470, 3, -1, -2, -9, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3437606087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -6483?\nAnswer: 6502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 3, 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932 is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -411*i**4*y**3 + 43698*i**4*y - 632*i**2*y**2 + 21703*i*y**3 wrt i?\nAnswer: -9864*i*y**3 + 1048752*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t - 3*t**3 + 14077*t**2 - 6 - 14070*t**2 + 5*t**3 + 18 as m*t + p*t**3 + k*t**2 + q and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 - 556 = -90*x. Let m(w) = -w**2 + 18*w**2 - 12*w + w + 14. Let t be m(x). Round t to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + (sqrt(50) + sqrt(450))\/sqrt(10) + 3 + sqrt(5) + 0 - (sqrt(60)\/sqrt(768) + 2))**2.\nAnswer: -195*sqrt(5) + 43145\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 n, and 1 k when four letters picked without replacement from {a: 1, t: 1, l: 5, k: 1, n: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 - 134*w**2 + 1964*w - 99. Calculate o(46).\nAnswer: 1373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 475\/4*18\/(-45) and -19\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 3*l - 1025 + 1037, 138 = 45*w - l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 120248189.\nAnswer: 360744567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -80, -106, -124, -134?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u + u**2 + 7*u)*(-11*u**2 + 10*u**2 - 3*u**2 + (3 - 3 - 2*u)*(3 - 3 + u)).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16c45 (base 15) in base 6?\nAnswer: -1324532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*r - 10, 0 = -3*c + 2*r - r + 8. Let z(q) = 0*q**2 + 2*q**2 + 3*q + 2*q**2 - 3*q**2 + 3. Is z(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 3*u**2 + 4*u**2)*(-2*u - 3*u + 4*u - 4*u - u + 3*u + 2*u - u + 2*u + u + 3*u - 3*u - 3*u + 2*u + 3*u + (-u - 1 + 1)*(-2 - 1 + 2)).\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/14 and (7\/(-35))\/((-4)\/(-37)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/32*10\/3. Suppose 0 = 5*l + d*o - 10, 4*l - 3*o + 7 = 43. Let r(m) = -3*m + 8. What is r(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {t: 2, s: 4, q: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ad - -5?\nAnswer: 1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8378.\nAnswer: 2, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423788 is divided by 7857.\nAnswer: 7367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - y - 5 = 455, 0 = 4*d + 4*y - 440. Let v be (0\/(-5) - 66) + 6. Let a = v + d. Calculate the remainder when a is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (3315\/170)\/((-7)\/4*15\/(420\/(-8))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2*25\/195*(-48)\/(-80)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 = -3. Let w = 32 + -27. Let r(s) = 2*s + 6. Let a be r(-5). Sort l, a, w in decreasing order.\nAnswer: w, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*i + 6, -2*b + 3*i - 6 = -6*b. Suppose 0 = -0*x - 2*x + 12. Suppose r = 4*z - x, -2*z = z - 12. Solve b = -2*n - 0*n - r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16273958 - -3?\nAnswer: -16273955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.034*-0.4.\nAnswer: -0.0136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7))**(3\/16)\/(m\/m**(-4\/3)*m*(((m\/(m*m**(-3\/26)))\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(-1097\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k*k**9\/k*k)\/k)\/(k*k**10))\/((k*k**19)\/k**(2\/3)))**(4\/7) assuming k is positive.\nAnswer: k**(-244\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/8)\/(15\/(-70)*(-441)\/(-108))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 12. Suppose 0 = -19*y + 22*y + 4*r - 22, 5*r = 3*y + 14. Solve y*h = -6 - f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*t - 459, t - 2*z + 6*z - 225 = 0. Suppose -4*v + 4*j = 3*j - 176, -5*v - 3*j = -t. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*r**2 + 4 - 13*r + 8*r**2 + 30*r**2 - 50*r**2 in the form s*r**2 + c + m*r and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**6 - 28*w**5\/5 - 646*w**2 - 16. What is the second derivative of k(b) wrt b?\nAnswer: 120*b**3 - 336*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1230103 - 34?\nAnswer: -1230142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r + 2*r + 4*r)*(r + r - r) + (2*r**2 - r**2 - 3*r**2)*(-23 + 14 - 7) in the form u + y*r + c*r**2 and give c.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/140 and 2\/(-5)*-2 - (-57592)\/7360.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*h + 4 + 12 = 0, n + 4*h - 5 = 0. Let q(b) = b**3 + 8*b**2 + 8*b + 7. Determine q(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-80)*(-34)\/102?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*s - 5*o - 26, -2*s = o - 2. Let f(n) = 16 - 6*n + n**2 + 10 - 23. What is f(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, 3, -3\/2, 6\/7 in ascending order.\nAnswer: -3\/2, 6\/7, 3, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1894920*q - 18440388?\nAnswer: -1894920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2. Let x be 2\/5 + (-844)\/10. Let r = 58 + x. Let u(w) = 4*w. Let t(h) = -h. Let y(g) = r*t(g) - 6*u(g). Give l(y(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27\/81 - (44\/24)\/(-11)*28 and 83?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11645009?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/3098280 and 151\/3150?\nAnswer: 325319400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15009, 0.1, 3, -12, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + 2 - 3*p + 4*p + (3 + 2*p - 3)*(1 - 2 - 1) + 1 - 1 + p + 4*p + 0*p - 2*p to the form q + b*p and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15340, -30695, -46052, -61411, -76772, -92135, -107500?\nAnswer: -122867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**1)**(-3\/5))**(-1\/9) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.19 + 0.24. Let u = w + 0.05. What is the second biggest value in u, 4, -2\/17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + -2. Let k = z + 15. Solve 0*f - 14 = k*l + 5*f, 4*l + 4 = -3*f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, f: 1, u: 1, y: 1, z: 1, j: 1}. What is prob of sequence bbj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9768 + -9771. Let z = -0.2 + -0.3. Sort z, -0.3, o.\nAnswer: o, z, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10289 - 4465. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5673 - 5673. Let d(l) be the first derivative of -5*l**2 - 15\/4*l**4 + a*l**3 + 9 + 0*l. What is the second derivative of d(k) wrt k?\nAnswer: -90*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19687 + 8514. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvzzvzzzzzzzzv. What is prob of picking 2 z and 2 v?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 648587112?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/8)\/((140\/(-8))\/7)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -46*b + 1701. Let v be x(37). Put -597, 5, v in decreasing order.\nAnswer: 5, v, -597","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.27 (b) -44750 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + l**2 + l + 1. Let w(h) = 254*h**3 - 6*h**2 - 6*h - 284. Let u(x) = 6*n(x) + w(x). Differentiate u(i) wrt i.\nAnswer: 744*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 317*r - 171*r - 155*r + 2*r**3 + 122*r**2 + 2*r**3 - r**3 + r**3 + 0*r**3 - 3*r**3 + 4*r**3 + (2*r + r - 5*r)*(0 + r**2 + 0) - 2*r**3 - r**3 + 4*r**3.\nAnswer: 4*r**3 + 122*r**2 - 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22156 - 1152067\/52. Let z = 119847\/8 + -14972. Find the common denominator of z and q.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Let s(z) = 7 + z - 2*z - 4. Let y be s(4). What is the nearest to y in -0.2, v, 2\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7979.\nAnswer: 79, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7) - (-12)\/7. Suppose -g*o + 80 = -o. Let i(q) = q**2 + 8*q + 10. Let f be i(-8). What is the greatest common factor of f and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12387*n - 12387*n + n**2 - 6 to o + w*n + f*n**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*s + 1 - 1)*(0 - s**3 + 0) + 3*s**4 - 5*s**4 - 2*s**4)*(-1 - 1 - 5)*(-5 + 4 + 0) as b*s**2 + y + x*s + c*s**3 + v*s**4 and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**5 + 0*r**5 + r**5 + (0*r**4 + 5*r**4 - 3*r**4)*(3*r + 3*r - 4*r) + 2*r**5 - 4 + 4 - 2*r**5 + 0 + 0 + 17*r**5 + 58529*r**4 - 58529*r**4 - 2*r**3.\nAnswer: 22*r**5 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41073751 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 60 (c) 1\/2 (d) -5 (e) 98\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -828, -1513, -2188, -2853, -3508, -4153?\n\"Answer: 5*b**2 - 700*b - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7248 - 9*z**2 - 7248.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24736470 is divided by 2762?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/3 - (-24)\/(30\/5). Let f = -279 - -3071\/11. Which is the third biggest value? (a) f (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 128?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4445 + 2577. Let u = -825 - i. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*t**3 + 0*t**3 - t**3 + (-5*t**2 + 4*t**2 + 3*t**2)*(-3*t - t + 3*t).\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -9. Suppose 2*r - 5 = 5*z, -z - 5 = 3*r - 4. Let a = z - b. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*(-5 + sqrt(11)*6*1 + sqrt(11)))**2 + ((sqrt(11) - sqrt(891))*-6 + 1)*6.\nAnswer: -342*sqrt(11) + 5079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 c when three letters picked without replacement from ggccgacc?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = l + 2, -35*y - 11 = 3*l - 27*y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, n: 4, z: 2, b: 1, o: 4}. What is prob of sequence oboz?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/a*a**(-2\/9))\/(a**(1\/4))**(-16) assuming a is positive.\nAnswer: a**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-3160)\/(-12) + 6\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 456 (c) -1299575\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11960 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/18*3\/29. Let r = n + 33\/58. Factor 1\/2*c + 3\/2*c**2 + 0 + r*c**4 + 3\/2*c**3.\nAnswer: c*(c + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, f: 7, r: 4}. Give prob of sequence vvrr.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121 + -21000220?\nAnswer: -20222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + 23126*i + 91 + i**3 - 23126*i.\nAnswer: i**3 + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72468 and 6020784?\nAnswer: 367267824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 3:11 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 a factor of 132349329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, i: 6}. Give prob of sequence ggig.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.7222964 years?\nAnswer: 0.007222964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -432 - -634. Suppose f*d - 136 = 201*d. What is the remainder when d is divided by 4\/(-14) - (2 + (-783)\/21)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108712 and 8636?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 74 = -5*y - 3*s + 15, -4*y - s = -64 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/28 and ((-2)\/(-12))\/(257\/(-130) + 2)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2408 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 6*r + 5. Let t be n(-6). Suppose 0 = -4*p + t*b + 174, 5*p + 4*b = 68 + 170. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (21 - 11)) + (16 - (-6 + 2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 0*n + n**2 + 2*n**2 + 0 + 0 + (4 - 6 + 3)*(-2*n**2 + 5*n**2 - 4*n**2) - n**2 - 2*n**2 + 2*n**2 + (-76853 + 76853 + 260*n)*(1 - 1 - n).\nAnswer: -259*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446*x**2 - 146*x**2 - 79*x - 138*x**2 - 162*x**2 + x**3.\nAnswer: x**3 - 79*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4 + 10*q - 15*q + 58*q**2 - 15*q - 682*q**2. Let w be o(-17). What is w rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -28 - 32) + (3 - 1) + -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39533 and 3809?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 350128687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1908 > -1902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 201 and 2881?\nAnswer: 8643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7952 is divided by 227.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -151 - -267. Let x = -116 + j. Solve x = -4*z - z + 5*y, -5*z - 2*y = -35 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/3? (a) -0.331 (b) 2\/3 (c) 3 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 539*v**2 + 276*v**2 - 1212*v**2 to r*v + g*v**2 + s and give g.\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -2*m**3\/15 - 22*m**2\/5 - 16*m + 229. Solve i(o) = 0.\nAnswer: -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -613 - -612.98736. What is s rounded to four decimal places?\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136500 and 900?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*s**4*t**2 - 7*s*t**2 + 95*t**2 wrt s?\nAnswer: -60*s**3*t**2 - 7*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269, 469, 773, 1181, 1693?\nAnswer: 2309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 11) to base 12\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -4, 1\/4, -101?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.368 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k\/((k**(2\/9)*k)\/k))\/k)\/k)**(13\/3)\/(k**(1\/27))**(5\/3) assuming k is positive.\nAnswer: k**(268\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29 or -30?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*a - 478 = 0, 0 = 4*n - 7*n - a + 298. Let l = n - 96. What is the units digit of 512\/l + 4\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 - 97.6. Which is the nearest to 0? (a) 0 (b) 2\/11 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 180, 3, 310, 0 in increasing order.\nAnswer: 0, 3, 180, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -189 + 100. Let n be (g\/(-3))\/(16\/48). Let s = 106 + n. Calculate the highest common factor of 39 and s.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 12:04 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -899, -3557, -7853, -13679, -20927?\n\"Answer: 18*l**3 - 927*l**2 - 3*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -446 + 605. Calculate the remainder when s is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/13*(-1)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10225, 0.06, -1\/37 in decreasing order.\nAnswer: 0.06, -1\/37, -10225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a week in minutes?\nAnswer: 54432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1192.51262 to the nearest 10.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 - 62. Factor -33*z**3 - 395*z**5 - 47*z**3 + 13*z**4 - 69*z**b - 32*z**2 + 383*z**5.\nAnswer: -4*z**2*(z + 2)**2*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3877 (base 10) in base 9?\nAnswer: 5277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 21 (b) -2\/9 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhjjhjhjhhhj. What is prob of sequence hh?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1335?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -236*g - 194*g - 4730 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46446 (base 10) to base 11.\nAnswer: -31994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27116, -54228, -81336, -108440, -135540, -162636?\n\"Answer: 2*a**2 - 27118*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136) + (sqrt(136) - (sqrt(136)*3 - sqrt(136)) - sqrt(136))*-1)*2)\/(sqrt(72)\/(sqrt(1296)*-2)))**2.\nAnswer: 352512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10180, -40616, -91306, -162250, -253448, -364900, -496606?\n\"Answer: -10127*r**2 - 55*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 2*j**3\/3 + 37. Let c(r) = 127*r. What is k(c(u))?\nAnswer: 32258*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1051422 to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41969078 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -763.45 - -775.5. Is q greater than or equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yapp when four letters picked without replacement from {x: 3, p: 3, a: 1, y: 5}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:42 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-70*h + 137*h - 60*h)*(2*h**2 + 3*h**2 - 4*h**2) to the form a*h**2 + l*h**3 + n*h + g and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 22*w. Let p(i) = i - 946. Determine b(p(n)).\nAnswer: 22*n - 20812","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 303*x**2 + 615*x + 309.\nAnswer: -3*(x - 103)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**3 + 4*n**3 - 5*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*j - 3*j - 3*p, 5*p + 15 = j. Let b = 1289 - 1289. Factor 0 + 2\/9*u**5 - 2\/9*u**3 + b*u**2 + j*u**4 + 0*u.\nAnswer: 2*u**3*(u - 1)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10084521.3 rounded to the nearest 10000?\nAnswer: 10080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12164354 (base 8) to base 2\nAnswer: 1010001110100011101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1880 (b) -3 (c) 1 (d) -5 (e) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((43 + -57)*(-2)\/(-14))\/(3\/3). Put 8, a, 397 in decreasing order.\nAnswer: 397, 8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 2*d - 16 + 12, 0 = 5*d + k + 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 30900865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(((t\/(t\/(t*t*t\/((t\/(t*t**(-9)\/t)*t*t)\/t)*t)))\/t)\/t))**(-5\/7) assuming t is positive.\nAnswer: t**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29440 and 29440.\nAnswer: 29440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 58*q**2 - 811*q + 806. What is w(-28)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85c04 (base 13) to base 16.\nAnswer: 3af61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 734 and 20.\nAnswer: 7340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1161*m - 1166*m - 1166*m + 3495*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -2\/17, -869 in increasing order.\nAnswer: -869, -3, -2\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-48)\/(-45) - 8\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, c: 18}. What is prob of sequence cctc?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*w + 2*w. Suppose w = 31*t - 35*t + 248. Let c = -6 - -27. Calculate the remainder when t is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 14880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -262518 and -0.5.\nAnswer: 131259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/2547 and 47\/728159.\nAnswer: 6553431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 32848 = -8*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 45 = -4*o, 7 = o + c + 3*c. Calculate the remainder when o is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-320)\/213 + (6 - -2) + -6. Let f = 12\/71 + g. Let x = 134 + -940\/7. Is f less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 321\/9 + (-97831)\/(-15447)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -126 + 128. Solve 3*l - 3*w = -3, -3*l + v*w = 3*w + 15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 5*y**3\/3 + 3*y. Let z be r(1). Suppose 0*x + 2*x = -z. Put x, -1, -4 in increasing order.\nAnswer: x, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*p = 28, 3*p = 3*d - p - 32. What is the tens digit of (-1141)\/(-21) + d\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1 - 2*p - 3 + 4. What is the remainder when 43 is divided by f(-10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4665696, -4665693, -4665690, -4665687, -4665684, -4665681?\n\"Answer: 3*u - 4665699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*y + 2, -5*y - 18 = -2*j + 5. Let x = -7 + 4. Let o(m) = -6*m**3 - m**2 + m + 1. Let z be o(-1). Put x, z, j in descending order.\nAnswer: z, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 141376632.06166 and 0.3.\nAnswer: 141376632.36166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 2*f**5\/5 + 4*f + 6. Differentiate u(k) with respect to k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/2)\/(12\/32). Suppose -4*m + m = -6. Is a bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 1 - (-16 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 9343*y**2 + 13*y + 13. Let j be v(-1). Suppose 6280 = 17*t - j. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, 0, -2.3, 0.2, -2\/11, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -9. Calculate the remainder when (-1 - (-1 - 0)) + 31 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 8, s: 3}. What is prob of sequence gsss?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 128964267737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*o = 148*o - 32*i + 5*i - 20, 2*o - 20 = -0*i + i for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*z - 19 = 0, -4*o - 2 = -5*z - 41. Solve 2*c - 5 = 3*c - t, 2*c + 5*t = o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.43 + -0.23. What is the closest to -1 in -0.4, 1.1, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2. Suppose -258 = 2*x - 314. Let p(b) = 89 - 25 - 34 + 5*b - x. What is p(c(o))?\nAnswer: -10*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -432, -426, -416, -402, -384?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c**2 - 4287*c - 3222 = 0. What is c?\nAnswer: -3\/4, 358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 3*z + 0*z)*(1 + 3 + 4) + 3 + 5*z - 3.\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (44\/33)\/(10\/(-6))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 17*j**2 - j - 1. Let s = -53 + 51. Is r(s) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -31a6?\nAnswer: 31a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3488474 is divided by 533?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 0*d**2 - d**2 + 2 + 0*d**2 + 0*d**2 - 3*d**2 + (0 - d + 0)*(79*d - 40*d - 41*d) in the form h*d + x*d**2 + s and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 3:41 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 175 - 8?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2 - 18. Let s = -28 - -17. Let r = 10.9 + s. What is the third biggest value in 3\/7, r, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 365168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -68*x + 1. Let a(g) = 257*g - 3. Let j(i) = 4*a(i) + 15*y(i). Let s(q) = -4*q. Determine j(s(d)).\nAnswer: -32*d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + 19. Suppose -29*l + 227 = -1542. Let t = l - h. Solve -4*s - a + 0*a - 7 = 0, s - t = -3*a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44.7 - -46. Let t = m + 1.7. Let i = -16 - -29. Sort -3, i, t.\nAnswer: -3, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpejpppeppkppb. Give prob of picking 1 e and 1 k.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -331 - -347. What is the smallest common multiple of ((-11)\/3)\/((-2)\/12) and h?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three twentieths of a litre in millilitres?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 91\/4. What is the common denominator of d and -63\/898?\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126b1 (base 13) in base 3?\nAnswer: 1201210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -18061*h + 1806095. Calculate g(100).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/3)\/p*p**(-13))\/(p**(-11)\/(p*p*p**7)) assuming p is positive.\nAnswer: p**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n + 14 = -36 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, c: 1, n: 1, r: 2, d: 2, s: 2}. Give prob of picking 2 d, 1 n, and 1 m.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**3 - c**2 - c + 1. Determine r(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 12, h: 3, i: 1, y: 1, l: 1}. What is prob of picking 1 y and 1 u?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/546 and 55\/126.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/666 and -29\/1197.\nAnswer: 88578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 12*d + 16. Let b be j(-12). Suppose 4*n - b = -4*m, 0 = -0*n - 2*n + 5*m - 6. Let o(c) = c**3 - c + 2. Determine o(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.094 + -0.494. Let s = -5 + -1. Let f = -1.5 + 1. What is the closest to 2 in b, f, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -3 + -14 + (10 - -9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25003 - -271003. What is j rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 + -6) - (-5 + 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 4*r**2 + 517*r**3 + 4*r**2 - 417*r**3 + 2*r**2 as l*r + u*r**2 + f + w*r**3 and give w.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (60 - (-51 - -46)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184218 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382858 is divided by 382631?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 25 = 0, -45 = -g + 3*h - 2*h. Let d be g\/(-5) - (0 - -2). Let y = d + 18. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 - 2*y**2 - 5*y**2 + 2*y**2. Let x(j) = -11*j**2. Give x(a(b)).\nAnswer: -11*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -42)*(-190)\/475.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(77)\/sqrt(11)*6) - (sqrt(112) + sqrt(112) + -6*sqrt(112)*2 + sqrt(112))**2) + -1.\nAnswer: -9073 + sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -35, -52, -71?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 plus -39.3?\nAnswer: -38.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 0.3, -9\/484, -3, -0.45?\nAnswer: -9\/484","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*g + 8. Let n be g\/((-12)\/16 + 0). Suppose -n*y + 226 = -118. Is y a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -f + 8. Is 60 - (2 - 0\/f) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 542 + -526. Suppose -2*a - 12 = -3*q, 3*a + q + h = 5*q. Solve 0 = -5*u - a - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1630? (a) -3 (b) -1\/10 (c) 0.22 (d) 191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275.1545 litres to millilitres.\nAnswer: 275154.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - -5. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 1) + 8684\/(-780)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6312 = d, 4*d + 5 = -3. Suppose 0*c + 5*g + 3155 = 5*c, -2*g = 2*c - y. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5. Suppose -4*k = -15*k + 44. Solve r = -h - 3*b + 2, 10 - 29 = -k*h - b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-22) + (-1002)\/(-66). What is the greatest common factor of 405 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (28\/(-182) - (-592)\/130).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*d**2 - 3*d**2 - 24*d**2 + 5*d**2 - 43*d**2 to v*d**2 + z + o*d and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1397 - 860*f + 1397 - 421*f + (-5 + 3 + 3)*(-2*f - 2*f + 2*f) + 0*f - 3*f + 2*f.\nAnswer: -1284*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1090*j**4 - 3 - 2*j**2 - 558*j**4 - 543*j**4 + (2*j**3 - 4*j**3 + 0*j**3)*(3 - j - 3) to h*j + b + f*j**2 + q*j**4 + l*j**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t + 38. Let z be i(-3). Suppose -3*w + 26 = z. Suppose -o = -2*h + 219 + 90, -5*h + 795 = w*o. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l - 4. Let q(t) = -7*t + 1. Let s(p) = 22*p - 2. Let o(j) = -7*q(j) - 2*s(j). Let w = -20478 + 20480. Give w*x(c) - 3*o(c).\nAnswer: -5*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*5*(-2 + sqrt(1377) + -2) + -4)*6)**2.\nAnswer: -51840*sqrt(17) + 1248516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 23\/(-5) - 4\/15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93281*c + 388777 wrt c.\nAnswer: 93281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - -4) + -796 + 747.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 52 - (32 - (12 + 5) - 7)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43045\/(-2)*(14\/(-21))\/((-35)\/(-21)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + i**2 + 1. Suppose -3*n + 14 - 11 = 0. Let p(x) = 2*x**3 - 4*x**2 - 4. What is n*p(l) + 4*r(l)?\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*u - 45*u - 806 - 1209 = 0 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13\/2, 54, 5, 3562?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:51 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(152))\/(-1*sqrt(32)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22802*l + 22798*l + 21*i = -163, 4*l + i - 9 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2380 is divided by 77.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.1 (b) 1\/199 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -6 - 7 - (57 - (-17 + 32))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 55 + 12 - 90 - 9*v**2 - 10.\nAnswer: -9*v**2 - 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1264987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 + -72. What is the remainder when n is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14896*l + 3553893?\nAnswer: 14896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, d: 4}. Give prob of picking 1 k and 2 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 6. Let w be p(6). Suppose -31 = -6*a + 53. Let h(c) = 5*c**3 + c - 1. Let v be h(1). Solve y - 4*z = a, w*z - 1 = -v*y - 3*z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, q: 2}. What is prob of sequence qpqp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-510)\/504 - (3 - 4). Let i be (-10)\/(-175)*(-1 - (-1499)\/24). Let v = i + s. Which is the biggest value? (a) v (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -32*c + 0*c**5 - 4 + 0*c**4 + 9\/2*c**3 + 13\/5*c**6 + 0*c**2. What is the second derivative of v(w) wrt w?\nAnswer: 936*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + (-2 - (5 - 0))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 178 - 117. Suppose -3*h + j = 7. Find the third derivative of 14*m**2 - 2*m**2 + 14*m**3 + h*m**2 - 7*m**2 wrt m.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + n**5 - 2 + (-4*n + 2*n + n)*(-2*n**4 + 3 - 3) + 0*n**5 - 3*n**5 + 5*n**5.\nAnswer: 5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.73 minus -107.7175700379?\nAnswer: 110.4475700379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*a + 74, 5*a + 542*w = 539*w + 185. Solve a*p + 84 = -101 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - p. Let o(b) be the first derivative of 4*b**3\/3 - 2*b**2 - 2. Calculate -7*n(i) + 2*o(i).\nAnswer: i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7995 and 7.\nAnswer: 55965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -189 divided by 63?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -267 - -131. Let v be (9\/(-36))\/((-12)\/7188). Let i = v + w. Find the common denominator of i and -58\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -0.086.\nAnswer: -1.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3 + 2*d - d + 183*d**2 + 4 + 286*d**2. Is k(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**2\/3 - 167*m\/3 - 338\/3 = 0?\nAnswer: -2, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1612743246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011101 + 10100000100000111000?\nAnswer: 10100000011011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4500)\/(-180)*(-150)\/(-631875)?\nAnswer: 2\/337","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15190524 divided by 2?\nAnswer: 7595262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 - 58*u**2 - 53*u + 152. Let a be l(-28). Solve 32*c - 124 - a = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1162*q - 1494*q + 39692 - 368722 = 2406*q for q.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -6)*18\/45.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-three quarters of a micrometer?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 34*u**2 - 6*u + 22. Let r(s) = -34*s**2 + 7*s + 2 - 16 - 9. Let i(y) = -7*n(y) - 6*r(y). Find the first derivative of i(d) wrt d.\nAnswer: -68*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 242*l**2 + 241 wrt l?\nAnswer: 484*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 19, -21, -6 in decreasing order.\nAnswer: 19, 3, -6, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188383 = 1036*s + 70279 for s.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u. Let c(a) = -59*a. What is o(c(j))?\nAnswer: -472*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -5, 7978 in decreasing order.\nAnswer: 7978, 55, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(3 + 8 - 3)*(2 + j + 0*j + 0).\nAnswer: 16*j + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jazznoojnfzz. Give prob of sequence zajj.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 4*s - 7\/12*s**4 + 0*s**2 + 0 + 0*s**3. Let g(j) be the second derivative of j**3\/3 - 31*j. Calculate x(g(v)).\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m**2 - 5*m - 5. Give g(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k - 3*n = 9, 5*k - 4*n + 51 = 0. Let q be (k - (-3)\/(-3))*7\/(-14). Is 7 a factor of q\/12*(116 + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16093?\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + l + 8. Let b be x(7). Let h be (11 - 4)*144\/28. Let s = h + b. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -21981?\nAnswer: 21976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:43 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 + 65. Let m be (-4 + 1)*s\/6. Suppose m*a = 4*q + 10, -4*a + 0*q + 3*q = -5. Is -1 equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.7983146 kilograms?\nAnswer: 0.0007983146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -3, 0, 60 in ascending order.\nAnswer: -36, -3, 0, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 86\/(-6))*(-144)\/(-96). What is the nearest to 3 in 4, y, -5, 1\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**3*r**6 + 11858*m**3*r**3 - 4*m**3*r**2 + 9676*m**3*r wrt r?\nAnswer: 240*m**3*r**3 + 71148*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1130482134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 0.3, -1\/3, 0, -209?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1200, 4, 3, -6\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 8:57 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 67 = -88 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-1)\/(-189))\/((-3)\/(-9))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/6 + 780*d**2 - 2294471*d\/2 + 1520751023\/3.\nAnswer: -(d - 1933)**2*(d - 814)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -115.9745 - -116. Let n = -0.04 - -0.07. Let u = p - n. Round u to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 424?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5*h = -28, 5*h - 17 = 2*z + 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*s + 18. Suppose -4*v + s = 2*m - 29, -5*m + 133 = -v. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3 - -1.4. Let a = -0.89998 - q. What is a rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wew when three letters picked without replacement from wwweeeewwwweweewwww.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 16 = 185. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42276 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75056718 a multiple of 362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-10 - -3) + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 4*r - 3*r + r - 13*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 4. Let x be (0 - -22000000)*(-7 + o). What is x rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 12*k - 127. Let w be c(11). Let m(z) be the first derivative of 1\/4*z**2 - 1\/2*z**3 + 0*z - w + 1\/4*z**4. Determine l so that m(l) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5*l = -40, 4*l + 55620 = i + 55643 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -17, 1, 3, -5 in ascending order.\nAnswer: -17, -6, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -1135798 and -218076943.\nAnswer: -219212741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10220 + -1044411?\nAnswer: -1034141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 10*p**2 + 7*p - 5. Let q be o(-9). Let z = q + -35. Let y = z - -60. Is 38 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 16 (b) -5 (c) -0.13 (d) 1 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1087\/7 - 155. Which is bigger: -75 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131468443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14227, -57049, -128405, -228295, -356719, -513677, -699169?\n\"Answer: -14267*f**2 - 21*f + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/364?\nAnswer: -1\/364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 6:33 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -482210?\nAnswer: 1\/482210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z - 1634 = -1549 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 109 = -16. Let u be (-1)\/4 + x\/4. Suppose -r - u*r + 35 = 0. Solve r*h - 3 = 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10995 + -7825. What is the least common multiple of u and 18?\nAnswer: 28530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1559285 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4503*(-5)\/(-2300) + (-2)\/(-5). Let d = 1088\/115 - x. Calculate the common denominator of -43\/10 and d.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uttfuffu. Give prob of picking 2 f and 1 t.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1381, 2279, 3177, 4075, 4973, 5871?\n\"Answer: 898*w + 483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isr when three letters picked without replacement from {i: 6, s: 12, r: 1}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -48*z**2 + 10*z + 10. Let j(h) = -5*h**2 + h + 1. Let u(d) = -10*j(d) + r(d). Let p(a) be the third derivative of -13*a**4\/24 + 7*a**2. Give u(p(w)).\nAnswer: 338*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + 3621. List the prime factors of w.\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1.5. Let k = -0.73 - -0.03. Let y = 1340 + -1339. Which is the second biggest value? (a) k (b) q (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 6:55 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*d + d. Suppose 3*b - k = -3 + 2, 4 = d*k. Let p = -78830 + 78830. Solve p = -r - b - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 853*l**3 + 5*l**2 + 5*l - 15. Let j(x) = 13222*x**3 + 77*x**2 + 77*x - 231. Determine -5*j(q) + 77*s(q).\nAnswer: -429*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30573*h**2 - 32191*h**2 + 65707*h**2 to f + o*h**2 + k*h and give o.\nAnswer: 2943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/66 and (0 + (-685)\/8)*3\/45.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 5*f, 5*k + 15 = -5*f - 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10879 * 2910.\nAnswer: 31657890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 271058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 52\/(-8)*2. Let y(s) = s**2 + 10*s + 11. Let w be y(j). Let z be ((-3)\/1 + w)*11. Is z less than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 718 = 3*x, -27*d + 32*d - 3603 = 2*x. Calculate the greatest common divisor of d and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, u: 3}. Give prob of sequence ouo.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u**3 + u**3 + 2*u**3)*(-4*u - 2*u + 3*u) + (u**4 - 3*u + 3*u)*(-2 + 1 - 1) as b*u**4 + d + x*u**3 + r*u**2 + s*u and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 164625, -38, -5 in decreasing order.\nAnswer: 164625, 2, -1, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1462470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/60 and 17\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*l, -23599980 = m + 3*m - 4*l. Round m to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004083 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -6152.\nAnswer: -5\/6152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-6)\/2) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, p: 2}. What is prob of sequence px?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.605127 micrograms to nanograms.\nAnswer: 9605.127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 3) in base 2?\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -27, -40, -1\/3, -1\/10, -25\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 + -51. Suppose 2*s - 112 = -5*x, s = x - r*x + 55. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 9*q**2 - 18*q - 10. Let i be t(6). Sort 1, i, 8, -1 in ascending order.\nAnswer: i, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 1\/6*i**2 + 11\/6*i - 13\/3 = 0.\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*a + 4 = 0, a + 3*a - 20 = -5*d. Let t be 23 + (d\/(-6))\/((-4)\/(-12)). Let w = t + -17. What is the lowest common multiple of 17 and w?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 2*m + m + 19)*(-m - 7*m + 5*m) to the form k*m + w*m**2 + x and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -2*z + 2 - z**2 - 1\/3*z**3. Let n(i) be the first derivative of a(i). Find the first derivative of n(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/7557 and 95\/132.\nAnswer: 30228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -23.96. Let u = 59.96 - q. Let c = u - 61.027. Round c to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 20 = f, -1974 = -3*f - 1971 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*z - 31*z + 33072. What are the prime factors of z?\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a095 + -5440?\nAnswer: 54755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158198?\nAnswer: 2, 83, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 158112 and 15772221.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 3, 7.\nAnswer: -3, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 3*f**2 - 2*f + 2. Give l(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x - 2*x + x)*(-5 + 5 + 1) + (2*x - 1 + 1)*(-6 + 1 + 1) + x + 3 - 3 as v + s*x and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 2*y**2 - 2*y**2)*(-2 - 1 + 1) + y**2 + 5*y**2 - 3*y**2 - 14*y - 24*y**2 + 14*y.\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-69)\/690)\/(4\/(32\/(-6)))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 7 + -3 + -3. Suppose 316 = 2*y - t*n, 6*y + n - 746 = y. Suppose 0*f = 5*f - y. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/4*(-24 + 2010\/75). Let k(d) = d**3 + 6*d**2 - 10*d + 2. Give k(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -7. What is the nearest to 1\/3 in -0.5, -2\/3, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16458 and 2769.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = 20*u - 1449. Calculate the remainder when u is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 8:20 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 5*x - 4*x**3 - 5*x + 3*x**3 in the form l*x**3 + z*x + a*x**2 + d and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 0 - (-5 - 0). Suppose -3 + x = d. Suppose -50 = -d*b + b. What is the remainder when b is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -5*z**7\/14 - 35*z**3 + 40*z**2. Differentiate k(a) wrt a.\nAnswer: -300*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*sqrt(612)*2 - sqrt(612))*5*4.\nAnswer: 3240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -55921, -111845, -167769?\n\"Answer: -55924*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/24 + ((-1235)\/20)\/13 + 5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5210.\nAnswer: 2, 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 7, -3, -93\/1412?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**5 + 831*r**4 + 12798*r**3 + 71070*r**2 + 156975*r + 97875.\nAnswer: 3*(r + 1)*(r + 5)**3*(r + 261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36906, -36904, -36902, -36900, -36898, -36896?\nAnswer: -36894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2108 - 411156178?\nAnswer: -411158286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7222630 by -2.\nAnswer: -3611315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r. Let k(d) = 10690971*d**2. What is k(a(j))?\nAnswer: 10690971*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -700*a**4 - 8234*a**2 + 107976172 wrt a?\nAnswer: -2800*a**3 - 16468*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-four fifths of a centimeter?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 764457 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -16a54 (base 12) in base 2?\nAnswer: -111111101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: -4 + (2 - 20 - -34)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -66\/8527?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55204 = 3*n + 5*q, q + 2*q = -3*n + 55212. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(1584) - sqrt(1584))*-6*-5 - ((sqrt(1584) - 5*(1*sqrt(1584) - sqrt(1584)))*-6)**2*4.\nAnswer: -228246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 762744 and 5124?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__gcd_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: ((-2)\/(-2))\/((-11)\/55*1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40409469 is divided by 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1191261 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185155379?\nAnswer: 421, 439799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -153 (b) 4 (c) 2\/11 (d) 0 (e) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 126*w - 33660.\nAnswer: 2*(w - 165)*(w + 102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 14 = -2. What are the prime factors of (-14)\/(-56) + 94\/r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12179 = 8*m - 165. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1441\/505?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 822571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -601 + 600.9999979. Round z to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) - ((sqrt(1088) - (sqrt(1088) + -3)) + -3) - 5*(sqrt(1088) + (sqrt(1088)*-1)**2).\nAnswer: -5440 - 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-30)*(-24)\/4. What is the closest to -0.3 in 3, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 329*a**4 - 3*a**3 - 6673 wrt a.\nAnswer: 1316*a**3 - 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2, 4\/7, -1, 22, 259?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 96. Let u = m - 93. Which is the biggest value? (a) -0.2 (b) u (c) 2 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let s = 21 + -21.2. Is s equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 9:47 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 + (-62 - (9 + 5)) - (-44 + 1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g**2 + 5*g - 5. Let z(h) = -4*h + h**3 + 0 - 4 + 4*h**2 + 8. What is -4*l(d) - 5*z(d)?\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3)*375\/(-50). Suppose q = -3*m - 2*m + 86, 0 = p*q - 2*m - 484. Let b = q - 92. Solve 5*g - 11 = 2*s, 3*g + 11 = b*s + 4*g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -7 (b) 70 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 80 - 8. Suppose -6996 = -72*a - 104*a - 36*a. What is the lowest common multiple of c and a?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h + 8. Let j(c) = -c + 1. Let g(t) = a(t) + 6*j(t). Let y be g(14). Sort -6, y, 3, -4 in decreasing order.\nAnswer: 3, y, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3108760229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -423.4319529 to 2 dps.\nAnswer: -423.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20671, -81336, -182001, -322666, -503331, -723996, -984661?\nAnswer: -1285326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002068 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**6\/120 + h**5\/15 + h**4\/24 + 10*h**2. Let a = 8 + -11. Let f be g(a). Calculate the greatest common divisor of f and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 84 = -52. Solve -2*a + t*w = 4, -a - 2*a + w - 6 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**2*i - 2*f**2 - 943884*f*i + 94999*i + 169 wrt f.\nAnswer: 6*f*i - 4*f - 943884*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9132*z = 9124*z + 32. Solve 0 = -3*o + z*o + 2*x - 9, o - 4*x = -3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-80)\/(-140)*(-21)\/(-6). Which is the second biggest value? (a) i (b) -22 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 69*u**2 + 1144*u - 132. Determine f(-14).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**9\/20160 + s**7\/1008 - s**5\/10 + s**2. Let f(o) be the third derivative of u(o). Find the second derivative of f(g) wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 491.2 + -491. Which is the biggest value? (a) -5 (b) -8 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -214b72?\nAnswer: -214b67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-200)\/(-6))\/((-4)\/(-18)). Suppose -n + r = 4*n. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 32*o - 1 + 32*o. Let k(a) = -3*a**2 + 1. Let q(c) = -4*k(c) - 5*s(c). Let u be q(1). Solve -u*d + 4*t + 13 = -2*d, 28 = -4*d - 4*t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 5:27 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18425 + 50186. List the prime factors of d.\nAnswer: 3, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690 (base 14) in base 12?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*d - 44 = -3*l + 285*d - 576*d, -270 = -21*l + 3*d for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*t - 390 = -32*t + 10. Solve 40 = 3*y - 5*c, 4*y + t*c + 11 - 6 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.1 (c) 1\/4 (d) 37 (e) 2 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12075532?\nAnswer: 2, 7, 431269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.9 - 9. Let p = 0.1 - u. What is the third smallest value in -3\/2, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -275 - -3023\/11. Let b be 3*7*8\/392. What is the closest to 0.33 in b, -0.1, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 + 39 = 22*r. Let f be (245400005\/6)\/r - (-16)\/(-96). Round f to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 37 = 28 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - 32?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 105503734657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14 + -4)*(-1 + 2\/4). Let y(h) = -h**3 - 6*h**2 - 3*h + 11. What is y(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 9. Let v be w(5). Suppose -197 + 12*f**2 + v*f + 109 - 140*f = 0. Calculate f.\nAnswer: -2\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 8*l - 235. Calculate z(-13).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 38. Let b be l(0). What is the tens digit of b*(1 - (-3)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 4*w**2 - 2*w - 6. Let t be r(-4). Suppose t = 2*a - 6. Does 21 divide 4\/(-8) + 86\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54 less than 3.46?\nAnswer: 2.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 6.086?\nAnswer: -3.043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + 2*l + l - 207*l**3 - 78*l**3 - 5*l.\nAnswer: -285*l**3 + 3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -2\/9, -0.081, 2\/9, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 - 2*y - 1. Suppose 3*v + 3*p = 35 - 8, 0 = 5*p + 5. Suppose 0 = -z + 5*g - 22 - 4, 2*g = v. Give c(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -10*y**2 + 38*y**2 + 48 - 7*y**3 - 14*y + 6*y**3 - 44*y. List the prime factors of v(25).\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61985559 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 11:01 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -8 - 8. Suppose -4*k = -3*n - 30, -n + 0 - 2 = 0. Solve -2 = f*r - k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 15*j + 40. What is c(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 10:43 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - j**2 + 2*j - 2. Give r(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/49)\/(1450\/(-1827)*9).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, q: 2, m: 10, p: 3}. Give prob of sequence mpp.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((l - 2 + 2)*(-3 + 3 + 3*l) + 3*l**2 + 2*l**2 - 3*l**2 - l**2 + 0*l**2 + 3*l**2)*(3*l - l - 3*l) to the form b*l**3 + w*l + k*l**2 + h and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -803?\nAnswer: -803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -547\/1480 + -1\/185. What is the closest to 1\/4 in -3\/4, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = d - 2*a + 26, -112 = 2*d + 4*a. Let l be (-1)\/(0 + 1) + -2. Let k be d\/(-6) - (-2)\/l. Solve 3*u + 12 = k*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x + 15. Let m be k(3). Let g be (-8 - (-4)\/(-2))*3\/m. Solve 3*h = g*p - 2*p, p - 4 = 5*h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3522?\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1251 divided by 258?\nAnswer: -417\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v + 12. Calculate d(-17).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*t + 2)*(0*t**3 + 2*t**3 - t**3) + t**4 + t**4 - t**4.\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -9. What is the remainder when 47 is divided by 32*(2 - (-6)\/i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004740467 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -445, -1595, -3501, -6163, -9581?\n\"Answer: -378*g**2 - 16*g - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 55\/24*n**4 + 4*n**2 + 5*n**3 + 1\/2*n**5 + 0 + 1\/24*n**6 - 10*n. Factor u(k).\nAnswer: 5*(k + 1)*(k + 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 - -1113031?\nAnswer: 1112330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (12 - (8 - 4)). Sort -2, 6, k in increasing order.\nAnswer: k, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7682927849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 262 divided by 2\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*i = 4*i + 9*i. Factor -4\/5*q**3 + 8\/5*q**2 + i - 4\/5*q.\nAnswer: -4*q*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f + 4 = 36*f. Let v be f + 0 - (7 + -6 - 4). Let r be 54\/27 - (-1 + 1 - 18). What is the highest common divisor of v and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from kknnsnkgnsnkn.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -51684 divided by 177?\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2524 - -0.4?\nAnswer: 2524.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -7 - 5 - -7. Put -3, 3, d in decreasing order.\nAnswer: d, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -1610*u**5 - 18545*u**4 + 73715*u**3 - 67180*u**2 + 13620*u = 0?\nAnswer: -681\/46, 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 340412447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-10 - -10 - (3 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21386 and 740?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 260\/(-70) - 2\/7. Let p = -2 - n. Let g(y) = 13*y + 1. What is the least common multiple of p and g(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-48)*(-30)\/(-4).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14732*p + 5217 - 5217 to r + i*p and give i.\nAnswer: 14732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*k**3 - 445*k**3 + 224*k**3.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/903, -0.5, 90, 0.2, -3\/2 in decreasing order.\nAnswer: 90, 0.2, -2\/903, -0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35.01 + 0.01. Let t = 39 + j. Let u = 109 + -1633\/15. Which is the second smallest value? (a) -5 (b) t (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**2 - 20*j - 39. Give r(-5).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*o + 15. Suppose -30 = -23*y + 20*y. Suppose -p + v = o*v - 23, -y = -2*v. Solve 0 = 5*x - 2*d - 16, 0 = 4*x - 5*x + p*d + 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1230074 to the nearest integer?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**3 - 5*t**2 + 4*t - 5. Calculate the remainder when f(2) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 6*j + 1 + 7 - j**3 + j - 7*j**2. Let d be f(-5). Let v be (3\/2)\/((-6)\/(-8)). Calculate the highest common divisor of v and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 0.3, -5\/7, 0.845, 1?\nAnswer: 0.845","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -378347174 and -0.3?\nAnswer: 113504152.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3020101 (base 4) to base 5\nAnswer: 402232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:15 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 981045 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - u + 5*u)*(-2*u + 0*u - 4*u) - 9*u**2 + 3*u - 8*u + 7*u**2.\nAnswer: -14*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d - 10 = 0. Let l be 0 - (d*2)\/(-2). Let k(z) = 1. Let t(m) be the third derivative of -m**4\/24 + m**3\/6 - 16*m**2. What is l*t(r) - 3*k(r)?\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.761 - 1.561. Let x = 0.12 - 0.22. Which is the biggest value? (a) p (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/6 + (-13)\/39. Let d be -22 - (1 + (-1 - z)). Find the common denominator of 79\/38 and d*((-9)\/6 + 0).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6321635*c**2*y + 31019411*c**2 - c*y**2 with respect to y.\nAnswer: 6321635*c**2 - 2*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + 12. Let t(a) = a**3 - 18*a**2 - 2*a + 38. Let o be t(k). Suppose 4 = -2*c - 2*c, -5*w - o*c = -408. What is the highest common divisor of 123 and w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-3)*-2 + 13. What is the units digit of (2\/(-5))\/((-1)\/q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 4*v**2 - 2*v - 1. Let d be f(3). What is the third derivative of 2*r**2 - 3*r**6 + 2*r**d + 0*r**6 - 2*r**2 wrt r?\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*j + 5*g, -2*g = -4*g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2269 - -2415. Calculate the remainder when 873 is divided by l.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 1. Let a = -2 - -3. Let n be l(a). Let c = -18 - -26. Sort n, c, 3\/2.\nAnswer: n, 3\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -253 + 242. Let x be (h + 9)*12\/(-8). Suppose 0*t - 8 = -4*t. Solve 0 = x*m + t*m + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(5\/6))**(6\/7)\/((((d\/d**(-8\/5))\/d)\/d)\/(d*d\/d**(-5\/6))) assuming d is positive.\nAnswer: d**(619\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/6)\/(a**(-9)\/a)*a**(2\/39)*(a*(a\/(a*a\/(a\/(a\/a**(-28))))*a*a)\/a)\/a assuming a is positive.\nAnswer: a**(-471\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 65.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3725.16262 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**3 - 74*i**2 + 47*i - 247. Give m(18).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 4, o: 1, p: 2, n: 8}. What is prob of picking 1 o and 1 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-672)\/120 - (-11 - -4)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 464, 2218, 5262, 9596, 15220, 22134, 30338?\n\"Answer: 645*d**2 - 181*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*m + 30. Suppose -5*k = 5*i - 65, -5*k + 72 = m*i + 23. Calculate the remainder when i is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 237*a - 121*a - 117*a. Let h(d) = 146*d**2. What is x(h(j))?\nAnswer: -146*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**4 - 8*g**2 + 4*g + 14. Let y(u) = 5*u**4 + 7*u**2 - 3*u - 14. Let z(p) = -3*q(p) - 4*y(p). What is the derivative of z(l) wrt l?\nAnswer: -8*l**3 - 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63237252 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, g: 3}. What is prob of sequence wgg?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 179, 182, 185, 188?\n\"Answer: 3*a + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 47. Suppose 4*w + 2*z - 60 = 3*z, 2*w - 5*z - h = 0. Let u = -309 - -312. Solve -w = -5*x + u*g, -g = -3*x - 2*g + 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 675 + -7431\/11. What is the smallest value in 3\/2, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1142 - 178 = -8*z. Suppose -171*p + z*p = 0. Sort 1, -7, p, 22.\nAnswer: -7, p, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -3*c - 1\/12*c**4 + 1\/6*c**3 + 0 + 7\/2*c**2 - 1\/20*c**5. What is the units digit of f(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - m**3 + m**3)*(121*m - 157*m - 186*m).\nAnswer: 222*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2626.\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 34085.01 seconds?\nAnswer: 34085010000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w**2 - 62*w + 29. Let a be (-3)\/(-6)*2*3. Let i(c) = -4*c**2 + 31*c - 15. Let x(y) = a*z(y) + 7*i(y). What are the prime factors of x(22)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1224, -2440, -3636, -4806, -5944, -7044, -8100, -9106?\n\"Answer: t**3 + 4*t**2 - 1235*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 7*a**2 + 5*a - 4. Let m be v(-6). Let t = 2 - 0. Suppose -2*x + 10 = -t*o, -5*o + 4*o - 5 = x. Put o, m, 0.5 in descending order.\nAnswer: m, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b + 7*b - 8*b - 52736 = 0. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29152164 by 1.\nAnswer: 29152164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 6*a**2 - 3*a**2)*(-2*a**3 - a**3 + a**3)*(8 + 11 + 37).\nAnswer: -112*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5 - 98*o**4 - 1478*o**3 - 6486*o**2 - 2520*o + 10584 = 0 for o.\nAnswer: -21, -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 454481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5*r**2 + 4)*(15*r - 3*r + 2*r)*((-5*r + 0*r + 3*r)*(-r + 7*r + 0*r) - 3 - r**2 + 3).\nAnswer: 910*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87395 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/98 - -2199\/1078. What is the common denominator of -6*2\/(-16)*260\/(-234) and m?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/15)\/q)\/(q*q**(-2\/17)) assuming q is positive.\nAnswer: q**(-548\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224.277 - -10.\nAnswer: -214.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 65173.4 to the nearest one hundred.\nAnswer: 65200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142378?\nAnswer: 2, 257, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 171 - 13 = -2*h, -5*o - 2*h = -304. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k = -18*k - 2038. What are the prime factors of k?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63764076517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 5. Let l be d + 0\/((-3)\/(-3)). What is the greatest common divisor of 3 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(8\/3))\/((c\/c**(-5))\/c*c))\/(c**8\/(c\/(((((c**(-2\/17)*c)\/c)\/c*c)\/c)\/c*c*c))) assuming c is positive.\nAnswer: c**(-742\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6310, 12627, 18944, 25261?\n\"Answer: 6317*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**2 - 268*x + 264 = 0 for x.\nAnswer: 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4350.18 + -4350. Let r = -1400.200023 - -1400.02. Let g = i + r. Round g to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1334 - 95a?\nAnswer: 8c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9742609 to the nearest integer?\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 338\/91 + 2\/7. Solve g = -2*j + 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 at least -9589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -93, -199, -319, -459, -625, -823, -1059?\n\"Answer: -d**3 - d**2 - 96*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 18530*h - 1612118. Give n(87).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107\/48 - 71\/48. What is the second smallest value in 5, 4, 1, q, 0.02?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3612 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 742403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*p**3*x - 2*b**3*p**2 + 3*b**3*p*x - 3*b**2*p**2*x + 60*b**2 + 33688804*p**3*x + 4*p**2*x - 1 wrt p?\nAnswer: 6*b**3*x + 202132824*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2920, -5947, -8974, -12001, -15028?\nAnswer: -18055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (27 + -15)\/((-8)\/(-120)). Solve -176*b + m*b = 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82855.28 meters in micrometers?\nAnswer: 82855280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14507370 divided by -1611930\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (133\/(-266))\/((-1)\/(-8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1260)*-4*2 + sqrt(1260) + sqrt(1260) + sqrt(1260))\/(4*(sqrt(405) - sqrt(405)*5) + sqrt(405)).\nAnswer: 2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -158?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*a - 146*a = -292*a - 89*a + 21012 for a.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -242, -485, -892, -1517, -2414, -3637, -5240?\nAnswer: -7277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -584.298895 - -584.3. Round m to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.3 (b) -3 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 13*j - 9042. List the prime factors of j.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*g - 0. Solve -5 = g*w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6*y - 12. Let p be u(-3). Suppose -l - l + p = 0. Solve -l*z + 10 = -2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4 (b) -0.2 (c) -0.39 (d) -1 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0*b)**(-12)*(b*b\/b**(-1))\/(b\/(b\/b**3)))\/((b**(-1\/3))**(32\/3))**(7\/3) assuming b is positive.\nAnswer: b**(-100\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/386530 and 83\/3330?\nAnswer: 128714490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 47 - ((-6 - 3 - -12) + 8)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 810.5, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8*g - 3*g**2 - g**3 - 9 + 11*g**2 + 26. Let a be j(7). Calculate the highest common divisor of 70 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-984)\/4350)\/(12\/(-10)) - (-238)\/(-1190).\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 90028*r + 131. Let s(m) = 7*m. Determine s(x(y)).\nAnswer: 630196*y + 917","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-24)*-9)\/(2\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 289.9 + -290. What is the third biggest value in 1, 11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 1175*t + 86515. What is x(79)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2394 + 2408. What is the third smallest value in 0.5, t, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o - 3. List the prime factors of h(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -182 - 8*c + 355 + c - c**4 - 178 to n*c**3 + k + g*c + s*c**4 + t*c**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k**2 + k + 1. Let i be o(-1). Suppose -4*t + 88 = j, -6*j - 88 = -4*t - i*j. Calculate the lowest common multiple of 8 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 14c?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 (base 15) in base 6?\nAnswer: 5121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 20\/3. Suppose 113 + 40 = 2*s + 5*x, s + 4*x - 78 = 0. Let q = -227\/3 + s. Sort q, -2\/9, f in decreasing order.\nAnswer: f, -2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -462 divided by -33.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m - 3 = -3*v, -5*m = 5*v - 30. Suppose -2*a - 2*w - m*w = 11, w + 10 = -a. What is the units digit of (-7 - a)*(-26)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + g - 1. Let v(k) be the second derivative of -k**4\/3 - 5*k**3\/6 + 5*k**2\/2 - 319*k. Let c be (3\/2)\/((-18)\/(-24)). Give c*v(n) + 10*w(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39780 and 11505.\nAnswer: 2347020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2098 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 10. Solve 3*j + i = 10, -b*i + 9 = 4*j + 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - k + 8, -d = 3*k + 13 - 17 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 4158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 42940160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 7*t + 5. Suppose -3 + 5 = 2*g. Let x be g\/2 - 11\/(-2). Suppose x*h + 1 = 31. Give s(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 11 = -2. Let f = m + -9. Let k(j) = j**3 - 9*j**2 - 9*j - 13. Let t be k(10). Which is the biggest value? (a) -1 (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200424324 (base 5) to base 12.\nAnswer: 3244b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 + ((5 - (11 - 20)) + -11 - -3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ioooooooooooioioio. Give prob of sequence ooo.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 + 2*j**3 - 5*j**3 + 13*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/7640190 and 70\/681.\nAnswer: 1734323130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/1254*-6*(-3)\/(-3)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-12)\/((f\/(f*f**(-1\/8)*f))\/f))\/(f**(-1\/3)*f**6))**2 assuming f is positive.\nAnswer: f**(-379\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -78, -96, -114, -132, -150?\n\"Answer: -18*m - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -28844179, -0.5 in decreasing order.\nAnswer: 4, -0.5, -28844179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30092*v**5 - 18234*v**2 wrt v.\nAnswer: 1805520*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12175665?\nAnswer: 3, 5, 43, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 68*u + 412. Let p be 62\/(-10) - (-10)\/50. Let i be f(p). Solve 0 = -i*r + 8*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9784 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 26*i - 5622. Determine v(90).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*j + 80*j**3 + 73 - 85*j**3 - 22*j - 27*j.\nAnswer: -5*j**3 + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6159, -24633, -55423, -98529, -153951?\n\"Answer: -6158*s**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/(-55) - (-17)\/5. Suppose -5*a + 26 = 3*j, 2*j - 5*a = -x*j - 10. Factor 4*m**3 - m**2 + 1 - m**j + 8*m**2 - 4*m**4 + 4*m + 5*m**4.\nAnswer: (m + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 247120?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*m - 5*m = -23, -3*s + 43 = -4*m. Let h be (3\/2)\/(6\/8). Suppose -h*y = 4*i - 3 + 5, 5*i = -y - s. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*h + 15 = 5*h, 5*s + 5*h = 0. Let a(m) = -m**2 - 8*m + 18. Let r be a(-10). Sort r, s, 4\/3 in ascending order.\nAnswer: s, r, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*x = -406, -592 = -3*p - 0*x - 4*x. Suppose p = 4*i + 6*i. Solve i = -5*m, -3*u - 6 = 4*m + 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.668 rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 6*a + 110. Let t = -38 - a. What is the common denominator of 18\/t*2 + 0 and 37\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 6:51 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -34, 282, 19, -4 in decreasing order.\nAnswer: 282, 19, 1, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/3))**(22\/3)\/(x*x\/x**12*x*(x*x*x*(x*x\/(x**(-1\/2)*x*x))\/x*x*x)\/x) assuming x is positive.\nAnswer: x**(11\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 13706 = 4476. What are the prime factors of r?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 11:21 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -36.89. Which is the third smallest value? (a) 5 (b) -0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 4. Let z be n(-4). Let l(k) = -4*k + z*k + 3*k. Let c(u) = 2*u**2. Determine l(c(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21950 - -45870. Suppose -2*k + 4*c + d = 5*c, -k + 3*c = -11953. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8010019 smaller than -2.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93089\/40 + 2327. Let x = -615933\/150230 + -1\/15023. What is the common denominator of j and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1697?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 447 - 4019\/9. Let i = 193 - 2. Sort 0.4, n, i, -5 in increasing order.\nAnswer: -5, 0.4, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -85 (b) 0.4 (c) 5 (d) -3 (e) 16\/7 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2 + (-1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1404 and 12.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i + 17. Let x(y) = -4*y + 17. Let m(r) = -2*r + 8. Let p be m(5). Let z(a) = p*s(a) + 3*x(a). Let g be z(11). Sort -14, 5, g.\nAnswer: -14, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 10 - 14 = 0. Suppose 4*f - 2*a = 2*a + 36, -a - 27 = -l*f. Let w be (-36)\/54 + 52\/f. Solve 5*z - 6 = -n, 2*z - w = -0*z + n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/52 and 131\/6?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 k when four letters picked without replacement from bbbabbbibakkkbabkaee?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*j**2 - j + 1283 - 38*j**2 - 3593.\nAnswer: j**2 - j - 2310","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-11))\/(-36*(-56)\/(-643104))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 13669*r**5\/20 + 3293*r**4\/4 - 1094*r - 1. What is the third derivative of o(h) wrt h?\nAnswer: 82014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - n - n - 8, 2*p + 5*n = -20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 546, 1093, 1640, 2187?\n\"Answer: 547*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 375\/20 + 1 - (-6)\/24 and (-14 - 0)\/((-1)\/2).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471*n - 138 = 425*n. Let h(x) = x**2 + 7*x + 1. Let o be h(-7). Solve n = -q + o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26880977\/11 - -2441339. Let o = 2382 + l. Find the common denominator of 101\/6 and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383763161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 8*b**2 + b - 5. Let u be c(8). Let n(x) = 2*x - 4. Let k be n(u). Suppose -k = -a - 0*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(24)\/(sqrt(6) - sqrt(6)*2)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40332500?\nAnswer: 2, 5, 13, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j - 24. Determine u(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdp when three letters picked without replacement from bdp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w**3 + 290*w**2 - 910*w + 309. Give q(-61).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 15. Let q(u) = u**3 + 12*u**2 + 10*u - 7. Let b(r) = r**2 - 1. Let n(z) = -4*b(z) + q(z). Let v be n(-6). Calculate s(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 9*u**6\/2 + u**3 - 6. What is the third derivative of s(f) wrt f?\nAnswer: 1620*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**3\/4 + 55*m**2 - 667*m\/4 + 223\/2 = 0.\nAnswer: -223, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -511*q + 3080 - 3080 to the form n + d*q and give d.\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 98?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16313, -40262, -64197, -88112, -112001, -135858?\nAnswer: -159677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 419343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -302, -600, -898, -1196, -1494, -1792?\n\"Answer: -298*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*w**2 + 430604*w - 107652 = 0. What is w?\nAnswer: -26913, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3))**(1\/3))**(-46)*(t**1\/(t*t**5\/t))\/(t\/t**(4\/7)*t*t*t*t\/((t*t**(-2\/15)*t)\/t)) assuming t is positive.\nAnswer: t**(-3992\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6*(6 - (2 - 0)). Put u, -5, -6, -1 in increasing order.\nAnswer: -6, -5, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.303 - 0.103. Let a(n) = n**3 + 4*n**2 - n. Let r be a(-4). What is the second biggest value in -1, u, -3, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/10 - (-1542)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, q: 3, z: 2}. Give prob of picking 3 q and 1 d.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -4)\/(36\/(-198))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 * -288201\nAnswer: -489941.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p + p + 8*p + p. Let i = -9 + 17. What are the prime factors of c(i)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -216 + 216.3. Put 37, u, 3\/5 in increasing order.\nAnswer: u, 3\/5, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 239*q + 25*q - 20*q + 2*q to the form a + v*q and give v.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33374936 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3846, 7558, 11270, 14982, 18694?\nAnswer: 22406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 2*m - 6*m**3 + 5*m + 4*m**3)*(-13*m + 13*m + 4*m**2).\nAnswer: -8*m**5 + 4*m**4 + 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v**3 - 111*v**2 - 425*v - 9. What is w(-4)?\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 352113715 to the power of 1\/3, to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5*-2209\nAnswer: -11045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 98, 97, 96, 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/337180 and -59\/168?\nAnswer: 14161560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krkrkkkkk. What is prob of sequence krrk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - r + r)*(-2 + 0 + 0) + (4 - 6 - 1)*(9*r + 8*r - 9*r) + (-1 + 1 - 2)*(-2*r + 2*r - r).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 280394151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen eighths of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 6*l - 16 = 4*q - l, -5*l - 135 + 265 = 204*q - 686 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111011210012220 - -22?\nAnswer: 111011210020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1176) + (sqrt(1176) - (sqrt(1176) - 1*sqrt(1176))) - sqrt(1176))*6)\/(2*sqrt(200)*6))**2.\nAnswer: 147\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2 + 19*x - 18. Determine o(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from cnjggfg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*1\/(-12)*(-8)\/12.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 28 - 8. Solve 0 = -f*d + 1 + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12320 and 184796920.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-9)*-12 - 117863\/(-10964)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1155*o**2 + 1169*o**2 - 2344*o**2.\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 13. Suppose 11 = 2*q - w. Suppose -5*b + 3*b = -q. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -3901*y**2\/2 - 2*y - 1. Let u be p(-2). What is u rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*(k\/((k**(-1\/4)*k)\/k)*k*k)\/k*k*k*(k*k**(2\/7)\/k)\/k)**(4\/25)*(((k\/k**(1\/4)*k)\/k)\/((k*k**7)\/k))**(-4) assuming k is positive.\nAnswer: k**(906\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 1*(2 + 0). Suppose q*x - 4 = -9. Put 4, 2, x in ascending order.\nAnswer: x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 30, 19, 6, -9, -26, -45?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 10:15 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 11:04 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15\/4 of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 5*o**2 + 5*o + 8. Let w be (9\/(-2))\/((-6)\/8). Let v be h(w). Let f be 4\/v - 1\/1. Is 0 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -18\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 33332*y - 33336.\nAnswer: 4*(y - 8334)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + -49 - (3 - 1 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 11 (c) 0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 53.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c27 - -a3?\nAnswer: cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**(2\/7)*p)\/p))**19)**(-17) assuming p is positive.\nAnswer: p**(-1615\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159*-0.22785.\nAnswer: 36.22815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 34121\/4869?\nAnswer: 34121\/4869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 54, 102, 180, 288, 426?\n\"Answer: 15*o**2 + 3*o + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106238261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*l = -154*l. Let h(o) be the third derivative of 1\/540*o**5 + 11*o**2 + 0*o + l + 1\/72*o**4 + 0*o**3. Factor h(g).\nAnswer: g*(g + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9791 times -35.8?\nAnswer: -214.05178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u**3*v**2 - 1429*u**3 + 58*v**2 + 2 wrt u.\nAnswer: 3*u**2*v**2 - 4287*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 573*f**3 - 353 + 133 + 224 - 3*f**3 + 4*f**3 + f**3 + (4*f - 4*f + f**2)*(0*f + f + f).\nAnswer: 577*f**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, u: 2, x: 1, a: 2, e: 10, w: 1}. Give prob of picking 1 e and 1 h.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5805 is divided by 127?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p + g - 5 = -25*p, 3*p + 3 = 3*g. Suppose -p*q = 5*j + 2, 0 = 5*q + 4*j - j + 5. Let w = -8 - -37\/4. Is w greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Let c(k) = -21*k - 11. Let b(h) = -4*h - 2. Let z(t) = 11*b(t) - 2*c(t). Give y(z(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 4. Let o be z(5). Suppose 11 = 5*l - o, v = 4*l - 12. Let m = 26 + v. Calculate the remainder when m is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 2*h + 5*p - 435, 4*p + 222 = h. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(245)*-5.\nAnswer: -70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339432 is divided by 30851?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 37*h**2 - 324*h - 178. Determine q(-13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 4*l - 5*k, -16 = -2*l - 4*k + 4. Suppose 4*d = d + l. What is the second derivative of -4*j - j + j**5 + d*j + 2*j**5 wrt j?\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 280 + 182. Let z = -467 + j. What is the nearest to -1\/10 in -1\/5, -0.3, z?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 121b31 + -5?\nAnswer: 121b28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2520 divided by -84.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 15. Let n(a) = a + 1. Let f(j) = -4*n(j) - u(j). Is f(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118141 is divided by 128?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 44. Suppose 4*a = -g + 84, 21 = a - 9*g + 12*g. What is the highest common divisor of a and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4084776 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 2*h**2 - 2*h - 4. Suppose -18 = -4*t + 2*t. Suppose 11*v = 8*v + t. Determine r(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3.4. Let j = k - 0.1. What is the second biggest value in -1\/3, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, v: 2, h: 1}. Give prob of sequence tvv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 3, -9599*u - 3*w = -9594*u - 37 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241356553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 28*n + 3 - 54*n + n**2 + 34*n. Let b be z(-13). Let f = 52 + b. Is 30 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w - 3. Let d(v) = v**2 - 7*v + 7. Let m be d(5). Let l be b(m). Let c = l - 1. Calculate the highest common divisor of 10 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0354 + -2.9646. What is the nearest to 0 in -2\/75, 0.07, n, -1?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -20978?\nAnswer: 20974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)\/i)**(-1\/15))**(5\/6)*i*i**(6\/5)\/i*i**(1\/10)*(i\/((i\/(i\/(i\/((i*i\/(i**0\/i))\/i))))\/i)*i)**(-12) assuming i is positive.\nAnswer: i**(-698\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 376094?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqqb. Give prob of picking 1 q and 1 b.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 66*m + 1. Give r(65).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 2, -6, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -106, -93, -80, -67?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 1047.\nAnswer: -5235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + 16 + (353 - 343).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 26 = 3*x + 756, 2*f - 3*x = -706. Which is smaller: f or -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - l = 5 - 15, -4 = -l. Suppose -j*o = -4*s + 97, -5*o = -s + 6 + 31. What is the smallest common multiple of 20 and s?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 - 70. Let m(q) be the second derivative of q**4\/12 - q**3\/3 - 3*q**2\/2 - 6*q. Calculate m(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - y + 2. Let j(g) = -2*g**2 + 12*g - 17. Let v(c) = -j(c) - w(c). Determine v(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 6) in base 13?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -285.9 + 286. What is the nearest to -2 in f, -4, -3, 4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -58431, -116848, -175265, -233682, -292099?\n\"Answer: -58417*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-108)*(-2 - (-28)\/32)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 0. Let l = 0.5306 - 0.1306. Which is the closest to -1\/8? (a) l (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xflx when four letters picked without replacement from {l: 2, s: 2, g: 5, f: 5, n: 1, x: 2}?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 14*v - 36. Let x be k(4). Solve -3 - x = 2*z + d, 4*d = 3*z + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h - 4 + 4)*(-2*h + 2*h - h**2) - 2*h**3 + 5*h**3 + 22*h**3)*(h**2 + 2*h**2 - h**2).\nAnswer: 48*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d. Let h(k) = 21*k**2 - 6*k + 14. Let s be h(-12). Suppose z - q = 2*q + 20, z = 5*q + 30. Let x(f) = z*f - s + 3110. Give x(r(y)).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11412844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -0.2. Let x = 0 - -2. Let s = x - 2. What is the closest to u in -1\/6, 5\/6, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13679 in 23, -5, -4, -2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1364544 + 2?\nAnswer: -1364542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 802422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-f + 5*f - f)*(3 - 2 + 0) - f + 2 - 2 + (0*f + 0*f - f)*(-2 + 0 + 0) + (-1 + 2 + 0)*(-1 + 1 + f))*(-9*f**2 - 4*f + 2*f + 14*f**2).\nAnswer: 25*f**3 - 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 0\/(4 - 5). Let w be 5*g*(-27)\/(-45). Let p(v) = 2*v - 4. Determine p(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -894 divided by -6.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9\/4 + 3. Let o = 9\/8 - c. Sort o, -1, -0.2.\nAnswer: -1, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12.698 greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 23. Suppose 0 = -2*k - 0*k + g. Let h(m) = 866 - 253 - 600 - m. Determine h(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 6*x**2 + x - 8. Let u be p(0). Let o(q) = -q**2 - 5*q + 19. Give o(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 3*w + 4. Let c be (2 + (-2 - -4))*1. Let k(j) = j**3 - 10*j**2 + 2*j - 15. What is the remainder when q(c) is divided by k(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*-3*sqrt(252)*-1)**2 + 2*(-4 + 3 + sqrt(252) + -1)**2 + 5.\nAnswer: -48*sqrt(7) + 284017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(11) - (-1 + sqrt(11) + 5)) + (sqrt(1584)*1*4)**2)*-1*-1.\nAnswer: 25345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 24*z**2 + 7*z + 10. Let m(g) = 23*g**2 + 6*g + 8. Let s(c) = -5*m(c) + 4*p(c). Give s(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3512842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -18. Which is greater: 8 or f?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2 - 6832*n = 0.\nAnswer: -6832, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -23.4, 1\/5, -5, -1\/2, -196?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3244 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2 + 355618*b - 5888306 with respect to b.\nAnswer: -2*b + 355618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 5 - 14 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1196 and 25829?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 7:13 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y. Let k(t) = -6*t**2 - 2*t - 3. Let i(f) = -f - 1. Let m(l) = 3*i(l) - k(l). Determine m(n(z)).\nAnswer: 24*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*-1 + 14\/2. Suppose o - 19 + 12 = 0. Suppose -4*a = 3*k - 74, -o*a - 14 = -k - 3*a. Solve 2 = s*b + k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1250429 - -8736061\/7. Let d = 846351\/350 + y. Calculate the common denominator of 97\/10 and d.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((-6 - -4) + -2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3411279 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = -10*y + 98 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 265\/20 - (10\/25 - (-85)\/100).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3945, 3900, 3823, 3714, 3573, 3400, 3195?\n\"Answer: -16*g**2 + 3*g + 3958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-2006)\/6)\/((-1)\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 - 3*q - 9*q**3 - 835*q**2 - q**4 + 844*q**2.\nAnswer: 3*q*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 less than 21007204877?\nAnswer: 21007204875.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.238 and -511657009327?\nAnswer: 511657009326.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 2332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0818 take away 60266250138?\nAnswer: -60266250138.0818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78977 + -79313.322. Let l = i - -0.322. Let g = -335.999999819 - l. What is g rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12587*z**2 - 13981*z**3 - 12587*z**2.\nAnswer: -13981*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*u + 137, 3*u - 4*u = -2*t + 82. Solve 0 = -3*k + t*x - 35*x + 19, -2*x - 17 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 5*i + 2. Calculate y(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -70 + -47?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 + 2971*o + 147 - 196)*(o**3 - 2*o**4 - o**3 + 2*o**4 + 0*o**4 + 0*o**4 + (5*o**2 - 2*o**2 - o**2)*(o**2 + 3 - 3)).\nAnswer: 5942*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*r**2 + 26*r**2 - 7*r**2 + 9*r**2 + 14*r**2.\nAnswer: -73*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18259 and 2831?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-4) - (-4)\/16. Let w = g - 3. Solve 0 = -4*y + w - 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) 1 (c) -1\/2 (d) 11208 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*h - 4*c = -78*h - 14, 0 = 4*c - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.09359666 rounded to 4 dps?\nAnswer: -7.0936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2563409, -5126817, -7690225, -10253633, -12817041, -15380449?\nAnswer: -17943857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-1\/2)))**(2\/63)\/(d**8*(d*d**(3\/4)\/d)\/d) assuming d is positive.\nAnswer: d**(-1957\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4056475 (base 8) to base 6.\nAnswer: -34553005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -42, 1, -1 in ascending order.\nAnswer: -42, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 484878 a multiple of 748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + v = -v - 48, -5*v = 3*g + 44 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 19. Let b be u(-18). Suppose 4*f = 4*s + 3 + b, 4*f + 5*s = 22. Solve v - 3 = f*y - 4, 3*y = -2*v - 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1761 - -1760.7. What is the biggest value in 1.4, 0.5, -0.4, y?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 696*x + 1864 - 10062 = 16858. Suppose 32 = 4*q + 5*z - z, -3*z - 20 = -q. Let d = 153 - q. What is the remainder when d is divided by x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449237 is divided by 181?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 1 + (8 - (1 - -2)). Sort -5, -1, c, 0 in ascending order.\nAnswer: -5, -1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2731 - -13608?\nAnswer: 10877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, s: 4, w: 5, n: 1}. What is prob of picking 1 w and 1 s?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 279, 2496, 8737, 21084, 41619, 72424, 115581?\nAnswer: 173172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t - 10. Let d(u) = 17*u + 28. Give 3*d(v) + 8*h(v).\nAnswer: -5*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 5*z + 1 + 13, -4*z = 2*a - 4. Let l(q) = -6*q. Let o(c) = 7616 - 5*c - 7616 - c**2. What is a*o(s) - 5*l(s)?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -11*u**2 - 5 + 12*u**2 + u + 7. Let p = 2 + 0. What is l(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 24 = 4*r, r - 29036*t + 29031*t = -21 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*r = -20*r - 53 + 410 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 9*x**2 - 239. Let l be f(11). Solve 0 = l*u + j, 8 = -5*u - 5*j - 22 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*n**4 - 4201445*n**3 - 147101342460*n**2 - 1716782992471280*n - 214595575608640.\nAnswer: -5*(n + 35012)**3*(8*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 340275 - 340277 - 4*v**3 - 97*v + 3*v**3 as n*v**2 + a*v**3 + z + u*v and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, z: 1, c: 1, x: 7, l: 3}. What is prob of sequence cxlo?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1171 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -21\/13, 4, 6, -2, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 21\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8921 + -8299. Is i != 627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1815730 and 0.1.\nAnswer: -1815729.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212 and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = -5*w + 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134487 = 2336*c - 57574 + 2845 for c.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 2:29 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -134060 and -1474667\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12 - 10) + 0 + 2. Let k(g) be the second derivative of -5\/6*g**3 - 2*g**2 + 0 + 7*g - 1\/12*g**r. Factor k(d).\nAnswer: -(d + 1)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o**2 + 23*o**2 - 12*o**2.\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -245, 0.06, -0.1 in decreasing order.\nAnswer: 0.06, -0.1, -4, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5 and 0.3?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -6. Let s = 9 - 1. Calculate the lowest common multiple of w and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1129*h**2 + 961*h**2 + 1037*h**2 - 3*h.\nAnswer: 3127*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -142200 (base 5) in base 8?\nAnswer: -13445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 8:22 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -1 (c) 5 (d) 3 (e) -0.35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3 - 1519. Suppose m = n + 356. Is 54 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4001 (base 11) to base 15.\nAnswer: 18a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40.9 + -338.9. Is 1 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29 (b) -28 (c) 0.3 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/412 and (-4)\/6*-171*17\/(-204).\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 3*r - 6)*(1 - 3 - 4) in the form m + k*r and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*o**4 - 2*o - 19*o**3 + 29*o**3 - 8*o**3 to the form u*o**2 + n*o + j*o**4 + r + h*o**3 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*v + 108 = -110*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -5\/2 (c) -2557 (d) 34 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 3*x + 0*x - x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2\/3))\/((x**(-7)*x)\/x))**(-49) assuming x is positive.\nAnswer: x**(-1274\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q**3 - q**3 - 13*q**3)*(1 - 3 + 0) in the form n*q + s*q**3 + g + l*q**2 and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5171010?\nAnswer: 2, 3, 5, 13, 13259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {d: 1, c: 2, w: 3, e: 6, b: 1, j: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00914572549 to 5 decimal places.\nAnswer: 0.00915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(4 + 0) + -4. Suppose x*g + 2*g = 122. Suppose -3*m = -3*y + 66, -5*y + 4*m = -53 - g. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*i - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1\/2, 0.2, -0.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 310997991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 11:56 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -57.77 and 11989.\nAnswer: -692604.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 401802 and 334835?\nAnswer: 2009010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 + 882*y**3 + 146109*y**2 - 22669552*y - 69299904.\nAnswer: (y - 97)*(y + 3)*(y + 488)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3, 10 = 3*b + c - 12. Solve 3*g + s = 3, -4*g + b*s - 3*s = 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82296507.\nAnswer: 3, 17, 23, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*v - 4*v**2 - 18*v + 52*v**2 + 89*v - 21*v.\nAnswer: 48*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1911\/16758)\/((-429)\/(-297))?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Let s be 4\/6 + 5\/(-15)*-7. What is the third derivative of 5*l**2 - 6*l**2 + 29 + s*l**2 - 2*l**6 - 10*l**6 + l**3 wrt l?\nAnswer: -1440*l**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 - l + 4*l - 6 - 39.\nAnswer: 3*l - 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + 3*m**2 - 2*m**3 - 4*m**3 + 6*m**3 - 3*m**3 + (-m**2 + 2*m**2 - 3*m**2)*(-1 + 2*m + 1) + 34*m**3 - 41*m**3 - 69*m**3 + 3*m**3 - 4*m**3 + 2*m**3.\nAnswer: -82*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.957633 to 1 decimal place.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 176860 times 0.3\nAnswer: 53058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17110\/16 + 33\/(-88) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2 - (-33)\/(-44).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 19*x + 80. Let b be g(13). Suppose 0 = b*t + 3*l - 3007, 2*t = 2*l + 3201 - 169. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 940 and 59401796?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*f - 17, -f - 2*f = 2*w - 16. Suppose -3*n + 0*n + r = -5, w*n = 3*r + 11. Is -2 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 - 3*t + 66. Let k(d) = -9*d**2 - 13*d + 286. Let z(u) = -6*k(u) + 26*p(u). Let c(m) = -2*m - 544. Determine z(c(w)).\nAnswer: 8*w**2 + 4352*w + 591872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -469 + 469. Solve w = -5*g - 3*m + 7, 64*g = 67*g - 5*m - 11 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1620 (base 7) to base 10\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -29, 2 in increasing order.\nAnswer: -29, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36203 divided by -2?\nAnswer: -36203\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3870 + 3872. Solve -i + 10 = 2*i + 2*w, 10 = z*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + v + 0*v - 2)*(v**3 + v - v)*(-v + 2*v + 0*v).\nAnswer: 2*v**5 - 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(2 + (-75)\/10). Let g(f) = f - 16. Let w be g(k). Let m be -14*(20\/8)\/w. Solve -3*a = -m*a + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 5997, 4, 4\/5, -3\/4, 3\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 334760 and 15020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*w + 63*w = -222*w + 477. Which is the smallest value? (a) -1 (b) -256\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75284548*x**3 + x**2 - 86511549*x.\nAnswer: 451707288*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1216\/57 - 13)*111. What is the greatest common divisor of m and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 12:08 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b - 715 + 488 + 539*b**3 - 3*b - 272 wrt b.\nAnswer: 3234*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/2320 and -49\/881600.\nAnswer: 881600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, 111, 466, 1161, 2310?\nAnswer: 4027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 2304061.\nAnswer: 2304062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 22*f + 96. Give o(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**4 + 1 - 1 + (4 - 4 + 5)*(-2*k - 3*k**2 + 2*k)*(-k + 2*k**2 + k).\nAnswer: -28*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338533 is divided by 1244?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6, 3, 0, -3?\n\"Answer: -3*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850370743.\nAnswer: 23, 53, 421, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7137 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -54. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*k**2 - 37 + 3*k + 193*k**2 + 30*k**2 + 40.\nAnswer: 193*k**2 + 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6079\/4780 - -26\/1195. Which is the nearest to -2? (a) 3\/5 (b) 2\/19 (c) i (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2684652 divided by -29181?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g**3 + 70*g**3 - 3*g**2 + 7*g + 1 - 12*g + 3*g + 5*g to l*g**2 + h + a*g**3 + p*g and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1164827516 to the nearest integer?\nAnswer: 34130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6556\/(-29800)*15\/99?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7621182 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.00493 rounded to 0 dps?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-4)*s)*s)**39*s\/(s\/(s\/s**(5\/4))*s)*s**(2\/41))**(6\/7) assuming s is positive.\nAnswer: s**(76161\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -13. Let i = -245 + 242.94. Let g = -0.06 - i. What is the third biggest value in x, -1\/3, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*w**2)*(14*w**3 - 11*w**3 + 13*w**3) + 2*w**5 + 4*w - 4*w + (-4 + 4 - 1)*(-4*w**5 + 4*w**5 - w**5).\nAnswer: 51*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -221 - -233. Calculate the greatest common factor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1842 a factor of 77387946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4 + 8*c**3 + 14*c**2 - 68*c + 48 = 0. Calculate c.\nAnswer: -3, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(6 + 1) + (19 - 20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159 and 1272.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 468 + -469.93. Let n = q + -0.07. Which is the third smallest value? (a) n (b) -1 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -145622 or -145624?\nAnswer: -145622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -0.4, -3\/4, -31 in increasing order.\nAnswer: -31, -3\/4, -0.4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3149146, 3149147, 3149148, 3149149, 3149150, 3149151?\n\"Answer: t + 3149145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.68 - -771.32. Let z = g - 790.37. Let r = z + -0.63. Which is the nearest to 0.5? (a) r (b) -0.5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22192181 is divided by 265?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*p**2 + 28 + p - 4 + 22*p**2 - 6*p.\nAnswer: 2*p**2 - 5*p + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 121*r**2 - r - 1. Let j be x(-1). Let p(d) = 3*d**3 + 10*d**2 - d - 1. Let u be p(-3). Calculate the greatest common factor of u and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -483261798?\nAnswer: -483261802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - 6 - (7 - -1 - (84 + -73))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 486 and 7866?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3675.19365 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**5\/b)\/b*b\/(b**0*b))**(-28)*(b**1)**21\/((b*b\/b**(1\/4))\/(b*b*b\/((b**(1\/10)*b)\/b)*b)) assuming b is positive.\nAnswer: b**(-1217\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3312 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -179 + 264. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*b - 6*b. Suppose v + 20 = 2*v. Let q = v + -8. Solve 0 = -w - b*w - h - 8, 5*w = 2*h - q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*((-30)\/(-9))\/((-40)\/64)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/36)\/(1\/(4\/(-4)))*-1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -60*q**2 - 24*q - 20. What is y(-1)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 4:13 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1485\/8 - 186. Sort -10, -1, z in descending order.\nAnswer: z, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 7:34 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 10:35 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 149639066 to the nearest one hundred thousand.\nAnswer: 149600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 0*j + 3*j + 3*j - 4*j + 3*j + (-4*j + 3*j + 0*j)*(-1 - 2 + 4) - 2 + 2 + 2*j)*(-10*j**2 - 23*j + 23*j) + 3*j**3 + 3*j**3 + 0*j**3.\nAnswer: -64*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6+-28.4591172\nAnswer: -34.4591172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19066*i**5\/9 + 267524*i**4\/9 - 485050*i**3\/9 + 27088*i**2 - 800*i = 0 for i.\nAnswer: 0, 300\/9533, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36\/(-36) - (1 - 2)*1538.\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - 33*4\/(-6)) + 6. Put -1, 6, l, 0, 4 in descending order.\nAnswer: l, 6, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4097*134 - (1 - 3). Suppose 3*q + 0*q = n. Suppose 0*w = 3*w - q. What is w rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 327*w**2 - 16587*w + 11889. Determine y(-264).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 513 + -511. Put 1\/2, f, 7, 2\/9 in decreasing order.\nAnswer: 7, f, 1\/2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + s + 0*s)*(6 + 10 + 4).\nAnswer: -80*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m + 9*m + 5*m**3)*(7*m + m + 21*m)*(-2*m + 0*m + 4*m).\nAnswer: 290*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49960*q - 49896*q - 1600 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.0993 + -3.\nAnswer: 8.0993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, q: 7}. What is prob of sequence cq?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -122101 (base 3) in base 14?\nAnswer: -257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0.6. Let t be (66\/170 + 0)*(-10)\/10. Let p = t - 7\/17. Which is the fourth smallest value? (a) -2\/15 (b) p (c) 5 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 5*r**2 + r - 2. Let s be q(5). Let v(f) = -s*f**2 + 12*f**2 - 11*f**2. Let u(g) = -3*g + 4*g - 3*g. Calculate v(u(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -27218749?\nAnswer: -27218749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 5*g + 4. Let s be j(-5). Suppose s = -5*y + 19. Solve 0*m + y = -w + m, 0 = -w - 2*m - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/8 + 1379*r\/4 - 4199259\/8 = 0. What is r?\nAnswer: -3849, 1091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 163340100 a multiple of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(2736)*-2 - sqrt(2736)) + sqrt(2736) + (sqrt(2736) - -1*sqrt(2736) - sqrt(2736)) + -5)*-2)**2.\nAnswer: -9600*sqrt(19) + 4377700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5568557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -26. Let g(o) be the second derivative of 0*o**3 - 1\/60*o**6 + 0*o**2 + 1\/24*o**4 + 0 + 1\/84*o**7 - 1\/40*o**r + 4*o. Factor g(v).\nAnswer: v**2*(v - 1)**2*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 591*v - 52*v**3 - 591*v + (-v**2 + 3*v**2 + 0*v**2)*(0*v - 7*v + 3*v).\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from flll.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (444\/10656)\/(1 + (-6)\/8).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 434.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -3*x + 12, -4*d + 7 = -3*x + 19 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**1)\/w*w)**(-31))**(5\/6)*w**(-1\/4)\/(w*w**(-1\/4)*w*w*w)*(w\/(w\/(w**(2\/5)\/w)))\/(w**(3\/7)\/w*w) assuming w is positive.\nAnswer: w**(-176\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 233024 and 6949676.\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8603 to the nearest 100.\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, g: 4, h: 2}. Give prob of sequence hwww.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08684 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*-1*2 + sqrt(704))**2 + 3.\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29722679467*b + 4 - 29722679467*b - b**2 - 9 + 5.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, x: 5, u: 1, a: 1}. Give prob of sequence abu.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-260)\/(-91))\/(2*2\/14). Let q be 5 + (4\/h)\/(8\/(-40)). Let f be (1 + q\/6)*4\/3. Which is bigger: f or -9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81067?\nAnswer: 7, 37, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -8. Let t be 3\/(-9) - (-2)\/f. Let z = 41 + -41. Solve t = -z*x + 3*x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -275760324?\nAnswer: 1\/68940081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -31*2*8\/16. Which is bigger: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2274, 4570, 6866, 9162, 11458, 13754?\n\"Answer: 2296*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21\/(-6) + 3)\/((-3)\/42). Differentiate 2*v**4 - m + 4*v**4 + 5*v**4 + 14 with respect to v.\nAnswer: 44*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t**(-2))**(12\/11)*(t*t*t**(-4\/9)*t*t*t)\/(t**1\/t))**(-28) assuming t is positive.\nAnswer: t**(-15652\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 8168120 and -0.054 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -j. Is j + 3 + 325 + 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -27. Let w = 70 - -38. Calculate the greatest common divisor of w and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 852\/151271 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 13*m**5\/20 - m**3\/6 - m**2\/2 - 291*m. Let l(z) = z + 2. Let p be l(-5). Let b = 2 + p. What is g(b)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -451 greater than or equal to -451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3335608?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**3\/7 + 10516*n**2\/7 + 55058144*n\/7 + 45533924880\/7 = 0.\nAnswer: -1438, 5505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, -41, 3\/7, 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 249955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 26202189.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 13*z - 5. Let a(o) = 37*o - 71. Let s(p) = -14*p + 26. Let r(m) = 4*a(m) + 11*s(m). Give 3*c(d) + 7*r(d).\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -368, -55, 258?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 385 = p. Calculate the remainder when p is divided by 21 - ((-6)\/1)\/(-2) - 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -28.4. Let m = z + -14.4. Let r = m - -16.6. What is r rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/217 and -61\/9.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25553 = -17*y - 1464. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3130, -3, 5\/4, 26, -5, -1, 0.\nAnswer: -3130, -5, -3, -1, 0, 5\/4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 3*o**2 - 4*o - 1. Let f be v(-2). Let u = -6 + f. Sort -2, u, -6 in increasing order.\nAnswer: -6, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3429*x**3 - 1713*x**3 - 1711*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j = -15*j + 78 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2594 + 688*h**2 - 257*h**2 + 5172 - 2578.\nAnswer: 431*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -7*z - 4. Suppose -4*d = -21 + 9. Suppose -d*q + 8 = f, 5*f + 2 = 4*f + z*q. Which is bigger: f or 13\/6?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 807?\nAnswer: -809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6440\/99820 - 8416\/(-248).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/108*(-2466)\/12 and (-2)\/(-8) + (-58)\/(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -62280, -62279, -62278, -62277, -62276, -62275?\n\"Answer: p - 62281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 256299 or 256303?\nAnswer: 256299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1712, 2785, 4192, 5927, 7984?\n\"Answer: -b**3 + 173*b**2 + 561*b + 979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z**2. What is q(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10*66\/2)\/(23*603\/(-92460)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*(-44)\/(-33). Let x(a) = 2*a - 6*a - h*a. Let k(v) = v. Calculate x(k(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.148 + -4.202. Let h = -0.35 - i. Which is the closest to -1\/2? (a) -0.4 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.285 - 0.2222. Let q = -0.063446 + z. Round q to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -697 = -49339*o + 49298*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hcdqdjqhu. Give prob of sequence dcqh.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -355 + 355.5. Let y = 70\/3 + -23. Let q(u) = -u**2 - 4*u - 1. Let d be q(-4). What is the closest to d in t, y, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68968 or 68607?\nAnswer: 68607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 6*b + 3. Let q be c(6). Let z be 1 + ((-43)\/26 - 2\/(-4)). Put q, z, -3\/4, -5 in decreasing order.\nAnswer: q, z, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -5910133 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 16 = 11. Let r be 2\/(-6) + 20\/15. Let v be 2*(r + (-17)\/10). Which is greater: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.11 - 0.01. Let o = 4.9 + w. Do o and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134282.3643 rounded to the nearest 10?\nAnswer: 134280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 6*t**3 + 2*t**2 - 23*t**3 - 2*t + 9*t**3 + 7*t**3 in the form o*t + l*t**3 + f*t**2 + q and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25930219537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((507\/(-26))\/13)\/21*21\/(-6).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -28*g + 140. Let y be l(9). Let q be (-8*(-14)\/y)\/((-2)\/10). Solve -5*o + 0 = -q*k + 10, 5*k - 5 = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -855\/38996 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8326 and 543?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 - 70*j**2 + 154*j + 222.\nAnswer: -2*(j - 3)*(j + 1)*(j + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -9*f + 35. Is w(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11, -22, -35, -50?\n\"Answer: -v**2 - 8*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b060 - -2?\nAnswer: b062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000112 to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 13*s - 12 = -11*s, 0 = -5*j + 5*s + 15. Factor -4\/3 - 14\/3*u**2 - j*u.\nAnswer: -2*(u + 1)*(7*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -0.08, 7434?\nAnswer: 7434","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.72 + -14. Let k = h - 0.22. What is the fourth biggest value in 0.3, k, -1\/7, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*n**3 + 42*n**3 - 10*n**3.\nAnswer: 67*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -3\/2 (b) 3 (c) 3\/5 (d) -0.5 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 94252.79g in nanograms?\nAnswer: 94252790000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -3\/7, -71?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2.54115 times -0.3\nAnswer: 0.762345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 11:31 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(117) - (-2 + 2*sqrt(117)))**2.\nAnswer: -24*sqrt(13) + 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**2\/2 - 5*r + 8. What is the remainder when 18 is divided by f(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 9 + 762*a - 1468*a + 704*a - 4. Suppose 1 = -5*c + 26. Calculate z(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/11 - 24*k**4\/11 + 272*k**3\/11 + 4*k**2\/11 - 2190*k\/11 - 1900\/11 = 0 for k.\nAnswer: -19, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) -12 (b) -1186 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.5 times 827?\nAnswer: -15299.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -5*i + 9. Let g be i\/(-5)*(40 - 0). Let f = -17 - g. What is the greatest common divisor of 23 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c**2. Let x(o) = 5*o**2 - 2*o**2 + 0*o**2 + 0*o**2. Calculate d(x(f)).\nAnswer: -54*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 1 = 7. Let w(o) be the first derivative of 5*o**3\/3 - 2*o**2 + o - 58. Let y(l) = -6*l**2 + 5*l - 1. What is h*w(k) - 3*y(k)?\nAnswer: -2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) - (sqrt(68)*1 + sqrt(68))*2 - sqrt(68)) + (sqrt(68) - (2*sqrt(68)*2 - sqrt(68))))\/((-6*sqrt(32)*1 + sqrt(32))\/sqrt(8)))**2.\nAnswer: 612\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (12 + -4 - ((-8 - -2) + 7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87352 by -2.\nAnswer: 43676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fddddfdfdfd?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, a: 6}. Give prob of picking 3 z.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 3) + (102 + 23 + -7 - (2 - 0))?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5718, 5846, 6144, 6696, 7586, 8898, 10716?\nAnswer: 13124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -5, 125\/2, -16, 2\/9, 4.\nAnswer: -16, -5, -4, -1, 2\/9, 4, 125\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + -1)**2 - sqrt(38)\/sqrt(2)*-1) + 0.\nAnswer: -5*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3465692314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 + 3*g**5 - 3*g**5 + (0*g + 0*g - g)*(-2*g**4 - 2*g**4 + 5*g**4) + 2*g**5 + g**5 + 0*g**5 + (-4*g**2 + 5 - 5)*(2*g**2 - 3*g**3 - 2*g**2).\nAnswer: 17*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 + 2*o**2 + 7*o + 8. Suppose 266 = -601*w + 468*w. Calculate v(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eephepz. What is prob of sequence eh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -14\/1509?\nAnswer: -14\/1509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 49.4273 + -3.23581\nAnswer: 46.19149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70848 or -68839?\nAnswer: -70848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -17*x. Let p(i) = -4*i - 4. Let t(l) be the second derivative of 3*l**3\/2 + 5*l**2 + 32*l. Let j(s) = 10*p(s) + 4*t(s). Give j(o(r)).\nAnswer: 68*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3116 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/74982 and 5\/1762077?\nAnswer: 3524154","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*n - 40 = -4, u + 4*n = -9. Let k be 98 - (-3 - -1 - -1). Calculate the highest common factor of k and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-55)*(-4410)\/(-490)\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*(-3)\/6 + 9. Let v = q + -13. Let c(b) = -19*b - 1. Determine c(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 83*x + 1397 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + m**2 - m**2)*(1 - 5 + 3) + 4*m**2 - 5*m**2 + 4*m**2 + (4*m - m - 2*m)*(4*m + 2*m - 5*m) - 26*m + 94*m - 5*m**2 - 26*m.\nAnswer: -3*m**2 + 42*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686 = -987*t + 2360*t - 687 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, a: 10}. What is prob of picking 4 a?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37445*t**3 - 313539*t**2?\nAnswer: 224670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16944156 is divided by 182195.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*a - 1515 = 136*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(5) - (sqrt(605)*-1 + sqrt(605))) + sqrt(5) - (1 + sqrt(45))))**2.\nAnswer: 12*sqrt(5) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*t + 4*t - 4*t + (t - t + 2*t)*(1 + 1 - 3) as c*t + q and give c.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*h**6 - 8*h**3 + 377*h**2.\nAnswer: -1440*h**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 3956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g + 5*g + g. Let l be d(-2). What is the tens digit of -2 - (-2 + l + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {u: 2, o: 1, m: 1, w: 1, d: 1, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 29 = -4*j, -309*j = 5*h - 311*j + 23. What is the smallest value in 7, -0.06, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4262*a**2 - 2126*a**2 - 2138*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 5:44 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 10:26 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/192)\/((-454)\/3829987566). Let h = 87876 - l. Let v = 410461\/108960 - h. What is the common denominator of 91\/30 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6144167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + r + 231, 3*r - 33 - 26 = -i. Suppose -373 = -5*l + i. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 2*a + 3*a + (1 - 3 + 0)*(5*a - 3*a - 4*a + (3 - 2 - 3)*(4*a - 6*a + 3*a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 23. Let w be z(0). Calculate the highest common divisor of w and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5797834 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 18\/7183045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.8 - -2.5. Which is the third smallest value? (a) -0.2 (b) 1\/5 (c) 3\/7 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -152. Let b = 1011\/10 - l. Find the common denominator of 77\/20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 223*r - 89. Determine w(0).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -7. Suppose 2*w - 4 = 4*k - 24, -d*w = 4*k + 8. Suppose a + 3*a = k*p - 11, -24 = -4*p + 3*a. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-640)\/24*(-2 + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/9 (b) 19 (c) 0.2 (d) -221 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dsddsddsssssssdd?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10 + -1 + (-1 - -3). Suppose -2*p + 4*o - 16 = 0, 3*p - 3*o + l + 4 = 0. Let u be p - (-2 + 6\/2). Is -4 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.603141021 rounded to three decimal places?\nAnswer: 0.603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -110721.\nAnswer: 4\/36907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j + 58. Let y be k(11). Let b = 3 + -1. Suppose 3*a = 3*p - 126, -p - 84 = -y*p - b*a. Calculate the remainder when p is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 549951660?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*(1 + sqrt(2299))*6)**2.\nAnswer: 79200*sqrt(19) + 8280000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*f - 1030 = -349*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/16)\/(-7) - 8759415\/(-1680). Calculate the greatest common divisor of 790 and z.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 61, -1\/5, 2\/7, -30, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v**2. Let i(g) = 5678*g**2. Give i(f(w)).\nAnswer: 204408*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(56)\/(sqrt(288) + sqrt(8) - sqrt(8) - sqrt(8)).\nAnswer: -4 + sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1700313?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(15\/7)*(w**27\/w)\/(w\/(w**(3\/5)*w)) assuming w is positive.\nAnswer: w**(1006\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 355 + 1438 = 0. What are the prime factors of w?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179*l - 178*l - 17583 = s, 5*l + 3*s - 87867 = 0. Is 27 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7348560 divided by 5.\nAnswer: 1469712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 4 = -5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14524*j**4 - 5*j**3 - 695*j**2 + 236.\nAnswer: -348576*j - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 - 1. Let q be v\/20 - 3\/(-5). Let x = 8 - -10. Solve -4*y = -f - x, -26 = q*f - 0*f - 5*y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 2500124?\nAnswer: 2500118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 + -56. Let z be ((-35)\/(-3))\/(-7)*(-27)\/15. What is the highest common divisor of q and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 3:39 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1093, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 - 10*a**2 - 69*a**4 + 15*a**4 + 14*a**4 + 22*a**4 - 9*a + 7*a to m*a**2 + p*a**4 + b + f*a + v*a**3 and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*d - 37, 3*r - 38 = -2*d + d. Let z be -3 + 2\/2 + 12. Let m = z + r. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2718.11 weeks to hours.\nAnswer: 456642.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)\/y*y\/y**4*y**5*y\/(y\/(y\/y**4)))\/(y**5\/(y**(-5)*y))**38 assuming y is positive.\nAnswer: y**(-345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-152928)\/252)\/59)\/(4*(-6)\/(-112)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 + 35*r**2 - 11*r + 9. Let z be p(16). Solve -z*i + 616*i = 105 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 19. Suppose -3*k = o + 4, -19 + 5 = -3*o + 4*k. Solve 2*h - 6 = 4*s, -o*s - h - p = -0*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/24 and -133\/2420.\nAnswer: 14520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/15*6\/4. Suppose -3 = -s, -4*s - 135 = 5*q - k*q. Let c be (-14)\/q - (-38)\/14. Solve 0*n = c*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 0. Let y(o) = -2*o + 2. Let v(d) = 1. Let s(w) = 1. Suppose -i + k = -7, 3*i + 7 - 24 = -k. Let r(u) = i*s(u) - 5*v(u). Give a*y(q) - 2*r(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3 - 1. Let d = 0.15 - 1.29. Let u = d - -0.14. Which is the second smallest value? (a) i (b) u (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 6 - 16 = 4*k, -d = 3*k + 2 + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ziq when three letters picked without replacement from zzzizziiizzizzizizqz?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 84\/11. Factor -10\/11*j**3 + a - 2\/11*j - 16\/11*j**2.\nAnswer: -2*(j + 1)**2*(5*j - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a36b2 (base 13) in base 12?\nAnswer: -1114874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 0 + (-2 - -76). Suppose -8*q = -i - 311. Suppose -f = 4*z - 1346, 0 = z + z - 4*f - 664. Calculate the highest common factor of q and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 6 = -5*t, 4*s + 10 = -s - 2*t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 + 97. Suppose 9 = 2*t + 2*x - 3*x, -2*t - i*x = -3. Factor 0 + 2\/7*g - 3\/7*g**3 + 1\/7*g**t - 1\/7*g**2 + 1\/7*g**5.\nAnswer: g*(g - 1)**2*(g + 1)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 438*f + 473*f + 209*f - 64*f + 32*f to the form o*f + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -16.4294.\nAnswer: 16.4294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 831 + -821.79. Let u = i + -9.213672. What is u rounded to four decimal places?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -34*m**2 - 384*m - 9. Let d(b) = 48*b**2 + 576*b + 13. What is 5*d(w) + 7*y(w)?\nAnswer: 2*w**2 + 192*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/40)\/((-56)\/224). Which is the biggest value? (a) s (b) 0.4 (c) 2\/47 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/3*(-7 + 4). Let r(a) = a**2 + 2*a - 9. Calculate the remainder when ((-4)\/(-4))\/((-1)\/(-101)) is divided by r(b).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10512473?\nAnswer: 71, 148063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -348339913 and 1.5.\nAnswer: -348339911.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - f = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 540 = -5*o - 1615, i - 225 = -o. Let x = i - 150. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1590 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65.8 + 101.8. Put 3, 1\/4, s in ascending order.\nAnswer: 1\/4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 297974.9km?\nAnswer: 297974900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 9:07 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210 divided by 60.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 8. Suppose 0 = j - a*g - 37, 0*j - 3*j + g = -111. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 26*n + 17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 7*y + 19. Determine w(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7403392 meters in centimeters?\nAnswer: 74.03392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -5*q + 81 - 75, -2*l - 4*q = -12 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(66)\/(1*sqrt(6)*-2))**2.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7165 and 19762503.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)\/w**(-4))**(17\/6)*((w*w**(2\/5))**29)**(-3\/4) assuming w is positive.\nAnswer: w**(-1487\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 1928496.\nAnswer: 9642480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 4, -2\/39, -3\/268 in decreasing order.\nAnswer: 31, 4, -3\/268, -2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**3 - 15*a**2 - 5*a - 16. Let t(k) = 7*k**3 - 31*k**2 - 9*k - 31. Let s(z) = 5*g(z) - 3*t(z). Is s(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230677784 to the power of 1\/2, to the nearest integer?\nAnswer: 15188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28\/13 in -5, 0.19, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10020 (base 4) to base 7.\nAnswer: -525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.64 - 0.14. Let a = -3 + g. Let r be (1\/(-2))\/((-8)\/6). What is the nearest to -0.2 in 2, a, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u*(u*u**(-4)*u)\/u)*u*u)**(-41\/2)*(u**2\/u)\/u*u\/(u*u\/(u**2*u)*u*u*u)*u assuming u is positive.\nAnswer: u**(-287\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(4\/9)\/(g**(-2\/5)\/g*g))\/((g\/(g\/g**8))\/g*g**7))**40)**(-1\/16) assuming g is positive.\nAnswer: g**(296\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s - 13. Let a = 622 + -600. Let v(u) = -9 + 5*u + a + 35 - 10 + 6*u. Determine 6*v(h) + 17*w(h).\nAnswer: -2*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-five quarters of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 10:32 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 52442317 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -107*s + 147. Let b be f(19). Which is bigger: -1885 or b?\nAnswer: -1885","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6209927.623 rounded to the nearest 1000?\nAnswer: 6210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 365.9181 millennia to years.\nAnswer: 365918.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4316, 4287, 4238, 4169?\nAnswer: 4080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/12 + 10\/4. Let g(o) = k*o**2 + o - 4*o - 3*o**3 + o**2 - 4. Is g(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t = 830. Let n be t\/18 - (-6)\/(-27). Suppose -3 = 2*x - p, n*x + 13 = 4*x - 3*p. Sort 2, -5, x in increasing order.\nAnswer: -5, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/748*8\/3.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 113*z + 125*z + 267 - 242*z - 3*z + 4*z + 0*z - 2*z + z - z + (-3 - 1 + 2)*(-1 - z + 1) - 1 + 2*z + 1.\nAnswer: -z + 267","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (-2*3 + 3). Suppose n - o*n + 30 = 0. Suppose 15 = 3*s - 0. Solve -n*p + s + 20 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1176 divided by -6\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002832031 to 7 dps.\nAnswer: -0.0000283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - (-58)\/4)\/(10\/20). Does 23 divide (14 + -9)*u*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 9:38 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - n + 7. What is the units digit of g(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -37*z + 40*z - 17, -2*y + 3 = -5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*m - 3*z = 321*m - 662*m + 113, -144 = 4*z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76.79 - 77. Let r = -10.79 + v. What is the smallest value in r, 3\/2, -4, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 6*c**2 + 9*c - 9. Let s be (-31)\/(-4) - (-33)\/(-44). Let f be j(s). What is the third derivative of 5*g**2 - g**2 - f*g**2 + 14*g**4 wrt g?\nAnswer: 336*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2071123, 2071115, 2071107?\nAnswer: 2071099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 6:20 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 11*q + 211358 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38343377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1449809075?\nAnswer: 5, 11, 13, 405541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92 - 458\/5. Let j be (8 + -9)*4\/(-10). Let j + 4\/5*n**3 - z*n + 2\/5*n**4 - 2\/5*n**5 - 4\/5*n**2 = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1709*o - 853*o - 856*o + o**2 + 109.\nAnswer: o**2 + 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -3*k + 2, 4*k - 24*j - 1 = -21*j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-21) + 1\/14*158. Let c(g) = -k - 9 - 543691*g + 2610361*g. Let z be c(6). What is z rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/2174635 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - 8*v**3 + 36*v**3)*(5 + 46 - 27) - 2*v**3 + v**3 + 2*v**3.\nAnswer: 721*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 1838 + 1041 = -980 for l.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**12)**(-31)\/(w**1*w**(20\/7)*w) assuming w is positive.\nAnswer: w**(2353\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -17 + 24 - (0 + -3) - -12766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 67 = -861. Calculate the common denominator of 8\/(-20) + d\/90 and -71\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, 8 in decreasing order.\nAnswer: 10, 8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5*h + 35, -4*p = 5*h - 65. Calculate the smallest common multiple of p and -15*(2 + 16\/(-5)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/6402 and -133\/30.\nAnswer: 32010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -2, -187 in descending order.\nAnswer: 3, -2, -3, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -175747 (base 11) to base 10\nAnswer: -271091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000102085 to six decimal places.\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 - 54*f - 30. Let q be c(-24). What are the prime factors of (-3284)\/(-6) + (-152)\/q?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 + 4*j**2 + 9*j - 9. Let y(k) = -3*k**3 - 5*k**2 - 10*k + 10. Let b(q) = 7*m(q) + 6*y(q). What are the prime factors of b(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -2. Suppose h = -5*g + 4*g - 68. Let d = 111 + g. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, l: 2, m: 5, v: 1, w: 3}. Give prob of sequence vwl.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-10))\/(1\/10). Let d(k) = 7*k**2 + 4*k - 4. Let g be d(q). Suppose g = -5*r + 9*r. Calculate the greatest common divisor of 161 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64456695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 - 22*f**2 + 10*f - 25. What is the units digit of a(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20491433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 278733 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-81))\/((-8)\/(-6)*1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -9, -4, 7, 24?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5321916?\nAnswer: 2, 3, 49277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbrrqbrsrb. Give prob of picking 1 s and 2 r.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmggmmgmmgmmmmmmmgm.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -220140 (base 5) to base 14\nAnswer: -2a6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 5 = -1, -5*y - 5*m - 35 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1211*p - 45. Let f(z) = -12110*z + 441. Determine 5*f(t) + 49*i(t).\nAnswer: -1211*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 + 9487?\nAnswer: 94a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -399324*s**2 + 3804561*s wrt s?\nAnswer: -798648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 3*s**2 - 17*s + 26. Let r(q) = 2*q - 6. Give -6*d(a) + 17*r(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*q - 6916 = 0, -3*g - 84*q + 6920 = -83*q. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-2 + sqrt(76) - sqrt(76)) + -2)**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -6*b - 6018. Let r = b - 324. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*i + 4*w, 0 = -2*i - 3*i - 2*w + 18. Suppose 0 = l - i - 26. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 1. Let h(k) = -7*k**2 + k + 3. Give -h(y) - 4*l(y).\nAnswer: 3*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -141, -545, -1211, -2139, -3329, -4781?\n\"Answer: -131*p**2 - 11*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1100 + 1097. Put l, -0.2, -0.7, 3, 0.05 in increasing order.\nAnswer: l, -0.7, -0.2, 0.05, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -841, -892, -945, -1000?\n\"Answer: -u**2 - 48*u - 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/6*138\/161. Suppose -3 = -p + 2*u, -5*p + t*u = -3 + 16. Let m(a) = 0*a**2 + 2*a**2 + a**2 + 5*a + 2 - 2*a**2. Determine m(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from igipzyggiizigzyyzyii. Give prob of picking 1 y, 1 i, and 2 z.\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 12:25 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 99*y**2 - 1629*y + 320. Determine t(-21).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 12 + 0 + -4 + (4 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 9:11 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57254164 and 1122?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhu when three letters picked without replacement from {r: 3, u: 1, f: 7, h: 1, w: 2}?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-4 + -3 + 9). Suppose l = -2*i + 47*i - 225. Which is the nearest to 0.1? (a) i (b) 1\/5 (c) 8.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231315?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(338*a**2 + 686 - 1369 + 681 - 2*a**5).\nAnswer: -4*a**5 + 676*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.72 and -0.16485?\nAnswer: 0.118692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/50*4)\/((-1380)\/(-1150))*350\/4.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -15, 5, 1 in decreasing order.\nAnswer: 5, 1, -0.1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 65 (b) 1 (c) -16 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -441*n**5\/4 + 15519*n**4\/4 - 736*n**3 + 35*n**2.\nAnswer: -n**2*(n - 35)*(21*n - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m + 12 = 0. Let g(o) = -o - m*o + 3*o - o. Let p(i) = 6*i + 2*i - 10*i + 9*i. Give g(p(h)).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w**5 + 1768*w**4 + 34560*w**3 + 188544*w**2 + 317440*w = 0 for w.\nAnswer: -10, -4, 0, 496\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*q**5 + 47*q**5 + 11*q + 3*q wrt q?\nAnswer: -200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 9. Let x be i(4). Let z = 2783 - 2779. Put z, -1, x in increasing order.\nAnswer: -1, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 - 7*n**2 + 8*n**2)*(-156*n - 324*n - 94*n + 127*n - 184*n).\nAnswer: 2524*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -2\/9, -0.5, -0.1, -22128?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 244, 242, 240, 238?\n\"Answer: -2*g + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1366\/7 - 5485\/28. Let n(x) = x**2. Let p be (-2)\/(-3)*(-6)\/(-4). Let o be n(p). Which is the third biggest value? (a) -3\/17 (b) l (c) 1\/5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 21*l + 265. Determine k(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**4\/24 + 2*f**3\/3 - 2*f**2. Suppose 32*i - 1218 = -142*i. Determine u(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/9*111)\/11. Let l = -5\/11 + m. Which is the nearest to 3? (a) 5 (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.199184 to 1 decimal place.\nAnswer: 41.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7863 - -17211. What are the prime factors of n?\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = 3*i + 10, 5*i + 15 = 0. Suppose 24 = -b - l*b. Is 2\/b + 785\/20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-324)\/(-70))\/27)\/(1*(-5)\/35)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.31 - 4.31. Put 5, h, -0.3 in increasing order.\nAnswer: h, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 a when four letters picked without replacement from {g: 3, w: 2, v: 7, a: 3}?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58 + 50 + 14)*(1 - 0)\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 48*c**2 - 3. Let j(m) be the second derivative of -m**4\/6 + 460*m. Calculate j(a(q)).\nAnswer: -4608*q**4 + 576*q**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116\/15, 2, 0.3, 4, -0.3 in ascending order.\nAnswer: -0.3, 0.3, 2, 4, 116\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*b**2*r*w + b**2*r - b**2*w**2 + 2*b*r*w**2 + 4*b*r*w + 3*b*w + 2*w**2 wrt b.\nAnswer: -12*r*w + 2*r - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -217694*g**3 + 44559.\nAnswer: -653082*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.0676, -5, 0, 0.3, -9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 15*d**2 - 5*d. What is the hundreds digit of g(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2494480 and 40?\nAnswer: 2494480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**2\/19 + 423818*b\/19 + 4661756\/19 = 0. Calculate b.\nAnswer: -211898, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -198.26, 5\/2 in increasing order.\nAnswer: -198.26, -5, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/12)*u)\/u*u)\/u)\/u*u**10*u**(5\/2)*u*u*u**(-2)*u assuming u is positive.\nAnswer: u**(149\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 14 - 15 + 50 - 12. Let l be (-6)\/(-3 + 1) - 10. List the prime factors of c(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112.43687 days to weeks.\nAnswer: 16.06241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + sqrt(17) + -4 + sqrt(17).\nAnswer: -2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 + 4*u**2 - 4*u**2 + (3*u**2 + u**3 - 3*u**2)*(2*u**2 - 2*u**2 + u**2).\nAnswer: -u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01731018458 to five decimal places.\nAnswer: -0.01731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -180 (base 10) to base 14\nAnswer: -cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -80 + (-4)\/3 + (-286)\/78. Put -3, j, 2 in descending order.\nAnswer: 2, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -0.4, -7\/17, 2, 3 in ascending order.\nAnswer: -7\/17, -0.4, -1\/9, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*r - 25*r + 93*r - 35*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 4*v + 12*v**2 - v + 12 - 8*v**2. Let z be h(5). Solve -2*f + k = 9, z*k - 14 = 3*f - f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 19460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/485628 and 1\/10188.\nAnswer: 1456884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-20) - 6\/(-10). Is 5 + u + -1 + -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 682199 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*g - 103*g = 36. Solve -6*w = -3*w + g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -6750\/7 + 18\/7*z**4 + 66\/7*z**3 - 525*z + 1\/7*z**5 - 460\/7*z**2 = 0.\nAnswer: -9, -5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1628 is divided by 352?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 343*a**2 - 316*a**2 - 3 to r*a + w + p*a**2 and give p.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 654*z. Let a(m) = 5047*m - 5057*m - 1 - 3 + 4. Determine i(a(w)).\nAnswer: -6540*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/167, 0.3, -5\/2, -1?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58723474 to the power of 1\/3, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 6:35 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -5, -214, 3, -7 in descending order.\nAnswer: 5, 3, -2, -5, -7, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/12981908 and 79\/2462086.\nAnswer: 142800988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6704 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.18, -1, 13\/3.\nAnswer: -1, -0.3, 0.18, 13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.586 and 181.\nAnswer: 181.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4322 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 134*n + 85 = -139*n + 50, 2*m - 35 = 5*n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 590*t**2 + 17 - 3*t - 296*t**2 - 292*t**2 to the form s*t**2 + h*t + g and give g.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 4:01 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1756 is divided by 436.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 - 688*j**2 - 135971*j\/2 - 1623615.\nAnswer: (j - 1470)*(j + 47)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1030 - 682. What are the prime factors of j?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d - 111. Let v = 62 - d. Are v and 24 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99 + -101. Let t(d) = 7*d - 3. Let j(s) = 16*s - 5. Let l(k) = p*j(k) + 5*t(k). Calculate l(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4 + sqrt(80) + -1 + sqrt(80) + sqrt(80) + sqrt(80) + -3*(sqrt(80) + -1 + sqrt(80)) + -5)*-5*-5 + 0)**2.\nAnswer: 68800*sqrt(5) + 229584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 157 and 1272\/120 - 8\/5?\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l**(-11)*l*l**(-13)*l*l)\/(l*(l\/(l*l**(-5)))\/l*(l*l**(6\/13))\/l) assuming l is positive.\nAnswer: l**(-305\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(528)*1*-2)\/((sqrt(1584) - 2*sqrt(1584))*-3 - (sqrt(1584) - sqrt(1584)*2*2)).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/7 - 7298*c**2\/7 - 5534720*c\/7 - 170976600 = 0 for c.\nAnswer: -2709, -470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001773 to 7 decimal places.\nAnswer: 0.0000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 117656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 91*x + 504. Give s(-6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 1799*t**5\/20 + 5*t**4\/2 + 8*t**3\/3 + 2*t + 353. What is the third derivative of x(o) wrt o?\nAnswer: 10794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 624?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - d**2 - d - 5. Suppose 2*k = k + 2. Suppose 0*x = -k*z - x + 10, 0 = x. Suppose -f - 5 = -5*h, -h + 0 + 1 = -z*f. What is p(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5*j - 2, 3*m = -j - 2 + 12. Suppose 1 - 12 = -g - 3*x, 4*g = -m*x - 1. Is (-746)\/g + 18\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 304*c - 19 + 7 + 8 + 4 to the form b + y*c and give y.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2 - 6. Let s = 1 - l. Let d(p) be the first derivative of -p**4\/4 - 7*p - 1. What is d(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 6:32 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 5:17 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 188432 = 2*n, -5*d + 4*n - 471083 = -10*d. Let a = -55819 + d. What is a rounded to the nearest one thousand?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 l when four letters picked without replacement from uusluluulllllslllss?\nAnswer: 50\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2717993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/((-9)\/(-15)) + -1. Suppose -2*t = 4*v - 12, -11 = -5*v + k*t + 4. Calculate the remainder when v is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**5\/4 - 17*h**4\/2 - 189*h**3\/4 + 539*h**2 + 1349*h - 4332 = 0?\nAnswer: -19, -4, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooj when three letters picked without replacement from joookjjkjo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1559.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -185000 to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 34 = -4*x, 2*x + 2*x - 38 = -3*y. Let j(f) = f**2 + f - 1. Let h be j(2). Let q be x\/(-3) - h\/15. Sort q, -5, 0 in increasing order.\nAnswer: -5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6, -24, -56, -102, -162, -236, -324?\n\"Answer: -7*t**2 + 3*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + 0.2. Let l be ((-9)\/((-135)\/12))\/(-2). What is the third smallest value in -1, l, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -758.036 rounded to 0 decimal places?\nAnswer: -758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 = 2*m - y, 4*m - y + 12 = 0. Let s be 6\/(-9)*m - -2. Suppose t = -s*t. Solve 4*o + t*o + 20 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from {g: 4, e: 16}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/8725 and 23\/300?\nAnswer: 104700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 - 3*l**3 + 2*l**3 + (3*l - 2*l + l)*(-6*l**2 + 2*l**2 + 3*l**2) - 59*l**3 - 124*l**3 + 55*l**3 in the form j*l + z*l**3 + o*l**2 + r and give z.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 + -58. Let l = 56 - s. Suppose -l = 6*n - 16. Solve n = 2*t + 2*o + 4, -3*o - 4 - 5 = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 236. Let q = -139 + u. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -10. Let h be (-6)\/4 - (-25)\/x. List the prime factors of h\/4 + 6*2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-18)*j**(-1\/7)\/j*j**(-8)*j**(-1\/3))**(-5) assuming j is positive.\nAnswer: j**(2885\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmm when three letters picked without replacement from rmqmqqqmmmqmqm?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-24)\/(-20)*(-10)\/3. Let m(s) = -s**2 + 5 + s + 0*s + 4*s. Let x be m(5). Sort n, 0, x in decreasing order.\nAnswer: x, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247575204 divided by -82525068.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 3*x**3 - 4*x)*(269*x + 223*x + 43*x).\nAnswer: 1605*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 - (-776)\/88) + (-4)\/(-22). Let m be (3 + 0)\/((-3)\/(-10)). Calculate the greatest common divisor of x and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 12, p - 256 = 4*h + 50. Suppose 2*j + 104 = p. Calculate the remainder when j is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198928453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157640350 divided by 4260550.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 226.\nAnswer: 2938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*o**4 - 19*o**4 + 23*o**4)*(6 - 2 - 2)*(-4*o + 5*o - 2*o).\nAnswer: -58*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*b - 9 + 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -m - 30, -4*w + m + 0*m = 15. Suppose 2 = 3*c + 4*n - 18, -c = -2*n + 10. Let q be ((-2)\/(-6))\/(-1 - c). What is the closest to q in 1, w, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 11:49 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7 = 4. Let y(r) = r**2 - 43*r + 2. Let h be y(43). What is the closest to w in -3, h, 10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 730 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 643 = -5*i - 608, 6*o + 62 = -4*i for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 7. Suppose 2 = 4*k + 3*m - 12, -2*k - 3*m = -10. Find h such that 2 - h**3 + 2*h**5 - 3*h**l + 10*h**k - 14*h**2 + 2*h + 2*h**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1 = -4. Let g = 14 + -13. What is the third derivative of -9*y**5 + q - g - y**2 - y**2 wrt y?\nAnswer: -540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24379270.3 * -0.5\nAnswer: 12189635.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -2\/5 (c) -0.7 (d) -0.2 (e) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87 - 66. Let s be 3*(-3)\/(-27)*z. What is the greatest common factor of s and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 5*s**2 - 5*s + 9. Let z(j) = j**3 - 2*j**2 - 2*j + 4. Calculate 2*q(f) - 5*z(f).\nAnswer: -3*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.2403543 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -22, -4, -596, -20, 1, 3.\nAnswer: -596, -22, -20, -4, 1, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-1 + 8426\/8422). Suppose f + 2*w = 3*f + k, 4*f + 50526 = w. Let u = -252677\/20 - f. Find the common denominator of u and -103\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 762960216.6 and 317.\nAnswer: 762960533.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-406) + 12270\/5655?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 12:17 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 17 = -34. Suppose -2*y + 29 = -35. What is the remainder when y is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -4*y + 51, -3*q + y + 143 = 35*y - 256 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -170 - ((-386757)\/1512 + 86).\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-143)\/(-1716))\/(0 + 1) + 1 + 659\/12.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 3. Let x be (48\/10)\/(t\/(-5)). Let n = 31 - x. Calculate the highest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43002 + -3043?\nAnswer: -50045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14 - 28640505025273\nAnswer: -28640505025287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*f + 74 + 131, -f - 73 = -v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 4 - ((-2)\/(-2) + (-3 - -7))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3)*-3 - sqrt(3) - sqrt(3) - -4*sqrt(12)\/sqrt(4).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (14 - (5 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 971149469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 144910117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 17*c**2 + 11*c - 6. Let l be y(-6). Round l to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4243719384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 5 = 2. Let w(a) = 2*a**2 - 1. Let x be w(1). What is the biggest value in -4, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-7) - 16\/(-7). Let b be (s\/8)\/(7\/84). Is b\/(-4) - 189\/(-12) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118455413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b**2 - b + 7. Suppose 5*i = 7*i - 10. Suppose z - i*z = -8. Let c(x) = -x**2 + 2. Calculate z*o(g) - 7*c(g).\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w - 8. Calculate g(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 11 = 5*y + 14, -5*g = -y + 7. What is the biggest value in -4, -1\/7, y?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(3\/5)*h)\/((h*h*h\/h**(-8)*h*h)\/h))**(-10) assuming h is positive.\nAnswer: h**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - j - 9 = 0, -14 = 2*v - v + 4*j. Sort v, 0, -16 in ascending order.\nAnswer: -16, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-10 - 0) - (6 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 - (-88)\/14. Suppose -4*z - 14 + 38 = 5*h, 0 = z + h - a. What is the least common multiple of z and (2 - 12\/9) + ((-344)\/(-24) - 5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, e: 1, s: 2, p: 2, h: 6, v: 3}. What is prob of sequence hep?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-4)*-2*2. Suppose -2*m = -4*q, -5*m = -5*q + r*q - 24. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 v when three letters picked without replacement from vvvvvmvvvmkvkkv.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 + 0.01131?\nAnswer: -1.28869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97 - -100. Solve -16*y + 150*y**3 - 18*y**2 - 148*y**n + 4*y**2 = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 118 - 116.06. Let y = n + -0.14. Let r = -1.79971 + y. Round r to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8750516 millilitres in litres?\nAnswer: 0.0008750516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -10*r - 49. Let f(j) = -13*j - 49. Give 3*f(d) - 4*q(d).\nAnswer: d + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8533683, 8533668, 8533677, 8533716, 8533791, 8533908?\n\"Answer: f**3 + 6*f**2 - 40*f + 8533716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322 divided by -46.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 730 - 730. Which is the fourth smallest value? (a) -7 (b) 0.2 (c) -3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/4 (b) 45.22 (c) -5.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -103575 smaller than -103574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from rtjtrrjrtrfbjrutfj.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 58*m**3 + 2*m**2. Let w(x) = -x**3. Calculate b(y) + 4*w(y).\nAnswer: 54*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1252?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*b - 45*b + 21*b - 17*b + 17*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6355259390?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3029 and 28820.\nAnswer: 8729.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 53*m**6\/30 + m**4\/4 - 363*m**3\/2 + 3*m**2\/2 + 2101*m. Find the second derivative of b(h) wrt h.\nAnswer: 636*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11341438 + 3941438. Round o to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10167 and 4947940?\nAnswer: 14843820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2770570*u**2*y + 115*u - 2730*y wrt u?\nAnswer: 5541140*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 10 (c) 0.4 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35835064 and 4.\nAnswer: 35835064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -z - 189. Let d = z + 305. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 23*s + 40. Determine c(21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from iiuuxuuxuuiui?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 10*i - 6*i. Suppose i*u - 19 = -2*a, 3*u - 10 + 2 = -a. Suppose 6 = -2*t + 2*g - 4*g, 0 = -3*t + g + a. Solve 3*m = 12, -d - 2*m = -t*d - 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1904 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**3 - 4*u**2 + 4*u - 4. Let y(d) = -d**3 - d. Let z(v) = a(v) + 3*y(v). What is the remainder when z(-5) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2121 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00121289975 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-20)*(-3)\/((-15)\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -2*o - 4. Let l be o\/20 + 3\/2. Let f = 283729.02 + -283729. Which is the nearest to f? (a) l (b) 4 (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -220?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55168 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 7*h**2 - 3*h + 8. Let p(r) = 5*r - 101. Let d be p(19). Give g(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 + 5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -1 (b) -2 (c) -1\/2 (d) -2\/23 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -r + 5, -2*r - 8*s + 3*s = -13. Solve -m = -r*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 7*p**2 - p + 1. Calculate s(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 165.98\nAnswer: -8.299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + w - 24 = 0, 2 = b + 2*w + 3. Suppose 4*c + 519 = b*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 13*u**2 + 161. Let q(w) = 7*w**2 + 80. Determine -5*q(p) + 3*s(p).\nAnswer: 4*p**2 + 83","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0.6. Let x = f + -0.1. Which is the third biggest value? (a) 1\/6 (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0420779 * -4\nAnswer: -0.1683116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4191 is divided by 927.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2562 + -1768. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 5*y - 6, 5*j - 4*y + 1079 = 0. Is -204 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11, 29, 95, 187, 305?\n\"Answer: 13*z**2 + z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -2)*(-96)\/24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**3 + 97*j**3 + 5032 - 5034.\nAnswer: 90*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000211434838 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4517571 less than -1078?\nAnswer: -4518649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 - -68. Suppose -5*f + y*g = -513, 4*g + 412 = -f + 5*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, d: 7}. What is prob of sequence ndd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 355358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20.5 - -19. Let z = 1.4 + t. Sort 5, z, 0.2 in decreasing order.\nAnswer: 5, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - 39. Let d(r) = -25*r**2. Determine d(w(c)).\nAnswer: -100*c**4 - 3900*c**2 - 38025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 15 - 8 + 8 - 46*z**2 - 4 - 13. Let k(w) = 4*w**2. Calculate m(k(x)).\nAnswer: -736*x**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*i = -18, -2*q + 6*i = 2*i + 10. Put 3, q, 0, -3 in ascending order.\nAnswer: -3, 0, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-18) + (-5)\/(-2) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, -20, -137, -404, -881, -1628, -2705, -4172?\n\"Answer: -10*f**3 + 15*f**2 - 2*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143184 divided by 2768?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 672458 + -672418.8689. Let s = -39.1 + o. What is s rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20754827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041405726 rounded to five dps?\nAnswer: -0.04141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -17, 2 in increasing order.\nAnswer: -17, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*g**3\/11 - 487974*g**2\/11 + 3720695004*g\/11 - 1395192006\/11.\nAnswer: 2*(g - 15249)**2*(8*g - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5186?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7065 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -196 - -303. Let o = -103 + q. Let r = -2797\/13 - -215. Sort 2\/15, r, o in ascending order.\nAnswer: r, 2\/15, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 2 = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -672 divided by 458\nAnswer: -336\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -518*i**2 - 808. Let k(q) = -6. Let x(d) = -6*k(d) - m(d). Find the first derivative of x(w) wrt w.\nAnswer: 1036*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 97.2578897 to the nearest integer.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 19769.\nAnswer: 19773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, z: 2, e: 5}. What is prob of picking 1 q and 2 z?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2582109417.\nAnswer: 3, 37, 971, 23957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2704543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 - 3*m + 1. Let q(f) = -11*f**2 - 9*f + 3. What is 2*q(d) - 6*r(d)?\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 + 0*a**3 + 2*a**3 + (-17*a**3 - 23*a**3 + 4*a**3)*(-2 + 1 + 2) to x*a + s + z*a**3 + c*a**2 and give z.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**4\/12 + n**3\/6 - n**2 - 6*n. Let r be b(-3). Solve u + 21 = r*t, -5*u + t - 2*t = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**5 - 1332*a**4 + 21846*a**3 - 29160*a**2 - 129201*a - 76860 = 0. Calculate a.\nAnswer: -1, 4, 15, 427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 10:26 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 7. Let j(m) = -m**3 - 3*m**2 + 2. Let f be j(b). Suppose -4*x + 1 + 15 = -f*i, 4*x - 14 = i. Solve -c = x*v - 4 - 2, 0 = -3*v + 4*c - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + (4\/38 - (-14 - (-268)\/19)). Solve -3*f - 5 = -o*f + 5*q, -4*f + 5*q = -10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 46969, 94458, 141937, 189406, 236865, 284314, 331753?\n\"Answer: -5*u**2 + 47504*u - 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -874, -1751, -2618, -3469, -4298, -5099?\nAnswer: -5866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68477\/10 + 6839. Let d be (1578\/(-9))\/(460\/(-29)). Let t = d - 102\/115. Find the common denominator of p and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -401*q**3\/3 + 1189. Let y(r) = -r**2 + 5*r. Let k(h) = 2*h. Let l(w) = 5*k(w) - 2*y(w). Determine a(l(g)).\nAnswer: -1604*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51337642 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2478)\/(-42))\/(1\/430)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 5. Let y(n) = n**3 + 11*n**2 + 28*n + 2. Let m be y(-7). Solve -m - 13 = -u*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l. Let k(x) be the first derivative of 14*x**2 + 61. What is k(u(p))?\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18274*x**5 - 2*x + 35210 wrt x.\nAnswer: 365480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -685*k**2. Let o(m) = 3709*m**2 + 3709*m**2 - 7420*m**2. What is o(c(v))?\nAnswer: -938450*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163189 = -5*l + 18*l. Suppose -10*y + l = 3413. List the prime factors of y.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -0.112, 182, -5 in descending order.\nAnswer: 182, 1, 0, -0.112, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*o**5 + 50\/7*o**3 + 0 - 24\/7*o**2 - 4*o**4 + 0*o.\nAnswer: 2*o**2*(o - 12)*(o - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t + 7. Let n be r(9). Let f = n + 6. Solve 8 = 4*l, 5*l - l = -f*o + 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -45. Let d = -24 - -5. Let k = o - d. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 * 4262\nAnswer: -68192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2502*i**3 - 103 + 4*i - 8*i**2 + 8*i**2 - 2505*i**3 in the form r*i + x*i**2 + b*i**3 + w and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 5*z + 6. Let o be q(-6). Calculate the remainder when 3 - (-1)\/((-3)\/o) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 33 = -2*i. Find the common denominator of 131\/24 and (-195)\/(-200) + 4 + (-12)\/i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Suppose w + 5 = l. Let k be (2\/12)\/(l\/20). Which is greater: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 l when three letters picked without replacement from ttttttttltltt.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2808)\/585)\/((-108)\/(-270))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 2*s**2 + 2*s**2)*(-4*s**3 + 10*s**3 + 9*s**3).\nAnswer: -30*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*l + 3*l. Let b be (3\/l)\/(-1) - -43. Let n = -24 + b. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j + 31. Let h be y(7). Let g(v) be the first derivative of -h + 16\/3*v**3 + 0*v**2 - v. What is g(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 278830314*v + 1278439625 with respect to v.\nAnswer: 278830314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 14*i - 131. Calculate the remainder when 273 is divided by o(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(12)\/(sqrt(4) - 4*sqrt(4)) - (sqrt(147) + 0)))**2.\nAnswer: 176*sqrt(3)\/3 + 532\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 2*m**3\/33 + 2*m**2\/11 - 6*m\/11 - 51. Solve a(k) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3 = 2*p. Solve 5*w + p = -2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100745 is divided by 336.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8465 is divided by 394.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-7))\/((-1)\/7). What is the biggest value in v, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -124 - 111?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q - 4. Suppose 0 = -r - 3*c, -9*r = -5*r - c - 26. Let b be r*(-2 - 1)\/(-6). Let i be z(b). Solve i*t + 7 = -1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 25*n**2 + n - 2. Let j be x(-1). Let f = -31 - -7. Let z = j - f. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*d**3 + 171*d + 1345*d**2 + 1346*d**2 - 85*d - 88*d - 2691*d**2.\nAnswer: 59*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**6\/120 + v**3\/2 + v**2\/2 - 1. Let a(g) be the second derivative of j(g). Differentiate a(l) wrt l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 2*x + x**2 + x**3 - 3*x + 0*x to the form k*x**3 + b + f*x + q*x**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 378*l**2. Let i(y) = 5*y**2. What is n(i(w))?\nAnswer: 9450*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4*i + 44, -4*i + 20 = -3*m + 60. Let j(l) = -l**3 - 26*l**2 - 50*l - 597. Calculate the remainder when j(-25) is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 500 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 192 + -175. Calculate the remainder when 62 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 2*sqrt(162) + (1*sqrt(180))\/sqrt(10))\/((2*sqrt(1008))\/(((sqrt(7) - (sqrt(7) - sqrt(21)\/sqrt(3))) + sqrt(7))*-2)).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*r - 4*l, -l = 5*r + 2 - 30. Solve 5*q - r = -8*v + 4*v, -q + 22 = 5*v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 302 (base 5) to base 3\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 9*b - 11*b - 4 = 0, 4*b - 34 = 4*t + 6*b for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*d - 328*d + 652*d - 2*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62074846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 103*b + 11071. Give w(-111).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 3:42 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9 + (-1)\/((-2)\/2). Let g(f) = -2*f - 11. Let u be g(v). Suppose 4*j - 2 = -2*l, -3*l + 0*l = 2*j + u. Solve n = -4*r - 16, -j*r - 12 = -3*n + r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -9.16?\nAnswer: -0.5496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -101*a - 315. Let t(y) = -5 + 10*y**2 + 2*y - y + 1. List the prime factors of t(a).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 382603201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**6\/3 - 15*i**2\/2 + 7*i. What is the first derivative of s(f) wrt f?\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 4*z + 11*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6*p**2 + 27*p + 12. Let g be c(-4). Suppose g = 5*j + 4*x - 1304, x = -6*j + 8*j - 519. What are the prime factors of j?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*w + 3*d, d + d = 0. Let h be w\/6 + -2 + 2. Is 1 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2 = 4*m, -8*m + 4*m = -5*l + 6. Let v(s) = 244*s**2 - 3*s - 7. What is the tens digit of v(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 23\/19*f**2 + 1\/2*f**4 - 31 + 64\/57*f**3 + 8\/95*f**5 + 12\/19*f. Suppose h(p) = 0. What is p?\nAnswer: -2, -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -111, -200, -313, -450, -611?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2859 != -4184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 2*m - 17. Suppose -r + 5*r = m. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/3 + 2\/6. Suppose m*h = -3 - 2. Let r be 3\/14*16\/(-12). Which is smaller: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 - 0.42. Let d = -17 - -6. Which is the closest to d? (a) 4 (b) v (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 533725979 divided by -3.\nAnswer: -533725979\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2323638 by 6957.\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u**3 - 16047*u**2 - 2292*u = 0. What is u?\nAnswer: -764, -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 56, -110*n - 116 = -2*j - 223*n + 117*n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 893?\nAnswer: 88c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13038, -22791, -32544, -42297?\nAnswer: -52050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.439433cm in nanometers?\nAnswer: 54394330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8464 = -420*o + 2584 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/6*(2 - -2). Let o = -1 + z. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*d**4 + 301*d**3 + 946 wrt d?\nAnswer: -12*d**3 + 903*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 8:28 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 - 118479*f**3 + 710898*f**2 - 1421812*f + 947880.\nAnswer: -(f - 2)**3*(f + 118485)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 2 (c) 15 (d) 2\/133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -561351 or -561354?\nAnswer: -561351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -2, 48, -1, 4 in decreasing order.\nAnswer: 48, 26, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -796, -1674, -2550, -3424, -4296, -5166, -6034?\nAnswer: -6900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 5*v**2 - 5*v - 4. Let u be n(-4). Suppose -5*z - 65 = -4*t, -2*t - 4*z + 52 = -u*z. List the prime factors of -14*(-185)\/t + (-2)\/(-4).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 3, n: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 218 - (3\/(-6 + 3))\/(-1). Calculate the greatest common divisor of m and 527.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003131513313 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*k + 7888865 = 0, -z - 8412020 = 5*k - 523085. Round z to the nearest 100000.\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009274 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 26\/410529 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14797 - -16039. What is the remainder when u is divided by 134?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -576*w**2 + 296*w**2 - 4 + 283*w**2 - w**3. Suppose 3*q - 9 = -0*q. Give b(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155196.\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mimmiiimmmiiiimmmmmi. Give prob of sequence ii.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 9) to base 5.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**5 + 35*v**4 + 990*v**3 + 2710*v**2 + 2615*v + 855 = 0.\nAnswer: -9, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -48. Let g be -5 - h - (-4 - 0). Solve -3*f + g*f = -9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5439102?\nAnswer: 2, 3, 906517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29.48 + -29. Let t = 0.02 + u. Which is the second smallest value? (a) -2 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 70*n - 5 - 39*n - 33*n. Let i(b) = 7*b + 21. Calculate -2*i(z) - 9*p(z).\nAnswer: 4*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 84.27359l?\nAnswer: 84273.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 6:52 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/14 or -1614?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2358 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.5 - -2.5. Sort c, 0.2, -1\/11.\nAnswer: c, -1\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010200 - 1000112200?\nAnswer: -222102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 55*t - 17*t - 20*t - 2 - 23*t - 14*t. Let u(m) = 2*m**2. Give d(u(c)).\nAnswer: -38*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 8. Let k = 10.11 - u. What is k rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 - 41. What is the remainder when k is divided by (-1)\/(1 - (-72)\/(-66))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (224\/40 - 6)*5\/(-14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 12:29 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 639756\/90 - 4\/10. Round c to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -52 + -83 - -51.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4 = -2*v. Let -3*k + 3*k**v + 4*k + 0*k + 0*k - 4*k**3 = 0. What is k?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 975632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 1. Let m(r) = -30*r - 18. Let o(q) = -27*q - 16. Let y(f) = -8*m(f) + 9*o(f). Determine k(g) + y(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/3 - 14977*h\/3 - 29950\/3.\nAnswer: -(h + 2)*(h + 14975)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 3470 + 3*g - 13*g - 3483.\nAnswer: -g**2 - 10*g - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 7.04. Let v = -0.14 + s. Let j = -190 + 187. Which is the biggest value? (a) 1\/2 (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 + 34*k**3 + 76*k**2 - 82*k**2)*(-2*k + 3*k + 0*k).\nAnswer: 34*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10 - 5 - 6)*0. Let u(p) = p**3 + 16*p**2 + 14*p - 10. Let h be u(-15). Solve k*o = -h*o + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1.62 (b) -1 (c) -14 (d) -4 (e) 3 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/9*f**2 - 104\/9*f + 1352\/9 = 0. Calculate f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11212 + -4204?\nAnswer: -20421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34137, 137859, 310727, 552741, 863901, 1244207, 1693659?\nAnswer: 2212257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 6. Find the third derivative of -2*f**2 + 3*f**l + f**2 + 0*f**2 wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in years?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-15)*q**(1\/2)*(q**(-5))**19 assuming q is positive.\nAnswer: q**(-219\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 15*r**2 + 37*r - 13. Determine q(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/3))**(-27)\/(n**8\/n*n**(-6\/7)*n*n*n) assuming n is positive.\nAnswer: n**(-127\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5596397755 take away -6.1?\nAnswer: -5596397748.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11, -30, -59, -98, -147, -206?\n\"Answer: -5*n**2 - 4*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 83*n - 927. Let a be g(10). Factor 3\/4 + 1\/8*z**a - 3\/4*z**2 - 1\/8*z.\nAnswer: (z - 6)*(z - 1)*(z + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2 + 177995*d = 0 for d.\nAnswer: -177995, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/47)*i**(-4\/3)*(i\/((i*i*i**(-2\/5))\/i*i))\/i**(-19) assuming i is positive.\nAnswer: i**(12047\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 154 + -75. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 9*u = -24. Suppose -11 = p - 1. Let n = p + u. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2778, -9820, -21110, -36648, -56434, -80468, -108750?\nAnswer: -141280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqkvqqexkvqqs. Give prob of picking 1 e and 1 x.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**3 + 379 - 379.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -18. Let d = 4422 - 4422. Solve d = -2*y + t*y - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103 by 917.\nAnswer: -103\/917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, n: 2, e: 1, o: 6, t: 1}. Give prob of sequence onao.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a minute in seconds?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -398.27185 to the nearest integer.\nAnswer: -398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/51 or -5?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/7*g**3 - 2\/7*g**5 + 12\/7*g**2 - 12\/7*g**4 + 10\/7*g + 0 = 0. What is g?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4219 - (0 + 121\/11). What is the highest common divisor of 48 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 264 + 5?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*a - p, 4*a - 22*p = -17*p - 17 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(231)\/(sqrt(7)*-2))\/(sqrt(363) + (sqrt(363) - sqrt(363)*-2)))**2.\nAnswer: sqrt(11)\/44 + 705\/704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0*q**3 - 1\/36*q**4 + 1\/6*q**2 + 0 + 2*q. Factor m(l).\nAnswer: -(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 15*d**2 - 32*d - 191. What is b(-8)?\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 784800 and 800?\nAnswer: 784800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 3:42 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1801314 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14.71 (b) 0.1 (c) 20 (d) -2\/5 (e) 14 (f) -0.1 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-37 - -4)\/(-3) - -3. Solve 5 = 3*y + 2*m - m, -2*y - q = 5*m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - (1 + (-3 - 0))) + -407 + (433 - 40).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8451 = 86*t - 2*t + 3057 for t.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8776004, 8775964, 8775924?\n\"Answer: -40*g + 8776044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 8:48 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1918138 is divided by 227?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)*g*(((g\/g**(4\/3))\/g)\/g)\/g*g)**50 assuming g is positive.\nAnswer: g**(-950\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367663 is divided by 252?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 0, -4, -37, -2, 4 in descending order.\nAnswer: 4, 0, -2, -4, -25, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**(-3\/2))**(-3\/19)\/((v*v\/v**(-2\/13)*v\/(v*v**5*v*v*v))\/(((v**(2\/21)\/v)\/v)\/(v*v**(-3)))) assuming v is positive.\nAnswer: v**(64093\/10374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h + 8 - 8.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 270\/379337?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 + 1)*(-1 + 1 - 2)*(6*s - 11 + 11)*(-22*s + 5*s + 1788*s**2 - 1822*s**2) in the form g + v*s + l*s**2 + y*s**3 and give l.\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**(-8)\/((((n*n\/n**(1\/4))\/n)\/n)\/n*n**(-2\/7)\/n) assuming n is positive.\nAnswer: n**(71\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (142*v**2 + 86*v**2 - 136*v**2)*(2 + 3 - 4).\nAnswer: 92*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-16) + (-1)\/1. Let i = -56 + 57. Which is the closest to j? (a) 0.2 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*v**3 - 29*v**3 + 12*v**3 + (v**2 - 1 + 1)*(-4*v + 3*v - v) + (0*v + 0*v - 2*v**3)*(1 + 4 + 1) in the form m*v**2 + u*v**3 + z + j*v and give u.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*t = -a - 22, 5*t + 5 = 0. Let f be (-2 - 16\/(-10))*(a + -52). Calculate the greatest common divisor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2280 and 5598996.\nAnswer: 55989960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0*k**2 - 664*k**3 + 0*k**2 + 572*k**3.\nAnswer: -92*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2)\/d*d*d**9)**(-38) assuming d is positive.\nAnswer: d**(-361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 358901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**4 + 5*r**4 - 3*r**4)*(0 + 1 + 0 - 3 + 6 - 4 - 9 + 3 - 22 + (-2 + 1 + 2)*(1 - 1 + 3) + 1 - 5 + 2).\nAnswer: -27*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 12*c - 3312. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1880, 3, 1, -13\/4 in ascending order.\nAnswer: -1880, -13\/4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (6324\/279)\/(2\/(-3))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 12*o. Let c(i) = 4*i**2 + 6*i**2 - 5*i**2 - 2*i**2. Calculate c(z(w)).\nAnswer: 432*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/44 and 47\/1448.\nAnswer: 15928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3054324 (base 6) to base 9.\nAnswer: 244217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 700290350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*g - 180 - 30 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 825905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppa when three letters picked without replacement from {p: 2, f: 2, d: 1, a: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22891831, 22891835, 22891841, 22891849, 22891859?\nAnswer: 22891871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 9*b + 226. What is d(12)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6321 + 21. Suppose -9*n + 3 = -8*n. Suppose -c = -3*w - n*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o - 25*o + 36 = 8*t, 30 = 5*t + 4*o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 333*c + 6092 + 18550 for c.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 9:59 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 33*u - 68. List the prime factors of x(8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 6*j = -4*c + 22, 2*c - 2 = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 + 51653.1.\nAnswer: 51485.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 10 - ((-3)\/2 + (-6)\/(-12))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zczczzecyxceyy. What is prob of picking 4 c?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*c + 2 = 6, 3*c + 34 = -5*o. Let w be (-38)\/o + 1\/4. Suppose 4*q - 3*q = i - 20, -5*i = 2*q + w. Round q to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + 1 - (-6)\/(-1). Do h and 100 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 826 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*a - 54 - 10 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 582, 3, -5 in decreasing order.\nAnswer: 582, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 7*i**2 + 11*i - 9. Let b(p) = -p**3 - 4*p**2 + 12*p + 5. Let h be b(-6). Let j be n(h). Let o(y) = y**3 + 3*y**2 - 6*y + 1. Is o(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22342.\nAnswer: 2, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s - 4*s + 4*s + (-3 + 5 + 1)*((s + 0*s + s)*(1 - 4 + 1) + 2 - s - 2) in the form p + d*s and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 7*f - 10. Let h be v(-5). Suppose 0*j + 3*j = h. Solve 2*r - r - 2 = j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/19606?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -24, -4 in ascending order.\nAnswer: -24, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/21672 and -75\/602.\nAnswer: 21672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*(-3)\/12.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/19 (b) -2\/159 (c) -0.3 (d) -0.4 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.133 + 7.867. Let x = -0.19 + 8.19. Let q = t - x. Sort 0.4, -1\/11, q in decreasing order.\nAnswer: 0.4, q, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 2:27 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -147*d*f**3*t**3 + d*f**2*t**3 + 6*d*f*t**3 + 7*d*f*t**2 + 2*d*f wrt f?\nAnswer: -882*d*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -391046 and 4.\nAnswer: -391042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/253 and -5 - -10 - ((-558)\/345)\/((-8)\/20).\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*a**4 + 87*a**3 + 75*a**2 - 24*a.\nAnswer: -3*a*(a - 8)*(a + 1)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1778 + 1498 = -93*p + 249*p for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 736 divided by 4?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 123*f + 34 + 240*f - 95*f - 14.\nAnswer: 268*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -194 + 203. Suppose -14*h + 241000 = -m*h. What is h rounded to the nearest 1000?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 316 = 76. Calculate the common denominator of 1014\/84 + 5 + -14 and (-1)\/1 - 87\/u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 744.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 + (0 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.35, -0.124, 5?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28*((-18)\/(-6))\/3. Suppose -16*o + v*o - 24 = 0. Solve 6 = -3*t + s - o, -4*s + 4 = -5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 + -83. Solve -4*x + f = -13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/24*86\/129. What is the closest to 0 in t, 0.2, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 373*j**3 - 286 + 34 - 983*j**3 wrt j.\nAnswer: -1830*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1.5, -3, -4\/5, -5634\/7, -5 in descending order.\nAnswer: 3, -4\/5, -1.5, -3, -5, -5634\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 0 - 1\/6*a**3 - a**2 - 7*a. Determine y(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + 2*r - 5*r)*(5*r - 3*r - 4*r + (-3*r + 2*r + 0*r)*(7 - 3 - 3) - 5*r + 2*r + r + 10*r - 3*r - 6*r).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153 = o - 159 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 3*n + 3 = 14*b, -3*n + 13 = -5*b. Sort b, -18, 3 in descending order.\nAnswer: 3, b, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 7 = -0*w + 3*j, -4*w + 28 = -j. Let l be -4*((-14)\/8)\/w. Let c(a) = 1088*a**3 + a**2 - 3*a + 1. Is c(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 8:27 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3))**(-6\/5)*(b\/(b\/(b**(-3\/5)\/b)))\/(b\/((b\/(b*b*b**3))\/b)) assuming b is positive.\nAnswer: b**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2))**(2\/23)*y**7*y**(-3) assuming y is positive.\nAnswer: y**(93\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**3\/3 + 3*w**2\/2 + 9*w + 6. Suppose -2 = -2*s - 0. Let m be j(s). Solve -2*p + m - 7 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*a = -7 + 43, -5 = a. Let j = 0 + f. What is the remainder when 36 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**3\/9 - 3197898*q**2 + 34514616508960*q\/3 - 103543820745800\/9 = 0.\nAnswer: 1, 7195270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 10 = p, t - 2*p + 8 = -0*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.8, 1\/330, -28\/11 in increasing order.\nAnswer: -3.8, -28\/11, 1\/330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97419955 and 235.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22431.99 millimeters in nanometers?\nAnswer: 22431990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Let z be (-2)\/(-3) - (-52)\/12. Let u(v) = v**2 - 4*v**2 - z*v**j + 3*v**2. Let b(o) = -2*o. Give u(b(k)).\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -577742113*i**4 - 5*i**2 + 209466*i + 23.\nAnswer: -13865810712*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m**2 + 24*m**3 - 2*m**4 + 3*m**4 - 21*m**3 to a + c*m**2 + t*m**4 + s*m + n*m**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1186140, -1186138, -1186136, -1186134, -1186132?\nAnswer: -1186130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 440 + 17. Suppose -c = -14*s + 439. What is the least common multiple of s and 8?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 4*p - 68624 = 8*n, 0 = -p + 4. Is n a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 68. Let u = 50.9 - p. Let w = 4.9 - u. What is the closest to w in 0.4, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + 89*f + 8. Let q be p(-44). Which is greater: q or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/10*-1)\/(2*-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6005 + 0.5005. Let j = 7.2 + -0.2. Suppose 3*q = 5 + 4. What is the nearest to f in q, j, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 3:01 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -456 and 1968753?\nAnswer: -897751368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-162)\/132 + (-66)\/242\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 6 = -3*i. Let w be (-50)\/i + 2\/(-6). What is the units digit of 2\/w*-2*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by -1414499?\nAnswer: 48\/1414499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/10*2)\/(4\/60). Suppose -3*x - d = -4*x. What is the lowest common multiple of 36 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 5*h**2 + 4*h - 7. Let k be b(4). Suppose -k = -4*s + 2*p + 109, -5*p = -4*s + 265. List the prime factors of s.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4, 0, 4, 8, 12, 16?\n\"Answer: 4*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 389*u + 5062. Let x be p(-13). Suppose 7 = 2*o - 9. Calculate the greatest common divisor of x and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 9 + 4. Let k = d + 6. Solve 2*i - k = 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6998 is divided by 121?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2982 and -127.\nAnswer: -37.8714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -64632.58877 to the nearest ten.\nAnswer: -64630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.297 - -2.317. What is the closest to 34 in -2, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1751543*j**3*z**2 - 9*j**2 - 924*j*z**2 - 6*j wrt j.\nAnswer: -10509258*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 27*g - 128 = 0. Solve -g*p - 6*p - 70 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -11*g**2 - 26*g - 9. Let b(t) = -4*t**2 - 9*t - 3. Let n(j) = -8*b(j) + 3*f(j). Let m be n(-5). Solve 4*y = 5*d + 1, -2*y + 7 = -7*y - m*d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 164 + -228. Let i = 357 + n. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 u when four letters picked without replacement from {g: 2, k: 8, u: 9}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10103.0309 + 10104. Let u = o + 0.0939. Let b = u - 0.063. What is the nearest to b in -5, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 805 - 637. Let y(q) = 3*q - 2. Let h be y(2). What are the prime factors of 186\/h*o\/63?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 + 35. Let g be ((-10)\/(-4) - 2)*u. Sort g, 0, 5 in ascending order.\nAnswer: g, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5 + 2 + 5*q - 4*q - 4. What is m(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -44. Let r = 59 + o. What is r rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15313.\nAnswer: 15313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 - 5*m**3 + 4*m**3)*(-53 + 129 - 48).\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2227096?\nAnswer: 2, 278387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -12 - 3 - (-4 - 14).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -12150376\nAnswer: 24300752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*m + 422, d = 9*m - 10*m + 85. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**8\/8 - 7*y**4\/12 + 2*y. What is the third derivative of n(w) wrt w?\nAnswer: -840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5445 = -8067*c + 7572*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2519798519 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -109 + 213. What is the remainder when 131 is divided by q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 133.2981?\nAnswer: 53.31924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 2. Let o(h) be the third derivative of h**5\/60 + 7*h**4\/12 - 7*h**3\/6 + 12*h**2. Let k be o(-14). Give v(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 459*i - 10067. Let p be k(25). Calculate the highest common divisor of 66 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 873 and 1574310?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 12*z - 23. Let i be b(-9). Suppose -2*p + 254 = -i*t, 3*p - 381 = -4*t + 2*t. Calculate the remainder when p is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**3 - p**2 + 3*p + 2. Let l(v) = v**3 - 2*v**2 - 2*v - 1. Let x be (4\/(-2))\/(-2) - 2. Let m be l(x). Does 8 divide k(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - 14. Let s = k - -28.9. Let z = s + -2.9. What is the biggest value in 1\/3, z, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27909889.8 rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 141228*n**2*o*y + 63*n*o*y + 5*n*y + 4*o*y - 6*o + 2*y wrt n.\nAnswer: 282456*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.210449 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*k + 34*k + 36*k**2 - 21*k - 7*k**2.\nAnswer: 29*k**2 + 36*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**4 + 951545*v**3 - 4757600*v**2 = 0.\nAnswer: 0, 5, 190304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -759*b**5\/5 - 268*b**3 + 1961. What is the third derivative of c(n) wrt n?\nAnswer: -18216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(120\/29 + 5). Let i = r + -1\/53. Which is the closest to 2\/5? (a) 1\/7 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7674.6 and -131.98332.\nAnswer: 7542.61668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzo when three letters picked without replacement from {o: 3, j: 5, r: 7, z: 1}.\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -5, 12, 1.2 in decreasing order.\nAnswer: 12, 1.2, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -383775340 to the nearest 100000.\nAnswer: -383800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 75 + 303 = 4*q, 237 = 5*q + 3*p. What is the remainder when 133 is divided by q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -137 + (2 + -5 - 1). Let t = 124 - d. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 0, -10, -20, -30, -40?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/5))**11 assuming i is positive.\nAnswer: i**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 - 5*c**2 + 5*c - 3. Let v(t) = t**3 - t + 1. Calculate -3*v(h) - z(h).\nAnswer: -h**3 + 5*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 2, z: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from ssssnsssssnss?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 1\/3*r**4 + 3\/2*r**2 + 2\/3*r**3 + 0 - 104*r. What is l(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*t + 69*t = -52. What is the smallest value in 0, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*v + 20*v + 689*v - 144*v.\nAnswer: 726*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*1\/36)\/(6\/(-18))*-6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 19, v: 1}. Give prob of picking 1 v and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2. Let j be 2\/(-2) + (1 - -4). Let r(n) = n - j*n + 2*n. What is o(r(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.66 to the nearest integer.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from roffrfr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5187 + -4482. Calculate the remainder when u is divided by 147.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27.6 - -27.3. Let z = -18 - -25. Let g = -1370\/9 + 152. What is the fourth smallest value in z, -2, q, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 6*g + 3. Let h be z(-7). Let p = h + -8. Suppose p*b = -3*b + 80. Solve -o = -5*o - 4*y - b, o = y - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -429, 3\/7, 6\/11, -1027, 0.4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 101\/(-2)*4. Let l = b - -113. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 30. Let n be ((-18)\/12)\/v - 11\/(-18). Which is the fourth biggest value? (a) 1 (b) -3 (c) n (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -16*a**2 + 20*a - 11. Let v(o) = 3*o**2 - 4*o + 2. Let z(k) = -2*u(k) - 11*v(k). Find the second derivative of z(l) wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-6)\/(-16))\/(-5 - 1859\/(-352)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 9:55 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*w**2 - 2*w**2 - 2*w**2)*(-58*w + 15*w - 41*w).\nAnswer: 1428*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36996 or -36993?\nAnswer: -36996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 8446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m. Let r(j) be the third derivative of 0 + 0*j**3 - 9*j**2 + 19\/24*j**4 + 0*j. Determine r(q(w)).\nAnswer: 38*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44086707 a multiple of 618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/321 (b) -4 (c) 14.9 (d) -0.3 (e) -1\/8 (f) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -150355140 rounded to the nearest one million?\nAnswer: -150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j - 2*j**4 - 3*j - 6*j**2 + 0*j**3 + 2*j**3 in the form t*j + b + g*j**3 + r*j**2 + f*j**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 68\/(-14)*(24696\/49)\/(-72)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1899*z + 1954*z - 495 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*l = -4*l - 2, 15 = 3*l. Let v(k) = -4*k - 5. Let m(j) = j**2 + 1. Let d(t) = -m(t) - v(t). Calculate d(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23314 (base 7) to base 11.\nAnswer: -4555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*p + 30, -p - p + x + 10 = 0. Let k(s) = 9*s - 13. Let f be k(p). Suppose -f = -5*z + 72. Calculate the remainder when 72 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7328889 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -109*q**3\/6 - 17*q**2\/2 + 14*q. Is h(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 8. Suppose 5*k + 3*t = -31, -2*k - 5 = 2*t + 5. Let b be u(k). Suppose -i = i - 40. Solve b = m + 4*m - i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -5, 0.06, 112, 0.8 in decreasing order.\nAnswer: 112, 0.8, 0.06, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1. Let o = -0.8 - b. Let a = 34.2 + -30.2. What is the third smallest value in o, -3\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*j - 2*z, -9*j - z + 34 = -3*z. Solve j*c + 5 = u, -9*u + 10*u - 5*c = 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 m when three letters picked without replacement from mlllml.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -27*j + 139. Let r(g) = -5*g + 28. Give -4*h(v) + 22*r(v).\nAnswer: -2*v + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 37\/13 + 10\/65. Suppose -7*f + 8*f = p. Solve u = f - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -247.3 - 0.17\nAnswer: -247.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-18) + (-328)\/(-504). Sort -3, h, -0.3 in increasing order.\nAnswer: -3, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from xbxxuxxxbnncuxguuxxc.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k + 9 - 1. Does 20 divide k\/1 - 305\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 796280 to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-1) + 2 + -2. Suppose 2*p = -0*n - i*n + 22, 31 = n - 4*p. Let v = 85 - n. Is 38 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 + 26*n**2 - 4*n + 7. What is z(-9)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 382760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 5*m**2 - 1. List the prime factors of c(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**5*h - 460566*g**3*h**2 + 183*g**2*h + 4*g**2 + 4*g*h**2 + 40*h**2 wrt g?\nAnswer: 60*g**2*h - 2763396*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*n + 134 + 3237 = -5674 for n.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19 (b) -198 (c) 2\/125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 0. Suppose -2*a + 6*a = -r*u + 5, 0 = -u + 1. Suppose a - 2 = -g. Solve 0 = 5*l - 2*t + g - 19, 5*l - 14 = -t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/361, 58, 3, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.6 + -6. Let i = -12167 + 158173\/13. Let z(u) = -2*u**3 + u**2 - 2*u + 1. Let r be z(1). Which is the closest to o? (a) i (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1)*3621\/15691?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*h*m**2*t + a*h*m*t + 12*a*h*t + 90*a*m**2*t + 10*a*t + 379*a - 2144*h*m**2*t - h*m wrt m?\nAnswer: -4*a*h*t + 180*a*t - 4288*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253 + 249 + -61 + -4 + 11 + 8 + -2.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/81 or 1?\nAnswer: -4\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6755869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 0*o**5 + 32\/105*o**7 - 4*o + 0*o**4 + 0 + 79\/2*o**3 + 36*o**2 + 0*o**6. Differentiate l(w) with respect to w.\nAnswer: 256*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 102309 or -1\/4?\nAnswer: 102309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m = -278 + 266 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2880930 - 22419070. Round a to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-2))\/p)\/p*p)**(-41))**13 assuming p is positive.\nAnswer: p**1066","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 430 - 406.92. Let k = 1.78 - a. What is k rounded to zero decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*j + 8*j + 13*j + 13*j**4 - 4*j**4 wrt j.\nAnswer: 108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**4 + 1136*u**3 + 43596*u**2 - 717776*u - 32602960 = 0.\nAnswer: -235, -46, -29, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from qqqgqgchgqgggqqqgq?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 10:01 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**9\/(d*d**4*d*d))**(3\/13))**(2\/23) assuming d is positive.\nAnswer: d**(12\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 11 = -5. Let y = h + 4. Solve y*s - 4*s = 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -31*p - 17. Let f be o(5). Let w = f - -250. What are the prime factors of w?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**3 + 14*v**2 + 28*v - 96 = 0.\nAnswer: -3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 56 = 2*n, 3*n + 32 + 4 = 3*t. Suppose 3*s = t*s + 65. Put -0.05, s, 0.5, 0.4 in descending order.\nAnswer: 0.5, 0.4, -0.05, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + 0*t + t)*(-4*t**2 - 4 + 4) + t**3 - 2*t**3 + 0*t**3 + (4 - 2 + 1)*(-13*t**3 - 38*t**3 - 19*t**3) to i*t**3 + b + w*t**2 + l*t and give i.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 202*0.018147.\nAnswer: 3.665694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -410, -2 in descending order.\nAnswer: -1, -2, -5, -410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68\/(-85)*(-5)\/2 and 69?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 549\/(-72) - 10. Let w = 41\/196 - -2\/49. Which is the closest to w? (a) -4 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25967 + -1 - (38\/38)\/(2\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*z - 6*z**4 - 2*z**4 + 5*z**4 + 1 + 1 - 14*z**2 wrt z?\nAnswer: -36*z**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/((-8)\/((-280)\/3)). Solve -2*y - 12*y = z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1473426530?\nAnswer: 2, 5, 557, 264529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -28 * 144\nAnswer: -4032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 139501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171099478 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*a - 3)*(-45*a**2 + 39*a**2 - 107*a**2) - 6*a**3 + 2*a**3 + 2*a**3 in the form f*a + x*a**2 + d + z*a**3 and give z.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + 2 - (23 + -25).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546 a factor of 740545516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(7 - -7) + (-38)\/12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 0. Let l be 23\/3 + 3\/9. Let z be l\/(-70)*(0 - -5). Which is the second biggest value? (a) 0.1 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4 - 3*v**2 + 55 - 3*v**2 - 55 - 4*v = 0 for v.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 13 - 14 = -t, 84 = 3*l + 4*t. Does 7 divide 5374\/l - 1\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1486?\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -87*f + 176. Let m be x(2). Solve 2\/23*i**3 - 8\/23*i**m + 10\/23*i - 4\/23 = 0 for i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6293*u**3 + 118012 - 5755*u**3 - 118012.\nAnswer: -12048*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2 - 5 - 1874*x - 2879*x.\nAnswer: -4753*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -192 + 189. What is the second biggest value in -1\/4, 11, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 18*b**2 - 33*b - 7. What is u(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 3.3 (c) -3\/7 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000517071773 rounded to 7 decimal places?\nAnswer: 0.0005171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.5 (b) -3 (c) -5\/3 (d) -264\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wddddwdddd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-5)*-25 - (-198)\/32 and 39\/1568.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-947)\/7 - (-3)\/(-3). Let f = q + 136. Find the common denominator of f and (-30)\/9 - (-2)\/(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2520 + 3972 = -84*b + 2992 - 3640 for b.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2030 and 227505.\nAnswer: 3185070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1084780 rounded to the nearest ten thousand?\nAnswer: -1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 798494909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/(-4 + 15)*-467. Which is greater: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 774*t - 614 wrt t.\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**6\/2520 - s**5\/420 - 37*s**3\/6 + 21*s**2. Let y(h) be the first derivative of l(h). Factor y(x).\nAnswer: -x*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -5. Suppose 2*k = -3*g + m*g - 261, 264 = 3*g - 3*k. Suppose 2*v - 3*y = 58, v - g = -2*v + 4*y. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 27 = 43. Let x(j) = j**3 - 21 + 3 - 2*j + 7*j**2 + 7*j**2. What are the prime factors of x(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42688?\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12.9060868 times 5\nAnswer: 64.530434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -11) + (-3 - 8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1089 and 3388.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 (base 11) in base 2?\nAnswer: 101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -95, -156, -217?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14 - (-3 - 0 - -1). Suppose -y + 0*n = 4*n - 6, -2*y - 4*n = -t. Let o = -15 + y. Sort -4, o, 0.\nAnswer: o, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqoqqdod. Give prob of picking 1 d, 2 q, and 1 o.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 707, 2, -82, 0.24?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g**3 - 2*g**2 + 2*g**4 + 10*g**3 + 1 - 3*g**3 as j + f*g + c*g**2 + h*g**3 + z*g**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -22. Suppose 11*z - t*z = 32. Suppose -z*q - 21 = -77. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0391 less than -1?\nAnswer: -0.9609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 118146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 14, -2 in increasing order.\nAnswer: -2, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/22, -2, -36, -1.1?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -455868*v + 7560. Let y(m) = -1507*m + 25. Calculate -5*q(u) + 1512*y(u).\nAnswer: 756*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u + 63. Let h = -11 - u. What is the greatest common divisor of h and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12 + -0.72. Let b = -994.3998 - -995. Let i = b + t. Round i to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z + 3. Calculate p(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(1 + -1 - 2). Suppose 2*o - 5*m + 11 = 0, -1 = -g*m + 5. Calculate the greatest common divisor of o and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/4 of a meter?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10586*t - 8733 wrt t.\nAnswer: -10586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4085556595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1 - k**3 - 5*k**2 - 4*k - 9*k + 3*k - 5*k**2. Let j be v(-9). Suppose 5*a - a - j = 0. What is the smallest value in -0.5, 1, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from vhhjdhhhsjdhsqjjq.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-56) + 214\/14. Is y\/6*108\/10 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4*k*k**(-9)*(k**(3\/5))**(-21))**(4\/5) assuming k is positive.\nAnswer: k**(-332\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12012142 (base 6) in base 10?\nAnswer: 375038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -25. Let c be -4*109*(-3)\/6. Suppose -5*b + c = 43. Solve -2*j = -5*h + b, -4*j = -s*h + j + 40 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhaojgj. What is prob of picking 1 o, 1 a, and 1 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 8*q - 6*q + 452 = 0, 5*s - 2*q + 1151 = 0. Let g = s + 239. What is the remainder when 19 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1863 >= 751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -41*a - 35. Let j(q) = -6*q**2 + 11*q - 1. Let d(i) = -5*i**2 + 12*i - 1. Let o(y) = -4*d(y) + 3*j(y). Let z be o(7). Is f(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3987*n**3 - 1334*n**3 - 1332*n**3 - 1268*n**3.\nAnswer: 53*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 233 - 130. What is the remainder when w is divided by 24 - (4\/(-8))\/((-2)\/(-8))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5)\/u)\/u**(-5))\/(((u*u*u\/(u\/u**(2\/7)*u)*u)\/u)\/(u\/u**(-3))) assuming u is positive.\nAnswer: u**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*5\/10*2\/102?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(119) - (sqrt(119) + sqrt(119) + sqrt(119)*1*-6 + sqrt(119)))\/(sqrt(63)\/sqrt(324) - sqrt(343)*1).\nAnswer: 90*sqrt(17)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-81 + 81 + 6*a**2)*(0 + 3 - 1) + (-3*a + 7*a - 3*a)*(-1 + 39*a - 36*a + 3) in the form u + k*a**2 + g*a and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865.\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(5\/11))\/(m*m\/(m\/(m*m*m*m**27))*m) assuming m is positive.\nAnswer: m**(-336\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1100 and 29\/4372170.\nAnswer: 43721700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -0.71683?\nAnswer: -0.71683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 95 - 235 = 0. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**16\/(n\/(n**(-4\/3)*n*n)))\/(n**(-4\/13)*n**(2\/39)))**(13\/4) assuming n is positive.\nAnswer: n**(207\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11406678 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65242 * 0.1.\nAnswer: 6524.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4839, -9672, -14499, -19320?\nAnswer: -24135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 695 a factor of 987253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 173.3 and -586.\nAnswer: -101553.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) -3 (b) 0.2 (c) -0.3 (d) 2\/13 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(7\/(-4) + 2). Suppose 2*l + v = -2*l. Let f = -3.2 - -2.88. Sort f, 0.4, l.\nAnswer: l, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509021328 to the power of 1\/2, to the nearest integer?\nAnswer: 22562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*n + 65 = 0, -2*n = h + 8 - 33. Suppose k - h = -2*k. Let q = 6 + k. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 12 + -2 - (11 - 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1286.27974 to the nearest 10.\nAnswer: -1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 897414.4 decades in centuries?\nAnswer: 89741.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -734*w**5\/5 + 751*w**2 + w + 684. What is the derivative of d(g) wrt g?\nAnswer: -8808*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6321638*i**2*m*q**3 + 253*i**2*q**3 - 513*i**2 with respect to m.\nAnswer: -6321638*i**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(228)*-4 - sqrt(228))\/(sqrt(36)\/(2*sqrt(3))) - (-5*2*sqrt(133))\/(sqrt(84)\/sqrt(3)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10395, 41537, 93441, 166107, 259535, 373725, 508677?\nAnswer: 664391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-6\/7))\/j)**29*(j**(-9)*j*j)**36 assuming j is positive.\nAnswer: j**(-1735\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -0.4, 741, -19, 3, 7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 5 = k. Let m = 3523\/4 - 874. Calculate the common denominator of m and ((-57)\/(-2))\/(2 + k).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(3) - sqrt(3))*1 + sqrt(3)*-2 + 1)*-1)**2.\nAnswer: -4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.31197 - -5\nAnswer: 3.68803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (0 - -2) - -34. Let i be (-3)\/(-15) - (-9)\/5. Suppose i*y = -3*y + l. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.655 to 1 dp.\nAnswer: -11.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*(-5 + -3) - -10. Let n(m) = -m**3 - m + 1. Let y(a) = -8*a**3 - 4*a**2 - 6*a + 6. Let q(h) = t*n(h) - y(h). Factor q(b).\nAnswer: 2*b**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w**2 + 340*w - 684*w + 327*w to the form l*w**2 + v*w + u and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845259296 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -107936020 rounded to the nearest 100000?\nAnswer: -107900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -6)*2\/(-45). Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859490?\nAnswer: 2, 5, 61, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54.9 + -50. Let m = 4.4 - o. Which is the second biggest value? (a) 0.5 (b) m (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (-28 - 14 - -4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/18 - -47\/126. Let j(a) = -a**2 + 7*a - 5. Let x be j(6). Calculate the common denominator of n and (1\/6)\/(x\/47).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0*h*h**(-2\/9))\/(h*h**7\/h*h**(-6)\/h))**(4\/5) assuming h is positive.\nAnswer: h**(28\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/16, 618, 1, 3 in ascending order.\nAnswer: 3\/16, 1, 3, 618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4268, 4159, 3976, 3719, 3388, 2983?\n\"Answer: -37*r**2 + 2*r + 4303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1914 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p - 2. Let j be l(1). Let c(h) = -10 - 28*h**2 - 11*h**j + 7*h**2 + 6*h + 0. Let r be c(5). Round r to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 315\/4201 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -355, -399, -443, -487?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -557392, -557424, -557456, -557488, -557520, -557552?\nAnswer: -557584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(171) + -1 - sqrt(171)) - (sqrt(171) - -1*(sqrt(171)*1 + sqrt(171)) - sqrt(171) - sqrt(171)))**2.\nAnswer: -12*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1641000 rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -4\/3 (c) -463\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.3 (b) -0.1 (c) 1\/4 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 16*u**2 - 19*u + 34.\nAnswer: (u - 17)*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4044.814ug in nanograms?\nAnswer: 4044814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - sqrt(95)*-3*5)*-6*4)\/(-2*(sqrt(80) - -3*-3*sqrt(80) - sqrt(80))).\nAnswer: -16*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 10:08 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 41768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9}. What is prob of picking 4 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (120\/(-21) - -4)\/((-2)\/7). What are the prime factors of ((-12072)\/(-18))\/(4\/r)?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -21, -42, -69, -102, -141, -186?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3936 - 3936.4. Which is smaller: d or -5\/29?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*g, 0 = -3*f - 5*g + 12 - 35 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.16 + 0.16. Let i = k - -0.8. Put i, 5, -2 in decreasing order.\nAnswer: 5, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 11, 5, -3, -991, -12 in decreasing order.\nAnswer: 11, 5, -3, -12, -14, -991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43342 is divided by 504.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - m + 3*m)*(0 - 2 + 0)*(-1 - m + 1).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1413*f = -1423*f + 23980. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6*m + 19 = -4*p, 5*m - 2*p - 13 = 0. Solve 4 - m = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.8. Let n = -0.34 + 0.37. What is the nearest to n in g, -5, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 404 and 12.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1052?\nAnswer: -1\/1052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irr when three letters picked without replacement from irnvvirdvzivrvrrr?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -2. Let z = 134 + -135. Let c = 5\/7 - 13\/28. Sort z, c, o in decreasing order.\nAnswer: o, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-16))\/(15\/(-42))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 168321068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11122579*i**5 + 2*i + 8023444 wrt i.\nAnswer: -222451580*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367619487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 + y + 60. Let u(a) = -a**2 + a + 1. Give -q(j) + u(j).\nAnswer: 2*j**2 - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fflbfrifilliiixi. What is prob of sequence fx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 689 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9 + 3*v + 27 - 679*v**2 + 337*v**2 + 336*v**2.\nAnswer: -3*(v - 2)*(2*v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 7*g**2 + 8*g + 5. Let i be a(6). Let p be 6*33*148\/(-18). Let b be p\/(-16) - 3\/(-12). Calculate the greatest common divisor of b and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0 = 2*z + 2, 4*b = -4*z. Solve b = -4*k + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 100*i - 2. Let k be t(0). Let o(y) = -y**3 - y**2 + y + 2. Let n be o(0). Suppose -8 = n*m - 0*m. Which is smaller: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -21, 2, -53, -46.\nAnswer: -53, -46, -21, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2585 * -538.\nAnswer: 1390730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (5 - (9 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3114083.8 less than -491.58?\nAnswer: -3114575.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 2203030011303?\nAnswer: 2203030011312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) - (sqrt(768) + 3*((sqrt(768) - sqrt(768)*-2 - sqrt(768)) + sqrt(768))))\/(-3*sqrt(48)\/sqrt(192)).\nAnswer: 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u + 16*u - 2*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 8*b + 23. Suppose 0*p = 8*p + 160. Is g(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -504, 0.5, 0.1.\nAnswer: -504, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.7? (a) -226 (b) -0.4 (c) 0.8 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j - 12*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 7*s**2 - 7*s + 5. Let d = 63 - 40. Calculate the remainder when y(-5) is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51876408 divided by 187958\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -35783147 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*x**4 + 1911582*x**3 - 72794*x**2 - 6*x - 2 wrt x?\nAnswer: 192*x + 11469492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1100302 - 331321?\nAnswer: 102321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -4 (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - q - 57, -8*q + 45 = 5*t - 3*q. Put 7, t, 4\/7 in descending order.\nAnswer: t, 7, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11211 - -110?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - w + w)*(0 + 0 + 4)*(126 + 739 - 29) - 2*w + w**2 + 2*w.\nAnswer: 3345*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 + 46*b**2 - 7*b + 25. Let c be u(-40). Let w = c - -5842163\/108. Find the common denominator of w and 19\/132.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*m + 26*m - 12*m + (-2 - 3 - 6)*(0 + 0 + m).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -364*f - 37143. Give r(-102).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 8:20 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4 + 181 - 18*u**2 - 73 + 24*u**3 - 87 - 24*u.\nAnswer: -3*(u - 7)*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.3 and 1.204.\nAnswer: -5.1772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0084*-2.4.\nAnswer: -0.02016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 127\/7. Suppose 4 = -q - l - 4, 36 = -3*q + 3*l. Let j = q - -8. Is y <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a factor of 38221293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006988735 rounded to five decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.21228771 plus -0.007272?\nAnswer: 16.20501571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -191 (base 11) to base 8\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1416 = 66*c - 60*c. Suppose 0 = c*x - 231*x - 555. Is 112 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1533748?\nAnswer: 2, 131, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 8 - (-3710)\/220)*(80\/30)\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -29 + 14 - 4*t**2 + 15. Let g(m) = 16*m**2. Determine g(y(l)).\nAnswer: 256*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(238))\/sqrt(7))\/((sqrt(16)*-2)\/sqrt(8)) + 5)*-6*3.\nAnswer: -90 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1422 - 1399. Calculate the greatest common factor of d and 1817.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:18 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 320 = -8*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-6))\/(i*i**6*i))**18\/((i*i*i\/(i**(3\/4)*i))\/i*(i\/i**(-3))\/i*i)**(-34) assuming i is positive.\nAnswer: i**(-179\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (563\/(-2))\/((-11)\/22). Let c = i - -50. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*s = 324753, -1298961 = -4*t - 2*s + s. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2470 and 570?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -283*d**3 + 539*d**2 + 12. Let b(s) = -849*s**3 + 1616*s**2 + 34. Let v(z) = 6*b(z) - 17*m(z). Find the third derivative of v(i) wrt i.\nAnswer: -1698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 294932909*p**2 + p + 11164362?\nAnswer: 589865818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -3*n**5\/4 + n**4\/4 - 4*n**3\/3 + n**2\/2 - 10*n. Is f(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/(9\/54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 a factor of 21689550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 91d?\nAnswer: -922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 13*v. Let a(h) = 1336*h**2 - 679*h**2 - 671*h**2. Determine a(p(u)).\nAnswer: -2366*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159 - -204. Factor -4*h**5 + 0*h**4 + 32*h**3 + 2*h**4 + 2*h**4 - t*h**2 - 3*h**2.\nAnswer: -4*h**2*(h - 2)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68146 is divided by 921?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/sqrt(490) + -3*sqrt(396) + sqrt(11) + 3 + ((sqrt(176) + -2*sqrt(176))\/sqrt(4) - sqrt(44)).\nAnswer: -146*sqrt(11)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -19. Suppose 0*u = u - 5*z - 24, 5*u + 5*z = 0. Suppose -9 = -8*p + 3*p - h, -u*h + 4 = 4*p. Sort p, n, -3 in descending order.\nAnswer: p, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -21 (b) -12\/31 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 80, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -1. Suppose 0 = 63*q - 74*q + 11. Let k(c) = -c**2 - 150*c - 5622. Let l(x) = q*k(x) + 3*t(x). What is r in l(r) = 0?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -10\/98250581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8874, 17739, 26584, 35421, 44262, 53119?\n\"Answer: 2*n**3 - 22*n**2 + 8917*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.102, -2, -0.13, 2\/575 in ascending order.\nAnswer: -5, -2, -0.13, 2\/575, 0.102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*v + 5*q, q - 25 = -3*v - 3*q. Let l be 42\/9 - 2\/v. Solve 0 = -3*f + 3*r - 0*r + 9, r + l = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 - 3*o**3 + 2*o**2.\nAnswer: o**2*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113.5 - -164.8. Let d = y + -52. Which is smaller: d or 3\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5667 + 43a?\nAnswer: 5aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q + q - 2226141. Suppose 5*c - q = p - 91919, -3*c - 2*p + 93271 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -l - 3*w, -3*l + 142 = l - 2*w. Calculate the remainder when 15*8\/(-72) - (-1135)\/(-45)*-3 is divided by l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1753 - -1753.6. Sort -3, h, -4, -95 in decreasing order.\nAnswer: h, -3, -4, -95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1407, 2909, 4485, 6135, 7859?\nAnswer: 9657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -40*p + 237. Let x be s(6). Let n(u) = -3*u**2 + u - 2. What is n(x)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 4*q**2 - 4*q - 5. Let p be a(-6). Let r(u) = -181*u + 89*u + p*u. Let o(m) = m**2 - 19. What is o(r(g))?\nAnswer: g**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 2:36 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -11\/6*d**3 + 3*d + 0 + 0*d**2. Let h(f) = f. Determine h(u(s)).\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-6))\/((-2)\/(-6)). Let w = 13 + l. Is w > 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -72 (b) -35 (c) 4 (d) 2\/37 (e) -3 (f) -4 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqpplhhpplljp. What is prob of sequence lhh?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 12*x - 73 = 4*x + 92, -x + 24 = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((32\/112)\/((-4)\/(-14)))\/((-1)\/11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2 = 5*g + 23, 4*g = 4*s - 20. Let u be (-1 + 3)\/(s - -1). Solve -u*j = j - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 8*a**2 + 66*a**2 - 64*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 3*i - 9 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-438))\/((-33)\/(11583\/(-52))*9\/2)?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -653\/4, -0.1, 1\/9, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -17, -33, -67, -125, -213, -337?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f - 1. Let w be j(-2). Let i = -9 - -14. Is i greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1641 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -515, -2049, -4605, -8183, -12783?\nAnswer: -18405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 h when three letters picked without replacement from ayaahyayypayayya.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnnynnyhsbzbbs. Give prob of sequence byby.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2812012 > 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**7\/1260 + r**5\/60 - r**4\/6 - r. Let v(d) be the third derivative of o(d). Differentiate v(t) with respect to t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from zttgzzkkaatszzzksk.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 802 take away 1053793.4?\nAnswer: -1052991.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*t = 13, t + 44 = 5*i - 2*t. Calculate the remainder when 74 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in years?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -248 (base 12) to base 15.\nAnswer: -17e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159048.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829 is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*k - 182202 - 320984 = 0. What is the thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 3:03 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43116 is divided by 357.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 305520 plus -16832.44?\nAnswer: 288687.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**2 - 5*z - 2. Let y(p) be the second derivative of -p**4\/3 - 2*p**3\/3 - p**2 + p - 2. Determine -2*c(l) + 3*y(l).\nAnswer: -2*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(168\/(-32)))\/((-10)\/(-7))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**4\/14 - 4*r**3\/21 + r**2\/7 - 18. Factor d(s).\nAnswer: 2*s*(s - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 21. Suppose j*v - 35 = -15. Solve 4*h = u + 23 - 9, -3*h = -v*u - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 291513 = -1181385. Let d = b + 1278341. Suppose 4*y + 1218283 = -d. What is y rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 138, 211, 290, 375, 466?\nAnswer: 563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160612135?\nAnswer: 5, 79, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 564 + 200. Let o(l) = l**3 - 25*l**2 - 4*l - 35. Let x be o(25). Let u = f + x. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one twentieth of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28862 + -28834. Which is the nearest to 2\/3? (a) u (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311982, -311975, -311968, -311961, -311954, -311947?\nAnswer: -311940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**4\/4 + 7*b**3\/3 + 3*b**2 - 3*b - 1. List the prime factors of v(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 23\/(-1) - (-4 - 0). Let q(j) = j**2 + 18*j - 1. What is the smallest common multiple of 8 and q(k)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 6432.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-20) - (-32)\/5. Suppose 21 - t = -5*i. Let h be (i - 0 - 0) + (1 - -3). What is the nearest to h in -1\/8, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 24*t = 5. Let o(c) = 3*c. Let b be o(-1). Put b, 2, t in descending order.\nAnswer: t, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.2 - 3. Let d = -433 + 433. Let h be 2\/(-7)*5 + 1. What is the nearest to d in h, r, 0.8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 6\/4)\/(6\/(-24)). Suppose y*n - 2*d - 17 - 51 = 0, d - 136 = -4*n. Calculate the remainder when 65 is divided by n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1911816, -3823310, -5734804, -7646298?\n\"Answer: -1911494*m - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5721534?\nAnswer: 2, 3, 7, 13, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*r + 29*r = 7*r + 378 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 291362068, 582724134, 874086200, 1165448266, 1456810332, 1748172398?\n\"Answer: 291362066*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 41 = -2*g + 3*g, 2*d = -3*g + 83. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27774*f + 4018416 = 713310 for f.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s + 8*s + 4*s + 4*s. Let t(y) = -56*y + 42. Let b(q) = 11*q - 8. Let x(p) = -21*b(p) - 4*t(p). Give 6*h(d) + 7*x(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 36*g - 123. What is d(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7510361707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*t = -9*k + 91, 5*t - 15 = 0. Calculate the lowest common multiple of k and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581 + 275 = -15*v - 19*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000137255 rounded to 7 decimal places?\nAnswer: -0.0001373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4039 and -6261.\nAnswer: -6260.5961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*d - 183, 99 = d + 5*p - 2*p. Let o = 44 - 23. What is the greatest common factor of o and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38 + 3?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 3*z - 15. What is the tens digit of k(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5270966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 85 = k. Calculate the remainder when 46 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 32 = 192. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1099 = -304*y + 311*y. Let f be 30\/(-70) - y\/7. What is the greatest common factor of 286 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1868 and 34520.\nAnswer: 16120840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 4, 4\/9, 0.3, 2\/807?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118a (base 13) to base 4.\nAnswer: 212300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1 (b) 2\/7 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*x + 2. Let d(v) = -4*v. Let o be d(-2). Suppose -y + o = 3*y. Calculate the smallest common multiple of y and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*k + 5*k + 2*k**2)*(-2 + 0 - 4) to the form l + n*k + y*k**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from vcwvaavayy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 65422008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12164985 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f**2 + 261*f + 257. Let x be u(-1). Solve 2\/9*q**x + 100\/9*q + 1250\/9 = 0 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2107 divide 15230608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/9*d**3 + 130\/9*d - 28 + 124\/9*d**2 = 0. Calculate d.\nAnswer: -2, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 0*d + 4*d)*(-82*d - 101*d - 42*d) in the form a*d + m*d**2 + b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56202 and 2907?\nAnswer: 168606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*b + 11*b**3 + 285*b + 286*b + 283*b - 818*b.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 - -782\/13. Sort -1.8, 2\/9, w, -3\/2 in decreasing order.\nAnswer: 2\/9, w, -3\/2, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -2 - (-2 - 15 - -16) - -39?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -580939068 divided by -3.\nAnswer: 193646356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, t: 1, x: 2, s: 2}. Give prob of picking 1 y and 2 x.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10710.3864 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, p: 2, s: 2, h: 1, o: 1, k: 6}. Give prob of sequence os.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37402 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4403, 8403, 15071, 24407, 36411?\nAnswer: 51083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - d**2 + d**2 + (0*d - d + 0*d)*(-4 + 2*d + 4) + 0*d**2 - 2*d**2 + d**2)*((11*d - 4 + 4)*(4 - 2*d - 4) + 3*d**2 - 4*d**2 + 0*d**2).\nAnswer: 46*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 9*i**2 + 4*i - 84. Let v be r(6). What is the highest common factor of v and 1216?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*a + 20 = 3*s, 4*s - 22 = a. Suppose -s*r + 87 = -183. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 1, m - j + 49 = 52 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 78 - 57 + 213 - 78.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 5*z - 3. Suppose c + 0*c + 2 = 0. Let q = c - 0. Let y be u(q). Sort y, 0, 1 in descending order.\nAnswer: y, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25536816 less than -25536816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**2\/9 + 775688*t\/9 + 775690\/9 = 0.\nAnswer: -1, 387845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -16. Let g be (-1)\/(1\/b*-3). What is the third derivative of -g*d**2 - 10*d**3 + 2*d + 0*d**3 - 2*d wrt d?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -34603032?\nAnswer: -34603033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -4. Suppose -w + r = -0. What is the third derivative of -y**2 + 6*y**w - y**6 + 5*y**6 + y**6 wrt y?\nAnswer: 600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -343829161 by 89843.\nAnswer: -3827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-3) + -1 + 10. Suppose -5*d + 45 = 5*o, -3*d + 4 = -o - q. Suppose -x = 2*u + u - 2, 4*x + 5*u = 8. Sort -5, x, o in descending order.\nAnswer: o, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-29)\/x)\/x*x)\/x**(-3))\/(x\/(x**(-12)*x))**(-4))**(5\/6) assuming x is positive.\nAnswer: x**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/2 - 7*w - 8.\nAnswer: -(w + 2)*(3*w + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -18363.674733242?\nAnswer: 18366.674733242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 73613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1, -2\/9, 4, -3 in descending order.\nAnswer: 4, 1, 2\/9, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 5*c - 9. Let s(y) = -y**2 - 2*y + 5. Let t(u) = u**3 + 85*u**2 + 165*u - 76. Let n be t(-83). Determine n*s(f) + 4*o(f).\nAnswer: f**2 + 6*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*y**5 - 86*y**2 + 2275*y - 3?\nAnswer: -120*y**3 - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.809757ns to microseconds.\nAnswer: 0.002809757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 - l**2 - 3*l + 3. Is o(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -174, -179, -180, -177, -170, -159, -144?\n\"Answer: 2*r**2 - 11*r - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 14, n: 5}. Give prob of picking 3 w.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-623)\/89)\/(((-44)\/19)\/(-4)))\/(1\/(-11)).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -1)*(35 - 4). Suppose -3*q = -2*u + t, q + 0*q = u - 14. Is 9 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7287 != 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 - -43) + -8 + 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.119 - 0.263. Let b = 13.756 - f. Round b to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 4 - (7 + -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 - 8.6. Let f = q - -9. What is the nearest to f in 2, -3, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21202 + 2002200?\nAnswer: 1210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4\/7 - 4*i**3\/7 - 92*i**2\/7 - 156*i\/7 - 72\/7.\nAnswer: 4*(i - 6)*(i + 1)**2*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2082795198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**6\/90 - 19*a**5\/60 - 16*a**4\/9 - 10*a**3\/3 + 3*a - 643. Factor b(o).\nAnswer: -o*(o + 2)**2*(o + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 879639904 to the nearest integer?\nAnswer: 29659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/6 + 2\/3. Suppose 4 = -0*j + 4*j. Suppose 0 = -1252*s + 1240*s - 12. Which is the closest to 0.2? (a) j (b) s (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/70*(3 + -2). Let y(l) be the first derivative of -2 + 0*l**2 + 0*l - 2\/15*l**3 + h*l**4. Solve y(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + -0.1. Let v = 40 - 20. Suppose v = 2*n + 3*n. Sort r, 1\/2, n in descending order.\nAnswer: n, 1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -12.8. Which is the closest to d? (a) -2\/5 (b) -2 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 541875\/4046 + 1 + (-13)\/14?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1796*l**4 + 5*l**3 - 5*l**2 - 6*l + 384. Let g(w) = -w**3 + w**2 + w. Let c(y) = f(y) + 5*g(y). Find the second derivative of c(h) wrt h.\nAnswer: -21552*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5874, -5881, -5890, -5901, -5914?\nAnswer: -5929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 19. What is the third derivative of -7*d**2 - w*d**3 + 31*d**3 + 48*d**3 - 3*d**2 + 1 wrt d?\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20591823 or 20591824?\nAnswer: 20591824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -9.6 and -14\/1149 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 7*a - 12*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3947096309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1544 - 259 - 14955)*(2*w + w - w) to x + u*w and give u.\nAnswer: -33516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 404608 and 62784.\nAnswer: 3641472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + -4 + (sqrt(3) - sqrt(3)*-1) + sqrt(24)\/(-4*sqrt(48)\/sqrt(6)))*1 + -4.\nAnswer: -25 + 21*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4406448.6 to the nearest 100000.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4407\/88 - 405\/8. Suppose -14 = 3*v + 4*k, 3*v + 0*k + 8 = -k. Which is smaller: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3))**46*u**(4\/7)*u**7*((u*u*u**(1\/4)*u)**46)**(3\/31) assuming u is positive.\nAnswer: u**(-11233\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 11:59 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 - (3 - -4) - 2. Let t = 2\/77 - 46\/77. What is the closest to m in -4, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 30. Let l(v) = -v**3 + 8*v**2 - 8*v + 8. Let h be l(6). Let w = h + r. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = f - 9, -4*f - 1 = -2*p - 7. Let j be (2\/f)\/((-18)\/(-162)). Calculate the greatest common factor of j and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1121?\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -8*c**2 + 13*c + 29967. List the prime factors of h(0).\nAnswer: 3, 7, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -42*r + 23*r + 17*r. Let s(m) = -20*m**2 - 24*m + 24. Let l(n) = 4*n**2 + 5*n - 5. Let w(k) = 24*l(k) + 5*s(k). Give w(y(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 23 - 22)*(6*t - 7*t**2 - 6*t) in the form x*t + q + b*t**2 and give b.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.2778 and -1.2?\nAnswer: 0.0778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 357 + -341. What is the greatest common factor of 168 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4838 - 106463\/22. Suppose -3*m - 171 = -3*w, -2*w + 6*m - 2*m + 114 = 0. Calculate the common denominator of -2 + (w\/36 - 1) and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 79459.6751.\nAnswer: 79459.3751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvvuuvuvuvvvu. What is prob of picking 2 v and 2 u?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z + 5*l = 57196, 3*z - 2*l - 171571 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2008 * -44982.\nAnswer: -90323856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 911230.0482729 + -911230. Let q = -0.0483 + v. Round q to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43 and 422.\nAnswer: 18146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, c: 1}. Give prob of picking 1 c and 1 x.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 - 1482 = -55*n for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + 0. Let r = 81 - 75. What is the least common multiple of r and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.02966, 1\/3, -1\/2, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 135*h**2 - 124*h**2 - 3.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 1941 = -1623. Let k(p) = -2*p**3 - 4*p**2 - 10*p + 12. Let o be k(-5). What is the highest common divisor of o and c?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 808 = -13*w + 5*w. Let m = w + 546. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17483\/14 or 1250?\nAnswer: 1250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9109545, -9109548, -9109553, -9109560, -9109569, -9109580, -9109593?\n\"Answer: -o**2 - 9109544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68857062?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 3:14 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 3617408389276 and -0.2.\nAnswer: 3617408389275.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2330.9527 - 2331. Round c to three dps.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w + 15. Let p be f(-3). Suppose -3*l = p, 3*j - 4*l - 2806 = j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4390 and 24.\nAnswer: 52680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - 6*3*sqrt(104)) + sqrt(104) - sqrt(104))\/(sqrt(8) - -4*sqrt(8)*2).\nAnswer: -17*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 1 - 0. Let g(b) = b. Let v(d) = -d**3 - d**2 + 7*d - 4. Let c(a) = z*v(a) + 6*g(a). Let h be 1 + (1*-2 - -1). Determine c(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 + -64. Let m(r) be the first derivative of -1\/2*r**6 - 2 + 0*r**4 + z*r**5 + r**3 + 0*r + 0*r**2. What is the third derivative of m(j) wrt j?\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*w - 2*p + 448 = 0, 0 = 2*w - 29189*p + 29188*p - 16 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 2, 1, 1\/9 in descending order.\nAnswer: 2, 1, 1\/8, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 90 + 3*i - 46.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*c - 39*c - 88. Find the common denominator of 89\/30 and -8 + (-1336)\/(-90) + c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 7 = -3*u, i + 3 = 2*u - 0. Let g = u + 7. What is the lowest common multiple of 38 and g?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -b - 145. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -16*j. Let y be l(-3). Let o be ((-4 - -6) + 3)*(-16)\/5. Let c = o + y. What is the greatest common divisor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**4 - 60*n**3 = 0. What is n?\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42 + -3?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 3*c - 5*f, -5362*c = -5366*c - 5*f - 16 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjjjjjjjjjyjjjjjj.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/3920*1061 + (-369)\/(-615) and -37\/560.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65469?\nAnswer: 3, 139, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15737, 15735, 15731, 15725, 15717?\nAnswer: 15707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by 10.\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009821708 to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -96*x + 46*x + 450. Solve -5*w + 11 + x = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 2*n. Let v(k) = -k**3 + 5*k**2 - 10*k. Let g(x) = -6*h(x) + v(x). Let z = 8 + -15. What is g(z)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -291 + 303.3. Let m = l + -12. Suppose 13 = -7*t - 22. Which is the third smallest value? (a) 4 (b) t (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - j**2 + (-6*j + j + 2*j)*(-2*j - 2*j + 6*j) + 17*j - 13*j**2 - 17*j + 7*j**2 + 0*j**2 + 3*j**2.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from rxxrxxxxxxxxrxxxxrx?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((2\/(-6))\/(42\/(-63)))*1. Sort -4, -3, 5, x, 3 in increasing order.\nAnswer: -4, -3, x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-606)\/90)*50 + 3\/9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*c - 27 - 1 = 0, 0 = -p - 2*c + 22. Find the first derivative of -26 + 9*z + p*z - 12*z wrt z.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 259 = -3*m. List the prime factors of m.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b. What is the remainder when v(7) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6757 times 4759?\nAnswer: -32156563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -949 + 1399. Suppose 4*p + 1680 = 4*v - 0*p, -v + t = 5*p. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3847, -7715, -11583, -15451?\nAnswer: -19319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -163\/2 (b) 0 (c) 0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*y + 24 = -170*y. Suppose -6 - 30 = -y*d. Solve -d*w - 18 = 2*o, 2*w + 2*w = -4*o - 28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 100.0194 - 0.0194. Let n = v - 99.7. Which is the closest to -2? (a) -0.4 (b) -2.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -5 + (6 + 12 + -7 - 26).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/16020 and -37\/1861524.\nAnswer: 9307620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362 = 19*g - 151. Let q be -7 - g\/(-6)*2. Is q at most 9\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - -2 - (-10 + 3) - 1. Solve -4*d - 1 = j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -789.927 and 12.975794.\nAnswer: -776.951206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -55, -7, -2?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 16*z**2 + 10*z - 17. Let v be o(-15). What is v rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 755466590?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/10*(-248)\/(-9858)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.2997, 14\/13, 2, -3\/4.\nAnswer: -3\/4, -0.2997, 0.5, 14\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5730*n - 5883*n = 2153 + 2743 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 258 = 3*m. What is the hundreds digit of ((-5)\/(-3) - 3\/18)*m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -239109859*v - 197828282 wrt v.\nAnswer: -239109859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - -24 - ((1 - 1) + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 333402157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 415*h. Let c(o) = -8187*o. Determine c(k(g)).\nAnswer: -3397605*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -721798 or -721799?\nAnswer: -721799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82*h**2 + 490 - 2*h - 31*h**2 + 270*h**3 + 2*h + 112*h**2 wrt h.\nAnswer: 810*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -36, -73, -122, -189, -280?\n\"Answer: -z**3 - 30*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2068*h = 2160 + 6112 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15 + -17 + -1 + 2. Let v be 0\/(2 + -1) + p + 2. Which is bigger: -14\/29 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 11*f - 10*f. Let o(k) = -k + 10. Calculate the remainder when f is divided by o(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5\/3 + 634*h**3\/3 + 1024*h**2 + 4840*h\/3 + 800 = 0. What is h?\nAnswer: -15, -2, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + z**2 - z. Suppose 0 = 2*x + 3*x. Let a be p(x). Suppose 0*o + 3*o + 5*n + 4 = 0, 3*n + 12 = 3*o. Sort a, 4, o in increasing order.\nAnswer: a, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 4*f - 20. Let j = -14 - -29. Is d(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137.1 + -137. Let l = -1 - -12. Which is the third biggest value? (a) i (b) l (c) -0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 372 - 2220 = 0. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.89569 to two dps.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -1, -3, -3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**6\/120 - g**5\/20 - 2*g**3\/3 + 3*g**2\/2 + 2*g. Let j(d) be the first derivative of c(d). Determine j(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63707 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7462, -37, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 12. Let q be 0 - 1\/(((-15)\/6)\/5). Suppose 3*h - q = -5*v, -h + 2*v = h - 12. Solve k = h*i, -4*k - 5*i + n = -10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44.919 - 0.081. Let x = c + 45.41. Round x to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4216860377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 569 + -566. Solve -10 + 7 = -s*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3 - 0. Suppose -4*k + 15 = -i*l - 6*k, 0 = 4*l - 5*k - 3. What is the units digit of 36\/27 - 8\/l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 12*x**2 - 19*x - 46. Let o be c(-12). Suppose 10*n - 212 = -o. Solve 4*v - n = 3*d, -2*d + 2*v + 1 = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5823 or -0.1?\nAnswer: -5823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -5 (c) -362 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 1:44 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -0.7. Suppose -s + 4 = 3*s + 4*o, -2*s - o + 6 = 0. Let i = -0.14 + -0.06. Which is the biggest value? (a) s (b) t (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -90, -126, -184, -276, -414, -610, -876, -1224?\n\"Answer: -2*q**3 + q**2 - 25*q - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29388, -29524, -29658, -29790, -29920?\nAnswer: -30048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 = -2*b - 3*b, 5*z = 3*b - 47. Is 2\/z + 30\/7 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.41 - -669.713.\nAnswer: 659.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*b**2*j + 11*a*b**2 - 2*a*b*j - 60*a*j - b**2 - 2 wrt j?\nAnswer: a*b**2 - 2*a*b - 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -0*p - 4460. Is ((-6)\/12)\/(2\/p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n + 6*n + 7*n + (-2 + 6 + 9)*(27*n - 5*n - 54*n).\nAnswer: -407*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x**2 - 5981*x + 90616. Give y(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 144*o - 2*o + 146*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 2*z - 5. Let a = -71 - -39. Let m = -37 - a. Let v(f) = f**2 + 0*f - 3*f - 4 - 7 + 2. Calculate m*b(j) + 3*v(j).\nAnswer: -2*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + -19 + (-32 + 33 - 42)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 3*b. Suppose h + 2*h - 4*d = 31, b = -5*d + 25. Calculate the remainder when 33 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134635\/3 or -44877?\nAnswer: -134635\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**4\/24 - s**3\/3 + s**2 + 11. Let j(f) be the second derivative of x(f). What is j(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1427 is divided by 59.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 6*z - 106951, -z - 21391 = -j - 3*z. Round j to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 9) to base 12\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -114*i*t**2*y**2 - i*t**2*y + i*y + 6*y**2 + 5 wrt t.\nAnswer: -228*i*t*y**2 - 2*i*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001111110011 - -10110110100?\nAnswer: -111000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a milligram in micrograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5 + 155908*i**4 + 3037009358*i**3 - 54719969804*i**2 - 63830218360*i + 115513022896 = 0 for i.\nAnswer: -38986, -2, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8334 and 12?\nAnswer: 16668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6644753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 28. Suppose j = -2*q + 2, -15*q + 14*q + 45656 = 5*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3708)\/(-3090))\/(3\/20)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 9340*h - 4361780.\nAnswer: -5*(h + 934)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*w - 9, -2*w - 18 = -2*u - 2*u. Let z(y) = -y**2 - 5*y - 4. Let c(d) = -2*d + 0*d + 2*d + d. Let f(p) = -2*c(p) - z(p). Determine f(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 1440786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13657 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p**3 + 6*p**2 - 2*p - 4. What is the lowest common multiple of 128 and m(2)?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20841779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (sqrt(110)*6*4)\/sqrt(10)).\nAnswer: -96*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((1*sqrt(1584) - (sqrt(176) + 1 + sqrt(176)) - (-1 + (sqrt(891) - (-1 + sqrt(891))*-4)))*4)**2.\nAnswer: -5248*sqrt(11) + 296111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 a, and 2 p when four letters picked without replacement from {h: 9, a: 1, d: 2, p: 4}?\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + 1. Calculate the lowest common multiple of (-10)\/(-3)*54\/15 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2 - 4, m + 5*o = 13. Suppose -13*d - m = -16*d. Solve -2*l + 2*b - 20 = d*b, 16 = -4*b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -11, -5, 15, 55, 121, 219?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 - -303?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 177857178 to the power of 1\/3, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**3\/6 - 3*t**2\/2 - 11*t. Let p(y) be the third derivative of -y**4\/12 + 5*y**3\/6 - y**2. Give 10*h(r) + 6*p(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.54743 rounded to two decimal places?\nAnswer: 29.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5, -3, -15, -31, -51, -75, -103?\n\"Answer: -2*t**2 - 2*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347*u - 336*u - 29502 = 0. Calculate the greatest common factor of u and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1533 is divided by 509?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*-9*10\/(-135). Suppose -3*i = 3*g - 1671, y*g - 5*i = 6*g - 1108. Calculate the remainder when g is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -66*d + 71*d + 150, 66 = 3*l + 4*d. What is the greatest common factor of l and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6906 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(-2508)*6)\/(3\/36)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -3*i**5\/20 + 3*i**4\/4 + i**3\/2 - 9*i**2\/2 + 6*i - 1. Let v(o) be the first derivative of n(o). Let v(r) = 0. What is r?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/9 - 1\/9. Let c(f) = f**3 + 11*f**2 - 11*f + 10. Let y be c(-12). Let d be (-81)\/(-63) - (-2)\/y. Sort d, 1, v in increasing order.\nAnswer: v, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**5 + 4*x**4 + 4*x**3 - 2*x**2 - 5*x - 2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-166*d**3 - 122*d**3 - 82*d**3)*(1 - 3*d - 1) to the form g*d**2 + j*d + n*d**3 + b + f*d**4 and give f.\nAnswer: 1110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141.88*-0.2.\nAnswer: -28.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 2:38 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 38*k**2 - 38*k - 31. Let u be f(-37). Calculate the greatest common factor of u and 375.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -0.8. Let u be ((-10)\/9 - (-312)\/(-108))\/(0 + 14). Put -0.1, u, l, -2 in descending order.\nAnswer: -0.1, u, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 19 + 3 = -4*a, 3*a + 10 = k. Sort 0.2, 1, a, 0.\nAnswer: a, 0, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/16)\/((2*-1)\/8). Let s(d) = d**2 - 16. Let t be s(i). Let r be 0\/(-3) - (t - 1)\/3. Which is the nearest to 2? (a) 5 (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/15 and 43\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/9 (b) 7\/4 (c) 3\/7 (d) 2 (e) 0.4 (f) 76 (g) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 212899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*c*s**2*x + 2*c*s**2 + c*s*u*x - 41*c*s + 39*s**2*u*x + 9*s*u*x wrt s?\nAnswer: -38*c*x + 4*c + 78*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/416?\nAnswer: 1\/416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/1435060?\nAnswer: 9\/1435060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, z: 5, b: 3, w: 3}. What is prob of sequence yw?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (0 + -3 + 2). Let h(r) = r + 1. Let l be h(z). Solve 0*i = -i - 2*p + 1, -l*p = -4*i - 22 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7437 and -0.02.\nAnswer: 0.014874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 414 and 85608?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 - 126*g + g**4 - 63 + 0*g**4 + 65 in the form b + t*g**3 + k*g**2 + d*g + n*g**4 and give d.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 208626 divided by -29?\nAnswer: -7194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 divided by -105?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 98340 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 + 7*h + 7. Let r be p(10). Let k = r + -4310\/9. Calculate the common denominator of k and -62\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 779 and 308976?\nAnswer: 5870544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(-1 - 0\/1). Let z(n) = -2*n + 3 + n**2 - c + 3*n. Let a be z(-3). Solve k = -a, -13 = 5*f - 0*k - 3*k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (265\/50 + -6)*-28. Is 20 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 5549740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 1. Let l be q(-7). Suppose 0 = 2*r + n + n - 158, -2*r = n - 159. Suppose 0 = l*k - 2*k - r. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 30. Let s(v) = 1 - 2*v**2 + 6*v**2 + 3*v**c - 1 - 2. Let r(o) = -7*o**3 - 9*o**2 + 5. Calculate 2*r(p) + 5*s(p).\nAnswer: p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/40 + 4\/10 - (-8 + -51815) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 7. What are the prime factors of 13 - r*(-6)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14478 - 14473. Solve 3*a - 3 = 2*t, -2*a - f*t = -4*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 + -62. What is the tens digit of (q\/3)\/((-4)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 6*z**2 - 11*z + 40. Let g be d(-8). Is g < 39\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41093.2 times -1?\nAnswer: 41093.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6*-2*(-5)\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 243018*l**3 - 63*l**2 - 3007*l + 2.\nAnswer: 1458108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9*(6\/9)\/1. Let a(j) be the third derivative of -j**6\/120 + j**5\/10 - j**4\/24 + j**3\/6 - 5*j**2. Calculate a(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/252*2*(-39)\/325?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194324579?\nAnswer: 1427, 136177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 30*j**2.\nAnswer: -3*j**2*(j - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -17 + 4 + 5 + -11 - 8.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**6 + 76409*v**4 + 17*v**2 - v - 4167?\nAnswer: -240*v**3 + 1833816*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)*n)**(-13)\/(n*n**1)**(-39))\/((n\/n**(2\/5)*n*n)**(-4\/21)*(n\/((n*(((((n**(-1)\/n)\/n)\/n)\/n)\/n)\/n)\/n))**(-2\/7)) assuming n is positive.\nAnswer: n**(8482\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26465753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and 4296?\nAnswer: 55848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14414?\nAnswer: 2, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 68\/(-10) + -1 - (23 + 65 - 96). What is the third smallest value in -34.06, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605109 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 7. Calculate the lowest common multiple of p and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -1\/4 (c) -0.0467 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/7 < 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2931 + -2930.7. Let x = 0.57 + 23.43. Which is bigger: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-5) - (-4)\/(-10). Let c = r - -2. Suppose -4*y - c*a = -190, 3*y + 45 = 4*y - 2*a. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-333)\/(-3421) - (-5500)\/(-855250)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -10. Let p(c) = -4*c + z + 8*c + c. Let y be p(1). Solve 0 = -y*x + x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 - 55. Find the third derivative of -11*o**4 - 7*o**2 - 6*o**4 + 4*o**y wrt o.\nAnswer: -312*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 98 = 44 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1434 - 1430. Solve -3*s + 8*c - 3*c + 7 = 0, -2*s - r = c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 19*r**2 + 2*r - 69*r**2 + 27*r**2 + 2 + 27*r**2. Let m(j) = 39*j**2 + 21*j + 21. What is 21*g(y) - 2*m(y)?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 6*k**2 + 4*k - 20. Let m be o(-7). Put -5, m, -4, -2 in ascending order.\nAnswer: -5, -4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-333*t**2 + 174*t**2 - 2*t + 171*t**2 - 15)*(-4*t**3 + t**3 - t**3) + (-t + 0 + 0)*(-2*t**4 + 4*t - 4*t) + 2*t**5 + 2*t**5 - 3*t**5.\nAnswer: -45*t**5 + 8*t**4 + 60*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from tzuzzfusutz?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 114 = 449. Let h = u + 71. Let b be ((-2)\/6)\/((-17)\/612). Calculate the greatest common factor of b and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 11. Suppose r*x = -2*l - l + 3, 0 = -l + x + 5. Find the second derivative of -6*j**l + 5*j**3 - 6*j + 4*j**3 wrt j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5447 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 1 + 416*w + 7 + 14 to the form s*w + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186, -378, -570?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21134101 - -4?\nAnswer: 21134110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/8 - 1\/4. Let h = y - -6. Solve h*p + 4 = 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/40 + (-42)\/(-120).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(7*u - 26*u - 102 + 100).\nAnswer: 38*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25662 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -7*o + 11*o + 3*h - 6*h, 55*o + 5*h = -280 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -793*t - 47. Suppose -85*c = -83*c - 158. Let n = c - 85. Is o(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g - 14. Let z be q(6). Suppose -3*h + z*h - 113 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (70\/15)\/(-14)*-1170 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**3 + l**2 + l + 2. Let o be d(-2). Suppose o = n + n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 7*p**2 + 7*p + 7. Let z be k(-6). Let g = 0.1 + 0.02. Let f = g + -0.22. Which is the closest to f? (a) z (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + (7 - 12) + -2. Suppose c = l - 4 - 2. Solve -l*b = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2161779 to the power of 1\/2, to the nearest integer?\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t = 2467 - 2346 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 139 or 5\/4?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n**5 - 3*n**3 - 16*n + 3. Let a(g) = -8*g**5 - 4*g**3 - 17*g + 4. Let w(y) = 3*a(y) - 4*d(y). What is the second derivative of w(b) wrt b?\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018112214 rounded to six dps?\nAnswer: -0.001811","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o - 4 = 0, 4*p - 4*o + 28 = 0. Let y = 15 + p. Suppose 143 = y*h - 33. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 25 = -23. Let y(g) = g**2 - 3*g. What is y(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*z - 603*z + 206*z + 178*z - 148*z.\nAnswer: -536*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-68)\/(-119))\/(12\/3486))\/6)\/((-2)\/(-6))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(((-12)\/(-57))\/(-4)). Is v smaller than 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(11)*1)**2 + -4 + 5 + ((sqrt(396) + 2)*2 - sqrt(396)).\nAnswer: 16 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16486 (base 12) to base 16\nAnswer: 7c26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 313*i**2 + 17*i - 1. Let c(r) = 2*r. Determine v(c(q)).\nAnswer: 1252*q**2 + 34*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188512442?\nAnswer: 2, 94256221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47517 = -4*l - x, -l - 13*x + 11883 = -14*x. Is 88 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27725871263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2169*z + 6517. What is s(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 157.78, -67 in ascending order.\nAnswer: -67, 11, 157.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o*u**5 + 382*o*u**4 - o*u**2 - 2*o*u - 451*u wrt u?\nAnswer: -180*o*u**2 + 9168*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.668 + 3.568. Let j = t + -3.446. What is j rounded to 2 decimal places?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/7763 and 21\/400?\nAnswer: 3105200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/((-1105)\/1326)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 786549147 to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.41379694 to four decimal places.\nAnswer: -0.4138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4.1. Let i = -7.7 + -0.3. Let z = -9 - i. Which is the closest to s? (a) -2\/5 (b) z (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69.98 * -0.05.\nAnswer: 3.499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flfffzzll. Give prob of picking 2 l.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 4519*b**6\/6 - 989*b**3\/3 + b**2 - 2*b - 204. What is the third derivative of p(c) wrt c?\nAnswer: 271140*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4521 and 1096.\nAnswer: 36168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**3 + 2*s**2 + s. Suppose 4*c + 0*c + r + 32 = 0, -3*c - 4*r = 37. Let j(x) = 13*x**3 + 7*x**2 + 4*x - 1. Determine c*l(v) + 2*j(v).\nAnswer: -2*v**3 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -89c8 (base 13) in base 10?\nAnswer: -19261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*-1 + 362\/186. Let u = 863\/93 - v. Determine b so that 17\/3*b - 15*b**5 + 16*b**4 - 2\/3 + u*b**3 - 46\/3*b**2 = 0.\nAnswer: -1, 1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -803?\nAnswer: -803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 9. Suppose 40 = a*p - 4*q, -2*p + 4*q + 5 = -23. Suppose -p*g = g - 90. What is the remainder when 52 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 16 + 10*j)*(3 + 1 - 3)*(-1 + 2 - 2) + (-1 - 1 + 0)*(-2 + 2 + 2*j).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -416, -1613, -3576, -6299, -9776, -14001, -18968, -24671?\nAnswer: -31104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44.5 and -1.1.\nAnswer: 48.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) -0.1 (b) 0.1 (c) -136 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -48206 (base 15) in base 8?\nAnswer: -701104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211222 - 2002212100?\nAnswer: -2011201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108841607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k**2. Let i(g) = -20*g. Calculate w(i(s)).\nAnswer: 2000*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9320289981.\nAnswer: 3, 1423, 2183249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001010 - -11100001010101101001?\nAnswer: 11100001010111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34092, 34079, 34068, 34059, 34052, 34047?\n\"Answer: o**2 - 16*o + 34107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 375293 and 26182.\nAnswer: 185394742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.593 + -26.107. Let c = g + 26.69778. Round c to four decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 5:19 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w + 8*w + 0*w. Let y(s) = 4*s**2. What is y(u(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 + (-14 - -158) + (1 - -1 - 0) + -1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {q: 5, v: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**5\/2 - 14719*f**4\/4 - 1592501*f**3\/4 - 11514131*f**2\/4 + 15587031*f\/4 + 3987765\/2 = 0. Calculate f.\nAnswer: -1355, -109, -9, -2\/5, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 345 = 208. Suppose 3*c = 5*u - h + 29, 0 = 2*u - c - 20. Is 17\/2 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 20 = -88. Differentiate 20*p**2 + 6 + r*p**2 + 15*p**2 - 39*p**2 with respect to p.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 8 + 5 + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 + 1 - 13*n - 15*n + 26*n + n**2. What is the remainder when b(3) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*k**2\/3 + 4*k + 4\/3.\nAnswer: -4*(k - 1)*(4*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 3*i - 14. Give z(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124 + -122.49. Let r = k - 0.01. Let u = r - 1.3. What is the third biggest value in -3, u, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 10*i**2 + 8*i. Let j be m(-9). Let k = 15 + j. Calculate the remainder when k is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 1. Let r(x) be the first derivative of 5*x**2\/2 - 3*x + 1. Let f(y) = 4*o(y) - r(y). Let b be 8 - 592\/72 - 29\/(-9). Give f(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**6\/30 - 7*g**5\/40 - 3*g**4\/8 - 5*g**3\/12 - g**2\/4 - 6*g. Let j(r) = 0. What is r?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*(sqrt(1331) + 0) - (-4 + (1 + sqrt(539))**2)*-5.\nAnswer: 92*sqrt(11) + 2684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*j + 8*j + 111*j**2 + 73*j + 15*j wrt j?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69293 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 8 = -2*o, -2*o + 3 = -3*y - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 3146\/77 - 1\/(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31597 or -31587?\nAnswer: -31597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675*n**2 + 505*n**2 + 1339*n**2 - 1225*n**2.\nAnswer: 1294*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 36. Let t = 76 - 66. What is the smallest common multiple of t and f?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**5\/30 + n**4\/3 + 4*n**3\/3 - 34*n**2. Factor j(m).\nAnswer: 2*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2057 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from iyaxy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (39\/(-52))\/(1\/(-4)). Let p(d) = 5*d**2 - 4*d + 3. Let f(a) = -a**2 + a - 1. What is b*f(o) + p(o)?\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 828252 - 0.0335\nAnswer: 828251.9665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 + g**4 - 2*g**4 + (-1 + 2*g + 1)*(-3*g**3 + 5*g**3 - 4*g**3).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-42)\/15 + 3\/1. Let p be -2*((-1)\/1)\/1. Suppose p*t - 2*r = -0*t + 10, 0 = 4*t + 3*r + 8. What is the second smallest value in 0, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 108\/594 - (-184)\/198. What is s in -8\/9*s**2 - 2\/9*s**3 - c*s - 4\/9 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*n + 3*n + 36, 5*i = -3*n + 178. Calculate the smallest common multiple of i and 265.\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 55*x**2 - 57*x - 59. What is l(-56)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*g - 3*c, 0 = -3*g - 3*c - c - 5. Let i be 3\/g + (4 - 2). Let s be (1 + 0)\/(1\/3). Calculate the greatest common divisor of i and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.33 + 0.07. Put m, -1\/6, -0.1 in descending order.\nAnswer: m, -0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*(sqrt(187) + (sqrt(187) - -5*(sqrt(187) - (sqrt(187) + sqrt(187)*-1 + sqrt(187))))))\/(-3*1*sqrt(44)\/sqrt(4)*-4)*-1.\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -702*j - 2106. Let x be w(-3). Factor -2\/9*l**5 + 0*l**2 - 50\/9*l**3 + 0 + x*l + 20\/9*l**4.\nAnswer: -2*l**3*(l - 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 13*h**2 + h + 18. Let q be s(-13). Suppose -4*g + 18 = -y + q, 5*y + 2*g + 131 = 0. Is 25 a factor of 6\/9 - y\/15*107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24363238 a multiple of 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/30 + 123\/18. Let i(t) = 76*t**2 - 13*t + 6. Is i(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 2:28 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 - ((-8)\/36)\/((-32)\/(-321)) and 85\/42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*o - 76. Suppose 2*l - 21 = o. Solve 5*v = p - 26, 6 = 4*v + 2*p + l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2248\/21356)\/((-246)\/(-38))?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 13) to base 8\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1110 + 1137. Calculate the highest common divisor of o and 783.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -725, -1600, -2815, -4370, -6265, -8500?\nAnswer: -11075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6638 is divided by 1629?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -13.7, -396?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 378337\/20 + -18922. Let p = 5\/177 + 1897\/1770. What is the common denominator of a and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -360, -723, -1090, -1461?\nAnswer: -1836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12570 + 18?\nAnswer: -12554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/21*21*3\/(-3). Suppose -o*r = -6788 - 1178. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/(-20))\/(4 + (-338)\/85). Let q = 178 - 110. Calculate the highest common divisor of y and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -447840*c**2 + 2*c - 2*c + 1071004*c**2.\nAnswer: 623164*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 1042*o**6\/15 + 1273*o**2\/2 - 435*o. What is the first derivative of q(l) wrt l?\nAnswer: 8336*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 23*f + 22. Let g be m(22). Factor 0 + g*r - 2\/11*r**3 - 2\/11*r**2.\nAnswer: -2*r**2*(r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259.0892 litres in millilitres?\nAnswer: 259089.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3570 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkpkpwkwwppppwpp?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -14, -0.1, -3\/5, -298, -33?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, r: 3, d: 4}. What is prob of picking 1 r and 2 d?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(704))\/((sqrt(44) + sqrt(176)\/sqrt(4))\/sqrt(11)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2018 + -1955. Calculate the remainder when 1368 is divided by y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 2*q**2 - 3. Let y be o(0). Let h be -29*-1*(-1 - y - 1). Suppose 389 = 10*j + h. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from {o: 1, i: 1, l: 1, r: 1, z: 1, p: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - 0. Let c be (-200)\/14 - 8\/(-28). Let m be 14\/8*(-6)\/c. What is the biggest value in 4, m, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, z: 3, i: 4}. What is prob of picking 1 i and 2 z?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wndzj. Give prob of picking 1 d and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p. Suppose -3*j - i - 3*i + 7272 = p, -2*i + 12134 = 5*j. Let m = j - 1695. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 450, 3776, 12910, 30756, 60218, 104200?\n\"Answer: 484*s**3 - 62*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*c + 662 = c, -662 = -2*t - 3*c. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*d - 530279, -6*h = -h + 5*d - 883785. Let k = 107953 - h. What is k rounded to the nearest 1000?\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 1. Let s(u) = -u**3 - 11*u**2 + 16*u - 23. List the prime factors of s(l).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h + 36*h = -l + 46, -3*h + 42 = l. Solve -l*g + 72 = -12*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + 5 + 2 + (-10 - -16 - 12)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 5:52 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 12 + 8*c + 2*c - 22 + c**2 + 12 + 1. Determine x(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/11, 6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15600 and 27300?\nAnswer: 109200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from reeerkekeee.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*m - 100. Suppose -4*j = -0*j - m. Suppose f - 2*f = -2*d, j*f = d + 18. Solve -d*q = q - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -86?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(52) - (sqrt(52) - sqrt(364)\/sqrt(7))*-4 - sqrt(52))\/(-3*sqrt(28)\/sqrt(7)))**2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6522 - -32609\/5. Let q = -14.1 - -14. Which is the closest to 3? (a) q (b) 2\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a century in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z - 15. Let s be r(6). Let v = 13 - s. Which is the nearest to v? (a) 2\/7 (b) 2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46 - 9*x - 9*x - 45 + 4*x - 3*x - 2*x + (-1 - 2 + 0)*(-9*x - 4*x - 15*x).\nAnswer: 65*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156581 is divided by 1294?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((6 - (-128)\/(-20))*1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 398, 1564, 3508, 6236, 9754, 14068, 19184, 25108?\nAnswer: 31846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -629 at most as big as -4943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(2\/(-1))\/((-30)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2913*v = -2923*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -392.71 - -389. Let t = 3.71167 + o. What is t rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + 3 + -2 - (sqrt(275) - (6*(sqrt(275) + sqrt(275) + 0))**2))*-3.\nAnswer: -118803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 69.45818 centimeters?\nAnswer: 694581.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/54)\/(-4)*4\/(-128)*-24.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 5*c**2 + 2*c.\nAnswer: c*(c + 1)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 50938, 50946, 50954, 50962, 50970?\n\"Answer: 8*n + 50930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 221442?\nAnswer: 221444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -60) + (-3 - -2). Let q be 59\/5 + 2\/10. Suppose -4*s + m = 2*l, 5*s - l - 49 = q. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106 and 3392.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65688)\/(-1564) + (-444)\/10)\/(-1*(-4)\/(-50))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g = -3*p + 47, 3*p = -9. Find the common denominator of (-93)\/(-4) + 1*-1 and (g\/2)\/((-32)\/(-26)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**3 + 15503*w**2 + 2*w - 5783 wrt w.\nAnswer: 12*w + 31006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2151*m + 2156*m - 19524*m**2 - 4308*m.\nAnswer: -19524*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - q - 42. What is u(0)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 854 + -852. Calculate the highest common divisor of 55 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 11*p**2 - 26*p - 11. Let t = 519 + -532. What is d(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -698*w + 693*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8821599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkll when four letters picked without replacement from {k: 10, l: 9}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*n - 46*n - 76*n + 2*n - 54*n - 44*n.\nAnswer: -92*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/4 and 87\/16388.\nAnswer: 16388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425 - 428 - 443 - 431 + 1727 + s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-12)*186)\/((-15)\/(-860)). What is the highest common divisor of 86 and i?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*f + 5 = 0, -2*p - 7 - 4 = -5*f. Let a(g) = g**2 + 2*g + 2. Determine a(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -493*z - 315. Is 43 a factor of p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18535*i - 18530*i - k = 10, -i - 2*k + 24 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615310 is divided by 676?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6150*k + k**2 - 72557026 + 72557026 as d + n*k + l*k**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*n + 789, n = 5*n + 4*j + 788. Let g be (-96)\/(-176) + n\/(-286). Are 2 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6595, 6664, 6733, 6802?\n\"Answer: 69*w + 6526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -164, -212, -240, -242?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20165696\/301 + -66996. Let l = -2\/43 - w. Factor -2\/7*i**4 + 2\/7*i + 4\/7*i**2 - 4\/7*i**3 + l*i**5 - 2\/7.\nAnswer: 2*(i - 1)**3*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.488775 months?\nAnswer: 0.54073125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 954 and 21942?\nAnswer: 21942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.59 (b) 1\/3 (c) 78 (d) -0.09818\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89 + 93. Suppose u = o*u - 33. Suppose 0 = 2*q - u - 17. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 14*h**2 - 23*h - 139. Let v be 3\/(42\/(-172)) - 246\/(-861). Is q(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**2 - 433*l - 54. Calculate o(-72).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d**2 + 15*d**2 - 13*d**2)*(-13*d**3 + 2*d**3 - 6*d**3).\nAnswer: 102*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuzuzuuzzuzuzuuuzzz. Give prob of sequence zu.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 2*r**2 - 12*r - 4. Let k be a(0). Put 35, k, 5, 4 in descending order.\nAnswer: 35, 5, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 - 184\/3. Let h = 0.26 - -0.04. Let u = -0.3 + h. What is the nearest to -2 in 0.5, u, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (2 - 2)) + (8 - -8). Let l = 36 - y. Suppose 2*h - l = 1. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -26982152.27 and -9.\nAnswer: -26982161.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 356851*y**3 + 2*y + 38658 wrt y.\nAnswer: 2141106*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 7*w + 24. Let y be c(-8). Solve -2*k = -5*l - 31, 4*l + 2*k = 2 - y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 10:40 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. Suppose 0 = 2*k - a - 33, -3*a = 3*k - y*a - 42. Solve -k = 4*b - b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*v - 230 - 490. What is the highest common divisor of v and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*a*o**3 + 2*a*o**2 + 5*a wrt o.\nAnswer: -252*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552005691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-4)))\/w*(w\/w**(-1\/3))\/w*w**(-5)\/(w\/(w\/w**(1\/12))))\/(((w\/w**(1\/3))\/w)**(-12))**(-2\/83) assuming w is positive.\nAnswer: w**(-549\/332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = -53*f + 286 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, 3, 6, 9, 12, 15?\n\"Answer: 3*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3096*r + 3102*r + 3 + 2 - 7 = -2*h, -4*r = 2*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 7. Let w = u - 10. Let x = 0 - w. What is the least common multiple of 11 and x?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, 3, -0.08, 4\/55, 68?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/6 (b) 41 (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*f + 20. Let n(i) = 6*i + 16. Let y be n(f). Let k = -2\/23 - 15\/92. What is the nearest to y in 3, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*((-5*sqrt(171)*-4*-3)\/(-4*(sqrt(1296) - -2*sqrt(1296))))**2.\nAnswer: -475\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 4*i**2 + 3*i + 6. Give g(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 8 = -2*m, 2*a - 6*m + 10*m + 10 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3012, -6072, -9132?\n\"Answer: -3060*m + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**4\/4 + l**3\/3 - l**2\/2 + 3*l + 1. Let i be s(0). Suppose 2*h + i*h = 25. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/23, 14, -0.3 in decreasing order.\nAnswer: 14, 4, 2\/23, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -86) + 0 + 42 + -36 + 6.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(32\/36))\/(-6).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k - 2. Suppose 0 = -2*i - 5*q + 18, 2*i - 3*q - 6 = -4. Let l be (15\/6)\/(k\/i). Solve -l*g + 15 = -2*g, -3*b + 2*g = 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnuyhu. What is prob of sequence uu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, e: 6, j: 2, m: 3}. Give prob of picking 4 e.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 273*u + 6828. Let a be x(-25). Solve 5*s - k = a*k - 28, 5*k - 6 = -s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5938 - 5938 - h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r + 1. Let p be u(1). Suppose p*y = -f - 13, 2*f = f + 4*y - 37. What is the tens digit of -1*2 - (f + 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 6:07 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 2:19 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866185.\nAnswer: 5, 191, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.6 - -4. Let w = t - 0.2. Let a = -0.2 - 0. What is the closest to 1 in 0, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 721785064 to the power of 1\/2, to the nearest integer?\nAnswer: 26866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 114 - 114.69. Let w = -0.11 + t. Let v = -3.8 - w. Which is greater: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 2. Let a = q + -3. Let h(l) = -l**2 - 3*l - 1. Calculate h(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 5 (b) -1 (c) 2\/541 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0 + 0*i - 1\/3*i**5 + 25\/336*i**8 + 0*i**3 + 2\/3*i**6 - 17\/42*i**7 + 0*i**4 + 18*i**2. Determine f, given that l(f) = 0.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(76) + 3 + 1) + -4.\nAnswer: -2*sqrt(19) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/448*1)\/(24\/224).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 61631891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c5 - -5?\nAnswer: -1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/((-5)\/105*3*-7). Find the common denominator of 63\/76 and (188\/o)\/(2\/((-24)\/6)).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 224 (base 7) to base 6\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1645988 - -70955.304.\nAnswer: -1575032.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 21. Let i = 15 + z. Solve 4*x = 0, -i*n - 5 = 4*x + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from hheeeeenweueuee.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23312 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = 2*p + 5*p. Let w = 53 + p. Suppose w*s - 290 = -5*k, 4*s + 5*k = 314 + 66. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*f - f = 314, -5*f - 622 = -2*b. What are the prime factors of b?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.039293 from -749.1.\nAnswer: -749.060707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -2003, 4, -3, -2\/5 in descending order.\nAnswer: 4, 1\/4, -2\/5, -3, -2003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71924898557\/814 + -88359843. Let k = -558\/37 - u. What is the common denominator of k and -131\/42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23865 divided by -9.\nAnswer: 7955\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + i - 2 = 0, 38*p = 34*p + 2*i - 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -517\/8 - -66. What is the common denominator of 94\/(-36) - (-8)\/(-36) and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4*(-5)\/(-12))\/((-16)\/(-480)). What is the highest common divisor of x and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -661, -2502, -6159, -12238, -21345, -34086?\nAnswer: -51067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 10. Let n be r(-8). Let v be n + (2 - 1)\/1. Let q(z) = z + 6. Let w be q(-6). Solve v*f - f = w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1936\/7, -4\/5, -3\/7, 59?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/21 - (-2706)\/154?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y**2 + 1 - 30*y**2 - 2 + 9*y**2 - 25*y**2 + 72*y**2.\nAnswer: 14*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42076 and 16328.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 4) to base 16\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 + 5*o - 2. Give g(6).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. Let p be (-3)\/f - (-4)\/(-8). Let h = p + 2. Solve 5*m + 6*u - u = h, 2*m - 3*u = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3626, 0.3, 1, -1\/14 in increasing order.\nAnswer: -3626, -1\/14, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 - -1.4. What is the biggest value in -3, q, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20886024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**4 - 62095*l**3 + 155787840*l**2 + 239871250260*l + 239715400320 = 0.\nAnswer: -1056, -1, 6738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32, 87, 156, 245, 360, 507, 692?\n\"Answer: j**3 + j**2 + 45*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - (0 + sqrt(1088) + -1) - sqrt(1088)) + -2)**2.\nAnswer: 16*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from ggeyaepcy.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 16, 4*r - 22 = q - 0*r. Put -2, q, 4 in decreasing order.\nAnswer: 4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p**3 - 9*p**2 - 6*p - 6. Let o(k) = -12*k**3 - 17*k**2 - 12*k - 11. Give -3*o(f) + 5*z(f).\nAnswer: f**3 + 6*f**2 + 6*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -20. Let t = 6 + -8. Let q = t - -6. Calculate the highest common divisor of q and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -122*u**3 - 47*u**2 - 84*u + 9. Give o(-2).\nAnswer: 965","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 + 79. Let l be 589 - (9\/15)\/(q\/(-25)). Is l - 3 - (0 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2695787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**5)\/f**(-9))\/((f\/(f*f**(-1\/5)*f))\/f**(2\/5)))\/((f\/(f**(-4)*f*f)*(f*f*f**1*f)\/f)\/(f**(-2\/9)*f\/((f\/(f**(-2)*f))\/f*f))) assuming f is positive.\nAnswer: f**(-46\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357323 is divided by 32481?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-112)*14\/292*(-8)\/8?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*t + 41, t + 0*p = -2*p - 14. Let y(c) = -4*c**3 - 5*c**2 + 4*c + 2. Let l(k) = 4*k**3 + 6*k**2 - 5*k - 2. Give t*l(u) - 5*y(u).\nAnswer: 4*u**3 + u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23828646, 23828645, 23828644?\n\"Answer: -r + 23828647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**3 - 14*m**2 + 10*m + 2. Let f be 4\/(-18) - ((-388)\/(-18))\/2. Is j(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3157902648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 h when three letters picked without replacement from dqdhoohohoowhdoodnh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/43, -2\/5, -127 in increasing order.\nAnswer: -127, -2\/5, -0.3, 2\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4845*s = 4375*s + 15040 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 take away 805105711912?\nAnswer: -805105712082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -1355*z**4\/6 + 3781*z**2\/2 - 4*z - 42. Differentiate v(c) with respect to c.\nAnswer: -5420*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1842636 divided by 6.\nAnswer: -307106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 423 and 29178.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 7*a + 366. What are the prime factors of a?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 5*y + 3*y)*(2 - 2 + y) - 3*y**2 + y**2 + 4*y**2 + (64 - 64 + 6*y)*(3 - 2*y + 8*y - 2).\nAnswer: 37*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3) + 3 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 609.32478 to the nearest integer.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15260 != 15367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 6\/(-4))*0. Let m = -126 - -382\/3. Is m smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-12) - 4747633\/(-44). Round q to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -41954, -41969, -41990, -42017?\n\"Answer: -3*f**2 - 6*f - 41945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.26 - -0.14. Let a = v + -1.7. Let t = -5.9 - -0.9. What is the biggest value in -3, a, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 1\/104, 1?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q - 2490 = -5*g, -3*g = -2*q - 1496. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j = -27*j + 12. Suppose 0 = -0*v + j*v - 12. Sort 2, -3, v, 3.\nAnswer: -3, 2, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 12\/10)*5. Suppose 3 = u - 0. Which is bigger: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22860)\/32385)\/((3\/(-34))\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -4 + 19)\/2. Suppose -37*w = -34*w - 9. Solve g + 0*g = w*f + v, -4*g - 24 = 3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 25 = -v, -v - 4*u = -103 + 104 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1040 - -1069. Solve y = v + 25 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117 + -124. Which is the closest to 1? (a) -4 (b) 2 (c) j (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 9:02 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1705?\nAnswer: 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 820*y - 5945 + 1025 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44906628 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000049981 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104570 - 104536.9894. Let z = -28 - 5. Let s = y + z. What is s rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.26631732 to three decimal places.\nAnswer: -3.266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j**3 - 118*j**2 + 72*j = 0 for j.\nAnswer: -4, 0, 9\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-2) + 1)\/(2844\/(-135) + 21). What is the highest common divisor of 2055 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*10\/(-6) + 34. Solve -f - 97 = -5*m - 81, -3*f = 3*m - d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of (2474 - (0 + 1)) + (62 - 66)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*c - 200*c**2 + 98*c**2 + 169*c + 109*c**2)*(-2*c + 6*c - 3*c).\nAnswer: 7*c**3 + 192*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -7, 11, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -130\/979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 - 22*z + 28. Let m(u) = -2*u**2 + 11*u - 14. Let x(n) = -5*m(n) - 2*v(n). List the prime factors of x(7).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*a**2*d*l + 3*a**2*d - 3*a**2 + 36*a*l + 2*a - 2*d*l + 2*d - 15*l wrt d?\nAnswer: 29*a**2*l + 3*a**2 - 2*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*n = 18, 5*o - 45 = 3*n + 1. Which is the closest to 11? (a) -24 (b) 4\/7 (c) -1\/7 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-2))\/((-1)\/(-2)). Let w = 15 + -14. Let s = o - w. Let q(y) = y + 2. Determine q(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316799 is divided by 320.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184658, -369313, -553968, -738623?\nAnswer: -923278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c + 47. Let m be o(14). Let f = m - 71. Let n = 147 - f. What is the remainder when n is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109 or 4811\/44?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132*a - 395*a + 88*a**4 - 2*a**3 - 46*a**4 + 100*a**4 + 26*a wrt a.\nAnswer: 1704*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8854 + -8789. Solve -x*n = -10*n + 330 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2204b38 + 4?\nAnswer: 2204b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7334)\/(-6) - (-8)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(3\/4)*k)*k*k*k**(-2\/3)*((k**7\/k)\/k)\/k**6 assuming k is positive.\nAnswer: k**(-5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**9\/2160 + d**5\/60 + d**4\/4 - 7*d**2. Let y(q) be the second derivative of r(q). What is the derivative of y(a) wrt a?\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v - 2 + 2 - 1 + (-8*v - 14*v + 44*v)*(3 - 1 - 4) + 3*v - 3*v + 2*v.\nAnswer: -44*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33154575 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1144, 1.2.\nAnswer: 1, 1.2, 1144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -927297*j**3 - 1077*j - 5385. Let x(o) = 4303*o**3 + 5*o + 25. What is -5*m(h) - 1077*x(h)?\nAnswer: 2154*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 16 = -6*f. Suppose -3*o - 22 = -4*o - f*q, 0 = 3*o - q - 1. Factor 11*y + o*y**3 + 5*y - 8*y**2 - 8*y.\nAnswer: 2*y*(y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 10 = 2*x. Let h(p) = -x*p**3 - 3 - 2*p - 44*p**2 + 3*p**3 + 47*p**2. Is h(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/22232 and 25\/68?\nAnswer: 377944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.09919 rounded to two decimal places?\nAnswer: -45.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 - (-3 - (0 + -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.0999875 + -4.1. Round c to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (4 + 2 + sqrt(117) + -1 + 0)*3*-6)**2.\nAnswer: 9396*sqrt(13) + 45477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 7. Suppose 0 = l + 2*t + 5, 4*l + 2*t = t + b. Suppose -4*y + 9*y = l*h, 10 = 5*y - h. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -528417, -1057004, -1585901, -2115264, -2645249?\nAnswer: -3176012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8\/23963?\nAnswer: 8\/23963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -17 = -211\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/165 and 5 + 47 + -50 + 9\/5.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*w - 12 = 0, -1 = -z - 3*w + 3. Let r be (-1 + z)*56\/(-12). Let x(y) = -y - 7. Let g(c) = -1 - 1 + 3. Calculate r*g(u) - 2*x(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x = v - 18*x + 2, -3*v + 18 = -2*x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-7 + 5)) + (9 - (4 - 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = w - 5, 3*w - 13 = -k + 3*k. Let d(z) = 31*z - 1. Let c be d(k). Let i be (-1)\/4 - c\/12. Solve 4*p = -4*l + 4, -2*p + 11 = i*l + p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/(f**(-3)\/f))\/f)*f\/((f\/(f**(-12)\/f))\/f)*f)**4 assuming f is positive.\nAnswer: f**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -5 + 1 - (234 + -263)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from hnonnooo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 2\/11*b**4 + 0*b - 1 + 10\/33*b**3 - 2\/11*b**2 - 6\/55*b**5. Determine t so that p(t) = 0.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oggo. Give prob of sequence ogo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 856710 divided by -45.\nAnswer: -19038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d + 0*d + d)*(-4 + 0 + 2) + 7*d + 0*d + d - 1 to the form k + o*d and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-66))\/(32\/(-560)). Let y = -16\/11 + t. Factor y - 5\/3*k + k**2.\nAnswer: (k - 1)*(3*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -12*w**2 + 5*w + 1. Let j(r) = 5*r**2 - 3*r - 1. Let l(g) = 7*j(g) + 3*v(g). Let t = -7 + 4. Calculate l(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 500.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 8*z**3\/3 + 3*z**2 + 4*z - 2. Let q(m) = m**2. What is q(s(a))?\nAnswer: 256*a**2 + 192*a + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2853291 divided by -5.\nAnswer: -2853291\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 10:48 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 90, 0 in increasing order.\nAnswer: -3, 0, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)*-2)\/sqrt(7) + (sqrt(162) - (-1 + sqrt(162) - sqrt(162))))**2 + 1.\nAnswer: 14*sqrt(2) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 211463?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 16. Suppose -19*y - 27 = -v*y. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/253 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -285, -1110, -2485, -4410, -6885?\n\"Answer: -275*l**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y + 5. Let v be (-2)\/(-7) - 12\/(-7). Suppose -v*r = r - 15. Is x(r) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15805 + -5?\nAnswer: 15800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/6)\/((-340)\/408). Factor -8\/15 + 0*v - 2\/15*v**3 + u*v**2.\nAnswer: -2*(v - 2)**2*(v + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439106286 is divided by 141?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2512.7141 and -3?\nAnswer: 7538.1423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 356 = -0*p. Let w = p - -52. Let k = 53 + w. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -664.3 rounded to the nearest ten?\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -364147 or -364146?\nAnswer: -364146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.327 and 62032.\nAnswer: -20284.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u**3 + 5*u**2 + 26*u + 7. Let v(f) = 4*f**3 - 2*f**2 - 14*f - 3. Calculate 2*s(x) + 5*v(x).\nAnswer: 6*x**3 - 18*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-4)\/98*(-1995)\/(-3420).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*u**2 - 8 - u**3 + 8 + 86*u**2 as l + w*u + p*u**2 + q*u**3 and give p.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 - 33*a + 38. Let y(u) = u**2 + 46*u + 431. Let c be y(-14). Calculate l(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/27)\/((-67)\/((-2345)\/(-70)))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 4*r - 1 + 15, 0 = -2*k + 2*r - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1055.49 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 302*h - 306*h + 4*f - 24, h = -f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3456 (base 8) to base 7\nAnswer: 5234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -32. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**5 + 3*o**4 + 2*o**3 - 16*o**2 + o + 9. Let y(a) = -a**4 - a**2 + 2*a. Let v(b) = -t(b) + 2*y(b). Factor v(s).\nAnswer: -(s - 1)**2*(s + 1)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 208 and -0.4?\nAnswer: -83.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yttttyggttttggyt. What is prob of picking 1 g and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(-160*w**5 + 255*w**5 + 133*w**5) + (-w**2 + 5*w - 5*w)*(-w**2 + w**2 - w**3).\nAnswer: -455*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -1781872561?\nAnswer: -1781872561.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o = -17*o + 3. Let t be (1 - 0)\/((-2)\/4). What is the units digit of (o - (1 - 8)) + t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from uquuhuuqqquuu?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36194 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14534130 divided by 484471.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -11*t + 1050. What is the units digit of u(37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 21*l + 255. Let d be p(13). Which is the closest to 1\/3? (a) 1\/4 (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -918 divided by 17?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 373 - 744 + 373 - z**2 + 7*z + 15*z + 8*z to the form r*z**2 + d*z + j and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441*k - r - 15 = -437*k - 0, k = -3*r - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 - 5*b + 5. Calculate r(6).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-21) - (-2)\/7. Suppose -q*m = -5*k - 5, 0*m + 13 = -k - 2*m. Put 4, k, 3 in increasing order.\nAnswer: k, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 890819?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 271 divided by -2.\nAnswer: -271\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 25*q - 36. Suppose -j - 649 = -q*r, 0 = 4*r - j - 994 - 305. Calculate the greatest common divisor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**3\/13 + 2956710*y**2\/13 - 84058184958*y - 7649439710654\/13 = 0.\nAnswer: -7, 739181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 3*d - d - 24, 3*g = 2*d + 18. Suppose g*j = 11*j - 1533. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 2\/3*h**3 + 1\/12*h**4 + 0*h + 1\/105*h**7 + 0 + 25*h**2 - 1\/240*h**6 - 1\/12*h**5 - 1\/672*h**8. Factor f(t).\nAnswer: -(t - 2)**3*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**4\/12 - s. Let d(i) = -i**2. What is d(r(h))?\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = k + 2*i, -929*i + 25 = -924*i. Let t(p) = -p**2 + 3*p - 2. Let z(x) = x**2 - 2*x + 2. Let w(b) = 6*t(b) + 7*z(b). What is w(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-594)*-2)\/(16\/(-144)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6) - 6\/81*-3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*q + 8*q - 27*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.146 - 52.354. Let d = -53 - f. Put d, -3, -0.2, -1 in ascending order.\nAnswer: -3, -1, d, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 20. Suppose -t = -12 - q. Solve m - 5*m = -t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**2 + 6*a**2 - 23*a**2 + 13*a**2 - 16 to i*a + j + h*a**2 and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2945*l - 3355. Let w be m(-7). What is the greatest common factor of w and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*z + 42 = 381*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0*u. Let i be -4 + (-1)\/5 + 4. Which is bigger: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109212 is divided by 1348.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 23 = -5*u - 4, i - 4*u = 22. Suppose -i*h = 5*r - 137, -5*r - 4*h + 0*h + 129 = 0. What is the remainder when r is divided by 4\/3*45\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 93 = -3. Let p(z) = 3*z**2 - 19*z + 10. Let s be p(u). Suppose -2*b = -s*b + 68. Calculate the remainder when 65 is divided by b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27 - -42)*(19\/(-3) + 0). Let c = 96 + z. Sort c, 5, 4, 0.\nAnswer: 0, c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 12. Suppose 4*f = -t*v + 510 + 418, v - f - 479 = 0. Suppose 324 + 145*d**2 + 4*d**4 - v*d + 42*d - 48*d**3 + 71*d**2 = 0. Calculate d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 2. Let f be s(2). Suppose -5*o = -5*u + 10, 14*o = 12*o + 2. Suppose f = -4*m - u*l + 68, 3*l - l - 8 = 0. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*i**2 + i**2 + 2*i**5 + 6*i**5 wrt i?\nAnswer: 480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 366 - 6. Find the second derivative of 4*d - 29*d**5 + s*d**2 - 72*d**2 + 29*d wrt d.\nAnswer: -580*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 7*g - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 212878\/47 or 4528?\nAnswer: 4528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - b19a?\nAnswer: -b19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4373 - -4373.1. Is l <= -4.252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -3*t - 2*q, 0*t - 5*q - 40 = 2*t. Let f be (4\/8)\/((-3)\/(-6)) - t. Suppose k + 0*y = 3*y + 132, f = -4*y. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 354 + 2*r - r**2 + 358 - 712 - 8*r**3 + 6*r**2 to b*r + k*r**3 + q + f*r**2 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -4\/3, -0.1, 1\/4 in increasing order.\nAnswer: -4\/3, -0.1, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*g**2 - 26*g + 26*g to the form d*g**2 + z + o*g and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(128))*-4.\nAnswer: -8 + 64*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p. Suppose -3*l = -x - 1, 0 = -x + 2*x + 3*l + 19. Let n be 32\/18 + x\/(-45). Let o(r) = 302 - 302 - n*r**2. Calculate c(o(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8991 or -8994?\nAnswer: -8991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.129261\nAnswer: 0.517044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 42*s - 8755. What is i(-117)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -38*o**3 - 77*o**2 - 58*o + 40. Let n(g) = -11*g**3 - 25*g**2 - 19*g + 13. Let v(y) = 7*n(y) - 2*s(y). Determine v(-20).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-2739.607.\nAnswer: -1095.8428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -52. Suppose -392*v + 1071*v - 2450 = 1609 + 694. Solve -v*m = -x + 43 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -740*v = -742*v + 64 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11*f + 3. Let g(u) = -32*u - 8. Let j(c) = -17*b(c) - 6*g(c). Let o be j(5). Suppose 154 = 4*r + o. Calculate the remainder when r is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*t - 26 = 2*u, -4*u - 3*t + 27 = 0. Let w be 1 + u + -2 + 6\/(-6). Let g be ((-2)\/(-4))\/(3\/(-6)). Sort 0, g, w in increasing order.\nAnswer: g, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4333*b - 4001*b + 5416*b)*(9 + 0 - 1) in the form n + z*b and give z.\nAnswer: -23344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - q - 7. Let u be k(5). Suppose u = 2*z + 5. Let y = z - 2. Which is bigger: y or -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 406*d**2 - 59680*d - 112. Determine u(147).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o + 199 + 46. Let f be (-63)\/o - (-1)\/5. Suppose 0 = -0*y + f*y - 2. Is 2\/49 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hafhttjythyfyhj. What is prob of picking 1 f and 1 h?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 13\/2*g**2 + g + 9. Calculate u(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -6 + (-28 - -28).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, -6\/7, 122, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3276519 minus 1.9893?\nAnswer: -3276520.9893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 40 = -o. Let p = o - -217. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*j - 26*j + 74*j - 26*j - 30*j**4 + 15 wrt j.\nAnswer: -360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7555 + 22443. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -69\/8, 1\/6, -0.06, 4 in decreasing order.\nAnswer: 4, 0.3, 1\/6, -0.06, -69\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 263?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11191837581 - -248.\nAnswer: -11191837333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-6)*2*6. Let v(s) = -s**3 - 7*s**2 - 3*s - 4. Let w be v(-6). Let y = m - w. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3116, -6272, -9414, -12536, -15632, -18696, -21722, -24704?\nAnswer: -27636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*y**2 + 586*y**2 - 3 + 3 to i*y**2 + h + u*y and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -272. Let f = -150 - j. Let a = -112 - -129. Calculate the remainder when f is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520345642 times -2?\nAnswer: -1040691284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -51*n**2 + 830*n + 7. Let s(u) = 115*u**2 - 1663*u - 15. Calculate 9*k(z) + 4*s(z).\nAnswer: z**2 + 818*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -867.6991 rounded to 1 decimal place?\nAnswer: -867.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 11:52 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73285416, -73285417, -73285418, -73285419, -73285420, -73285421?\nAnswer: -73285422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/569426 and -1\/390.\nAnswer: 8541390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7860*s - 433651 = 37949 for s.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 10) + 11 - 36\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**3\/6 + x**2\/2 - x. What is q(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38c6f3 (base 16) to base 2.\nAnswer: 1110001100011011110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/14)\/((-604)\/5285)*(-11)\/(-30).\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3080*i - 1654 wrt i?\nAnswer: -3080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51629*h + 30597*h + 29586*h.\nAnswer: 8554*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -43*x**3\/6 - 67*x**2\/2 + 2*x - 39. What is the first derivative of i(s) wrt s?\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 87653.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12165131.4 and 0.8.\nAnswer: -12165130.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.20290582*3.5.\nAnswer: -0.71017037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 5579?\nAnswer: -5582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2259909 - -0.226. Round c to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/18*55\/(-8415)*-12?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**4\/12 - c**3\/3 + 3*c**2. Let l = 15 + -9. Is o(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33990347*o**3*u**3 - 4*o**3*u**2 + o**3*y**2 - 2*o*u**3*y**2 - 156*o*u**2*y + 20*o*u*y**2 + 2*o*u + 3*o*y wrt u.\nAnswer: 203942082*o**3 - 12*o*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 504763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 + -3.4. Let t = 8 + k. What is the nearest to 2\/3 in t, 5, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 10:02 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 22600 = -2*x. Let b = -4272634 - -38402921\/9. Let r = b + x. What is the common denominator of 71\/2 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**5\/3 + 5*q**4\/24 - 21*q**2. Factor j(x).\nAnswer: -5*x*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (610\/(-366))\/((-5)\/(-27)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/14941 (b) -0.3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*g - 4*g - g)*(3 - 5 + 3) + 748 - 38*g - 748 + 0 + 0 - g + (-4 + 2 + 4)*(-g - g + g))*(6*g**4 - 4*g**4 - g**4).\nAnswer: -43*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8025 = 13*t - 40746. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.26 * -37.179\nAnswer: 641.70954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*f, 11*w + 4*f = 6*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 168 + -164. Which is the nearest to -7? (a) 1 (b) h (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2044 = -2*h. Let q = h + 32689\/16. Calculate the common denominator of -85\/14 and q.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**2 - 149*h - 31. Let j be c(30). Let g be ((-10)\/(-6) + j)*(-153)\/(-34). Factor -2*i**2 - 18\/7 - 30\/7*i - 2\/7*i**g.\nAnswer: -2*(i + 1)*(i + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 400*q**2 - 9500*q - 50000.\nAnswer: 5*(q - 100)*(q + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*k**5 - 3*k**2 - 157*k.\nAnswer: 120*k**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-4) + 3 + -1. Let h(b) = -b + 10. Let d be h(f). Suppose 5*q - 30 = d. Calculate the least common multiple of 5 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/2)\/(-1) + 1. Let r be s\/(-270)*18\/(-12). Let q = r - -193\/1170. Sort q, -2\/7, 5 in descending order.\nAnswer: 5, q, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6741*k**2 + 745*k - 2247. What are the prime factors of f(3)?\nAnswer: 3, 20219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 + 50737*b + 46461*b - 97198*b.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-106)\/(-22) - (2128\/(-88) - -24). Let a be (0*1\/(-2))\/1. Solve -q = y*o - 0*q + 29, a = o + q + 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*x - 99 = -644, -3*x = -5*c + 635. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhjhhjythjhthhj. What is prob of sequence yht?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -2003851.\nAnswer: -2003849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*z - 7 - 5, -q + 4 = z. Suppose -q*v + 492 + 152 = 0. Suppose -2*l = -0*l - v. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 43. Let v(u) = -w*u + 0 + 9*u + 0. Let n(f) = 14*f. Let h(q) = -5*q. Let t(d) = 11*h(d) + 4*n(d). Calculate t(v(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3\/c)**29\/(c**22*c**(3\/13)) assuming c is positive.\nAnswer: c**(465\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 686315 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 298239011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 177*u + 9223 = 290*u - 24167 for u.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 8*f + 780 = 4*h, 2*f - h - 378 = 0. Calculate the remainder when f is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.15 and 34068.\nAnswer: 34067.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 5867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 10*w = 8*w - 127, -3*b - 14 = -5*w. Put -62, 4, 1\/3, b in descending order.\nAnswer: 4, 1\/3, b, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92680\/20853*378\/15?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 c when three letters picked without replacement from {s: 2, c: 3, k: 1, g: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/379 and 22\/5.\nAnswer: 1895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007818466 to seven dps.\nAnswer: 0.0000782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 3:13 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, c: 2, m: 4}. Give prob of sequence cm.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -225, -1241, -3015, -5925, -10349?\n\"Answer: -63*a**3 - a**2 - 572*a + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 119*c**3 + 62. Let n(x) = x. Calculate n(y(k)).\nAnswer: 357*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -112*y + 449. Let l be c(4). Which is bigger: -10\/681 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*l**3 + 646*l**2 - 728*l + 114.\nAnswer: -2*(l - 19)*(l - 1)*(16*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2400024)\/(-40) + 3\/(-5). Round d to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 0 - 31\/6*m**3 + 0*m**4 - 8*m - 17\/30*m**6 + 0*m**5 + 0*m**2. What is the second derivative of z(j) wrt j?\nAnswer: -204*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -704708, -704700, -704692?\nAnswer: -704684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + 189\/(-9) + -19.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8314a03 - -3?\nAnswer: 8314a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*t**4 - 168*t**3 - 214*t**3 + 382*t**3 - 2*t**2 - 4*t as n*t**4 + b*t**3 + s*t**2 + g*t + j and give n.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -3\/2*o**2 + 1\/6*o**4 + 1\/3*o**3 + 0 + o. Let j(p) be the first derivative of n(p). What is the derivative of j(f) wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, f: 3}. Give prob of picking 3 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/4)\/((-3357)\/(-17904))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, t: 7}. Give prob of picking 1 l and 2 t.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25240503 - -5?\nAnswer: -25240465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 4*j - 12 = 0, -t + 45*j = 48*j - 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m**2 + 8*m - 10. Let p be r(-7). Let k = p - -579. List the prime factors of k.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**2 - 21. Let i(s) = -2*s**2 - 11. Calculate -11*i(q) + 6*j(q).\nAnswer: 4*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24152959 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1 - 43 = -4*m, -3*i + 6 = 0. Solve -4*f = m, -5*n - 4 - 11 = -5*f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8d - -1?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - 6*a + 3*a)*(-1 - 1 + 0) - 6*a + 15*a + 5*a + 15 - 15 + 8*a + 2 - 3*a + 11*a - 3*a in the form d + r*a and give r.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -217 - 5?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (255 + -195 - (-1 + (-3 - -1)))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2 = -w, 4*w + 5*b + 76 - 69 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.098 times -280.3?\nAnswer: 27.4694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 174b50c + 16?\nAnswer: 174b523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, -2 in decreasing order.\nAnswer: -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/8 (b) -5 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 809644938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2614888129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-7\/3)*y*y**(1\/7))**(-21\/5))**48 assuming y is positive.\nAnswer: y**(-816\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37476, 74930, 112382, 149832, 187280, 224726, 262170?\nAnswer: 299612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2)*-3*9\/54\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/5)*w)**(6\/17))**(-2\/111))**(5\/11) assuming w is positive.\nAnswer: w**(-24\/6919)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 6:57 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - -381) + 2\/(-8)*-4. Suppose -5*u + 9*u = y. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 96 + -83 + 28\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. Let z = -1235.547 + 1235. Let k = z + 0.047. What is the second smallest value in b, 16, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + 17 + h**2 - 4*h + 0*h**2 - 15 + 2*h**4 to i*h + d*h**2 + z + r*h**4 + u*h**3 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.3, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18696072671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = v - 21. Let f = -37 + v. Suppose -2*i + 266 = -f*c, 3*i + 5*c = 305 + 69. Calculate the greatest common divisor of 32 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*(4 + -2*((sqrt(833) - -1*sqrt(833)) + sqrt(833) + 5))*-1)**2*-5.\nAnswer: -3602880 - 60480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*28\/7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7424039?\nAnswer: 7, 127, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10*(-1)\/2 + 2. Let g = p - -2. Let d be (g\/(-3))\/(1\/(-15)*-1). Solve r + 1 - 4 = 2*i, i - d*r - 3 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2401*a**2\/5 - 98*a\/5 - 1\/5 = 0. What is a?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0*c + 110. Suppose 3*x - a = 58, 5*x + 5*a = -0*a + c. Solve u = 6*u - x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1889186.\nAnswer: 2, 13, 72661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p = -9. Suppose 0*y + 4*k = -p*y - 11, 3*y + k - 4 = 0. What is the units digit of (-2 + y)\/1 + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/14 in 0.1, -13, 2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, y: 7}. What is prob of sequence yccy?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -228 + 657. Let w = 916 + j. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110111100101110101010000 + -11011?\nAnswer: -10110111100101110101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-3 - (-265)\/90) + (-9285)\/1350.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -65. Let x = 31 + -21. Let m(b) = b**2 - 4*b - 10. Let d be m(x). Calculate the highest common divisor of q and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29046?\nAnswer: 2, 3, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 10*q**2. Let y be v(-9). Suppose -36*t + y = -33*t. Let l be 1 - (-2)\/(-6) - 180\/t. Let x(g) = -g - 4. Calculate x(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*n + 1)*(-3 + 3 + 4)*(n**2 + 0*n + 0*n) in the form t*n**2 + p + w*n**3 + f*n and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a week?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1069080*o**4 - 5*o**2 + 7*o - 12 wrt o.\nAnswer: 25657920*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 257699 in descending order.\nAnswer: 257699, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 4*q**2 + 2*q + 2. Let j be (-3)\/(-4)*(11 - 78\/18). Give p(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9563992 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21000 - 10?\nAnswer: -21010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409321136.\nAnswer: 2, 7, 151, 24203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 92, 97, 102, 107?\n\"Answer: 5*a + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.1568 to two dps.\nAnswer: 35.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**6\/12 - y**5\/5 + y**4\/4 + 2*y**3\/3 - y**2\/4 - y - 2. Find f, given that v(f) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(-3 + 16*b + 3)*(1 + 5 + 0)*(1 + 0 + 1)*(-b - b - 5*b) to the form y + a*b**2 + o*b and give a.\nAnswer: -1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3*h\/((h\/h**(-2\/37))\/h))**(4\/31) assuming h is positive.\nAnswer: h**(584\/1147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*v + 13*v = 47*v + 1836 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 2567.\nAnswer: 9\/2567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 9*d - 4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9256.018 centimeters to meters.\nAnswer: 92.56018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grrlllclurlrrluc. What is prob of picking 1 l and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 101617*t + 7118090.\nAnswer: -(t - 101687)*(t + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*l + 44 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 2:07 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8253 - -8339 - (128 + -1)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149067 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-2 - -3))\/1. Let k be (-50)\/(-18) - (-4)\/m. Solve -v - 1 = -k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - l + 92. Suppose -9*w = -114 - 156. Suppose -o + l = -w. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 24*u - 18*u + 6*i, -2*u + 5*i = 2*u + 31 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 318208307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**5*n + 12451*l**5*v**2 + 8*l**2*n*v**2 - l**2*v**2 - 2*l**2 + 8*l*n*v**2 + 3*v**2 wrt l.\nAnswer: 120*l**2*n + 747060*l**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 172, 2, 0, -693, -2, 6 in descending order.\nAnswer: 172, 6, 2, 0, -2, -693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/219 + -16441\/1752. Find the common denominator of -25\/64 and b.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 5*a**2 - 4. Suppose 4 = 4*g, 3*g + 261 - 248 = 4*w. Calculate y(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in 13, 4, -10\/9, -7\/5, 3\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -33, 4, -20\/327, 33, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/8 - 10*f = 0. Calculate f.\nAnswer: 0, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2387*n**2 + 1854*n**2 - 4708*n**2 + 2*n to a*n**2 + q + r*n and give a.\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddxdddddddxdxd?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y + 106. What is v(27)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-86)\/(-172)*(-2 + 2). Let a be (-79425)\/40269 + (-1 - -3). Let s = a + 2\/433. Are s and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzx when three letters picked without replacement from {o: 1, x: 5, z: 2, q: 1, h: 7}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -24, 9, 66, 153, 276, 441?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**5)**(-5\/14)*(h\/h**(11\/4)*h)\/(h**(5\/3)\/h) assuming h is positive.\nAnswer: h**(-299\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = y - 0*y + 2*h, 16 = -4*h. Let f = 3 + 15. Calculate the remainder when y\/8 + (-417)\/(-12) is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(85)*3 - sqrt(85)) - sqrt(85))*1*5)\/(-3*(sqrt(180) + sqrt(180)*2*-4)).\nAnswer: -5*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-22))\/(3*1\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + 9*x + 7*x - 10*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -19, 0.1, -1?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*o + 57. Find the first derivative of -12*h + 0*h**4 - 3*h**4 + o*h - 1 wrt h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -743 + 728. Let t be ((-4)\/10)\/((6\/(-15))\/2). Sort 7, r, t.\nAnswer: r, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -17*s**2 - 8*s. Let c(i) = 6*i**2 + 3*i. Suppose 18 = -23*f + 29*f. Let y(v) = f*t(v) + 8*c(v). Let o(n) = 3*n**2. Determine o(y(a)).\nAnswer: 27*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {b: 3, m: 5, d: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 6. Let i = -1.39 - -0.39. What is the biggest value in s, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 - 46*x - 552. Let n be y(34). What is the greatest common divisor of n and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 1\/2, 158, 5, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 124 + (-2 - (2 - 1)). Suppose 0 = -3*g - 15, 4*g + h = 3*w - g. Let m be (-11)\/33 - w\/(-6). Solve 2*q = m*q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 51, 105, 173, 249, 327?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -8. What is the nearest to -12 in y, -4, -1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -2*c - 20. Suppose 3 + 12 = c*x. What is the third derivative of -3*h + 3*h - 5*h**3 + x*h**2 wrt h?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 52435020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g - 2*g**2)*(314*g - 33*g**2 - 143*g + 35*g**2 - 123*g).\nAnswer: -4*g**4 - 96*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(128)*-6) + -2 + ((1*sqrt(891) - sqrt(891)) + 1 + (sqrt(891) + 0)*2)**2.\nAnswer: 863*sqrt(11)\/24 + 3563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) -2 (c) 1\/9 (d) 38 (e) -0.6 (f) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**3 + 5*f + 13. Let g(h) = -2*h**3 - 4*h - 12. Give 5*g(x) + 4*t(x).\nAnswer: 2*x**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 1. What are the prime factors of 2*4\/(i\/23)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(504\/234))\/(-1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.6 + -23.9. Let s be 9\/21 - 39\/140. Let n = s - -1\/4. What is the nearest to n in b, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 25.2. Which is the closest to 7? (a) 3\/7 (b) h (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 1 + 2 + -2 + -4. Let w be ((-2)\/(-20))\/((-3)\/n). Let l = -0.03 - 0.37. Put 1\/6, l, w in decreasing order.\nAnswer: 1\/6, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2*r**3 + 93*d**2 + 9*r**3 with respect to r.\nAnswer: 6*d**2*r**2 + 27*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 207 + 228 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -38*v + 23. Give b(-4).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 538 - 916 = 3*m. Is m not equal to -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000216614 to 5 dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4542321 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 2. Let h(j) = -38*j - 10. What is 6*c(a) + h(a)?\nAnswer: -32*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -528571*l**4\/24 + l**3\/2 + 2*l**2. Let y = 14 + -21. Let f be v(y). What is f rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 348.5887l?\nAnswer: 348588.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2\/5 (c) -1 (d) -192 (e) 0.5 (f) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*((-7)\/3)\/1. Let r(h) = 8*h + 3. Let k(m) = -7*m - 2. Let v(u) = a*k(u) - 6*r(u). Find the first derivative of v(s) wrt s.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Simplify (-2 + sqrt(539) + 5 - (2 + sqrt(539) + 0) - 3*(-1 + sqrt(539) + sqrt(539))*-3)**2*1.\nAnswer: -2016*sqrt(11) + 174700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 115, -23, -81, -2 in ascending order.\nAnswer: -81, -43, -23, -2, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -134, -319, -646, -1163, -1918, -2959?\nAnswer: -4334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -12*s**4 + 18*s**3 + 8*s**2 - 16*s + 4. Let d(t) = -t**4 + t**2 - t. Let x(j) = 2*d(j) + o(j). Find n such that x(n) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u = 4. Find the second derivative of -11*r + 9*r**u + 27*r - 9*r wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**2\/2 + 305*f\/2 + 1188 = 0.\nAnswer: -297, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 + 0)*(2 - 1\/(-1)). Calculate the highest common factor of 20 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbbmbbbbabzbag. What is prob of picking 1 m, 1 b, and 1 g?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 295 + -317. Which is the nearest to 1? (a) -1\/3 (b) -4 (c) 1\/5 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011 (base 9) to base 14.\nAnswer: 76c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**(-1))\/g*g)**(4\/39) assuming g is positive.\nAnswer: g**(4\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-358)\/(-1611)*2*1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -9. Let b(t) = -t**2 + 5*t + 8. Let c be b(o). What is the second derivative of -4*m**c + 0*m**2 + 3*m**2 + m wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41.7 - -41.5. Sort g, -0.051, 2\/9.\nAnswer: g, -0.051, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (418\/399)\/(-11) + 466\/42. Solve y*l + 43 - 54 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30463620 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43885\/6 + -7293. Find the common denominator of f and (-5)\/(45\/(-6)) + (-11268)\/2160.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0791 times 95.4\nAnswer: -7.54614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 w when three letters picked without replacement from fwwwwwf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 718.6008mg?\nAnswer: 718600.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 13 + 3. Let q be ((-4)\/6)\/(2\/(-9)). Let h(i) = 0 + 0 - i + q*i - 1. What is h(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/(-4) + (-286)\/22?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -425, -428, -431, -434?\n\"Answer: -3*c - 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2863.516 decades in years?\nAnswer: 28635.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/55)\/(128\/10560)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - -112. Suppose z - b = -0*z. Calculate the common denominator of z\/44 + -3 + -2 and -15\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9480, -9, 5, 6, 0 in ascending order.\nAnswer: -9, 0, 2, 5, 6, 9480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (sqrt(112) - (-2*(sqrt(112) + 1 - sqrt(112)))**2)) - (1*(4 + (2*sqrt(112) - sqrt(112)) + -3))**2.\nAnswer: -101 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191556631 a multiple of 329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4958 - -4914. Does -48 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81492806 divided by 573893.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 d, and 1 a when three letters picked without replacement from {a: 4, s: 7, d: 7}.\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -693.582 times 3?\nAnswer: -2080.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 - 95. Suppose -62 = -3*y - 4*l, -s*y - 2*l + 44 = -7*l. Suppose 5*j - 161 = -4*b - 10, 43 = j + 4*b. What is the highest common divisor of j and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4070864 and 22876.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5912295 rounded to one dp?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - a = 3, 2*j + j = -5*a + 17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-64 - -62)*(-45)\/(-6). Let i be 12\/k + 882\/840. Suppose -i*a**5 + 2401\/4 + 29\/4*a**4 + 833\/2*a**2 - 161\/2*a**3 - 3773\/4*a = 0. What is a?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1\/4))**(-16)*(j*j**(1\/5))\/j*j\/j**(-6))\/((j**(2\/7)*j\/j**(-1)*j)\/(j**6*j*j**0*j)) assuming j is positive.\nAnswer: j**(-283\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -200, -573, -1268, -2393, -4056, -6365?\nAnswer: -9428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2\/5 (b) 8\/15 (c) 1 (d) -4 (e) -0.8 (f) 17\/788\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.66+0.849\nAnswer: 0.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09335019 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 146447323.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*o + 549*o - 195 = 0 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 1055 = -11*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49893 divided by -16631\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 1, -0.3257, 0.2, -3 in ascending order.\nAnswer: -3, -1\/2, -0.3257, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 12585858?\nAnswer: 1\/12585858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -3, 3\/2, 4, 2.3, -7\/61?\nAnswer: -7\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 842*c**2 + 7402*c**3 - 466*c**2 + 186*c**2 + 1 wrt c?\nAnswer: 44412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1749*p**2 + 915*p**2 + 907*p**2.\nAnswer: 73*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4237 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/10? (a) -11 (b) -6 (c) -3 (d) 2761 (e) -0.1 (f) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 238 + -60. Calculate the remainder when l is divided by -4 + 10 + -2 + (30 - -4).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 14. What is the biggest value in s, -4\/9, -0.5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -5. Suppose 5*a - 14 = -o. Is 4 a factor of (-53)\/(-6) + a\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 906b (base 16) to base 6\nAnswer: 443055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p**2 + 229*p - 4*p**2 - 227*p + 2 in the form k + l*p + b*p**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28\/3 of a week?\nAnswer: 94080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10264628 divided by -32483?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -11*g - 11. Let a(y) = 6*y + 5. Let t(c) = -7*a(c) - 4*i(c). Calculate the remainder when t(5) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a factor of 1517736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -37d746 - -1?\nAnswer: -37d745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68182 - 35386523\/519. Calculate the common denominator of -26\/45 and y.\nAnswer: 7785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -428, 2 in decreasing order.\nAnswer: 2, -0.5, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29467846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 8. Let z(a) = -a**3 + 12*a**2 - 13*a + 12. Let i be z(10). Let y = i + -74. Suppose 0 = -3*b - 4*c + 38, -y = 4*b + 4*c - 52. Calculate u(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33032?\nAnswer: 2, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k - 3. Let q(x) = -x. Let o(c) = c + 4. Let s(g) = -o(g) + 3*q(g). Calculate -5*d(t) + 4*s(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 8*w + 3. Let y = 10 - 18. Let j be s(y). Solve -j*c = 4*v + 14, 5*c - 6*c - 12 = 5*v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**3 + 25*t**2 + 5*t - 24. Let w be u(-8). Solve -2*x - x + 15 = w, 14 = c + 2*x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129 - 129.89. Let v = 35.39 + f. Let l = -24 + v. Round l to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26, -53, -82, -113?\n\"Answer: -v**2 - 24*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720227634?\nAnswer: 2, 3, 7, 3371, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 96245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 1 + 2 + -23 + 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -1)*1\/2. Let w be (j - (5 + 0))*-1. Suppose -4*d - w*s + 66 = 0, d + 4*s + 27 = 2*d. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57595 (base 10) to base 5\nAnswer: -3320340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 4*p - 65. Let d be g(-14). Suppose 186*o - d*o = -88. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -216 + -34aa?\nAnswer: -3704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/2880*184*-10?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 956*a = -955*a + 10, x - 22 = -3*a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 90?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 558019 divided by -1181.\nAnswer: -558019\/1181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -318202508*h - 324069421.\nAnswer: -318202508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 4:28 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 564*u**2 - 186*u**2 - 186*u**2 - 190*u**2. Let k be 7\/1 - (0 + 1 + 0). Let y(s) = 25*s + 6 - 6 - k*s. Determine y(q(c)).\nAnswer: 38*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*c, -5*v + 23 = c - 0. Let k = -14 + 22. Let j be (k\/v)\/((-8)\/(-20)). Solve -l - 3*l = -j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-2)*(8\/(-51))\/4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.074 * 0.3.\nAnswer: -0.0222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 372*d**2 - 4*d + 20. Let q(f) = 93002*f**2 - 1001*f + 5005. Let j(h) = 1001*i(h) - 4*q(h). Let y(g) = -3*g. Give j(y(w)).\nAnswer: 3276*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -47, -184, -413, -734?\n\"Answer: -46*t**2 + t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by -28?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110000000011111 + -100100?\nAnswer: -10110000001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 4.4. Let g be (3 - 0) + -2 + -1. Let o = -4 - -4. Which is the closest to g? (a) o (b) -1\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*l**2 - 9*l**3 + 2*l**3 - 2*l**3 - 185*l - 122*l**2 + 4*l**3 = 0.\nAnswer: -37, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/35521200 and -131\/1003860?\nAnswer: 461775600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 divided by -11625?\nAnswer: 58\/11625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -50. Suppose -2*s + 4*s = 4*x + d, -4*s = -2*x - 20. Suppose x = 15*w - 2*w - 611. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*b, -2*w + b = -3*w + 6. Let j(n) = 58*n - 16. What is the units digit of j(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-10)*(-10)\/(-4))\/(196\/448056*-127)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.342 - -47.6\nAnswer: 47.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 25\/8 of a day?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 45079.03376 to the nearest 1000.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + -2*sqrt(114)*5 - (1*(3*sqrt(114) - sqrt(114)) + sqrt(114)))\/(((sqrt(486) - (1*sqrt(486) - sqrt(486)))*5 + sqrt(486))*1).\nAnswer: -2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4206864*y**2 + 1039389*y wrt y.\nAnswer: 8413728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 315*u = 14413 + 1551 for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**3\/7 + 2655*y**2 + 28549800*y\/7 - 725407500\/7 = 0?\nAnswer: -3110, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((9 - 1) + -3)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3\/7, 13\/25.\nAnswer: -3\/7, 13\/25, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 6:35 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-49 + 97 - 261 - 278)*(-2*u - 4 + 4) as d*u + v and give d.\nAnswer: 982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**3\/2 - 7*s**2\/2 - 4*s. Let x(p) = -p - 1. Let b be 1\/(-3) + 26\/6. Let d be x(b). Determine m(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p**2 + p - 1. Let r be u(1). Let n = r - -13. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 15, v - 21 = -4*b + 9. Suppose 1 = 5*i + 2*z - v, 0 = -5*i + z + 2. Let h be 2\/i*12\/11. Which is smaller: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1274930626?\nAnswer: 2, 637465313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.1 - -7.1. Let r = m + 2.46. Round r to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 3:37 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 66\/120 + -1*1 and (36\/(-80) - 0)\/(12\/88).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**5 - 3080082*u**4 - 40040810*u**3 - 126282390*u**2 - 144762668*u - 55441008 = 0.\nAnswer: -1540028, -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 2557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 2*l + 1. Let m(z) = -2*z**5 - 14*z**4 + 10*z**3 + 38*z**2 - 20*z - 4. Let h(p) = m(p) + 4*r(p). What is u in h(u) = 0?\nAnswer: -7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s + 7 - 7)*(6 - 3 - 1) in the form m + u*s and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w**2 + 23*w + 20. Let r(z) = -2*z**2 + 8*z + 7. Let l(p) = 6*k(p) - 17*r(p). Suppose 0*h = -2*h + 6. Is l(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/3 of a decade in months?\nAnswer: 2440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 2*i, 5*u + 2*i = u. Suppose u = -4*m + m - 6, -5*s + 4*m = -253. What is the remainder when s is divided by (-82)\/(-6) - (-4)\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*x = 1843, -x = -b + 379 + 87. Let q(p) = 2*p + 4. What is the remainder when b is divided by q(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1300422.416 to the nearest ten thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 4*u + 8, o = 2*o - 5*u + 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 182, 256, 310, 338, 334, 292?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 412 and 18.\nAnswer: 3708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.964 + -1.98. Let v = 57.084 - l. Round v to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*j - 6, -12 = i - 2*j. Let x be i\/(-6)*9\/4. Let l(y) = -y**2 + 4*y + 17. Let v be l(6). Is x at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 <= -0.39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.927302l in millilitres?\nAnswer: 6927.302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from {u: 3, k: 4, s: 2, h: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 3 - 148*m**2 - 114*m**2 + 264*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qevn when four letters picked without replacement from {f: 2, n: 2, q: 3, v: 2, y: 4, e: 1}.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -385763 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r**4 - 3*r**3 - 2*r**2 - 5680*r + 50032900?\nAnswer: -4*r**3 - 9*r**2 - 4*r - 5680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -130283, -262559, -394839, -527123, -659411, -791703?\n\"Answer: -2*p**2 - 132270*p + 1989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 609\/(-58)*(-4)\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 301\/86*35\/(-98)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -304 + 217. Let j = z + 81. Let d(k) = 4*k + 9. What is d(j)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16395 is divided by 1638.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 154?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u - 1. Let d(x) = -11*x + 3. Let g(i) = -6*d(i) - 17*v(i). Suppose 56 - 29 = -3*k. Calculate g(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 89*s - 6850. Let j be n(77). Suppose -1\/3 + 31\/6*x**2 - 1\/2*x + 8\/3*x**4 + 8*x**j = 0. Calculate x.\nAnswer: -2, -1, -1\/4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.444 plus 3?\nAnswer: 3.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*b + 112 - 64 + 241 + b**2.\nAnswer: (b + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1631272 + 3768485 = 30*h + 341967. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*r**2 + 17*r**2 - 4*r**5 + ((0*r - 3*r + 2*r)*(r**3 + 0*r**3 + 2*r**3) - 19*r**4 + 13*r**4 + 19*r**4)*(1 + 2*r - 1).\nAnswer: 16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 8*a - 72. Let m be q(9). Let f be (2 - (-3)\/(-2))*10. Suppose 95 = -m*d + f*d. What is the greatest common divisor of 19 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a**3 + 8*a**3 - 2*a**3 + 19*a**3.\nAnswer: 38*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.1502 + -0.1202. Let m = -0.03 + j. Let k = 28.3 - m. What is k rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 166968755?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13775 divided by -2.\nAnswer: -13775\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3.9, 10, 0.01831, 15, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462761 is divided by 462735?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 488 - 974 - 66*o**2 - 32*o + 404. Let y be x(-33). Round y to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 10:45 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = 5*c. Let t = -105 + 111. Suppose -t*v = -c*v. Which is greater: v or -4\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -191 - -195. Let q(v) = -3*v**2 + 12*v. Let t be q(m). Which is bigger: -7\/92 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45481 is divided by 401?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122 + 115. Let p(o) = -o**3 - 8*o**2 - 8*o - 6. Give p(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3565 - 6795. Is 23 a factor of i\/49 - 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9894 + 2026 - 3757 = 465*u for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -617*a*w**3 + 3*a*w**2 - 10*a*w + 10*a - 1252*w**3 + 67*w**2 - 8 wrt w?\nAnswer: -3702*a - 7512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/3)\/(2\/3). Let j = 15 - a. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*z - 3. Suppose -n - 4*n + 20 = 0. Let g(m) = -m + 18. Let c be g(12). Solve z = n*t - c*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -893 - -5712. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -9*o**5\/20 - 5*o**4\/6 + 5*o. What is the third derivative of r(c) wrt c?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38732*x**3 - 24556074*x**2 - 3892131072*x + 1406846.\nAnswer: -2*(x + 317)**2*(19366*x - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + i = -11 + 15, -10*p + 80 = -5*i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 12:26 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.33 - -0.67. Let b = y + -30.1. Let g = -27.9 + b. Is 1\/3 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 40 = 5*q + d, 0 = 69*q - 73*q + 8*d - 100 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - h**2 - 5*h + 4. Let t be y(3). Suppose 0 = 2*r - t*r - 30. Let o = 31 + r. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -20. Let t(g) = 6*g**2 - 2*g + 1. Let h be t(q). Solve -15 = 2*f - h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 16. Let s be (-1)\/(-8) - 1197\/(-152). Let w be f(s). What is the remainder when 29 is divided by (0 - 30\/w)*88\/(-33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4964 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 7*o - 2*o + 2*r, -13*r - 55 = -2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 46 = -5*k, -3*k = -4*c + 45 + 24. Let t be 2\/((-12)\/(-198)) + 1 + -3. Let a = t - c. What is the lowest common multiple of a and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 29440 = -8*c + 106*c. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -1)*(-61 - -60). Suppose -55*q + 38565 + 30075 = u. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*o**3 - 216*o**3 + 149*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32809724, -65619491, -98429258, -131239025?\n\"Answer: -32809767*g + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3*x = 24, -2*x + 3 = q + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + ((sqrt(11) + sqrt(11) + (sqrt(44)\/sqrt(2))\/sqrt(2))**2 - sqrt(11)).\nAnswer: -sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*l**4 + 42*l**4 + 27*l**4 + 2*l**4 + 3*l**3 - 3*l**3 + (6 - 1 - 3)*(-4*l**4 + 5*l**4 + 0*l**4) - 3*l**4 + 6*l**4 - 5*l**4.\nAnswer: 48*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -99*i. Let b(u) = -15*u. Let w(j) = 27*b(j) - 4*v(j). Let g(n) = 2*n + 5. Let s(h) = -h - 2. Let o(p) = 2*g(p) + 5*s(p). Calculate o(w(k)).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 645\/1822 and -336\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -11 + -2 + -3 - (50 - 4)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 8*p**2 + 22*p + 18. Let y be h(-10). Let t(g) = g**3 - 3*g**2 - 1. Let f be t(3). Let k = f - y. Are -2\/5 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12482354209 to five dps.\nAnswer: -0.12482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/104 and 33\/580112?\nAnswer: 580112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 200?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16177\/4 - 4042. Suppose 3\/4*n**3 + 0*n + 0 - h*n**2 = 0. What is n?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkrkrk. What is prob of sequence rk?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -0.06 (b) -7 (c) 1 (d) -3 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36046859 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**8\/840 + j**4\/8 - 3*j**3\/2 - 7*j**2. Let t(l) be the first derivative of w(l). What is the derivative of t(n) wrt n?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b09262 (base 12) in base 13?\nAnswer: 755144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 21*k - 33*k. Solve -k = -5*d - 37 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) -2\/17 (c) -0.079 (d) 0.29 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3192702, -6385407, -9578116, -12770829, -15963546?\n\"Answer: -2*h**2 - 3192699*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 845949, 1691899, 2537849, 3383799, 4229749, 5075699?\nAnswer: 5921649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from psppspsppppppspppp. Give prob of sequence spp.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -22324 and 5.3378.\nAnswer: -22318.6622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.101866875 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5200877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.6 + -1.6. Which is the third biggest value? (a) -9 (b) -2\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -12. Let d = 16 - 11. Suppose d*h - 31 = -6. What is the lowest common multiple of h and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 5324232*y**2 - 5 + 5324233*y**2 + 5.\nAnswer: y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -275\/624 - -6\/13. Let q = 5\/16 + o. Which is the closest to -0.1? (a) q (b) -0.1 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 11. Let c = -34 - -38. What is the second smallest value in m, c, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/90)\/((-3)\/2*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, -3\/5, 2, -5 in ascending order.\nAnswer: -5, -3\/5, 2, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -49681710\nAnswer: -7\/49681710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292199 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 19. Let q(g) = -g**3 - 4*g**2 - 3*g - 1. What is the smallest common multiple of q(-4) and l?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 5*c + 5. Let w be z(-8). Let n = 295 - w. What is a in 0*a + 0*a - 212*a**4 - 164*a**2 + n*a**3 + 16 + 48*a**5 + 46*a**3 = 0?\nAnswer: -1\/4, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*h**4 - 4*h - 5*h**2 - 1174 - 1155 + 2326 to the form x*h**2 + n + a*h + q*h**4 + t*h**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -17 + h + 11 + 13 - 4*h**2 + 0*h - h**3. Let s be i(-4). Let m = 5 + -3. Solve s*n - z = 6, -m*n + 0*z + 2*z = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -2\/3*z**3 + 0*z + 0 - 1\/24*z**4 - 8*z**2. What is the least common multiple of k(-6) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -34, 14, 2, 3, -2 in decreasing order.\nAnswer: 14, 3, 2, 0, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 + 10?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.026952 to four decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 110 - 479*j**3 + 107 - 1540*j**3 - 217 - 2*j**2 as h*j + q*j**3 + d + f*j**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (673\/2)\/((-429)\/(-62634))?\nAnswer: 73, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 720 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110980 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/28, 3, -0.2, 1 in descending order.\nAnswer: 3, 1, 3\/28, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1771*g - 46132. Calculate r(-26).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 (base 8) in base 9?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60597 + 192595 = 8*h. What are the prime factors of h?\nAnswer: 31649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-10))\/1*113619\/(-13772))\/6?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + 1*sqrt(128)) + 5 + (sqrt(162) + (sqrt(162) + -1 - sqrt(162)) + sqrt(162))*-6 + 3)**2.\nAnswer: -1184*sqrt(2) + 43824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 19 + 4 = -5*k, -k - 5 = -5*r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*h = -117 - 45 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 286 + 270 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3 - 2 - 2*z - 1 - 1. What is the smallest common multiple of y(-4) and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10412 divide 204689508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -167 + 152.8. Round v to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 16) to base 6\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -144.37 + -12.23. Let n = 180 + o. Let t = n + -33.7. Round t to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 18*r. Let a(q) = 1289*q - 1. Calculate n(a(j)).\nAnswer: 23202*j - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*d - 26 = -3*k, 2*d + 20 = 5*k. Suppose 4*t = -4*u + 172, -3*t - 2 = -k*t. Let x = u - 35. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 46. Suppose 0 = 5*s - 3*s. Suppose s = 2*a - a - 30. What is the remainder when a is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62\/69975 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 6. Suppose 3*x + 19 = -z, -3*z + x = -0*z + 7. Let u = 0.2 + 0.3. Which is the third smallest value? (a) k (b) u (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**2 - 1735*k - 1604. Let t(s) = 5*s**2 + 1755*s + 1603. Let n(h) = -6*t(h) - 7*u(h). Suppose n(g) = 0. What is g?\nAnswer: -322, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**4 - 11399*c**3 - c + 26149?\nAnswer: 4*c**3 - 34197*c**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 390944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -500*b + 48. Let f(n) = 3*n - 31. Determine f(v(g)).\nAnswer: -1500*g + 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-86670)\/(-2346) + -37 - (-4)\/(-34).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 - 3*a**2 - a - 3. Let k be o(3). Suppose -3*f - k = 5*b - 5*f, -3*f + 14 = -4*b. Let h(n) = 4 - 4*n - 10 + n**2 + 8*n. Calculate h(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/(-3) + 4\/12. Suppose 4*g = m + 15, p*m + 3 + 1 = 2*g. Let s = -3 - -1. Which is the second biggest value? (a) s (b) -0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 1)*(-i - 2*i - i)*(-2 + 0 + 1 - 2*i) as z + d*i**2 + u*i and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 573 + -568. Suppose 8 = -i + 4*t - 7, 0 = -f*t + 20. Is -1\/95 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r - 62294142 = -294*r + 230346220. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o - 145 = -4*o. Which is smaller: 7\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 plus 2427404142233?\nAnswer: 2427404142304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -8) + (9 - 7). Suppose 0 = -t*k + 18 + 352. What is the remainder when 139 is divided by k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 929275*p**3*s**2 + p**3*s - 12*p**2*s + 28*p*s + 39 wrt s?\nAnswer: 1858550*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g**2 + 55*g - 5. Let z be q(-6). Suppose 0 = z*t - 19681 - 22394. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/21 - (5\/(-42))\/(24\/972). Factor 1\/4*h**4 + 2 - 11\/2*h - 2*h**3 + a*h**2.\nAnswer: (h - 4)*(h - 2)*(h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9268 = -3*m + 2*g, -m + 3*g + 3435 = 348. Suppose 26*n - 16*n = m. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 47*b - 52*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 2)*(0 + 2 - 3 + 2 - 4 + 0 + (0 + 0 - 1)*(-1 + 3 - 1) - 1 + 3 - 5)*(-165*u + 111*u + 172*u) as y + b*u and give b.\nAnswer: -826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 414663 to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464183*a - 99*a**3 + 232085*a + 232098*a.\nAnswer: -99*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 220694191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -0.2, -1, 1, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {j: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 637*t**2 + 481*t**2 - 279*t**2.\nAnswer: 839*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5 - 269*r**4 - 4477*r**3 + 10309*r**2 + 4478*r - 10040 = 0. What is r?\nAnswer: -251, -20, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -991315 - 1371*c + 991315.\nAnswer: -1371*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -4 (b) -5 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36861594 to the power of 1\/2, to the nearest integer?\nAnswer: 6071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aan when three letters picked without replacement from {p: 1, a: 10, n: 8}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3) - 56\/6. Let k(m) = -4*m**3 + 8*m**2 - 5*m - 9. Let a be k(n). Round a to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, -5, 985, -13 in increasing order.\nAnswer: -13, -5, 87, 985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d - 1813. Let a(v) = 9*v + 1. Determine a(f) + 3*o(f).\nAnswer: 9*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 25, 68, 149, 280, 473, 740, 1093?\nAnswer: 1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*b - 10 + 5 + 5 as m*b + q and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 0)\/((-2)\/290). Let s = -17215 + 17199. Let c = u - s. List the prime factors of c.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010111011010011100101 (base 2) to base 7.\nAnswer: -113666121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-548)\/(-650) - (-62)\/217*98\/(-350).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.149 - -15786616\nAnswer: 15786616.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, y: 1, n: 5, h: 2, u: 3}. What is prob of sequence uut?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*sqrt(3328) + sqrt(3328) + 1.\nAnswer: -32*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1760*s + 1321 with respect to s.\nAnswer: 1760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5*h - 2 + 15 = 0, 2*j + 6*h + 0*h + 11 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1691 is divided by 105.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 4*v**2 + 3*v - 2. Let r be s(-3). Let f = 16\/217 - -258\/2387. Which is the nearest to -2? (a) 1 (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277984 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -65 (b) 0.08 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 233200512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53059231.\nAnswer: 59, 899309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2772*f**3 - 2172*f**2 + 524*f - 36.\nAnswer: 4*(3*f - 1)**2*(77*f - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 897*f**2 - 60726*f + 125064.\nAnswer: -3*(f - 2)*(f + 108)*(f + 193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 45. Suppose 3*i - 3*s - v = 0, -5*i + 25 = -0*i - s. Suppose -3*u - 119 = -i*g - 21, 16 = 4*u. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((3 + -8 - 2) + (21 - 21))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - a + 20. Let i(h) be the third derivative of h**4\/24 + 5*h**3\/6 - 2*h**2. What is the units digit of i(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -85350 + 421?\nAnswer: -84828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8702 divide 303353544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p - 23*p + 8 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = -4*g - g. What is the greatest common factor of 70 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away 4583?\nAnswer: -4577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b3465 - 3?\nAnswer: -2b3468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/11)\/k)\/(k*k**17*k))\/(k*(k\/(k\/(k**(-1\/6)*k)))\/k*k\/(k\/k**7)))**(1\/9) assuming k is positive.\nAnswer: k**(-1849\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -453.09.\nAnswer: 453.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 444510 (base 6) to base 9\nAnswer: 56186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.484 - -12.484. What is the third biggest value in -1\/51, -1\/7, -4, v?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 292 and 6?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378328 divided by 94582.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1976, 3956, 5936?\nAnswer: 7916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1747382974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 16) to base 3.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 + -46. Let o be (5 - (a + -1))\/1. Let x(q) = -q**3 - 9*q**2 + 10*q + 6. What is x(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1065177396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u = -27*u - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, x: 4}. What is prob of picking 2 m?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iigcigcg. What is prob of picking 1 i and 3 g?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698640626?\nAnswer: 2, 1033, 338161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3673149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -48*f - 18. Let w(i) = -16*i - 6. Let n(d) = 6*r(d) - 17*w(d). Let b(a) = -3*a - 1. Let m = -137 + 115. Calculate m*b(o) + 4*n(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/2674 and 41\/2116662.\nAnswer: 14816634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 9*f + 39. Let h be v(3). What is the third derivative of 9*p**2 + 0*p + 22*p**2 - 195*p**h - 5*p**2 + 0*p wrt p?\nAnswer: -1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -172 + 175. Put q, -0.1, 2 in increasing order.\nAnswer: -0.1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5023?\nAnswer: 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1558138.\nAnswer: 2, 779069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-108)\/(-48)*(-2)\/(-3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18755, -4, -3.\nAnswer: -18755, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 36*v**2.\nAnswer: -3*v**2*(v - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*v + 0*v = 0, z = 4*v + 5. Let y be (-51)\/(-12) - z\/4. Suppose 2*j + y = 46. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = n, 4*f - 4*n + 0 - 16 = 0. Suppose 0 = -20*m + 16*m. Suppose 3*j = -m*j + v - 13, 5*v = -5*j + 5. What is the biggest value in 4, f, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27053 by -13.\nAnswer: -2081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.98 - 7.69. Let j = -1.01 - n. Let b = j + -15.6. What is b rounded to 0 decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2899755.\nAnswer: 3, 5, 64439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11822, -2\/11, 1?\nAnswer: 11822","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1626.\nAnswer: 2\/813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 11*f + 14. Let z(i) = -20*i - 23. Let n(u) = 7*m(u) + 4*z(u). Let y(a) = -5*a + 11. Let x = 16 - 9. Determine x*n(h) - 4*y(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-60))\/(0 + 2\/(-3)). Which is the closest to -2\/7? (a) 12 (b) 50 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8431669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -156.3 - -156.6. Let q = 1.1 - 1. What is the nearest to n in 0, q, 15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15102 + 40143?\nAnswer: 55245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8252066, -8252064, -8252062, -8252060?\n\"Answer: 2*v - 8252068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 7:16 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**5\/7 + 569*o**4\/7 + 1006*o**3\/7 + 289*o**2\/7 - 144*o\/7 = 0.\nAnswer: -1, 0, 1\/4, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 1324*a + 6432. What are the prime factors of y(7)?\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3\/10)\/((u\/(u**(-6)*u))\/u) assuming u is positive.\nAnswer: u**(-53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.68, 2, -0.2, -0.18, 0.1, 3 in decreasing order.\nAnswer: 3, 2, 0.68, 0.1, -0.18, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -0.0469, 2\/9, -0.1, -3\/13, 0.2, -21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*j - 98*j**3 + 184*j + 177*j.\nAnswer: -98*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 + n - n + (n + 3 - 3)*(-2*n + n**2 + 2*n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15480 = 5*r - 50210. List the prime factors of r.\nAnswer: 2, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0467311 + -0.044587. What is l rounded to five dps?\nAnswer: 0.00214","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196107181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485*g + 150 = -510*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 12907*t + 12646. What is k(-1)?\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*i = -36, -3*k - 2*i = -i + 8. Let g be k\/6*(-12)\/2. Find the third derivative of 3*o**2 + o**2 - 5*o**4 + 0*o**g wrt o.\nAnswer: -120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2877*z**2 - 8226*z + 113547578 wrt z.\nAnswer: 5754*z - 8226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022110120000 (base 3) in base 16?\nAnswer: aa6ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 33 - 15 + z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 7:00 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2702821684 to the power of 1\/2, to the nearest integer?\nAnswer: 51989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 3\/2*i**2 + 0*i + 3. Let x(l) = 2*l + 4*l + l. Calculate -9*n(z) + 4*x(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*l + 20*l + l)*(1 - 2 + 0)*(-1 + 2 + 0) as k*l + s and give k.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((3 - 18) + 4).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 353*j**6\/6 + 5*j**2\/2 - 14*j + 181. What is the second derivative of l(b) wrt b?\nAnswer: 7060*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*w + 27*w + 49*w + 25*w as g*w + v and give g.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -67014, -134087, -201196, -268341, -335522, -402739, -469992?\n\"Answer: -18*p**2 - 67019*p + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -2. Suppose 0*y - 35 = 5*y + 3*q, -5*y - b*q - 45 = 0. Let o be 3\/(-12) + (-1)\/y. Solve o = 4*v - 0*v + 3*x + 9, 2*v + 10 = 4*x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 11 - 11 + 2*t. Let j(g) be the second derivative of -19*g**4\/12 + 4021*g. Give j(w(p)).\nAnswer: -76*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -13650?\nAnswer: -13648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 11:46 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12259975009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 532624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 - 10*z - 4. Let f be u(-5). Let g(v) = 24*v**2 + 33. Let b(s) = 3*s**2 + 4. Calculate f*g(a) + 33*b(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 34 = -y, y - 12*w + 55 = -10*w. Suppose -3*t = 48 + 165. Let z = y - t. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 11*t**2 - 20*t - 19. Calculate a(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14122054*h**2 - 215512*h + 50 wrt h?\nAnswer: -28244108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63.17 - 0.165.\nAnswer: -63.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -14*i - 1. Suppose -4*l = -l + 3. Is 13 a factor of w(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -0.05, -2\/7, -5\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -245 or -241?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-5))\/((-190)\/(-950))*(1 + -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and (67 + -63)*14\/8 - -607.\nAnswer: 6140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 17*h = -280. Which is greater: -72\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*g - 78*g + 7 = 0. Is 4 a factor of 891\/12 - g\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148380, -296756, -445132, -593508?\nAnswer: -741884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mewew. Give prob of picking 2 w and 2 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*p**2 - 45 - 5*p + 45 + 2*p as q + v*p**2 + x*p and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/14 and 55\/26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -108.295 - -108. Let x = w - 1.235. What is x rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 6323 = 5*a - 13702, 0 = a - 5*r - 4026. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*j**5 - 48762*j**3*z - j**2 - 2*j*z + 19*j + 562*z - 13 wrt j?\nAnswer: 200*j**3 - 292572*j*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 + 1 = 0. Calculate the greatest common factor of 22 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387035 is divided by 898.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2848 = -12*v + 6116. Let r = v - 1495\/2. Which is the closest to 0.24? (a) 3\/2 (b) -2\/3 (c) -0.1 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -35*b**2 - 6*b. Let h(z) = 142*z**2 + 27*z. Let k(j) = 2*h(j) + 9*q(j). Let v(n) = -n. Give k(v(g)).\nAnswer: -31*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.0801 * 2.9\nAnswer: -0.23229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5593896 and 55440.\nAnswer: 55938960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 192041818*y**2 - 130301969*y wrt y.\nAnswer: 384083636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 15 = 0, 10 = -i + 3*a - 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -342*z**3 + 890*z**3 - 8*z + 5*z + 4*z to i*z**3 + u + p*z + h*z**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*f + 6*f = -18865. What are the prime factors of f?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2339857 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 10:39 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9087 (base 13) to base 7\nAnswer: -111654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*h - 52*h + 3*n - 190 = 0, -5*h + 3*n + 278 = 0. Calculate the greatest common divisor of h and 1586.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192933 divided by -291\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.573 to one decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8353 = 2*m + 5*n, -3*m + 20893 = 2*m + 2*n. Suppose 0 = q - b - 6130 + 1945, -q - 2*b = -m. Suppose -5344 = -7*r + q. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5085042, -5085038, -5085032, -5085024, -5085014, -5085002, -5084988?\n\"Answer: p**2 + p - 5085044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**3 + h**2 + 565. Let c(y) = -y + 6. Let o be c(9). Let t(u) = -u**2 - u. Determine o*j(f) - 6*t(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**3\/3 + z**2 - 2*z. Let c be (0 + 3 + -3)\/(-2). Suppose -l + 4 - 1 = c. Give o(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**5 - 328128*u**4 + 1968672*u**3 - 3937280*u**2 + 2624832*u.\nAnswer: 4*u*(u - 82026)*(u - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 994, 363, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1708467?\nAnswer: 3, 211, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (10 + -4)) + -5 + (1 - -437077) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24206.94 millennia to months.\nAnswer: 290483280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 + 53*c**3 - c**3 - 8*c**3.\nAnswer: 51*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*t = -7*v - 2, -18 = v + 4*t. Let u(k) be the third derivative of 8\/15*k**3 + 0*k - 2*k**v - 1\/15*k**5 + 0 + 4\/15*k**4. Factor u(i).\nAnswer: -4*(i - 2)*(5*i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -398100 to the nearest 10000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 30. Suppose -9 = -k*z + 3103. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3066*d + 18391. Determine n(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -5, -1, 4 in ascending order.\nAnswer: -24, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -14 + 15 + 9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*i = -5*j - 2, 2*j + 4*i - 2 = 0. Let r(t) = t**3 - 3*t**2 - 3*t - 2. Let u be r(4). Suppose 0 = p + 3 + 1. Sort j, u, p.\nAnswer: p, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 228 and 8816.\nAnswer: 26448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75954263 and 42.\nAnswer: 455725578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -889000000434 + -544.\nAnswer: -889000000978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**3 - 12345*q**2 - 10159935*q - 2787208835 = 0. Calculate q.\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/6*(-27)\/6. Let w(b) be the second derivative of 2*b**3\/3 + 3*b**2 - 45*b. Does 3 divide w(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -46, 0.1, 18\/17, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 + 5 - 4)*-5. Suppose 5*v + g = -0*v. Which is smaller: -17 or v?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4376720887.\nAnswer: 7, 11, 47, 109943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, 17.8, 1\/2, 0.3, -1 in decreasing order.\nAnswer: 17.8, 1\/2, 0.3, -0.08, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/115050 and -67\/19175.\nAnswer: 115050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4394897939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 77951*r - 77948*r - 81, r - 27 = 5*i for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**3 - 2*h**2 + 2*h - 5. Let j be z(2). Suppose -3 = 4*b - j. Sort b, -36, -1 in increasing order.\nAnswer: -36, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -259 + 295. What is the remainder when 179 is divided by r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from vvcxbtvv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 34 (b) -0.2 (c) -1\/2 (d) -1\/7 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 11 = -3*y + 8, 2*d = -2*y + 18 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1116 and 121\/372?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1417, -1350, -1239, -1084, -885, -642?\n\"Answer: 22*h**2 + h - 1440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - a**2 + 2*a - 8. Let f = -65 - -62. Give b(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15\/2*z - 1\/2*z**3 - 9\/2*z**2 - 7\/2 = 0. Calculate z.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -20. Let t = -5.98 - w. Let l = t - 3.02. Which is the third biggest value? (a) 0.1 (b) l (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 4*z + 0*z + 174 - 29 in the form j + v*z and give j.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1763\/2*(-21696)\/(-466464)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -823*p - 37 = -839*p - 5*c, 3 = -p + 5*c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1. Let p(w) = 3*w - 9. Give -p(a) - 15*v(a).\nAnswer: -3*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*n - i, 0 = -4*n - 3*i + 8. Suppose 4*t = 4*o + 14 - n, -o = -5. Solve -3*d = d - 4*m - t, d - 4*m = 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2\/125 of a kilogram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3) - 264\/(-18). Let p be ((-6)\/k)\/(1\/(-5)). Solve v**2 + 3 - 2*v**2 - p = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2136\/264 - -14 - 1\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -132 - -131. What is the fourth smallest value in -0.4, -2\/11, x, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z**2. Let m(d) be the second derivative of -119*d**3\/3 - 601*d. Give m(t(u)).\nAnswer: -1428*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**3 - 25*g**2 + 4*g + 16. Determine r(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 3.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47.29 + 47. Let i = 15.29 + g. Let w = 14.7 - i. Which is the smallest value? (a) w (b) -1\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82580, -82606, -82632?\nAnswer: -82658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y**2 - 2*y**6 + 5*y**6 - 5*y**6 wrt y?\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/(-4) - -6)\/(2\/1160). Let s be (-194038)\/(-224) + (-18)\/42. Let i = p + s. Calculate the common denominator of 55\/32 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59750 and 8599220.\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -h + 96, -j + 9*h = 4*h + 30. Let y = 26 + j. Is (-1)\/(0 - 1) - y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (69\/46)\/(3\/(-2)). Suppose 0 = -w - 6 - 1. What is the units digit of 9 + s - (8 + w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 4\/1043, 6, 2.5, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6 - (-278)\/6. Let z = d - -12. Calculate the remainder when 117 is divided by z.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109*1.9044\nAnswer: 207.5796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 16*a + 6 + 6*a.\nAnswer: 22*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14938982*d**2*t**2 + 2*d*t**2 - 5440*d*t - 7*d + 2*t**2 - 6 wrt d.\nAnswer: -29877964*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + r**2 - r - 1. Let f(m) = -4*m**3 + 5*m**2 - 622*m - 5. Give f(v) - 5*x(v).\nAnswer: v**3 - 617*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/162 and 53\/10?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 2*f - 6 - 10.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9081440 divided by 567590?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 + 51. Let m = 16 - u. Let a(i) = 0*i**2 - 9*i**2 - m + 5*i**2 + i - 9*i**2. Give a(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143039947 is divided by 4331?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1691512 and 1231282.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4703.353 minutes?\nAnswer: 282201180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttmtmm. 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: Solve 0*j - 935677*f + 935681*f + 85 = 5*j, -2*j - 4*f - 106 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**2 + 84*v - 272 = 0.\nAnswer: 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 10*b**2 + 14*b - 10. Is o(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-35)*(-9)\/((-54)\/(-21)). Which is the closest to 0? (a) -0.03 (b) n (c) -11\/4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987.8222 centuries to decades.\nAnswer: 9878.222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*z + 22*z + 18*z = -143 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/40)\/((-14313)\/16515)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43172892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -100?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 1, 4, -4, 3816, -3 in descending order.\nAnswer: 3816, 25, 4, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2661456.\nAnswer: 2, 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 4*z - 0*y - 21, -5*z - 15 = -2*y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + m**2 + 15*m**2 + (m - m - m)*(2*m - 2*m + 2*m).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b**3 + 56*b**3 - 57 - 45*b**3 + 28 + 23.\nAnswer: -4*b**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (28\/10)\/((-2)\/(-70)). Suppose 0 = 5*h + 101 + 19. Let a = -10 - h. What is the highest common divisor of a and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b + 22150 = 278107. Suppose -6*h - 1967 = -b. What are the prime factors of h?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**2 - 607*x - 20112. Calculate z(-101).\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 5203\/(-275) - ((-549)\/305)\/((-10)\/106)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8006849*l**3 + 49821*l - 427 wrt l.\nAnswer: 48041094*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3287*n + 84918*n + 86227*n - 14762*n.\nAnswer: 159670*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 136844 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: Find w, given that 536\/9*w - 17956\/9 - 4\/9*w**2 = 0.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adddddddadd. Give prob of picking 4 d.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) -0.2 (c) -1 (d) 2\/29 (e) -34 (f) 2\/3 (g) 0.04\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 0 + 4*q**2 + 1\/3*q**4 + 0*q - 1\/3*q**3. Differentiate f(u) wrt u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - 5d1d59?\nAnswer: -5d1d4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2. Let s(b) = -44 + 92 + 13*b - 43. Determine l(s(x)).\nAnswer: 338*x**2 + 260*x + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v - 81 = 276 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**4\/24 - 6*n**2. Let q(v) = 0*v + v - 3*v. Give q(r(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -511 + 507. What is the third biggest value in 3\/8, -0.4, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111221211121211 + 1?\nAnswer: 111221211121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 342 and 741.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4136 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/712 and -53\/429158.\nAnswer: 1716632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 2*m**2 - 2*m**2 + m**2 - 4*m**2 + 4*m**2 + (3 - 3 + 3*m)*(-3*m + 3*m + m) - 2*m + 2*m - m**2)*(243*m**2 + 2 - 243*m**2 + m**3 - 7*m).\nAnswer: 4*m**5 - 28*m**3 + 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 1008*i + 53319. Determine j(-56).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/2, 5\/3, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 4*d + 4, 9*j - 5*j = -16 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000199728 rounded to six dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 3 + -4)\/((-1)\/(-2)) - 0. Let i(f) = -13*f**3 + f**2 + 5*f - 4. Let x(j) = -6*j**3 + 2*j - 2. Determine p*i(u) + 5*x(u).\nAnswer: -4*u**3 - 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53)\/8*(-4)\/(-2)*(-39)\/(3276\/336).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25075448 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/7)\/((g\/(((g**(-7)*g)\/g)\/g))\/g))\/((g*g\/((g*g*g\/(g*g**(2\/15)*g)*g)\/g))\/(g*g*g*g*(g\/(g**(-7)\/g))\/g)) assuming g is positive.\nAnswer: g**(316\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 29*r**2 + 13*r - 4. Let k(d) = -16*d**2 - 7*d + 2. Determine 4*j(c) + 7*k(c).\nAnswer: 4*c**2 + 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 34.01 and -6384 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10256 - -10258. Solve 4*w + 8 = s*c, 4*w = -44*c + 42*c - 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1.1, 6, 2 in increasing order.\nAnswer: -1.1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 162 and 0.8.\nAnswer: 129.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15345 minus -5?\nAnswer: -15340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 9*s - 1. Let m = 0 + -7. Let a be d(m). Suppose -t + 3 = 2*h + 2*t, -5*h = 2*t - a. What is the greatest common divisor of 21 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/3 (b) 1\/6 (c) -2\/15 (d) -0.04 (e) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 2*l - 11, 4*k + 3*l = 5*k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/(-2)*(-6)\/9. Solve 86*i = 82*i - d + 8, 0 = -3*i - 4*d - w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.02565 and 1.46?\nAnswer: -1.497449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3405720\/(-55752) + (-4)\/(-46).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of ((-2269120)\/(-45))\/14 - 4\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w**3 + 4*w**3 - 5*w**3)*(-8*w + 14*w - 25*w + 1) in the form m*w**3 + u*w + h*w**4 + i*w**2 + o and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002 + 2321003011?\nAnswer: 2321002003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 + 20*h**2 + 106*h + 1147. Calculate a(-12).\nAnswer: -701","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1037 = -109*g + 48*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3\/7 + 248*q**2\/7 + 9508*q\/7 + 9256\/7.\nAnswer: -4*(q - 89)*(q + 1)*(q + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6884*s**2 - 8252 - 727698*s + 727698*s wrt s?\nAnswer: 13768*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = 3*m - 4*c - 3 - 1, 13*c - 17*c + 3 + 17 = -6*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 57e3 - 14?\nAnswer: 57cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26180 and 96.\nAnswer: 628320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**6\/3 - 5*p**2 - 4. Find the second derivative of x(n) wrt n.\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 6*x**2 - 10*x + 6. Let v(o) = o - 1. Let m(t) = -p(t) - 4*v(t). Let k be (5 - 2)\/(24\/(-15) + 1). What is m(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*x = 121*x - 2380. Let j = x - 155. What are the prime factors of j?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4\/99 + 26\/99. Let n = 0.7 + 0.3. What is the smallest value in 3\/5, b, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 484.8059 to 0 dps.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighteenths of a week in minutes?\nAnswer: 3920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) -3 (b) -6\/5 (c) -0.59 (d) -0.4 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4742321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**4\/60 + 2*b**3\/3 + 91*b**2\/10 + 12*b - 37. Find h such that j(h) = 0.\nAnswer: -13, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 180.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 1 - 3*-1414. Let g be ((-1)\/(-3))\/(14\/k). Suppose 4*d = g + 131. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -808 + -4?\nAnswer: -813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.9 + -1.1. Let t(q) = q**3 + 110*q**2 + 5*q + 552. Let k be t(-110). Which is greater: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -18, -891, -5, -4 in descending order.\nAnswer: 16, -4, -5, -18, -891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -9*v + 11*v. What is the greatest common divisor of 408 and v?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.380051 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/34560 and -133\/28032?\nAnswer: 2522880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 221349 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 675 - 887 + n)*(2 + 0 - 6).\nAnswer: -4*n + 848","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3387429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5345 at least as big as 13442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -240 + 292. Calculate the remainder when 206 is divided by q.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 4*s + 4*p + 30, -s - 2*p = 6 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-96)\/(-42))\/(-8) - (-228)\/14. Solve 11 = -4*v - q, 14*v - 9 = y*v - 3*q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 7*q**2 + 2*q - 4. Let r be k(7). Let i = 8 - 11. Let g be (-3)\/2*r\/i. Which is greater: g or 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 119008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*c = 33*c + 1365438 + 722226. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c1780 (base 15) in base 6?\nAnswer: -141542503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101386 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4, 2*v + 18*d = 19*d + 20. Let p = -18 + 13. Sort 1, p, v in ascending order.\nAnswer: p, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -14, 3, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 + 2*y - 2. Let h(w) = w**2 - 11*w + 30. Suppose 52 = -6*m + 19*m. Let p be h(m). Give r(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 8:00 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/65 and -14\/39?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16611*p = -17747*p - 40896 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4621 is divided by 811.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 961 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -3. Let o = 10 - d. What is the remainder when 23 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6254517, 9, -5 in decreasing order.\nAnswer: 9, -5, -6254517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8400*n**4*v**2 - 9*n**3*v**2 + 200*n**2*v + 4*n*v**2 - 13*n*v + n wrt n?\nAnswer: 201600*n*v**2 - 54*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1201643450 to the nearest 100000.\nAnswer: 1201600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 3325?\nAnswer: 3325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 7*n - 15. Let p = -13 + 22. Let b be r(p). Solve 0 = 2*j + j + b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*q = 67*q + 20*q + 516, 0 = -5*t + 4*q - 39 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 1, n: 2, f: 1}. What is prob of picking 1 f and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cgccgcccggccccgc.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -35*r + 360. Suppose -11*z - r = -48. What is the lowest common multiple of z and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i\/i**4))*i*i*i\/(i\/(i*i**(-2\/13)))*i**(-1\/4)*i**(-3)*(((i**0*i)\/i)\/i)**(-2\/57)*i**(1\/6)\/i**(-2\/3) assuming i is positive.\nAnswer: i**(-2505\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (304\/(-24)*-6 - -12) + (-13 - -4) + -5.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*z = -8, -4*s - 2*z = -z + 3. Which is smaller: 6\/13 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 28. Let w be -23 - (-1 - l - 5). Let v = w - -66. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.1543.\nAnswer: -0.03086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i + 3*i + 4*i to y*i + l and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 - -9.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 159?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*f**3*q**3*v**3 + 5*f**3*q**2*v**2 - 65*f*q**3 - f*q**2*v**2 - 16*q**3*v**3 - 3*v**4 wrt v?\nAnswer: -60*f**3*q**3 - 96*q**3 - 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isiiiiiisii. What is prob of sequence iii?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by 12\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 50*d**2. Let x = -45 - -47. Let z(v) = -2*v - x*v - 8*v + 10*v. What is i(z(u))?\nAnswer: 200*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*u + 21*u + 34*u + 28*u - 115*u - 18*u**3.\nAnswer: -18*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 8*k + 642. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 6*v**2 - 6*v - 7. Let z be y(-5). Let j be 2558\/14 - z\/7. Suppose x = -g + j, 2*g = x - 5*x + 364. Is g a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**8\/140 + 7*s**6\/180 + 28*s**3\/3 - 22. Let z(y) be the third derivative of h(y). Find the third derivative of z(a) wrt a.\nAnswer: -288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/3*3*2. What is the remainder when 23 is divided by ((-12)\/(-8))\/(3\/v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(21)\/sqrt(3) + 5 + -1)**2 + sqrt(35)\/sqrt(5) + -1 + (sqrt(7) - (2 + sqrt(7))) + -1.\nAnswer: 19 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 41. Let u = v + 19. Let h be (-10)\/u*3\/45*-2. Is h < -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - 5*g + 4*g)*(g + g**2 - g) + (-4 - g + 4*g + 2)*(0 + 0 + 2*g**2) + 2*g**3 + 2*g**3 - 5*g**3 as z + a*g**2 + x*g + r*g**3 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 1. Let y(x) = 2*x - 7. Let b(n) = 4*h(n) + y(n). Suppose k + 4 = -k. What is b(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 15*z**2 + z + 15. Let u be h(-15). Suppose 6*o - o - 80 = u. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.7 - -16. Let h = s + -5.3. Which is the second biggest value? (a) 1\/6 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 6*m**2 - 2*m - 7. Let w be 4\/5*15\/6. Let h = -4 - w. Let s be n(h). Solve s*o - 4*q = -9*q + 15, -4*o - 3 = q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7*a - 6. Let r(f) = f. Suppose -7209 + 7194 = 15*p. What is p*o(d) - 5*r(d)?\nAnswer: 2*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**6\/120 - i**5\/10 - i**4\/3 + 3*i**3\/2 - 5*i**2. Give h(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3) + 4 + (-3 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -65*o**4\/2 - 7*o**3\/6 + 37*o**2. Is f(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -332 + 637. Let i = u - 304.99999771. Round i to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 825 and 12759225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*y + 141*y - 4624 + 34913 = -8981 for y.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1550*x**2 + 1575*x**2 - 5*x + 5*x.\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -832 = -5*f - 3*f. Calculate the highest common factor of f and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43819 * 0.3\nAnswer: -13145.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 - y**3 + 3*y**2)*(-y + 2*y - 3*y) - 3*y**4 + 2*y**4 + 3*y**4 - 30*y**2 + 0*y**4 + 26*y**2 + y**4.\nAnswer: 5*y**4 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528247334?\nAnswer: 2, 264123667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 64*g**2 + 495*g + 22. Let t be p(8). Put -3, 9, t, 3 in ascending order.\nAnswer: -3, 3, 9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203991298 a multiple of 521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*h - 2*j - 0, -h + 11 = 2*j. Suppose h*s - 3*x + 0*x = -5664, 2*s + 4*x = -3788. What is s rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaazaazzzaaaaaaaa?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28256 or 28254?\nAnswer: 28256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 35 = 5*d, -4*g - 20 = -6*g + 4*d. What is the highest common factor of g and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214 (base 6) in base 4?\nAnswer: 10222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5624)\/(-12654)*2*(-2)\/8\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/7 and 71\/16279466.\nAnswer: 16279466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*a + 182 = -55, p - 60 = 5*a. Calculate the remainder when 178 is divided by p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/3)\/((-6)\/(-36)). Suppose 5*i + 42 + 115 = p*s, 15 = -5*i. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026 divided by 346?\nAnswer: 513\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 1, -25, 7 in descending order.\nAnswer: 7, 1, -2, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 99490 rounded to the nearest one thousand?\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21\/6)\/((-9)\/18). Let b be 28\/98 - 131\/s. Let d(z) = b*z - 14*z - 8*z. Let k(j) = 5*j. Give d(k(m)).\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 6. Let b = 2 + i. Solve -b*t - 21 = 4*l - 0*t, -4*t = l + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766907?\nAnswer: 766907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 4 = -2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 9*v**2 + 19*v + 8. Let h be o(15). Let y = h + 1963. Suppose -5*n - n + y = 0. What are the prime factors of n?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 87 + 54*j**3 + 5*j**2 - 2*j**2.\nAnswer: 54*j**3 + j**2 + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/23 in -2834, -6, 4, -174?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4\/s**(2\/5))\/((s*s*s**(-1\/3)\/s*s)\/(s\/(s*((s\/s**5)\/s)\/s)*s*s))*(s*s**(-2\/3)*s\/(s*s**7\/s))\/(s*(s*s**(-1\/4))\/s)**36 assuming s is positive.\nAnswer: s**(-341\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.1. Suppose 5 = g, 0*i + i + 4*g = 17. Which is the closest to o? (a) i (b) -2\/15 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**5\/5 + 4*s**4\/3 - 2*s**3 - s - 15. Factor d(o).\nAnswer: -4*o*(o - 3)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 + 171*s - 9. Determine j(-57).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Suppose 141*q = 136*q + 125. Suppose -28*m = -q - 59. Solve -j*b - 25 = -m*h, 0 = h + 2*b - b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 5*d**2 - 7. What is k(-4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 207543, 207539, 207525, 207495, 207443, 207363, 207249, 207095?\n\"Answer: -t**3 + t**2 + 207543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/3 - 32*t\/3 - 16.\nAnswer: -4*(t + 2)*(t + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 48 + 3. Solve r - z = -2*r, -2*j = 4*r - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 3. Let i be c(0). Let r be ((-2)\/(-6))\/(i\/45). Suppose x = 4*k - 16 + 3, -r*k = 3*x - 29. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + 2754 - (6 + 2\/(-1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -748*-0.1\nAnswer: 74.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24306091.\nAnswer: 1427, 17033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-20)*(-17 - (-8 + -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 28 = 5*k, 3*s - 4*k + 24 - 2 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.81 take away 2.28?\nAnswer: 14.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 times -0.32?\nAnswer: 0.0576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -4*m - 219 + 195, 20*i + 4 - 44 = -4*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 127*x - 12724. Let s be k(100). Let r be 1 + -1 + 2 + -4. Sort r, 2, 1, s in descending order.\nAnswer: 2, 1, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1236272, 9890154, 33379262, 79121210, 154533612, 267034082, 424040234, 632969682?\n\"Answer: 1236269*t**3 - t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4\/3309, 9 in descending order.\nAnswer: 9, -4\/3309, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -276504*i*m**3 + 7*m**3 - 288*m + 11 wrt i.\nAnswer: -276504*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 3 = -22*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344850 divided by 2299.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81\/214 + 13\/107. Sort n, 16.8, 1\/3, -0.17.\nAnswer: -0.17, 1\/3, n, 16.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3514 - 213699?\nAnswer: -217213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3 (b) 184 (c) 6\/5 (d) 4\/9 (e) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4559698 is divided by 43.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-3)*3602)\/(168\/1260) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32807350 is divided by 232.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*t**3\/7 + 2219444*t**2\/7 + 17103497840*t\/7 - 950242276.\nAnswer: 4*(t + 15413)**2*(18*t - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6832, -6946, -7060, -7174, -7288, -7402?\n\"Answer: -114*w - 6718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*y = 62*y + 1416 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4*(27 + -27))\/(-1). Suppose 2317 = 3*k + n, q = 5*k + n - 0*n - 3861. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -78 + 42 - 113*v - 42*v + 50*v - 73*v in the form l*v + t and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -w - 14. Is 13069\/35 + w\/(-5) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/(sqrt(10)*1) - (-2*sqrt(90) - sqrt(90))\/sqrt(10))\/(1*sqrt(9)\/sqrt(3)*2))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 224\/(-4)*(-1)\/(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**5\/60 - v**4\/3 - 7*v**3\/6 - v**2\/2 + 2. Let d(u) be the second derivative of a(u). What is d(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + 0*v**3 + v - v**3)*(447 + 595 + 2588) as f*v + p + m*v**2 + g*v**3 and give f.\nAnswer: -3630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 0)*(-4*p**2 - p**2 + 6*p**2) + p**2 - 4*p**2 - 35*p**2)*(46*p**3 + 42*p**3 - 5*p**3).\nAnswer: -3320*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.391407ml to litres.\nAnswer: 0.007391407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*o = 20, 4752*o = -u + 4750*o + 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26187.5 and 0.08.\nAnswer: 2095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 3:02 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 7636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*q + 764 = -4613 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/2 - (1 - 4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 2*v - 3. Let s be d(-2). Suppose 9*i - 4*i = 3*q + 39, s*q = -15. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 2:42 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by (40\/(-14))\/((-9)\/63)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 8535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 0.3 (c) -2\/5 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 10 = 14*n. Suppose n*w = 2259 + 3886. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43578359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u - 87. Give q(-17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - 1*(sqrt(121) - sqrt(121)*-2))\/(sqrt(1331)*2).\nAnswer: -sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533978?\nAnswer: 2, 313, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*b = -286 - 374. Suppose 38*q = -b*q + 689. Let f(j) = 4*j + 1. Let x(t) = -9*t - 3. Determine q*f(i) + 6*x(i).\nAnswer: -2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f. Let l(y) = -174*y. Determine l(a(b)).\nAnswer: -696*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 334 + -333.9. Which is the nearest to -0.39? (a) o (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*o**2\/5 + 1077456856*o\/5 + 1480756730282404\/5 = 0. What is o?\nAnswer: -19240301\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 41*p**2 + 35*p + 201. Calculate a(40).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 4)*(0 + 0 - y) + y + 2*y - 5*y)*((-2 + 4 - 3)*(-1 + 1 + 2*y**3) - 6*y**2 + 6*y**2 - 3*y**3).\nAnswer: 15*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**7*r*r**5\/r*(r*r**1*r)**(2\/5) assuming r is positive.\nAnswer: r**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(114)*-1 + sqrt(114))*4)\/(5*4*sqrt(18)\/sqrt(3))*-2.\nAnswer: 6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**3 + 1490*u + 26059 wrt u.\nAnswer: 6*u**2 + 1490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44450741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/3 of a hour in minutes?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1750 + 5680 + 111)*(k**3 + 0*k**3 - 2*k**3).\nAnswer: -4041*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 2*u + 2*u)*(-1 + 0 + 2)*(67 + 88 + 28) to q + h*u and give h.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -17*w**3 - 4*w - 9. Let m be r(-3). Let p = m + -2785\/6. Find the common denominator of p and 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 4*k**2 + 2*k - 4. Let h(a) = -a**2 - 3*a + 4. Let p be h(-3). Let z be r(p). Let c be (-5)\/(10\/z) - -3. Is 2 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3747.9 to the nearest 100.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -0*f - 20. Suppose -2*a + 3 - f = 0. Let p(t) = 0*t + 2*t - t. Let l(s) = s**2 + 2*s + 1. Give a*l(b) + 2*p(b).\nAnswer: -b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 149*v**2 - 1048*v - 26632. Determine g(-79).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.67521 millennia to years.\nAnswer: 26675.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 - -2. Let k = 0.9 - h. Which is the second biggest value? (a) k (b) -0.4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**5 - 7*b**4\/4 + 4*b**2 + 2983*b. Let u(x) = -7*x**3 + 7*x**2 - 3. Give 3*k(a) + 8*u(a).\nAnswer: 4*a**3 - 7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 154510856 to the power of 1\/3, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - -2*sqrt(1470)) + sqrt(30))\/(sqrt(30)\/sqrt(3)*4 + sqrt(10)).\nAnswer: 16*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/5*(-115)\/(-138).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81256674 by -40246.\nAnswer: -2019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2.460039 meters?\nAnswer: 246.0039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1155, -3.68, 1\/4.\nAnswer: -1155, -3.68, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -1560*x + 11. Let y(a) = -521*a + 4. Calculate -3*b(v) + 8*y(v).\nAnswer: 512*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -1 - (-10 + 5). Let g(x) = -5*x + 3*x - 1 + 3*x. List the prime factors of g(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*r = -142, -9*r + 8*r - 630 + 1565 = 26*w for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*y**2 - 41*y**2 - 48*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 5*x**2 + 1. Let c(v) = 3*v**3 - 57*v**2 + 28*v - 2. Give c(k) + 2*u(k).\nAnswer: k**3 - 47*k**2 + 28*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 176079 > 176083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (2 + -12 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.89 + 4.81. Which is the smallest value? (a) 0.3 (b) -7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39344 + 233934 = 10*w. Suppose -77*g + 66*g = -w. List the prime factors of g.\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 0 + 2 + 1 - 4 + 6*i. Suppose -39*y = -37*y + 6. Let j be -3 + (2\/y*-3 - -2). Calculate v(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 7, 34, -17, 16.\nAnswer: -17, -3, 4, 7, 16, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 2*k - 3*f, 0 = -2*k - f - 0*f + 65. Suppose 0 = -8*g + 4*g + k. Suppose 456 = 14*a - g*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 9*a - 6. Let c be r(4). Let w be 264\/45 - (-4)\/c. Solve 0*g - w = -3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/6*(-20)\/(-15). Let j = 14 + t. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 623687\/639720 + 1\/15993. What is the common denominator of j and 6\/20*(-118)\/(-15)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, c: 6, i: 4}. Give prob of picking 1 r and 3 c.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*v - 145 = 0, -2*d - 3*v = -43 - 4. Find the third derivative of -d*y**4 - 93*y - 3*y**2 + 89*y - 13*y**4 - 5*y**2 wrt y.\nAnswer: -1056*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4334 + 4?\nAnswer: 4343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -801*i + 810*i = 495169 - 92977. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -746\/7 or -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2939247, 2939236, 2939223, 2939208, 2939191?\n\"Answer: -m**2 - 8*m + 2939256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 487 - -18. Solve q*k + 10 = 507*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*i**4\/5 + 1596*i**3\/5 + 6124*i**2\/5 - 924*i + 160 = 0. Calculate i.\nAnswer: -40, -5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12, -7, 0.\nAnswer: -7, 0, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1.609 times -4\nAnswer: -6.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1691256365, 1691256367, 1691256369, 1691256371?\nAnswer: 1691256373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 468490811?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 54, 136, 250, 396?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 2:19 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 138 in 128, -2\/9, 3?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 19, 2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(7\/4)\/(m*m*m**(7\/3)))\/(m**(-5))**(-8) assuming m is positive.\nAnswer: m**(-511\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8278.951 kilograms to tonnes.\nAnswer: 8.278951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2) + 4)**2*5 + 5.\nAnswer: 80*sqrt(2) + 335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27161\/(-33) - 130\/(-2145). Is r at least as big as -825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1756086, 3512173, 5268260, 7024347, 8780434, 10536521?\nAnswer: 12292608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**1))\/((x\/(x\/x**(-5)*x))\/x))\/(((x*(x\/((x\/(x**0\/x*x))\/x))\/x)\/x)\/x*x*x\/x**2) assuming x is positive.\nAnswer: x**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4\/3 - 16*r**3 - 44*r**2\/3.\nAnswer: -4*r**2*(r + 1)*(r + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 + 0.7. Let m = -1 - -1.2. Let z = -2.2 - 0.8. What is the closest to u in m, z, 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -427 - -602. Let f = 105 - c. Let x = -60.9 - f. What is x rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.267 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + (-2)\/18)\/(6\/9). Which is the closest to 0.1? (a) 1\/5 (b) k (c) -894\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 r, and 1 x when four letters picked without replacement from lrqrmrqmrmqmqrxm?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 370428689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2223 and 1976?\nAnswer: 17784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18350 + -5?\nAnswer: -18355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14*126\/98*(-2)\/12. Put b, 4, -262, -4, 3 in ascending order.\nAnswer: -262, -4, b, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 698009, 2792045, 6282105, 11168189, 17450297?\n\"Answer: 698012*q**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Let s be x\/((-12)\/14 + 1). Let a(d) = -2 + 2*d**2 - 4*d**2 + 3*d**2 - 1 - 8*d + 2*d. Give a(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**4\/2 - 4951*y**3\/4 + 2119975*y**2\/4 - 529375*y\/2 = 0.\nAnswer: 0, 1\/2, 550, 1925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 - (-1 + 0))*(-4)\/(-6). Suppose 0*m - d*m = 0. Solve -2*r + b = m, -2*r - b = -5*b + 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 + 2.93. Let m = 3.1 - l. Let i = -10412\/5 + 2082. Which is the closest to m? (a) 3\/4 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -369*d**4\/5 - 25041*d**3\/5 + 1160553*d**2\/5 - 912687*d\/5 - 222456\/5 = 0. What is d?\nAnswer: -299\/3, -8\/41, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*o + 6 = 0, 0 = -2*o - 2 - 2. Let m(w) = w**2 + 4*w - 6. Let p be m(b). What is the highest common factor of p and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s + 5 = -33*s + 69*s - 5*y, -2 = 246*s + 2*y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -25 (b) 19 (c) 1\/4 (d) 0.04 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -849*x**3 - 27457*x**3 - 14470*x**3.\nAnswer: -42776*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**5\/20 - p**4\/6 + p**3\/2 + p**2\/2 - 2*p. Let q be c(-3). List the prime factors of q*2\/((-6)\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 14 + 29 + -50.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11459 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -22*c**2 - c - 5. Let m(x) = -62*x**2 - 3*x - 14. Let f(r) = -4*m(r) + 11*s(r). Calculate f(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*y, -3 - 13 = 3*k - 4*y. Suppose k = 3*a - a - 6. Suppose 0*l = a*l. Solve l = 2*g - 1 + 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.0640743 and 0.04.\nAnswer: -1.0240743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/55 - (((-146680)\/1144)\/(-5) + (-168)\/364)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2575 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdcdvycbbdyybdyc. What is prob of picking 2 d?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.01 - 198.7?\nAnswer: -170.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4164.9 - -4165. Which is the closest to p? (a) -2 (b) -0.4 (c) -2\/17 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 340, 2\/5, 2, -2635 in increasing order.\nAnswer: -2635, 2\/5, 2, 340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1772 - 2\/10*10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4*k - k - 18 = 0, 5*k + 25 = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 7140573\nAnswer: 35702865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 13 = -3*u - 5, -3*u = 5*j + 14. Let h = -5 - u. Let r(q) = 4*q + 1. Let v(i) = -240 - 38*i + 123 + 86*i - 19*i + 118 - 27*i. Give h*r(b) - 5*v(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w + 3 - 1 + 3*w. Suppose 17*s - 171 = -164*s + 175 + 378. Let j(g) = 8*g + 3. Give s*v(m) - 3*j(m).\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 24 = 16*j. Solve o + j*p = -4, 0 = p + 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 255*h + 25. Let p(f) = -73*f - 8. Let c(k) = -7*p(k) - 2*u(k). Let z be 1 - 3\/(3\/(-2)). Suppose 3*t = z*x - 9, 2*t = 3*x + x - 2. Calculate c(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 750?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 601652953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 31. Let i = a + 22. Does 3 divide ((-2)\/(-6))\/(1\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + (-2 + (sqrt(153)*2)**2)*2).\nAnswer: -6100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(1\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*x + 5. Suppose 4*t = -m + 2*m + 11, 4*t - 5*m = -9. Which is greater: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/4 (b) -5 (c) 293 (d) -2210 (e) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + 29. Is 3 - 6\/(-4)*(y + 1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43 + 32564108?\nAnswer: 32564055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92032062 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 316*f**2 - 94*f - 127. Is a(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 26*c**3 + 26*c**3 - 3 + 24*c**3 + 2 - 78*c**3. Let t(m) = m**2 - 4*m + 4. Let x be t(3). Give a(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97 + 139. Let c = m - 39. Suppose d = 2*w + 1, d - 3 = -3*w + c. Solve -13 = -2*g - 2*i - i, -d = 3*g - 3*i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 24*t. Let k(i) = 29*i**2 - 3. Determine k(o(q)).\nAnswer: 16704*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21352 + 0.0971843916?\nAnswer: -21351.9028156084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 8*b**2 - 2*b + 2. Let x be m(0). Suppose 3*g = 2*y - 0*y + 9, -5*y = x*g - 25. Solve g*z - z - z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/(-15))\/((-2)\/3) + 0. Suppose -5*f = 2*w + 1210 - 6426, -y*w + 6 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*a - 5*a + 7*a = -227*a - 9207 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 3*j**2 - 9)*(-2*j**2 + 4*j**2 - 3*j**2)*(69 + 254 + 200 + 239) to x*j + q*j**3 + n*j**4 + l + p*j**2 and give n.\nAnswer: 2286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 16946.\nAnswer: 152514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-4))\/((-15)\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 17 = 4*w. Suppose 9 = -n + w*n. What is v in -14*v + 2*v**2 - 1 - n*v**2 + 12*v = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 21*t**2 - 42*t - 10. Let b be a(-26). What is the hundreds digit of ((-4)\/(-8))\/(3 - (-6891)\/b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f - 11. Let a be o(-8). Calculate the common denominator of (a\/3)\/(-5) + -10 and 2*(36\/22 - 1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= -493\/934?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mooc when four letters picked without replacement from mcmoioowoomo.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1058 = 799. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125768597.999943 + -125768667. Let u = t + 69. Round u to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*k + n = 43*k + 99, 0 = 5*k + 5*n - 95. Solve 0 = -2*t + 5*b + 11, 4*b - 4 = 4*t - k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, 3, 2, 16 in decreasing order.\nAnswer: 16, 9, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 663?\nAnswer: -664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 13 = -3*j, 3*s - 6*j = -j - 19. Suppose s*i = 22 + 42. Calculate the remainder when i is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iibi.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(4*h - 4*h - h**2) + 0*h**2 + 2*h**2 - h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -156*r**2 - 36*r**3 + 154*r**2 + 13*r**3 + 7*r**4 - r in the form x + c*r**4 + w*r + o*r**3 + f*r**2 and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -463 in descending order.\nAnswer: 5, -1, -463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1097 at least -14277\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = -6. Calculate the common denominator of (-28)\/(-21)*(-1)\/k and -73\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvvh. What is prob of picking 2 h and 1 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s + 2 - s**3 + 3*s**2 + 5*s - 6*s. Let n be u(4). Let z be (-54)\/60 - 4\/n. Which is the biggest value? (a) z (b) 0.2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 46 = -v - 3*p, -v + 4 = -2*p. Suppose v = -2*w - 2*x, -x - 8 = w + x. Solve a = -w*a - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.2 - 6.6. Let v = 1164.5 - 1161.5. Sort -3, x, -2, v in ascending order.\nAnswer: -3, -2, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 14227, 2\/223?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125987\/16 - 7870. Find the common denominator of s and -4 + -1 - 258\/(-108).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8213 less than -8215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 605 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39.05 - -4.75. Let w = v - -34. Let t = -0.1 - -0.2. What is the third smallest value in 0, w, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56287 divided by -119?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 89889.4584ns in weeks?\nAnswer: 0.00000000014862675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5 - 1381*x**4 + 85963*x**3 - 42636*x**2 = 0.\nAnswer: -748, 0, 1\/2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3388 = 5*n + 3450, 0 = -4*n - 48 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30093 and 85785.\nAnswer: 122929905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43030, 44693, 47464, 51343?\nAnswer: 56330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -54c32c (base 14) in base 8?\nAnswer: -12761664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 15*s + 87. Suppose 6*y + 16 = -2*n + 4*y, -4*y + 17 = -3*n. What is the remainder when 86 is divided by u(n)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -18. Suppose -3*a + 19 = 4*f, a + 0*a = -f + m. What are the prime factors of f\/(((-4)\/1)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405232747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtxx when four letters picked without replacement from {t: 7, x: 7}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 14*h**2 + 706*h + 6202. Calculate o(-9).\nAnswer: 982","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 4*i = -11*h - 0*h + 8, i - 22 = 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**5\/20 - z**4\/2 - z**3\/3 + 3*z**2 + z. What is the remainder when 52 is divided by b(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 99, 129, 177, 249, 351, 489?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 10*v**2. Let d(i) = -17*i + 9. Let q = 10 - 12. Let w(a) = 4*a - 2. Let l(m) = q*d(m) - 9*w(m). Determine l(x(n)).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + -37 - (-13 + -32 + 61 - 27).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -7 + 3. Suppose 4*d - 58 = -c. Solve -3*x - 5*t - 7 + 35 = 0, -2*t + d = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a. Let y(p) = 84*p - 43. What is z(y(j))?\nAnswer: 252*j - 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4476 + 3?\nAnswer: 4501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27307553 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.1 in 2\/11, 0.495, -2\/13, -1\/10, 0.1?\nAnswer: 0.495","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.109 * 0.33\nAnswer: -0.03597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4391370 or 4391376?\nAnswer: 4391376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36872 and 74582?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 68*f - 8 + 4 in the form r + c*f and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/4 - 2695*j**3\/4 - 192303*j**2\/2 - 4471637*j - 68938222.\nAnswer: (j - 2833)*(j + 46)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.005 - 9.595. Let j = 149.3 - 139.6. Let r = j + x. Which is the second biggest value? (a) 2 (b) 2\/7 (c) r (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -17367702.3?\nAnswer: 17367702.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10944 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7*k = 12*k - 3529, 5*k - 886 = -g. What is the smallest common multiple of g and 7?\nAnswer: 6167","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25, 178, 433, 790, 1249, 1810, 2473?\n\"Answer: 51*p**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -16*d - 2. Let q(l) = 1. Let h(x) = -2*x + 12. Let r = -49 - -50. Let n(j) = r*h(j) - 12*q(j). Give p(n(t)).\nAnswer: 32*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2252 or -110375\/49?\nAnswer: -110375\/49","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3015 equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2351526 divided by 6?\nAnswer: -391921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -2031?\nAnswer: -2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**3\/11 - 888*j**2\/11 + 131424*j\/11 - 6483584\/11 = 0.\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (-32 + (-18 - 2) + 41).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2\/3*s**2 + 2*s**5 - 14\/3*s**4 + 0*s + 0 + 10\/3*s**3 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2322838?\nAnswer: 2, 7, 83, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*w - f, -24 = w + 3*w - f. Let s be -13*(w + 2 + -1). Suppose -5*y + s = 2*a, -4*y + 112 = 2*a + 2*a. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/j**(-1))**(-5\/4)\/(((j*(j**7*j)\/j)\/j)\/(j**(-3\/7)*j))*(j\/(j*j**(-4\/3)))\/j**(-4)*(j\/j**3)\/j**(-2\/11) assuming j is positive.\nAnswer: j**(-1828\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -375.98 + 411. Let b = k + -35. What is the nearest to b in 0.4, -4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -787*t**3 + 9*t**2 + 14*t + 19. Is l(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1102112000102 (base 3) to base 13\nAnswer: -20712b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 1320 - 197 = 5*p, 3*p = -h + 684. Suppose n + 0*n = 3. Suppose 0 = -5*g + 15, p = 3*d + n*g - 49. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 20 = 4*p. Let t(r) = 7*r**2 + 3*r + 5. Let u(d) = 6*d**2 + 4*d + 5. Let n(k) = p*t(k) + 3*u(k). Differentiate n(b) wrt b.\nAnswer: -20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*j = 3 + 1, 0 = -2*h - 4*j - 24. Let p = -31\/38 - -6\/19. What is the nearest to 0.2 in h, -2\/11, p?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 22*m - 17. Which is greater: m or -24?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 20*f + 18. What is b(-2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -675 - -668. Let z be (-1)\/(120\/525 - (-3)\/b). Is z greater than -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**4 + 1200*o**3 - 167244*o**2 + 330872*o - 164832 = 0.\nAnswer: -404, 1, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.01 - 0.01. Let j = -29562.6 - -29560.5999968. Let r = m + j. Round r to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 267457.804 to the nearest 100.\nAnswer: 267500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -609696 divided by -21024\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 1. Let h(d) = -103*d**2 - 2*d - 3. Give -h(o) + 3*l(o).\nAnswer: 100*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4 - 42. Let x(d) = 9*d - 2 - 2*d + 5*d - 3. Calculate the remainder when x(8) is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, w: 4, h: 5}. What is prob of picking 2 w and 2 h?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1019679 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 0. Let u = 0 - a. Find the second derivative of -u*o + o**3 + o + 3*o wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67485783*g**2 + 74981985?\nAnswer: 134971566*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11175*n - 16524 wrt n?\nAnswer: -11175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 0*d + 0*d**3 + 3\/70*d**7 + 0*d**4 + 0*d**5 + 1\/56*d**8 - 2*d**2 - 1\/20*d**6 - 35. What is n in r(n) = 0?\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11552? (a) 2\/17 (b) -4 (c) 30 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3640838*k**3 - 4*k**2 + 75323812*k wrt k.\nAnswer: 21845028*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u**3 + 2*u**2 + 2*u + 1. Let z(g) = -g**2 + 8*g - 8. Let j be z(6). Suppose -2 - 2 = j*c. Determine l(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.5416 times -237?\nAnswer: 5816.3592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (328 - 333) + 21 + 1 + -18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t**2 - 3166*t. Let n(f) = 2*f. Determine h(n(r)).\nAnswer: 28*r**2 - 6332*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 7*g**2 - 8*g + 3. Let d be f(8). Suppose z = -d*z + 316. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - y = 2*d - 494, d - 130 = 3*y. Suppose -3*w + 50 = -d. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z**2 - 2*z + 2*z)*(-5*z**2 - 7 + 7) to the form k*z**4 + x*z**3 + d*z + v*z**2 + j and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-4) + ((-166705)\/20)\/(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 130 - 402 = 0. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i - 5*i + i**3 + 11 + 11*i. Let t be l(0). Calculate the highest common divisor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 30*j - 26. What is g(-31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/15)*t**(-6)*t)\/(t*t*t*(t*t*t**(-2))\/t)**38 assuming t is positive.\nAnswer: t**(-1217\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 504\/36 - 218\/16. Let j(w) = w**3 + 4*w**2 - 4*w. Let x be j(-5). What is the closest to x in v, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 23. Let v = -248 + 256. What is the least common multiple of a and v?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*f + 4. Let j = 3 + 0. Let g(m) = 10 + m - 8 - m**f - j*m. Give g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 19*x - 4. Determine c(-16).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q + 1766 = n + 1526, -3*n + 32 = 4*q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -817 - -821. Let c(b) = -11*b**2 + 7*b + 1. Let q(o) = -13*o**2 + 8*o. Let i(t) = 6*c(t) - 5*q(t). Determine i(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22*1500\/(-4400)*3*-4?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 329929 or 329936?\nAnswer: 329936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = j - 5*w + 2, 0 = 4*j + 4*w - 8. Suppose 5*q + 17 = -j*k, 2*k - k - 7 = q. Calculate the common denominator of 8\/9 and (-68)\/10 + 0\/k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*s + n - 285, -3*s = -5*n - 140. Let r = 99 - s. What is the tens digit of 935\/r - (-2)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**4 - 1019*z**3\/2 + 765*z**2\/2 + 12489*z. Factor b(u).\nAnswer: -3*(u + 255)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/13*o**4 + 0 - 6\/13*o**3 + 0*o + 0*o**2 = 0 for o.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 138 - 74. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 13. Suppose -4*r + c = -81, r - a*c + 75 = 6*r. Let y = 496 + -460. Calculate the remainder when y is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19114041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 31. What is the fourth smallest value in p, 6, 5, 0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-18) - 263846\/4020 - (182\/35 - 6).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 41110910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - 11*d + 12. Let b be v(5). Solve 0 = 5*s - 2 + b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 0) + 1*208. Let g(w) = w - 1. Let u be g(3). Suppose h - u*k = k + o, h - 5*k = 214. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71350 rounded to the nearest one thousand?\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 115826292.\nAnswer: 231652584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -55, -84, -113, -142?\n\"Answer: -29*u - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**2. Suppose 3*r + 3*r = 12. Let f(k) be the second derivative of -k - 1\/3*k**3 + 0*k**r + 0. What is l(f(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 3, 2\/41, -351\/7?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*j - 12600 = 0. Round j to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + c - 3 + 0 = 0, -r + 6 = 2*c. Suppose r*q - 2*q + 8 = 0. Suppose -96 - 32 = -q*m. What is the highest common factor of m and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/2? (a) -4 (b) -0.7 (c) 9\/5 (d) 1 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9946549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**2 - 3*x + 3. Suppose -2*s + 6*s = 8. Let t be c(s). Calculate the greatest common factor of 10 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 4:07 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 228356000 to the nearest 1000000.\nAnswer: 228000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 721 = -4*f, 14*k = 11*k + f + 453. Solve k = -4*s + 161 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 134, 136, 138, 140?\n\"Answer: 2*l + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 24*s + 25. Let w be u(-1). What is the smallest value in 0.29, 0.2, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*x - 14*x - 15*x + 64*x - 11*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*4*(sqrt(5324) + (-1*sqrt(5324)*-4 - sqrt(5324))**2).\nAnswer: -191665 - 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -2)*1 - 3. Let m = 36 + f. Calculate the greatest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -19*g + 2*v, v + 643 = 4*g + 638 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**3\/3 - 3*n**2\/2 - 4*n - 2. Let f be p(5). Suppose v = f + 16. 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 closest to 1 in -2202\/61, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -632229 (b) 2 (c) -3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1589 + -1582. Sort -0.4, 37, h.\nAnswer: -0.4, h, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72 - -92) + -11 + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/379704 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(106*z**2 + 69*z - 25*z**2 - 82*z**2).\nAnswer: 2*z**2 - 138*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9522*m + 647495. What is k(68)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/8 - ((-250)\/4 + 0). Suppose 0 = -74*q + v*q + 2196. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -477408 divided by 5\nAnswer: -477408\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 14*i**2 - 25*i - 6. Let l be o(-12). Suppose -3*x + 4 + 2 = 0. Suppose 3*w = x*w + 2. Solve j = 2*z - 6, 20 - l = 3*j + w*z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -874*w**2 + 792*w + 13615*w**2 - 791*w + 103*w**2. Let d(j) = j. What is x(d(g))?\nAnswer: 12844*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 133 + -132 - (-1 - 141).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5*s - 24. Let d be (s\/(-7))\/((-4)\/14). Which is the biggest value? (a) 1 (b) 0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (259 - 183 - 378)*(0*y**3 - 3*y**4 + 0*y**3) - 2*y**4 + 0*y**2 + 0*y**2 + (0*y**3 - 2*y**3 + 3*y**3)*(y + 1 - 1) + 2*y**4 + 4*y**4 - 4*y**4.\nAnswer: 907*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -157967 + 14374601\/91. Let l = -31\/7 - i. Is 0 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -18, -35, -48, -51, -38?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}